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nadezda [96]
3 years ago
11

You are building a ramp that must cover a horizontal distance of exactly 17 feet. The angle of the ramp from the ground is 24°.

Determine the length of the ramp, in feet.
Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0

Answer:

Length of the ramp = 18.6 feet (Approx.)

Step-by-step explanation:

Given:

Horizontal distance (base distance) = 17 feet

Angle of elevation = 24°

Find:

Length of the ramp

Computation:

Cosθ = Length of base / Length of hypotenuse

Cos 24 = Horizontal distance (base distance) / Length of the ramp

Cos 24 = 17 / Length of the ramp

0.9135 = 17 / Length of the ramp

Length of the ramp = 17 / 0.9135

Length of the ramp = 18.6 feet (Approx.)

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Paolo is using his grandmother’s cookie recipe. He always doubles the amount of chocolate chips and oats. The recipe calls for 2
nalin [4]

<u>Answer:</u>

y = 94.5 cups

<u>Step-by-step explanation:</u>

Let's say:

  • y = oats
  • x = chocolate chips = 212

=> Full Recipe = 212 + y

=> 2(Full Recipe) = 2(212 + y) = 613 cups

=> 2(Full Recipe) = 424 + 2y = 613 cups

=> 2y = 613 - 424

=> 2y = 189

=> y = 94.5

Therefore, the required oats to do double the recipe is 94.5 cups.

Hoped this helped.

GeniusUser

8 0
2 years ago
Does anyone know how to find the side length of this square.if so then, i will mark brainlist.
kvv77 [185]
Hello!

To find the side length you use the equation

a =  \sqrt{2}  \frac{d}{2}

a is side length
d is diagonal

Put in the number we know

a =  \sqrt{2} *  \frac{27}{2}

Divide

a =  \sqrt{2} * 13.5

Multiply

a = 19.091

The answer is 19.09

Hope this helps!
8 0
3 years ago
Triangles triangle ABC and triangle DEF are similar. Find the angles of these triangles if Mesurements of angle A=100 degrees, a
beks73 [17]

Answer:

<D = 100

<E =30

<F =50

Step-by-step explanation

Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e

<A = <D

<B = <E

<C = <F

Given

<A = 100 then <D = 100

<B = 30°, then <E = 30°

To get <F, we will use the expression

<D+<E+<F = 180 (sum of angles in a triangle is 180°)

100+30+<F = 180

130+<F = 180

<F = 180-130

<F = 50°

Hence the measure of <F is 50°

3 0
2 years ago
The table shows the battery life of four different mobile phones:
tekilochka [14]
Answer: Phone C

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If you want to compute out the four results with a calculator, then it would look like this:
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0.0845*25 = 2.1125
0.0845*10 = 0.845
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and this shows that no other result (but choice C) is close to 0.8

So that's why the answer is choice C
5 0
3 years ago
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Is the dilatation an enlargement or a reduction
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Enlargement of 2. 

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5 0
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