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malfutka [58]
3 years ago
11

Megan is trying to break the school's long jump

Mathematics
1 answer:
ra1l [238]3 years ago
6 0
Ugh ok it’s 5cm for the long jump angle
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If a car has tires with a diameter of 28 inches and is traveling at 55 mph, how fast are its tires spinning, in rpm^ prime s (re
Aleksandr-060686 [28]

Answer:

The tires are spinning at 660.49 revolutions per minute.

Step-by-step explanation:

The speed of the tires (v) is the same that the speed of the car, so to find the angular velocity of the tires we need to use the equation:

\omega = \frac{v}{r}

Where:

r: is the radius of the tires = d/2 = 28 inches/2 = 14 inches

\omega = \frac{55 mph}{14 inches*\frac{1 mile}{63360 inches}} = 2.49 \cdot 10^{5} \frac{rad}{h}*\frac{1 h}{60 min}*\frac{1 rev}{2\pi rad} = 660.49 rpm              

Therefore, the tires are spinning at 660.49 revolutions per minute.

   

I hope it helps you!          

5 0
3 years ago
What is the sum of the interior angles of the polygon shown below
DanielleElmas [232]

Answer:

720 degrees.

Step-by-step explanation:

The sum of the interior angles of a convex polygon with  n  sides is

180(n - 2)  degrees.

In this case,  n = 6 sides, so the angle sum is

180(6 - 2) = 180(4) = 720 degrees.

The reason this works is that if you draw a diagonal from one vertex to the others (see attached image), you get 2 fewer triangles than the number of sides.  Each triangle contains a total of 180 degrees, so the total of all the interior angles is 180(n - 2).

7 0
2 years ago
Help will mark as brainliest
inysia [295]
I think it’s -1 please mark brainly
7 0
3 years ago
Solve for x on the interval [0, 2pi]<br> Sinx = cosx + 1
lisov135 [29]

Answer:

π

Step-by-step explanation:

Solve for x on the interval [0, 2pi]

Given the equation

Sinx = cosx + 1

Square both sides of the equation

Sin²x = (cos x + 1)²

Sin²x = cos²x + 2cos x + 1

Since Sin²x = 1 - cos²x

1 - cos²x = cos²x + 2cos x + 1

Collect like terms

1-1-cos²x-cos²x-2cos x  = 0

-2cos²x-2cos x = 0

-2cos²x = 2cos x

-cosx = 1

cos x = -1

x = arccos -1

x = 180 degrees

<em>Hence the value of x = π</em>

8 0
3 years ago
Find the area of a rectangle with length (x- 3) and <br> width (x + 5).
Anarel [89]

Answer:

x^2+2x-15

Step-by-step explanation:

A=L*W

A=(x-3)(x+5)

A=x^2+5x-3x-15

A=x^2+2x-15

hope this helps ya!

can i get brainliest please?

7 0
3 years ago
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