Which transformation(s) can be used to map one
triangle onto the other? Select two options.
Oreflection only
Otranslation only
Odilation, then translation
Orotation, then translation
Orotation then dilation
Answers
The transformation(s) that can be used to map one triangle onto the other is : (C). dilation, then translation
Meaning of dilation and translationDilation can be defined as the process of compressing and reducing a shape to a particular scale
Translation can be defined as a process of transferring a shape from one point to another.
In conclusion, The transformation(s) that can be used to map one triangle onto the other is : (C). dilation, then translation
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Related Questions
Two UNO students want to start a business selling slushies at the Gene Leahey Mall during the summer. They will have an initial cost of $500 to buy equipment and an additional $1.25 cost for each slushie they sell. They
plan to charge $3.50 for each slushie. Let C(x) represent the cost (in dollars) associated with starting and running the business and R(x) represent the revenue (in dollars) earned from sales. Let x represent the number
of slushies sold.
a. Write a linear function for cost.
C(x) =
b. Write a linear function for revenue.
R(x) =
Answers
Part (a)
The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.
\(C(x)=500+1.25x\)
Part (b)
The revenue is the number of slushies sold multiplied by the amount charged per slushie.
\(R(x)=3.50x\)
Which equation is parallel to y=-3 x + 4 and passes through the point (-3, 4)?
Answers
Answer:
y=−3x-5
Step-by-step explanation:
Answer:
Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=−3x+4y
y=−3x−5y
In the game of roulette, a player can place a $6 bet on the number 10 and have a 1/38 probability of winning. If the metal ball lands on 10, the player gets to keep the $6 paid to play the game and the player is awarded an additional $210. Otherwise, the player is awarded nothing and the casino takes the player's $6.
(a) What is the expected value of the game to the player? (Round to the nearest cent as needed.)
(b) If you played the game 1000 times, how much would you expect to lose?
Note that the expected value is the amount, on average, one would expect to gain or lose each game. (Round to the nearest cent as needed.)
Answers
The expected value of the game to the player is $5.95, and if they play 1000 times, they would expect to lose $5950.
The expected value of the game to the player is the average amount of money they can expect to win or lose in the long run. To calculate the expected value, we must multiply the probability of winning (1/38) by the amount of money won ($210) and subtract the probability of losing (37/38) by the amount of money paid to play ($6). This gives us an expected value of (1/38) x ($210) - (37/38) x ($6) = $5.95. If you played the game 1000 times, you would expect to lose $5950 in total, as the expected value of each game is -$5.95. This means that, on average, you would lose $5.95 for every game you play. Multiplying this amount by 1000 gives us our expected total loss of $5950.
The calculation for the expected value of the game and the total expected loss for playing it 1000 times is as follows:
Expected value = (1/38) x ($210) - (37/38) x ($6)
= ($5.526) - ($5.684)
= -$0.158
Therefore, the expected value of each game is -$0.158, which means that on average, a player can expect to lose $0.158 for every game played.
Total expected loss for playing 1000 times = (-$0.158) x 1000
= -$158
Therefore, if the game is played 1000 times, the total expected loss is -$158
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Which expression is equivalent to sin(20°)cos(80°) – cos(20°)sin(80°)?
A) sin(-60)
B) cos(-60)
C) cos(60)
D) sin(60)
Answers
Answer:
sin(-60)
Step-by-step explanation:
its in form of sin(A-B) which formula is SinA.CosB-CosAsinB
Given the complex number z=6(cos120+isin120), find z3
Answers
Answer:
B
Step-by-step explanation:
We are given the complex number:
\(\displaystyle z = 6(\cos 120^\circ + i\sin 120^\circ)\)
And we want to find z³.
Recall that:
\(\displaystyle z^n = r^n(\cos(n\theta) + i\sin (n\theta))\)
In this case, n = 3. Hence:
\(\displaystyle z ^3 = (6)^3 (\cos (3(120^\circ)) + i\sin (3(120^\circ))\)
Simplify:
\(\displaystyle z^3 = 216(\cos 360^\circ + i\sin 360^\circ)\)
Evaluate:
\(\displaysyle z^3 = 216( 1 + i(0)) = 216\)
In conclusion, our answer is B.
Complete the pattern 0.095 9.5 950 95,000 9,500
Answers
Answer:
the next number is 9,500,000 each time you multiply the number by 100
Step-by-step explanation:
0.095×100=9.5
9.5×100=950
and so on good luck
Find the new price for the markup given. Round to the nearest cent if necessary.
$132.75 discounted 40%
Answers
Answer: 6.6375
Step-by-step explanation:
The 40% under is 100. And you have to multiply the $132.75 to x. and the 40 to 100.
8×(13×4-8to the second power)-8
Answers
Answer:
-104
Step-by-step explanation:
13 x 4 =52
52 - 8 squared =-12
8 x (-12) - 8 = -104
I need to find how much Julia will pay so I have to solve for 3x+5y=50X+5y=31 but if I do that The answer that it gives me I can’t plug it in because is in ( 19/2,43/10) but I need Ane specific answer how can I solve for this ?
Answers
The first step is to find the values of x and y. From the information given,
x is the cost of an adult ticket and y is the cost of a child ticket. The system of equations is shown below
3x + 5y = 50
x + 5y = 31
From the second equation,
x = 31 - 5y
We would substitute x = 31 - 5y into 3x + 5y = 50. We have
3(31 - 5y) + 5y = 50
By expanding the parentheses, we have
93 - 15y + 5y = 50
- 15y + 5y = 50 - 93
- 10y = - 43
Dividing both sides of the equation by - 10,
- 10y/- 10 = - 43/- 10
y = 4.3
Substituting y = 4.3 into x = 31 - 5y, we have
x = 31 - 5 * 4.3 = 31 - 21.5
x = 9.5
If an adult ticket costs $9.5, then the cost of 4 adult tickets is
4 x 9.5 = $38
A bus holds 39 passengers. How many buses will 420 people need
Answers
Answer:
11 buses
Step-by-step explanation:
A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes 9 revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P ? (Round your answer to one decimal place.)
Answers
Answer:
The speed of light moving along the shoreline when it is 1 km from P is 2.1064 km
Step-by-step explanation:
We are given that a point 1 km from point P on the shoreline would form a a right triangle with the lighthouse, point P, and the point 1 km from point P.
The distance from that point to the lighthouse would be the hypotenuse.
That would also be the radius of the circle the beam of light is making at that point.
To find the hypotenuse
\(Hypotenuse^2 = Perpendicular^2 +base^2 \\r^2 = 1^2 +2^2\\r=\sqrt{1^2+2^2}\\r=2.236\)
Circumference =\(2 \pi r = 2 \times 3.14 \times 2.236=14.05 km\)
The beam of light is making at point 14.05 km away
One revolution: \(\frac{60}{9}= 6.67\) sec per revolution
Speed = \(\frac{14.05}{6.67}=2.1064\)
Hence The speed of light moving along the shoreline when it is 1 km from P is 2.1064 km
-6(7 + x) plzzzz help
Answers
Answer:
-6x-42
Step-by-step explanation:
Open parenthesis.
-42-6x is what you get once opened.
Answer:
6x−42
Step-by-step explanation:
A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests.
The system of equations below can be used to model the number of guests that were children, x, and the number of guests that were adults, y.
First, place a point on the graph representing the solution to the system of equations. Notice that one of the equations in the system has already been graphed.
Then, determine the approximate number of guests that were children and the approximate number of guests that were adults for that day.
Answers
The approximate number of guests that were children are 172 and adults are 278
How to determine the approximate number of guests that were children and adults for that day?From the complete question, we have the following system of equations
25x + 12y = 9014
x + y = 450
Make y the subject in x + y = 450
y = 450 -x
Substitute y = 450 - x in 25x + 12y = 9014
25x + 12(450 - x) = 9014
Expand the expression
25x + 5400 - 12x = 9014
Evaluate the like terms
13x = 3614
Divide both sides by 12
x = 278
Substitute x = 278 in y = 450 -x
y = 450 - 278
Evaluate
y = 172
Hence, the approximate number of guests that were children are 172 and adults are 278
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WILL AWARD BRAINLIEST!!
The base of a right prism ABC is an isosceles triangle with AB = BC and m∠ACB 35°. The diagonal of lateral face ABA is 18 cm and m∠BAB = 50°. Find the volume of the prism. Round your answer to the nearest cm
Answers
Answer:
351 cm^3
Step-by-step explanation:
The base of a right prism ABC is an isosceles triangle with AB = BC and m∠ACB 35°. The diagonal of lateral face ABA is 18 cm and m∠BAB = 50°. Find the volume of the prism. Round your answer to the nearest cm
ChatGPT
Let AB = BC = x be the base of the isosceles triangle ABC. Then, the third side AC is:
AC = 2x * sin(35°)
Using the sine rule in triangle ABA, we have:
AB / sin(50°) = 18 / sin(80°)
Solving for AB, we get:
AB = 18 * sin(50°) / sin(80°)
The height of the prism is AB * cos(35°). Therefore, the volume of the prism is:
V = (1/2) * x^2 * 2x * sin(35°) * AB * cos(35°)
Substituting the values we have calculated, we get:
V = (1/2) * x^2 * 2x * sin(35°) * [18 * sin(50°) / sin(80°)] * cos(35°)
V ≈ 351 cm^3
Therefore, the volume of the prism is approximately 351 cubic centimeters.
2/3 + 1/4
Answers should be in the format 5/2 or 2/5 no decimals or mixed numbers
Answers
Answer:
11/12
Step-by-step explanation:
2/3+1/4
8+3/12
=11/12
Really need help !!!!!!!!
Answers
A researcher wants to collect data on how many hours bears sleep during the year. The researcher decides to put an electronic device on all bears that live less than one-half mile from the research station. Are the conclusions drawn from this sample likely to be true for all bears?
Yes
No
Answers
Answer:
yes
Step-by-step explanation:
Let sets A and B be defined as follows.
A is the set of integers greater than -14 and less than -5.
B={h,i,s,x,z}
a) find the cardinalities of A and B
n(A)=
n(B)=
b) select true or false
-12 ∈ A
-21 ∈ A
s ∈ B
m ∉ B
Answers
A is the set of integers greater than -14 and less than -5. B={h, i, s, x, z}. The cardinalities of A and B are, n(A) = 8 and n(B) = 5.
-12 ∈ A, s ∈ B, and m ∉ B are True statements. Since, -21 does not belong to A, 21 ∈ A is a False statement.
Cardinalities of A and B
It is given that,
A = {n : -14 < n < -5, n ∈ Z} ............ (1)
B = {h, i, s, x, z} ......... (2)
Thus, from (1),
A = {-13, -12, -11, -10, -9, -8, -7, -6} ........... (3)
Cardinalities of A and B are the number of members in the set A and B, respectively. Therefore,
n(A) = 8
n(B) =5
Reason Behind True or False
As seen from (3), set A contains the element -12. Thus, -12 ∈ A is True.Again from (3), we can see that -12 does not belong to the set A. Thus, -21 ∈ A is FalseFrom (2), s is present in set B. Hence, s ∈ B is TrueSimilarly, m is not present in set B. Therefore, m ∉ B is TrueLearn more about cardinalities here:
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Sanju wants to sell his artwork at a local fair. He has created 10 pieces of artwork and has spent $44 in creating them. He wants to make a profit of $300 at the fair. What is the price he needs to sell each piece to make that profit?
Answers
Answer:
30 dollars
Step-by-step explanation:
Sice he has to make a profit of 300 dollars if you divide 100 by to you get 30.If Sanju sells the artwork at 30 dollars he will make 300 dollars
The price Sanju needs to sell each piece to make a profit of $300 overall is $34.4.
What is profit?The profit is the difference between the selling price and the cost price of an item.
The cost of 10 pieces of artwork is,
Cost of producing 1 piece = $44/10 = $4.4
The Profit on 10 pieces of artwork is,
Profit of each piece = $300/10 = $30
The selling price of each piece of artwork is,
Selling price of each piece = Cost of production + Profit
= $30 + $4.4
= $34.4
Hence, the price Sanju needs to sell each piece to make a profit of $300 overall is $34.4.
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The dean of a major university claims that the mean number of hours students study at her University (per day) is at most 4.9 hours. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis
Answers
Answer:
If the null hypothesis is rejected, the interpreatation is that there is significant evidence at the desired significance level to conclude that the mean time the students study at her university is of more than 4.9 hours.
Step-by-step explanation:
The dean of a major university claims that the mean number of hours students study at her University (per day) is at most 4.9 hours.
At the null hypothesis, we test if the mean is of at most 4.9 hours, that is:
\(H_0: \mu \leq 4.9\)
At the alternative hypothesis, we test if the mean is more than 4.9 hours, that is:
\(H_1: \mu > 4.9\)
Accepting the null hypothesis:
If the null hypothesis is accepted, the interpretation is that there is not significant evidence to conclude that the mean time the students study at her university is of more than 4.9 hours.
Rejecting the null hypothesis:
As is the case in this question, if the null hypothesis is rejected, the interpreatation is that there is significant evidence at the desired significance level to conclude that the mean time the students study at her university is of more than 4.9 hours.
Find the critical value
χ2R
corresponding to a sample size of 5 and a confidence level of 99.0 percent
Answers
The critical value, given the sample size of 5 and the confidence level of 99. 0 percent would be 16. 812.
How to find the critical value ?The critical values for the chi-squared (χ^2) distribution depend on the degree of freedom and the level of significance.
The degree of freedom for a chi-squared distribution typically equals the sample size minus 1 so the degrees of freedom here is:
= 5 - 1
= 4
The level of significance would be:
= 1 - 99. 0 %
= 0. 01
The critical value of the sample would therefore be found on a chi -squared distribution table for df = 4 and α = 0.01 to be 16. 812.
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Last summer, Marion was 3 1/2 feet tall. She was 4 inches taller than her brother Elijah. She was 1 1/4 feet shorter than her sister Lorie. How tall were Elijah and Lorie last summer?
1 foot = 12 inches
Solution:
Elijah:
inches
Lorie:
inches
NO LINKS
Answers
Answer:
Answers below
Step-by-step explanation:
Marion: 42 inches
Elijah: 38 inches
Lorie: 57 inches
Convert each to inches and solve.
Hope this helps!
What is (-3)x(5-7)-9(39/3)
Answers
Answer:-111
Step-by-step explanation:
PLS HELP!! i will fail if i don’t get this right:(
Answers
2/3 x -9/4 = -18/12. By reducing it’ll be -3/2, or -1 1/2 in mixed form.
4. P/E Ratios. Favorita Candy’s stock is expected to earn $2.40 per share this year. Its P/E ratio is 18. What is the stock price? (LO7-1)
Answers
Answer:
2.4*18 = $43.2
stock price is $43.2
Step-by-step explanation:
A factory makes aquariums. Each aquarium is in the shape of a triangular prism, as shown below. If the factory makes 288 aquariums, how much water will be needed to fill all of them (in cubic feet)?
Answers
Answer:
384
Step-by-step explanation:
Suppose that Andrea told you that “Blake and I started out with the same number of marbles, but I gave him one of mine. Now Blake has one more marble than me.” Is Andrea’s reasoning incorrect? If so, how can you help Andrea identify her misunderstanding?
Answers
I can explain it best by suggesting both Andrea and Blake start with 10 marbles.
If Andrea gave one (1) marble to Blake, Andrea now has 9 and Blake has 11.
find the height of the building when x = 3m, y = 6m, and d = 6m
Answers
Answer:
To find the height of the building, we can use the following formula:
height = y(d-x)/x
Substituting the given values, we get:
height = 6(6-3)/3
height = 6(3)/3
height = 6 meters
Therefore, the height of the building is 6 meters.
A researcher for a travel company is looking into the prices people are willing to pay for airplane tickets. The company has communicated that the overall population mean is $265 with a standard deviation of $40.93. The researcher has a sample of 130 ticket purchases from one location. By the central limit theorem, which interval can the researcher be 95% certain that the sample mean will fall within?
A.
$261.41 and $268.59
B.
$257.82 and $272.18
C.
$264.37 and $265.63
D.
$254.23 and $275.77
Answers
Answer:
I believe answer B.
What is the average of x, x-6 and x+2 ?
Answers
Answer:
the answer is 3x - 4 / 3
Step-by-step explanation:
x + x-6 + x+2 / 3
3x - 4 / 3