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2 years ago

A right triangle has side lengths AC = 7 inches, BC = 24

Mathematics

1 answer:

Nady [450]2 years ago

8 0

Therefore, the measures of the angles in triangle ABC is as follows:

m∠A 73.7°, m∠B = 16.3°, m∠C = 90°

<h3>How to find angles of right triangle?</h3>

The measure of the angles in the right triangle can be found as follows:

Using trigonometric ratios,

sin ∅ = opposite / hypotenuse

sin ∅ = 7 / 25

∅ = sin ⁻¹ 0.28

∅ = 16.2602047083

∅ = 16.3°

Hence,

m∠B = 16.3°

m∠C = 90°

m∠A = 180 - 90 - 16.3 = 73.7°

learn more on right triangle here: brainly.com/question/27899600

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A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee ca

miss Akunina [59]

Answer:

Step-by-step explanation:

Given that a certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office.

The company can assign I employee to any one of 2 office i.e. in 2 ways

Similarly can assign II employee also in 2 ways and III in two ways.

Total no of ways = 2x2x2 = 8

There are 8 ways the company can assign 3 employees to 2 different offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office

6 0

3 years ago

HELP WHAT IS THE ANSWERS

Temka [501]

Answer: Letter Choice, (B) ====> 4,256 pi cm^2

Step-by-step explanation:

Formula: Surface Area of Cylinder = (2pi ) (r^2 ) + 2pi (r) (h)

Showing Work:

Radius of the Base ===> 28cm

Height =====> 48cm 

(2pi ) (r^2) + 2pi (28)(48)

2 (pi) (r^2) + (circumference) (height)

2( pi) (r^2 + 2)( pi)(r)(h)

2 pi * (2) (r^2 + (2)(r)(h)

2pi * (r^2 + rh)

2(r)(pi)(r + h)

2( 28)(pi)(28 + 48)

56(pi)(76)

4256(pi)^2

Therefore, Your Answer ======> Letter Choice; (B) ======> 4,256pi cm^2

Hope that helps!!!!! : )

3 0

3 years ago

Jimmy's backyard is rectangle that is 18 5/6 yards long and 10 2/5 yards wide Jim buy sod in pieces that are 1 1/3 yard long and

g100num [7]

Answer:

111 pieces of soda

Step-by-step explanation:

step 1

Find the area of the rectangular backyard

The area of the rectangular backyard is equal to

$A=LW$

where

$L=18\frac{5}{6}\ yd=\frac{18*6+5}{6}=\frac{113}{6}\ yd$

$W=10\frac{2}{5}\ yd=\frac{10*5+2}{5}=\frac{52}{5}\ yd$

substitute

$A=(\frac{113}{6})(\frac{52}{5})$

$A=\frac{5,876}{30}\ yd^2$

step 2

Find the area of one piece of sod

The area of the rectangular piece of sod is

$A=LW$

where

$L=1\frac{1}{3}\ yd=\frac{1*3+1}{3}=\frac{4}{3}\ yd$

$W=1\frac{1}{3}\ yd=\frac{1*3+1}{3}=\frac{4}{3}\ yd$

substitute

$A=(\frac{4}{3})^2\\\\A=\frac{16}{9}\ yd^2$

step 3

Find the pieces of sod needed

To find out how many whole pieces of sod will Jim need to buy to cover his backyard, divide the area of the backyard by the area of one piece of soda

$\frac{5,876}{30} : \frac{16}{9}=\frac{52,884}{480}=110.175$

Round up

111 pieces of soda

8 0

3 years ago

The measure of angle θ is 7pi/4 . The measure of its reference angle is__ °, and tan θ is__

irga5000 [103]

To get the reference angle, convert the angle measurement to degrees first since it is in radians.

The conversion factor is pi = 180°

So, $\frac{7pi}{4} x \frac{180}{pi}$
$\frac{`1260}{4} = 315$

Since 315° is located in quadrant IV, to get the reference angle, subtract 315° from 360°. Hence, the reference angle is 45°.

Based on the basics of trigonometric functions, Tan (45) = 1.

5 0

4 years ago

Read 2 more answers

What type of function is f(x)=3(1.5)^x

Elis [28]

Its call exponential because of how it looks when you graph it

8 0

3 years ago