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lyudmila [28]
3 years ago
5

In ΔEFG, the measure of ∠G=90°, GE = 32 feet, and EF = 41 feet. Find the measure of ∠E to the nearest tenth of a degree.

Mathematics
2 answers:
USPshnik [31]3 years ago
7 0

Answer:

m∠E = 38.7°

Step-by-step explanation:

If you make a drawing it will help.  What you have is a right triangle where you are given the adjacent side to ∠E and the hypotenuse.

The cosine of a angle = adjacent side/hypotenuse.

Therefore cos E = 32/41

arccos (32/41) = 38.7°

Sladkaya [172]3 years ago
4 0

Answer:

The answer is 38.7

Step-by-step explanation:

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What is the relationship between fluid oneces and capacity
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3 years ago
The table represents the function f(x).
Irina18 [472]

Step 1

<u>Find the slope of the function f(x)</u>

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

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A(-6,0)\\B(0,4)

substitute

m=\frac{4-0}{0+6}

m=\frac{4}{6}

m=\frac{2}{3}

Step 2

<u>Find the y-intercept of the function f(x)</u>

The y-intercept is the value of the function when the value of x is equal to zero

in this problem the y-intercept of the function is the point B(0,4)

so

the y-intercept is equal to 4

Step 3

Verify each case  

we know that

the equation of the line into slope-intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

<u>case A) </u>f(t)=t+4

In this case we have

m=1\\y-intercept=4

therefore

the function of case A) does not have the same slope as the function f(x)

<u>case B) </u>f(t)=t-6

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m=1\\y-intercept=-6

therefore

the function of case B) does not have the same slope and y-intercept as the function f(x)

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m=\frac{2}{3}\\y-intercept=4

therefore

the function of case C) does have the same slope and y-intercept as the function f(x)

<u>case D) </u>f(t)=\frac{2}{3}t+6

In this case we have

m=\frac{2}{3}\\y-intercept=6

therefore

the function of case D) does not have the same  y-intercept as the function f(x)

therefore

<u>the answer is</u>

f(t)=\frac{2}{3}t+4

4 0
3 years ago
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