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svlad2 [7]
2 years ago
15

Louie is trying to find a rectangular canvas for his art project. its width must measure 20 inches and form a 35° angle with the

diagonal of the canvas. what is the height of the canvas? round your answer to the nearest tenth.
Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
8 0

The height of the canvas according to tangent is 14 inches.

According to the statement

we have given that the a rectangular canvas for his art project. its width must measure 20 inches and form a 35° angle with the diagonal of the canvas.

And we have to find the height of the canvas.

So, For this purpose,

The given information is:

The 35⁰ angle is part of a right triangle with a side of 20 inches.  The tangent of this angle (35⁰) is equal to the opposite side, x, over the adjacent side (20 inches).

Tan (35⁰) = x/20

0.7002 = x/20

x = 14.004 inches.

For more understanding of the statement please see the image below.

So, The height of the canvas according to tangent is 14 inches.

Learn more about tangent here

brainly.com/question/17040970

#SPJ4

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A superhero is trying to leap over a tall building. The function f(x)=-16x^2+200x gives the superhero's height in feet as a func
Gemiola [76]

Answer:

Since \bigtriangleup \geq 0, the superhero makes it over the building.

Step-by-step explanation:

The height is given by the following function:

f(x) = -16x^{2} + 200x

Will the superhero make it over the building?

We have to find if there is values of x for which f(x) = 612.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

If \bigtriangleup < 0, the polynomial has no solutions.

In this question:

f(x) = -16x^{2} + 200x

-16x^{2} + 200x = 612

16x^{2} - 200x + 612 = 0

We have to find \bigtriangleup

We have that a = 16, b = -200, c = 612. So

\bigtriangleup = (-200)^{2} - 4*16*612 = 832

Since \bigtriangleup \geq 0, the superhero makes it over the building.

7 0
3 years ago
Please help will give brainliest it’s for a test<br><br> Round 29.20 to 30 <br> Show work please
djverab [1.8K]

Answer:

you cant round that to 30

Step-by-step explanation

29.20

29.2 2 is less than 5

so you cant round you can only round if the .tens place is 5 or more

4 0
3 years ago
A gardening club has 36 members,of which 29 are males and the rest are females.What is the ratio of females to males?
Jlenok [28]
7:29
i found the answer by doing 29 minus 36 and the answer is how many females are on the gardening club
6 0
3 years ago
Andrea's living room floor is a rectangle 12 feet by 15 feet. She wants to buy a rug that is geometrically similar to her living
Sliva [168]

Answer:

180 square feet

Step-by-step explanation:

A rug that is geometrically similar to her room floor is one that has the same size as her room floor.

The floor has dimensions 12 feet by 15 feet.

The area of the floor and hence, the rug is:

A = 12 * 15 = 180 square feet

She should buy a rug that is 180 square feet

7 0
3 years ago
Hyun Woo is riding a ferris wheel. H t H(t) models his height (in m m) above the ground, t t seconds after the ride starts. Here
worty [1.4K]

Answer:

<u></u>

  • <u>53 seconds.</u>

Explanation:

The text and the model are garbled.

This is the question amended:

<em />

<em>Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.</em>

<em>H(t) = -10 cos(2π/150 t)+10</em>

<em />

<em>When does Hyun Woo first reach a height of 16 m?</em>

<em />

<h2>Solution</h2>

<em />

When <em>Hyun Woo reaches a height of 16 m</em> the <em>model </em>states:

  • <em>16 = -10 cos(2π/150 t)+10</em>

<em />

Then you must find the lowest positive value of t that is a solution of the equation.

Solve the equation:

  • <em>16 = -10 cos(2π/150 t)+10</em>

  • 10cos(2π/150 t) = - 6

  • cos(2π/150t) = -0.6

  • 2π/150t = arccos(-0.6)

  • 2π/150t = 2.214297

  • t = 52.86s ≈ 53 s ← answer
4 0
3 years ago
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