Find the perimeter.<br> 3x2 – 4<br> 5x - 1<br> 4x + 2<br> 2x2 + 9

Two angles are complementary. One angle measures 32 degrees more than the other angle. Find the measure of the LARGER angle

Goshia [24]

$\begin{array}{l}\text{We\ have\ } \alpha +\beta =90\ \text{and} \ \beta =\alpha +32\text{\ then}\\\\\alpha +\alpha +32=90\\\\\Longrightarrow 2\alpha =90-32\\\\\Longrightarrow \alpha =\frac{58}{2} =29\\\\\therefore \beta =29+32=61\\\\\therefore \boxed{\text{The\ larger\ angle\ is\ 61\ degrees}}\end{array}$

5 0

3 years ago

The mean of a data set is equal to 10 and its standard deviation is equal to 1. If we add 5 to each data value, then the mean an

andrey2020 [161]

Let
S = sum of the data values
n = number of data values

The mean M is equal to
M = S/n
since you add up the values and divide by n. We don't need to know what S or n are.

If we add 5 to each data value, then we're adding on n copies of 5, or 5n

The new mean N is

N = (S+5n)/(n)
N = (S/n) + (5n/n)
N = M + 5

The new mean is a result of taking the old mean M and adding on 5

So,
N = M+5
N = 10+5
N = 15

The standard deviation will remain the same because each data value hasn't moved in relation to one another. Every data value has been shifted up the same amount. For instance if A and B are two points in this data set, then A+5 and B+5 will be the same distance away. Apply this logic to any number of data values. While standard deviation isn't that simple, it still has a loose connection to "distance" of the values, or how spread out they are.

So that's why the final answer is choice C)

5 0

3 years ago

A ladder leans against the side of a house. The angle of elevation of the ladder is 65° when the bottom of the ladder is 12 ft f

agasfer [191]

Answer:

28.4 ft.

Step-by-step explanation:

cos 65 = 12 / L

L = 12 / cos 65

= 28.4 ft

5 0

3 years ago

Please help me with this

Dennis_Churaev [7]

Prob ( guessing right) = 0.25 . Get 1 point.

Prob( guessing wrong) = 0.75. Lose 0.5 points.

Expected value = 1(0.25) + (-0.5)(0.75)

= -0.125 answer

4 0

3 years ago

Read 2 more answers

SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST

valentina_108 [34]

For this question you need to look at what is the greates power of the exponents is oresent for each variable and what factor js the greatest for the leading coefficients.

For the leading coefficients, 5 would be the greatest because it is a number that can be multiplied by another to get both leading coefficients. Also. no other number higher than that would work.

For the x variable, x^3 would be the greatest power in common, so it is the one that will be removed.

Finally, for the y variable y^2 would be the greatest power in common, so it would be the one that is removed.

This gives you a final answer for your greatest common factor of:
$5 {x}^{3} {y}^{2}$
I hope this helps!

8 0

4 years ago

Find the perimeter. 3x2 – 4 5x - 1 4x + 2 2x2 + 9