Answer:
a = 76
Step-by-step explanation:
a - 40 + a + 180 - (a + 36) = 180
a - 40 + a + 180 - a - 36 = 180
a + 104 = 180
a = 180 - 104
a = 76
Answer:
a = 76
Step-by-step explanation:
The remote angles theorem states that when one extends one side of a triangle, the sum of the two non-adjacent angles will equal the measure of the angle formed between the side of the triangle and the extension.
One can apply this theorem here by stating the following,
(a - 40) + (a) = (a + 36)
Simplify,
a - 40 + a = a + 36
2a - 40 = a + 36
Inverse operations,
2a - 40 = a + 36
-a -a
a - 40 = 36
+40 +40
a = 76
find the perimeter of the composite figure. 11 19.5 16 m 18m
The perimeter of the composite figure that is given above would be = 96.6m.
How to calculate the perimeter of the given figure?To calculate the perimeter of the given shape, it has to be divided into two.
First shape is a rectangle. Therefore the perimeter of a rectangle is calculated with the formula = 2(l+w)
Where ;
length = 16m
width = 11m
perimeter = 2(16+11)
= 2×27
= 54m
The second shape:
Perimeter of triangle = l+w+h
where;
length = 18-11 = 7m
width = 16m
height = 19.5m
perimeter = 7+16+19.5 = 42.5m
Therefore, the perimeter of the shape = 54+42.5 = 96.6m
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413 + (43x - 21) = 1080
Read the following statement: Line segment CD is congruent to line segment XY.
Which of the following is an equivalent statement? (4 points)
O CD - XY
O CDXY
O CD - XY
O CD e XY
Answer:
B. \(CD\) ≅ \(XY\)
Step-by-step explanation:
Eric's goal is to walk 2.75 miles to and from the park every day for an entire year. If he meets his goal, how many miles will Eric walk?
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 4
Blue 4
Green 15
Yellow 9
Purple 3
Based on these results, express the probability that the next spin will land on blue or green or purple as a percent to the nearest whole number.
Step-by-step explanation:
OUT of 35 spins 4 + 15 + 3 = 22 were blue or green or purple
22/35 probability = 63%
Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6.
The probability that the sum of the numbers rolled is either even or a multiple of 5 is
. The probability that the sum of the numbers rolled is either a multiple of 3 or 4 is
.
The probability that the sum of the numbers rolled is either even or a multiple of 5 is 61.11%.
What is Probability?Probability helps us to know the chances of an event occurring. The sum of all the probabilities of an event is always equal to 1. The formula for probability is given as,
Probability = Number of outcomes / Total number of outcomes
The total number of outcomes = 36
The number of outcomes whose sum is either even or a multiple of 5 = 22
The number of outcomes whose sum is either a multiple of 3 or 4 = 20
Now, the probability that the sum of the numbers rolled is either even or a multiple of 5 is,
Probability
= number of outcomes whose sum is either even or a multiple of 5 / total number of outcomes
= 22 / 36
= 11 / 18
= 0.61111
= 61.11%
Further, the probability that the sum of the numbers rolled is either a multiple of 3 or 4 is,
Probability
= number of outcomes whose sum of the numbers rolled is either a multiple of 3 or 4 / total number of outcomes
= 20 / 36
= 5/9
= 0.5555
= 55.55%
Hence, The probability that the sum of the numbers rolled is either a multiple of 3 or 4 is 55.55%.
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what is the value of x?
Answer:
\(\boxed{\sf x = 80}\)
Step-by-step explanation:
A quadrilateral inscribed in a circle has opposite sides equal to 180.
So,
x + x + 20 = 180
2x + 20 = 180
Subtracting 20 from both sides
2x = 180 - 20
2x = 160
Dividing both sides by 2
x = 80
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 80
▹ Step-by-Step Explanation
x + x + 20 = 180
2x + 20 = 180
2x = 180 - 20
2x = 160
x = 80
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Does the angle have to be
Answer:
Number 4
Step-by-step explanation:
Side-Angle-Side, it has to be between the two sides.
knowing that sin(60)=0.866, what is cos(30)
Answer:
knowing that sin(60)=0.866, what is cos(30)
Step-by-step explanation:
Cos 30 = 8.66
A survey of 2210 golfers showed that 389 of them are left-handed. Find a point estimate for p the population proportion of
golfers that are left-handed.
Answer:
The answer is 0.176
What is the sum of m and the number after it
The algebraic representation of the expression is (m + n)
AlgebraSum means addition (+)The number after m is nsum of m and the number after it
= m + n
Therefore, the algebraic representation of the expression is (m + n)
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If you sleep 30% of the day. how many hours did you sleep?
answer fast please
Answer:
7.2 hours
Step-by-step explanation:
24 · 0.3 = 7.2
which of these object does not represent a plane
a .top of a box b .blackboard c. cover of the book the d. star in the sky
Answer:
D. star in the sky
Step-by-step explanation:
To be honest, none of them represent the plane but I think that's a better answer. OwO
Let f be the continuous function defined on [-6,6]. Let g be the function given by g(x) = \(\int\limits^x_{-1} {f(t)} \, dt\) . Write an equation for the tangent to the graph of g at x=4
Answer:
\(\displaystyle h(x) = x-\frac{13}{2}\)
Step-by-step explanation:
We are given that:
\(\displaystyle g(x) = \int_{-1}^x f(t)\, dt\)
And we want to write the equation for the tangent to the graph of g at x = 4.
First, determine g(4):
\(\displaystyle \begin{aligned} g(4) & = \int_{-1}^{(4)} f(t)\, dt \end{aligned}\)
This is equivalent to the area of f from -1 to 4:
\(\displaystyle \begin{aligned} g(4) & = \frac{1}{2}(2)(3) + \frac{1}{2}(2)(-3)+\frac{1}{2}(-3+(-2))(1) \\ \\ & = \frac{1}{2}(6-6-5) \\ \\ & = -\frac{5}{2}\end{aligned}\)
Note that areas under the x-axis are negative.
Find g'(4):
\(\displaystyle \begin{aligned} g'(x) = \frac{d}{dx}\left[ \int_{-1}^x f(t)\, dt\right]\end{aligned}\)
By the Fundamental Theorem of Calculus:
\(\displaystyle \begin{aligned} g'(x) & = f'(x) \\ \\ g'(4) & = f'(4) \\ \\ & =1 \end{aligned}\)
Note f is a line for 3 < x < 6 with a slope of 1.
Therefore:
\(\displaystyle \begin{aligned} h(x) -g(x_1) & = g'(x_1)(x-x_1) \\ \\ h(x) - \left(-\frac{5}{2}\right) & = (1)(x-(4)) \\ \\ h(x)& = (x-4) - \frac{5}{2} \\ \\ & = x - \frac{13}{2}\end{aligned}\)
In conclusion, the equation of the tangent line is:
\(\displaystyle h(x) = x-\frac{13}{2}\)
Find the present value of an annuity which pays ` 200 at the end of each 3 months for 10 years assuming
money to be worth 5% converted quarterly?
(a) ` 3473.86
(b) ` 3108.60
(c) ` 6265.38
(d) None of thes
The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.
To find the present value of an annuity, we can use the formula:
PV = PMT * (1 - (1 + r)^(-n)) / r
Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.
In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.
Plugging in these values into the formula, we get:
PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05
Simplifying the equation, we find:
PV ≈ 200 * (1 - 0.12198) / 0.05
PV ≈ 200 * 0.87802 / 0.05
PV ≈ 35160.4 / 0.05
PV ≈ 7032.08
Therefore, the present value of the annuity is approximately `7032.08.
None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.
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i got it nevermind!!!! dont need help
The Vales of x in the equations are : 1) 3 (2) 1 (3) 5 (4) 14 (5) 10 respectively
How to solve an equation?A linear equation in one variable is that in which the highest power of its variable is 1
The given equations and their solutions are
2x +1 = 7
By collecting like terms we have
2x = 3
x = 3
2) The given equation is 4x +7 = 11
By collecting like terms we have
4x = 4
Making x the subject we have
x = 1
3) 2x -3 = 7
By collecting like terms we have
2x = 10
Making x the subject we have
x = 5
4) 1/2 x - 3 = 7
By collecting like terms we have
1/2x = 7
x= 14
5) The given equation is 3x - 11 = 19
By collecting like terms we have
3x= 30
Therefore x= 10
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Write an equation in point-slope form of the line that passes through the point (4,−9) and has a slope of 6.
The equation is y−
Answer:
Step-by-step explanation:
Okay, so the point-slope form is
(y - y1) = m(x - x1)
Where m = the slope of the line
and where (x1, y1) is a point on the line
So, if the slope is 6, then m = 6
Now, you plug that and the point (4, -9) into the equation above.
(y -(-9)) = 6(x - 4)
y + 9 = 6(x - 4)
This is the point slope form of the line
a bag contains 7 red chips and 11 blue chips. two chips are selected randomly without replacement from the bag. what is the probability that the two chips are NOT the same coler
Answer:
77/306 or around 25.2%
Step-by-step explanation:
\(\frac{7}{18} *\frac{11}{17}\) section 1/total * section 2/(total-1) since there is no replacement
just solve and you get 77/306
A bakery wants to bag at most 100 cookies into cookie packs. Each cookie pack has 4 cookies. They have already bagged 20 cookies. How many more bags of cookies could they make?
Write an inequality describing the situation and solve. Which inequality below is correct?
They may bake 20 additional bags of cookies. The problem is represented by the inequality x < 80.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Given, A bakery wants to bag at most 100 cookies into cookie packs. Each cookie pack has 4 cookies. They have already bagged 20 cookies.
Since each cookie pack can hold 4 cookies
Thus, 100 cookies will require = 100/4 packs
100 cookies will required = 25 packs
Since They have already bagged 20 cookies.
Thus,
The total pack they used = 20/4
The total pack they used = 5
Inequality:
let "x" be the number of cookies they can make
80 > x
Therefore, 20 more bags of cookies they could make. the inequality that represents the situation is x< 80.
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Baron, Gab, and Oliver can paint a room together in 2 hours, 1f Gab does the job alone. he can paint the same room in 5 hours. If Baron works alone, he can paint the room in hours. If Oliver works alone, how long would it take him to paint the room?
Answer:
11 hours
Step-by-step explanation:
I hope this help!
What is the position of A on the number line below?
Write your answer as a fraction or mixed number.
The position of A on the number line is
What is number line?Number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line.
As seen of the number line above , it is numbered in the sequence, 1,.. 2,...3 and the intervals are indicated.
Between 0 and 1 there are 5 lines, these means that each line will be 4/5
If 1 line is 4/5 , therefore ;
4 lines will be 4 × 4/5
= 16/5 = 3 1/2
Therefore the position of A on the number line is 3 1/2
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Simplify Negative 3 over 2 divided by 9 over 6. −4 −1 4 1
Answer:
Step-by-step explanation: -3/2 divided by 9/6
= -3/2 multiply (to divide fractions we multiply by their recipical) 6/9
Then, simplify
= -3/3 = 1
Answer: -1
Hope this helps lol
The simplified result is -1. The correct option is b.
Given that:
Expression, -3/2 ÷ 9/6
To solve the given expression, follow as:
Rewrite the division as multiplication by the reciprocal of the second fraction.
-3/2 ÷ 9/6 = -3/2 × (6/9)
Now, simplify the fractions:
-3/2 × (6/9) = -3/2 × (2/3)
-3/2 × (6/9) = - (3 × 2)/(2 × 3)
-3/2 × (6/9) = -6/6
Finally, the simplified expression is -6/6. However, further simplify it by dividing the numerator and denominator by their greatest common divisor, which is 6:
-6/6 = -1
So, the simplified result is -1. The correct option is b.
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Complete question:
Simplify Negative 3 over 2 divided by 9 over 6.
a. −4
b. −1
c. 4
d. 1
Fill in the blank with never, sometimes, or always.
The expressions
\( \sqrt{ {x}^{2} } \)
and
\(x\)
are ________ equal.
Help Plis.........................
Answer: Herba has a greater balance and Nour has more debt.
Step-by-step explanation: Herba's account balance is a positive number and is clearly greater than Nour's account balance; therefore, Herba has a much greater balance. On the other hand, Nour's account balance is a negative number and is clearly less than Herba's; therefore, Hour is in more debt since he has to pay back the money that he borrowed.
59. Solve the equation.
--3r - 4(r + 2) = 11
Answer:
r = -19/7
Step-by-step explanation:
-3r - 4r - 8 = 11
-7r - 8 = 11
-7r= 11 +8
-7r = 19
Ricky is testing soil for a contaminant at a building site,
He'll take action to stop construction if there's strong
evidence that the soil has more than 400 parts per
million (ppm) of the contaminant. He plans on using soil
from n = 30 randomly selected locations at the building
site. His hypotheses are H, :p < 400 ppm and
H:u > 400 ppm, where u is the mean amount of the
contaminant in the soil at this site,
Suppose that in reality, H, is actually true,
Which situation below would result in the lowest
probability of a Type Il error?
The scenario that will bring about a type II error will be when the true mean is 405 ppm and he uses a significance level of 0.15
What is a type II error?It should be noted that a type II error simply describes the error that occurs when the individual fails to reject a null hypothesis.
From the complete question, type II error will be when the true mean is 405 ppm and he uses a significance level of 0.15. In this case, the null hyothesis was not rejected.
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Answer:
Step-by-step explanation:
Pls answer this question thank you i will give u brainliest
Stocks tend to make better short-term investments, while bonds tend to make better long-term investments. true or false
Answer:
hasn't done nothing but I think it is matrix
Can i pleaseee get help:(
Answer:
Step-by-step explanation:
P=5/25=1/5=0.20
Answer: 0.05 or 5% chance that a randomly selected student is a senior that works.
Step-by-step explanation: Simply just count up the total amount of students (which ends up being 100), and compare it to the amount of seniors that work. Then, divide the number of seniors that work by the total amount of students, like so: \(5/100\). That gives you 0.05 or 5%.
Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west at 18 mi/h. At what rate (in mi/h) is the distance between the cars increasing four hours later?
mi/h
The rate at which the distance between the two cars increased four hours later is 30 mi/h.
How to determine the rate?First of all, we would determine the distances travelled by each of the cars. The distance travelled by the first car after four (4) hours is given by:
Distance, x = speed/time
Distance, x = 24/4
Distance, x = 6 miles.
For the second car, we have:
Distance, y = speed/time
Distance, y = 18/4
Distance, y = 4.5 miles.
After four (4) hours, the total distance travelled by the two (2) cars is given by this mathematical expression (Pythagorean theorem):
z² = x² + y²
Substituting the parameters into the mathematical expression, we have;
z² = 6² + 4.5²
z² = 36 + 20.25
z² = 56.25
z = 7.5 miles.
Next, we would differentiate both sides of the mathematical expression (Pythagorean theorem) with respect to time, we have:
2z(dz/dt) = 2x(dx/dt) + 2y(dy/dt)
Therefore, the rate of change of speed (dz/dt) between the two (2) cars is given by:
dz/dt = [x(dx/dt) + y(dy/dt)]/z
dz/dt = [6(24) + 4.5(18)]/7.5
dz/dt = [144 + 81]/7.5
dz/dt = 225/7.5
dz/dt = 30 mi/h.
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Answer:
30 mi / hr
Step-by-step explanation:
First find out how far the cars are apart after 4 hours
24 * 4 = 96 mi = y
18 * 4 = 72 mi = x
Now use the pythagorean theorem
s^2 = ( x^2 + y^2 ) shows s = 120 miles apart at 4 hours
Now s^2 = x^2 + y^2 Differentiate with respect to time ( d / dt )
2 s ds/dt = 2x dx/ dt + 2y dy / dt
ds/dt = (x dx/dt + y dy/dt)/s
= (72(18) + 96(24)) / 120
ds/dt = 30 mi/hr