Solve for x. Round to the nearest hundredth.
A
19.49
B
7.39
C
15.36
D
9.38
Answers
Related Questions
Anne plans to increase the prices of all the items in her store by 5%. To the nearest cent, how much will
an artist save if the artist buys a canvas and a frame that each measure 24 by 36 inches before the
price increase goes into effect
Answers
Answer:
Step-by-step explanation:
We don't know the first price?
Samantha works at a nursery where sh pots plants. It takes her 1-1/2 hours to pot 12 plants
Answers
Samantha works at a nursery where sh pots plants. It takes her 1-1/2 hours to pot 12 plants. So, Samantha takes7.5 minutes to pot one plant.
Samantha takes 1-1/2 hours to pot 12 plants. To find out how long it takes her to pot one plant, we need to divide the total time taken by the number of plants potted.
There are a few steps we can take to simplify the calculation. First, we can convert 1-1/2 hours to a decimal by adding 1 to 1/2, which gives us 1.5 hours. Then, we can divide 1.5 hours by 12 plants to find the time it takes to pot one plant.
1-1/2 hours = 1.5 hours
Time taken to pot one plant = 1.5 hours / 12 plants
Time taken to pot one plant = 0.125 hours per plant
Finally, we can convert hours to minutes by multiplying by 60.
0.125 hours per plant = 7.5 minutes per plant
Therefore, it takes Samantha 7.5 minutes to pot one plant.
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Question:
Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in 1 hour? (Please give me the equation you used.)
Find the taylor series, using the definition for the given function
f(x) centered at the given value of a. Assume the power series
expansion exists.
f(x)= xlnx, a=3
Answers
The Taylor series represents an approximation of the function f(x) near the point a = 3.
To find the Taylor series expansion of the function f(x) = xln(x) centered at a = 3, we can start by finding the derivatives of f(x) and evaluating them at x = 3. Then, we can use the formula for the Taylor series coefficients to obtain the series representation.
Step 1: Find the derivatives of f(x):
f(x) = xln(x)
f'(x) = ln(x) + 1
f''(x) = 1/x
f'''(x) = -1/x²
f''''(x) = 2/x³
Step 2: Evaluate the derivatives at x = 3:
f(3) = 3ln(3) (value of f(x) at x = 3)
f'(3) = ln(3) + 1 (value of f'(x) at x = 3)
f''(3) = 1/3 (value of f''(x) at x = 3)
f'''(3) = -1/9 (value of f'''(x) at x = 3)
f''''(3) = 2/27 (value of f''''(x) at x = 3)
Step 3: Write out the Taylor series using the Taylor series coefficients:
The general formula for the Taylor series expansion of a function f(x) centered at a is:
f(x) = f(a) + f'(a)(x - a) + (f''(a)/2!)(x - a)² + (f'''(a)/3!)(x - a)³ + ...
Substituting the evaluated derivatives at a = 3, we get:
f(x) = 3ln(3) + (ln(3) + 1)(x - 3) + (1/2)(x - 3)² - (1/9)(x - 3)³ + (2/27)(x - 3)⁴ + ...
Simplifying the expression, we have:
f(x) = 3ln(3) + (ln(3) + 1)(x - 3) + (1/2)(x - 3)² - (1/9)(x - 3)³ + (2/27)(x - 3)⁴ + ...
Therefore, the Taylor series expansion of f(x) = xln(x) centered at a = 3 is:
f(x) = 3ln(3) + (ln(3) + 1)(x - 3) + (1/2)(x - 3)² - (1/9)(x - 3)³ + (2/27)(x - 3)⁴ + ...
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Answer the A, B or C from the image. I understand it will be challenging… so I will be giving brainliest to whoever answers more than one. And many points to whoever answers even one.
!Any fake answers; ex. Blank answers. Will be reported!
Take as much time as you need, I will be trying to answer them myself in the meantime.
Answers
B. The subtraction should occur within the parentheses before the exponent is applied.
C. Follow PEMDAS rules to solve.
See details:
“The total of eight times a number and five"
Answers
Answer:
8x + 40
Step-by-step explanation:
8(x+5)
8 times x = 8x
8 times 5 = 40
Answer:
8 x____=5 i got 0.625 as a decimal and 5/8 as a fraction, i dont even know if thats the answer u were looking for but ok, Hope this helps ;D
Step-by-step explanation:
please answer this
9²+5x2+ 1³
Answers
Just need to add them up
Answer: your answer would be 92 .
Step-by-step explanation: all you have to do is add . hope this helped <3 .
What is the missing number?
o
14
28
42
56
?
84
98
112
126
I DON'T KNOW
SUBMIT ANSWER
CENTURY
Answers
Answer:
70
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
This is a simple multiplication. 14 ×1=14
14×2=28
14×3=42
14×4=56
14×5=70
...
4x + 6y = -22
y + 3x = 1
Solution
Answers
Answer:
(-7,22)
Step-by-step explanation:
X=-7 and y=22
Determine the zero-state response, Yzs(s) and yzs(t), for each of the LTIC systems described by the transfer functions below. NOTE: some of the inverse Laplace transforms from problem 1 might be useful. (a) Î11(s) = 1, with input Êi(s) = 45+2 (b) Ĥ2(s) = 45+1 with input £2(s) (C) W3(s) = news with input £3(s) = 542. (d) À4(8) with input Ê4(s) = 1 s+3. s+3 2e-4 4s = s+3 = 4s+1 s+3.
Answers
In a linear time-invariant system, the zero-state response (ZSR) is the output of the system when the input is zero, assuming all initial conditions (such as initial voltage or current) are also zero.
(a) For H1(s) = 1, the zero-state response Yzs(s) is simply the product of the transfer function H1(s) and the input Ei(s):
Yzs(s) = H1(s) * Ei(s) = (45+2)
To find the time-domain zero-state response yzs(t), we need to take the inverse Laplace transform of Yzs(s):
yzs(t) = L^-1{Yzs(s)} = L^-1{(45+2)} = 45δ(t) + 2δ(t)
where δ(t) is the Dirac delta function.
(b) For H2(s) = 45+1, the zero-state response Yzs(s) is again the product of the transfer function H2(s) and the input E2(s):
Yzs(s) = H2(s) * E2(s) = (45+1)E2(s)
To find the time-domain zero-state response yzs(t), we need to take the inverse Laplace transform of Yzs(s):
yzs(t) = L^-1{Yzs(s)} = L^-1{(45+1)E2(s)} = (45+1)e^(t/2)u(t)
where u(t) is the unit step function.
(c) For H3(s) = ns, the zero-state response Yzs(s) is given by:
Yzs(s) = H3(s) * E3(s) = ns * 542
To find the time-domain zero-state response yzs(t), we need to take the inverse Laplace transform of Yzs(s):
yzs(t) = L^-1{Yzs(s)} = L^-1{ns * 542} = 542L^-1{ns}
Using the inverse Laplace transform from problem 1, we have:
yzs(t) = 542 δ'(t) = -542 δ(t)
where δ'(t) is the derivative of the Dirac delta function.
(d) For H4(s) = 2e^(-4s) / (s+3)(4s+1), the zero-state response Yzs(s) is given by:
Yzs(s) = H4(s) * E4(s) = (2e^(-4s) / (s+3)(4s+1)) * (1/(s+3))
Simplifying the expression, we have:
Yzs(s) = (2e^(-4s) / (4s+1))
To find the time-domain zero-state response yzs(t), we need to take the inverse Laplace transform of Yzs(s):
yzs(t) = L^-1{Yzs(s)} = L^-1{(2e^(-4s) / (4s+1))}
Using partial fraction decomposition and the inverse Laplace transform from problem 1, we have:
yzs(t) = L^-1{(2e^(-4s) / (4s+1))} = 0.5e^(-t/4) - 0.5e^(-3t)
Therefore, the zero-state response for each of the four LTIC systems is:
(a) Yzs(s) = (45+2), yzs(t) = 45δ(t) + 2δ(t)
(b) Yzs(s) = (45+1)E2(s), yzs(t) = (45+1)e^(t/2)u(t)
(c) Yzs(s) = ns * 542, yzs(t) = -542 δ(t)
(d) Yzs(s) = (2e^(-4s) /
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Peanuts cost 6.40 per kg what is the cost of 400 g peanuts
Answers
Answer:
$25.60
Step-by-step explanation:
1 kg = 1000 grams
peanuts = 6.40 per kg = 0.064 per grams
0.064*400 = 25.6
$7.95 lunch; 15% tip
Answers
Answer:
Ok $1.19 tip.
Step-by-step explanation:
So 7.95 (0.15)= 1.1925
round to nearest dollar, $1.19
Answer:
1.1925 dollars
Step-by-step explanation:
1% of 7.95 is 0.0795
0.0795 x 10 = 0.795
0.0795 x 5 = 0.3975
15% = 1.1925 dollars
Roberto' employer offer a liding paid vacation. When he tarted work, he wa given three paid day of vacation. For each ix-month period he tay at the job, hi vacation i increaed by two day. Let x repreent the number of 6-month period worked and y repreent the total number of paid vacation day. Write an equation that mode the relationhip between thee two variable
Answers
An equation that mode the relationship between thee two variable is y=2x+3 .
Let x represent the number of 6-month period worked
Let y represent the total number of paid vacation day
According to the question,
When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.
Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19
An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).
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Amelia has $100 in her savings account and plans on solving $20 per week. Write an equation to represent this situation.
Answers
Answer: 100 + (20 x W)
Step-by-step explanation:
100 is the money that is already in the account so it will just be added to what she saves afterward. W stands for the weeks she saves, which will be multiplied by 20 since it is what she will save per week.
The sum weights of tana and vara is 60kg and differences is 20 kg. find the weights of tana and vara.
Answers
Answer:
40kg and 20kg
Step-by-step explanation:
Answer:tana is 40 , Vara is 20
Step-by-step explanation:let x be tana, y be Vara.
x + y = 60
x - y = 20
Eliminate x by subtracting both equations.
Y -(-y) = 40
2y = 40
Y =20
Sub y=20 into x+y =60
X + 20 =60
X = 40
Question 9
A salad dressing recipe uses 12 parts oil, 3 parts vinegar, and 2 parts honey. Which of the following sets of ingredients are in a proportional
relationship with the recipe? Select all that apply.
A) 9 Tbsp oil, 2 Tbsp vinegar, 1.5 Tbsp honey
B) 6 Tbsp oil, 1.5 Tbsp vinegar, 1 Tbsp honey
C) 15 Tbsp oil, 4 Tbsp vinegar, 3 Tbsp honey
D) 18 Tbsp oil, 4.5 Tbsp vinegar, 3 Tbsp honey
E) 24 Tbsp oil, 6 Tbsp vinegar, 4 Tbsp honey
Answers
The sets of ingredients are in a proportional relationship with the recipe is option (B) and (D).
Proportions are commonly referred to as parts, portions, or numbers considered relative to the whole. The definition of ratio says that two ratios are proportional if they are equal. A ratio is a mathematical comparison of two numbers. If two groups of given numbers increase or decrease in the same proportion, the proportions are said to be directly proportional to each other. Ratios are indicated by the symbols '::' or '='.It is given that salad dressing recipe uses 12 parts oil, 3 parts vinegar, and 2 parts honey.
(A) We will compare the quantity of given element to the option .
\(\frac{12}{9} =\frac{3}{2} =\frac{2}{1.5} \\\\\frac{4}{3} \neq \frac{3}{2} \neq \frac{4}{3}\)
As the given quantities are not equal so , they are not proportional .
(B) We will compare the quantity of given element to the option .
\(\frac{12}{6} =\frac{3}{1.5} =\frac{2}{1} \\\\\frac{2}{1} = \frac{2}{1} =\frac{2}{1}\)
As the given quantities are equal so , they are proportional .
(C) We will compare the quantity of given element to the option .
\(\frac{12}{15} =\frac{3}{4} =\frac{2}{3} \\\\\frac{4}{5} \neq \frac{3}{4} \neq \frac{2}{3}\)
As the given quantities are not equal so , they are not proportional .
(D) We will compare the quantity of given element to the option .
\(\frac{12}{18} =\frac{3}{4.5} =\frac{2}{3} \\\\\frac{2}{3} = \frac{2}{3} = \frac{2}{3}\)
As the given quantities are equal so , they are proportional .
(E) We will compare the quantity of given element to the option .
\(\frac{12}{24} =\frac{3}{2} =\frac{2}{4} \\\\\frac{1}{2} \neq \frac{3}{2} \neq \frac{1}{2}\)
As the given quantities are not equal so , they are not proportional .
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Find the circumference and the area of a circle with radius 5 yd.
Use the value 3.14 for , and do not round your answers. Be sure to include the correct units in your answers.
5 yd
yd
Circumference:
Answers
The solution is in the attached below
Circumference=31.4yd
\(area = 78.5 {yd}^{2} \)
Helppp!!!
\( \dfrac{2}{15} \div \dfrac{20}{3} \)
.........
Answers
\({\huge \underline{{ \fbox \color{red}{A}}{\fbox \color{green}{n}}{\fbox \color{purple}{s}}{\fbox \color{brown}{w}}{\fbox \color{yellow}{e}}{\fbox \color{gray}{r } }}}\)
\( \sf \dfrac{2}{15} \div \dfrac{3}{20} = \dfrac{2 \times 20}{15 \times 3} = \dfrac{40}{45} = \dfrac{8}{9} \)
Answer :-
\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \Rrightarrow \dfrac{8}{9} \)
I hope I've helped : )
![Helppp!!![tex] \dfrac{2}{15} \div \dfrac{20}{3} [/tex].........](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/wGgH5Wg8dmeLJaS9A94zd3Fx3r4pSoZE.jpeg)
\(\dfrac{1}{50}\)
Step-by-step explanation:1. We multiply.\( \cfrac{2}{15} \times \cfrac{3}{20} \)
2. We join the fractions and put it only in 1.\( \cfrac{2 \times 3}{15 \times 20} \)
3. We multiply the one above which is 2 × 3.\( \cfrac{6}{15 \times 20} \)
4. Now we will multiply the below.\( \cfrac{6}{300} \)
5. Now we simplify.\( \cfrac{1}{50} \)
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![Helppp!!![tex] \dfrac{2}{15} \div \dfrac{20}{3} [/tex].........](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/NlOo1HI1VVS3ktZF0kp8nzJklX2qNcvB.jpeg)
what is 1.6 X 10³ in standard form
Answers
Answer:
Its 1,600
Step-by-step explanation:
You just move the decimal the number the exponent is, in your case its positive 3 so you move it 3 to the right.
Hope this helps!
1.6 X 10³ written in standard form is 1600.
What is scientific form of numbers ?Scientific form of numbers are written in base multiplied by powers of 10.Where base is greater than or equal to 1 and less than 10.Can be expressed numerically as 1≤base<10.
Scientific form of number are compact and takes less space and they are raise to exponents.
According to the given question a number 1.6×10³ is written in scientific form we have to convert this number into standard form.
We know 10³ = 1000.
∴ 1.6×10³ = 1.6 × 1000.
= 1600.
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assume the state of arkansas placed a tax on playing cards of 6 cents per pack. if the state generated $48600 in revenue, how many packs of cards were sold?
Answers
The number of pack of cards sold at the state of Arkansas is 8100.
Describe the term division?Multiplication is the complete reverse of division. If participants of 4 add up to 12, then 12 divided into three classes of equally sized results in 4 in each group.For the values given in question.
The tax on playing card in state of Arkansas = 6 cents per pack.
Total revenue generated = $48600.
Divide total revenue by one pack price to get the number of packs.
Number of pack = Total revenue/price of each pack
Number of pack = $48600/6
$48600.Number of pack = 8100
Thus, the number of pack of cards sold at the state of Arkansas is 8100.
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A square part of side 20 meters has a footpath along the boundary of width 10 meters. Find the area of parth.
Answers
The area of the path, given the square part side and the boundary width would be 400 square meters.
How to find the area of the path ?If the square park has a side length of 20 meters and there is a footpath along the boundary of width 10 meters, the total side length including the footpath is :
= 20 meters + 10 + 10
= 40 meters
Since it's a square, all sides have the same length. So, the total area of the park including the footpath is:
= 40 meters x 40 meters
= 1, 600 square meters
The area of the footpath itself is the total area minus the area of the park. The area of the park (without the footpath) is:
= 20 x 20
= 400 square meters
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I think somebody invented math just so he could torture us only awnser if you agree
Answers
Answer:
u right
Step-by-step explanation:
The price-demand equation and the cost function for the production of HDTVs are given, respectively, by
x = 9,000 - 30p and C(x) = 150,000 + 30x
where x is the number of HDTVs that can be sold at a price of $p per TV and C(x) is the total cost (in dollars) of producing x TVs.
(A) Express the price p as a function of the demand x, and find the domain of this function.
(B) Find the marginal cost.
(C) Find the revenue function and state its domain.
(D) Find the marginal revenue.
(E) Find R'(3,000) and R'(6,000) and interpret these quantities.
(F) Graph the cost function and the revenue function on the same coordinate system for 0
≤
x
≤
9
,
000
. Find the break-even points and indicate regions of loss and profit.
(G) Find the profit function in terms of x.
(H) Find the marginal profit.
(I) Find P'(1,500) and P'(4,500) and interpret these quantities.
Answers
The domain of this function p is (9,000 - x)/30, the marginal cost is 30 dollars per TV and revenue function is x(9,000 - x)/30. The marginal revenue is (9,000 - 2x)/30 and profit function in terms of x is R(x) -.
(A) To express the price p as a function of the demand x, we can solve the price-demand equation for p:
x = 9,000 - 30p
30p = 9,000 - x
p = (9,000 - x)/30
The domain of this function is the set of values of x for which the price is non-negative, since negative prices do not make sense in this context. Therefore, the domain is 0 ≤ x ≤ 9,000.
(B) The marginal cost is the derivative of the cost function with respect to x: C'(x) = 30
So the marginal cost is a constant value of 30 dollars per TV.
(C) The revenue function R(x) is the product of the demand x and the price p: R(x) = xp = x(9,000 - x)/30
The domain of this function is the same as the domain of the price function, which is 0 ≤ x ≤ 9,000.
(D) The marginal revenue is the derivative of the revenue function with respect to x: R'(x) = (9,000 - 2x)/30
(E) To find R'(3,000) and R'(6,000), we substitute x = 3,000 and x = 6,000 into the expression for R'(x):
R'(3,000) = (9,000 - 2(3,000))/30 = 100
R'(6,000) = (9,000 - 2(6,000))/30 = -100
Interpretation: R'(3,000) represents the extra money made from selling one more TV at a constant price when the demand is 3. When the demand is 6,000 TVs and the price remains the same, R'(6,000) represents the decrease in revenue from selling one fewer TV.
(F) To graph the cost function and the revenue function, we can plot the two functions on the same coordinate system, using the given domain of 0 ≤ x ≤ 9,000. The break-even points are the values of x for which the cost and revenue are equal, or C(x) = R(x).
C(x) = 150,000 + 30x
R(x) = x(9,000 - x)/30
Setting C(x) = R(x), we get:
150,000 + 30x = x(9,000 - x)/30
900,000 - 30x^2 = 30(150,000 + 30x)
900,000 - 30x^2 = 4,500,000 + 900x
30x^2 - 900x + 3,600,000 = 0
x^2 - 30x + 120,000 = 0
(x - 6,000)(x - 20) = 0
The break-even points are x = 6,000 and x = 20. These correspond to the intersections of the cost and revenue curves. The region to the left of x = 6,000 is a region of loss, since the revenue is less than the cost for x < 6,000. The region between x = 6,000 and x = 20 is a region of profit, since the revenue exceeds the cost for 6,000 < x < 20. The region to the right of x = 20 is again a region of loss, since the revenue is less than the cost for x > 20.
(G) The profit function is given by subtracting the cost function from the revenue function:
P(x) = R(x) -
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The ordered pair 0,-1 is located on which axis of a coordinate plane
Answers
In each graphic, the triangle was dilated to create the image triangle. Determine which scale factor was used for each dilation by dragging the correct scale factor to each graph.
pls help i well give brllant
Answers
The scale factor was used for each dilation are-
Part a: For ΔABC - scale factor = 2Part b: For ΔDEF - scale factor = 1/2Part c: For ΔGHJ - scale factor = 1/3Part d: For ΔKML - scale factor = 3Explain about the dilation:A transformation that changes the size of a figure is called a dilatation. This indicates that the preimage as well as image are similar and have been scaled up or down, respectively.
A dilatation that results in a reduction (imagine shrinking) or an enlargement (think stretching) produces a smaller or larger image, respectively.
Part a: For ΔABC
Length AB = 2 units
Length A'B' = 4 units
A'B' = 2 *AB
Thus, For ΔABC - scale factor = 2
Part b: For ΔDEF -
Length DF = 2 units
Length D'F' = 1 units
D'F' = 1/2 DF
Thus, For ΔDEF - scale factor = 1/2
Part c: For ΔGHJ -
Length GH = 3 units
Length G'H' = 1 units
G'H' = 1/3 GH
Thus, For ΔGHJ - scale factor = 1/3
Part d: For ΔKML -
Length KM = 2 units
Length K'M' = 6 units
K'M' = 3*KM
Thus, For ΔKML - scale factor = 3
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A random day is chosen (all days of the week are equally likely to be selected), and a random interval of length one hour is selected on the chosen day. It is observed that I did not receive any emails in that interval. What is the probability that the chosen day is a weekday
Answers
The probability that the chosen day is a weekday given that no emails were received in the randomly selected interval is 10/17.
Given that, A random day is chosen (all days of the week are equally likely to be selected), and a random interval of length one hour is selected on the chosen day. It is observed that I did not receive any emails in that interval.
We need to find the probability that the chosen day is a weekday.
To solve this problem, we can use Bayes' theorem. Let A be the event that the chosen day is a weekday and B be the event that there are no emails received in the randomly selected interval.
Then the probability of A given B is given by:
P(A | B) = P(A) × P(B | A) / P(B)
where,
P(A) = Probability that the chosen day is a weekday = 5/7 (since there are 5 weekdays out of 7 days in a week)
P(B | A) = Probability that there are no emails received in the randomly selected interval given that the chosen day is a weekday = Probability that the interval falls within the non-working hours of the day = 16/24 = 2/3 (since there are 16 non-working hours out of 24 hours in a day)
P(B) = Probability that there are no emails received in the randomly selected interval = Probability that the interval falls within the non-working hours of any day in a week = (5/7) × (2/3) + (2/7) × (4/24) = 34/63 (since the probability of selecting a weekday is 5/7 and a weekend day is 2/7, and the probability of the interval falling within non-working hours is 2/3 for weekdays and 4/24 for weekends)
Therefore,
P(A | B) = (5/7) × (2/3) / (34/63) = 10/17
The probability that the chosen day is a weekday given that no emails were received in the randomly selected interval is 10/17. Therefore, the answer is 10/17.
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BRAINLIEST!!! HELP QUICK!!! Find m YWX.
(9X - 28)
(5X - 8)
Answers
Step-by-step explanation:
step 1. These are 2 congruent right triangles.
step 2. They are congruent by the HL theorem.
step 3. so 5x - 8 = 9x - 28
step 4. 4x = 20
step 5. x = 5.
step 6. <ywx = 2(5(5) - 8) = 34°.
The required measure of the angle ∠YWX is given as 34°.
Given that,
To determine the measure of the angle ∠YWX for the given conditions shown in the figure.
The orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
here,
9x - 28 = 5x - 8
4x = 20
x = 5
Now,
Angle ∠YWX = 9x - 28 + 5x - 8
= 14x - 36
= 14[5] - 36
= 34°
Thus, the required measure of the angle ∠YWX is given as 34°.
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(Answer ASAP for Brainlist) Megan dilates ∆JKL about point J by a scale factor of 3/5 to create ∆JNO.
What is the length of segment NO?
Answers
The length of segment NO in the triangle JNO is 15 inches.
What is a dilation?Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.
Given that, Megan dilates ∆JKL about point J by a scale factor of 3/5 to create ∆JNO.
In ∆JKL, JK=20 inches, JL=32 inches and KL=25 inches.
Here, JN=3/5 ×20 =12 inches
JO=3/5 ×32 =19.2 inches
NO=3/5 ×25 =15 inches
Therefore, the length of segment NO is 15 inches.
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Which angle measures would form a triangle?
A. 40°, 130°, 15°
B. 22°, 118°, 40°
C. 50°, 100°, 40°
D. 4°, 160°, 15°
Answers
Answer:
B. 22°, 118°, 40°
Step-by-step explanation:
As angles in a triangle equals 180°
Just a cheerful teen willing to help,
as always, hope you're having a splendiferous day(or night)
A class used cars and vans to go on a field trip because all of the buses were already in use. They used 15 vehicles to go on the trip. Each car holds 4 students and each van holds 6 students. If 74 students went on the trip, then how many of each type of vehicle did the class use?
Answers
Answer:
8 cars and 7 vans
Step-by-step explanation:
Let c =number of cars
v = number of vans
c+v = 15
4c+6v = 74
Multiply the first equation by -4 to eliminate c
-4c -4v = -60
Adding the second equation
-4c -4v = -60
4c+6v = 74
-------------------
2v = 14
Divide by 2
2v/2 = 14/2
v = 7
There are 7 vans
c+v = 15
c+7 = 15
c = 15-7
c = 8
There are 8 cars
Reason Abstractly Explain why-11 is less than-7, but|-11| is
greater than |-7|
Answers
Answer:
In negative integers, the bigger negative number has a lesser value than a smaller negative number which makes − 11 -11 −11 less than − 7 -7 −7. Here is another explanation here's the Reason, -11 is taking away more while -7 is taking away less and heres the next one, |-11| is greater BUT if you take the bars away its less same for |-7|
Step-by-step explanation:
Answer:|x| makes the number positive
Step-by-step explanation: so -11 obviously less then -7 but if u make it
|-11| it turns to 11 so 11>7