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3 years ago

14

Find the size of the final unknown exterior angle in a polygon whose

1 answer:

Bogdan [553]3 years ago

4 0

Answer:

72

Step-by-step explanation:

The sum of exterior angles is 360

360-57-68-32-59-72 =. 72

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From the diagram below, if the tree is 34 ft. tall, and the angle of elevation from point B to the top of the tree is 26 °, find

lana66690 [7]

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

<h3>What is the distance between the tree and point B?</h3>

Given the data in the question;

Height of tree opposite angle of elevation = 34ft
Angle of elevation θ = 26°
Distance between tree and point B| Adjacent = ?

Since the scenario form a right angle triangle, we use trig ratio.

tanθ = Opposite / Adjacent

tan( 26° ) = 34ft / x

We solve for x
x = 34ft / tan( 26° )

x = 34ft / 0.4877

x = 70ft

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

Learn more about trigonometric ratio here: brainly.com/question/28038732

#SPJ1

3 0

1 year ago

On a test, 74% of the questions are answered correctly. If 111 questions are correct, how many questions are on the test?

Mashcka [7]

Answer:

150

Step-by-step explanation:

You have to divide the correct answers (111) by the total amount of questions (x) in order to find the 74% (0.74)

5 0

3 years ago

Read 2 more answers

simplify 5ab+9a-ab-7a and justify each step as associative , distributive, commutative, or additive property.

Vladimir [108]

Answer:

5ab-ab+9a-7a

ab(5-1)+a(9-7)

4ab+2a

a(4b+2)

7 0

3 years ago

Studentka2010 [4]

Answer:

The area of the shaded portion of the figure is $9.1\ cm^2$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The shaded area is equal to the area of the square less the area not shaded.

There are 4 "not shaded" regions.

step 1

Find the area of square ABCD

The area of square is equal to

$A=b^2$

where

b is the length side of the square

we have

$b=4\ cm$

substitute

$A=4^2=16\ cm^2$

step 2

We can find the area of 2 "not shaded" regions by calculating the area of the square less two semi-circles (one circle):

The area of circle is equal to

$A=\pi r^{2}$

The diameter of the circle is equal to the length side of the square

so

$r=\frac{b}{2}=\frac{4}{2}=2\ cm$ ---> radius is half the diameter

substitute

$A=\pi (2)^{2}$

$A=4\pi\ cm^2$

Therefore, the area of 2 "not-shaded" regions is:

$A=(16-4\pi) \ cm^2$

and the area of 4 "not-shaded" regions is:

$A=2(16-4\pi)=(32-8\pi)\ cm^2$

step 3

Find the area of the shaded region

Remember that the area of the shaded region is the area of the square less 4 "not shaded" regions:

so

$A=16-(32-8\pi)=(8\pi-16)\ cm^2$

---> exact value

assume

$\pi =3.14$

substitute

$A=(8(3.14)-16)=9.1\ cm^2$

8 0

3 years ago

The question is this;

zheka24 [161]

Step-by-step explanation:

X is 24

8 0

2 years ago

Read 2 more answers