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Marrrta [24]
3 years ago
12

Morgan's electronic car has a speed of 35.2 feet per second. How fast can the car travel in miles per hour?

Mathematics
1 answer:
ale4655 [162]3 years ago
7 0

Answer:

2112 minutes OR 126720 Seconds

Step-by-step explanation:

35.2 = 1

? = 3600

I hope this helps

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A helicopter is flying above a town. the local high school is directly to the east of the helicopter at a 20° angle of depressio
guapka [62]
Answer: 4.5 miles

Explanation:

When you draw the situation you find two triangles.

1) Triangle to the east of the helicopter

a) elevation angle from the high school to the helicopter = depression angle from the helicopter to the high school = 20°

b) hypotensue = distance between the high school and the helicopter

c) opposite-leg to angle 20° = heigth of the helicopter

d) adyacent leg to the angle 20° = horizontal distance between the high school and the helicopter = x

2) triangle to the west of the helicopter

a) elevation angle from elementary school to the helicopter = depression angle from helicopter to the elementary school = 62°

b)  distance between the helicopter and the elementary school = hypotenuse

c) opposite-leg to angle 62° = height of the helicopter

d) adyacent-leg to angle 62° = horizontal distance between the elementary school and the helicopter = 5 - x

3) tangent ratios

a) triangle with the helicpoter and the high school

tan 20° = Height / x ⇒ height = x tan 20°

b) triangle with the helicopter and the elementary school

tan 62° = Height / (5 - x) ⇒ height = (5 - x) tan 62°

c) equal the height from both triangles:

x tan 20° = (5 - x) tan 62°

x tan 20° = 5 tan 62° - x tan 62°

x tan 20° + x tan 62° = 5 tan 62°

x  (tan 20° + tan 62°) = 5 tan 62°

⇒ x = 5 tant 62° / ( tan 20° + tan 62°)

⇒ x = 4,19 miles

=> height = x tan 20° = 4,19 tan 20° = 1,525 miles

4) Calculate the hypotenuse of this triangle:

hipotenuese ² = x² + height ² = (4.19)² + (1.525)² = 19.88 miles²

hipotenuse = 4.46 miles

Rounded to the nearest tenth = 4.5 miles

That is the distance between the helicopter and the high school.
5 0
3 years ago
Read 2 more answers
The volume of the cube below is 1/8cm^2 . What is the value of x?
Kipish [7]

We are given

edge of cube =x

we know that formula for volume of cube

V=x^3

we are given

V=\frac{1}{8} cm^3

we can plug value

x^3=\frac{1}{8} cm^3

now, we can solve for x

\sqrt[3]{x^3} =\sqrt[3]{\frac{1}{8} cm^3 }

x=\frac{1}{2} cm............Answer

6 0
3 years ago
Read 2 more answers
The triangles below are similar. Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle
rewona [7]

Answer:

The similarity statements that describes the relationship between the two triangles are

Triangle S R P is similar to triangle X Z Y.

Triangle R S P is similar to triangle Z X Y.

Triangle R P S is similar to triangle Z Y X.

Step-by-step explanation:

Given:

Triangles below are similar,

In ΔSRP

∠S = 54 ° , ∠R = 41° , ∠P = 85°

In ΔXYZ

∠X = 54 ° , ∠Z = 41° , ∠Y = 85°

Solution:

If two triangles are similar then their corresponding angles are Equal.

When the two triangles are Similar then their Vertices are correspondence to each other. the correspondence of vertices are as

For, Δ SRP ~ Δ XZY

S ↔ X        ∠S ≅ ∠X = 54°

R ↔ Z        ∠R ≅ ∠Z = 41°

P ↔ Y        ∠P ≅ ∠Y = 85°

The true statement  

Triangle S R P is similar to triangle X Z Y.

Triangle R S P is similar to triangle Z X Y.

Triangle R P S is similar to triangle Z Y X.

  • Triangle P R S is similar to triangle X Y Z,

Not correct it should be

Triangle P R S is similar to triangle Y Z X,

  • Triangle P S R is similar to Triangle Z Y X

Not correct it should be

Triangle P S R is similar to Triangle Y X Z.

  • Triangle S P R is similar to triangle X Z Y

Not correct it should be

Triangle S P R is similar to triangle X Y Z

3 0
3 years ago
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How many minutes have passed between the time shown on the first clock and the time shown on the second clock
Anestetic [448]
If you could show a picture of the clocks I could help you
3 0
3 years ago
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Work out 5 x 5/6.<br> First correct answer will be marked as brainliest. <br> Thanks!
Gennadij [26K]

Answer:

4+1/6

Step-by-step explanation:

5* 5/6 =25/6 = 4 1/6

8 0
2 years ago
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