All categories

3 years ago

Using a trigonometric ratio to find an angle measure of a right triangle‼️ round to the nearest 10‼️

Mathematics

1 answer:

Verizon [17]3 years ago

5 0

To find the angle x, you are given the triangle side lengths that are opposite and adjacent to the angle. The opposite side is 49 units long. The adjacent side is 24 units long. The trigonometric function that corresponds to the opposite and adjacent legs is tangent.

to find x: $tanx=\frac{49}{24}$

to find an angle using a trigonometric function we must use the inverse function.

$arctan(\frac{49}{24} )=63.90457584$

The angle x, to the nearest tenth of a degree is 63.9 degrees.

You might be interested in

Brainliest is given to the correct answer!

OlgaM077 [116]

Answer:

a. $p = 2\pi r + 8r$

b. $r = \frac{p}{2\pi + 8}$

Step-by-step explanation:

a. Radius of semicircle (r) = r

Diameter of semicircle (d) = 2r

Length of rectangle (l) = 2*diameter of semicircle = 2*2r = 4r

Distance around the track (p) = circumference of circle + 2(l)

Note: the two semicircles of the track = 1 full circle

Circumference of full circle = πd = π*2r = 2πr

Distance around the track:

p = 2πr + 2(4r)

p = 2πr + 8r

b. Rewriting the formula to make radius, r, the subject of the formula in terms of distance around the track.

$p = 2\pi r + 8r$

Factor out r

$p = r(2\pi + 8)$

Divide both sides by (2π + 8)

$\frac{p}{2\pi + 8} = \frac{r(2\pi + 8)}{2\pi + 8}$

$\frac{p}{2\pi + 8} = r$

$r = \frac{p}{2\pi + 8}$

6 0

3 years ago

Marianna went running and had 16 of a bottle of water left when she stopped to rest. She went to a water fountain and filled it

vovikov84 [41]

Answer:

7/100

Step-by-step explanation:

16/100 to 23/100

23-16 = 7

7/100 added

4 0

3 years ago

Find the surface area of each prism

goldfiish [28.3K]

Answer:

Step-by-step explanation:

Surface area = ( 6 *10 ) *3 + ( ( 7*4.87) /2)*2 = 180 + 34.09 = 214.09

Surface area = (5*10) *3 + (( 7*4.2)/2)*2 = 150 +29.4 = 179.4

6 0

3 years ago

11. John puts a fence around his rectangular backyard. The width of his backyard is 10 feet. He

Lady_Fox [76]

Length = 20 ft

If he uses 60 ft of fencing to line his rectangular backyard, then the perimeter is 60 ft.

Perimeter formula is ((Width × 2) + (Length × 2))

10 × 2 = 20

20 × 2 = 40

40 + 20 = 60

4 0

2 years ago

Use what you've learned in this unit to model the population of Western

azamat

The population function of the Western Lowland Gorillas can either represent population growth or population decay

<h3>How to model the population</h3>

The question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.

So, I will give a general explanation to solve the question

A population function can be represented as:

$y = a(1 \pm r)^x$

Where:

The initial population of the Western Lowland Gorillas is represented by (a)
The rate at which the population changes is represented by (r)
The number of years since 2022 is represented by (x)
The population in x years is represented by (y)

From the question, we understand that the population of the Western Lowland Gorillas decreases.

This means that the rate of the function would be an exponential decay i.e. 1 -r

Take for instance:

$y = 2000 * 0.98^x$

By comparison.

a = 2000 and 1 - r = 0.98

The above function can be used to model the population of the Western Lowland Gorillas

Read more about exponential functions at:

brainly.com/question/26829092

4 0

2 years ago