To convert 4.1 kilometers to meters ,you would use the ratio 1,000meters/1 kilometer

Ip a solid sphere with a diameter of 0.19 m is released from rest; it then rolls without slipping down a ramp, dropping through

lubasha [3.4K]

Answer: K = (1/2) mvÂ˛ + (1/2) IĎ‰Â˛, where m is the ball mass, I is the ball's moment of inertia (2/5)mrÂ˛, and Ď‰ is the angular velocity of the ball. Because the ball rolls without slipping, it is easy to see that v=Ď‰r, or r=v/Ď‰. Then, K = (1/2)mvÂ˛ + (1/2)(2/5)mrÂ˛Ď‰Â˛ = (1/2)mvÂ˛ + (1/5)mvÂ˛ = (7/10)mvÂ˛ Setting potential at the top equal to kinetic at the bottom, mgh=(7/10)mvÂ˛ v=âš{(10/7)(gh)} = [(10/7)(9.8)(0.51)]^(1/2) = 2.672m/s

5 0

3 years ago

The net of a square pyramid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has

Neko [114]

Given:

The dimensions:

Square pyramid

Square base: 2x2

1 out of 4 triangles: 1/2x2x5

4 triangles: 2x2x5

To find:

The SURFACE AREA of the square pyramid

Find answer:

Step 1

Find the area of the square base -

Square base:

SA = L x W

= 2 x 2

= 4

The surface area of the square is 4 square inches

Step 2

Find the area of the 4 Triangles:

We will use a different formula here, to find 1 triangle, we will have to do:

$SA = \frac{1}{2} *B*H$

To find 2 triangles, we will do:

$SA = B*H$

But to find 4 triangles in just 1 step, we will do:

$SA=2*B*H$

Let's do it!

$SA = 2*2*5\\=2*10\\=20$

The surface area of the 4 triangles are 20 square inches

Step 3

Add answers to get FINAL ANSWER

Easy!

20+4=24

<h2>Hence, the Surface Area of the Square Pyramid is 24 square inches</h2>

4 0

2 years ago

How do I solve 6a + 5a = −11

SashulF [63]

Answer:

a = - 1

Step-by-step explanation:

Step 1:

6a + 5a = - 11 Equation

Step 2:

11a = - 11 Combine Like Terms

Step 3:

a = - 11 ÷ 11 Divide

Answer:

a = - 1

Hope This Helps :)

5 0

3 years ago

Read 2 more answers

A recipe calls for 8 ounces of fruit juice for every 32 ounces of soda. How much soda should you use if you use 16 ounces of fru

makkiz [27]

Answer:

64 ounces of soda

Step-by-step explanation:

for every 8 ounces you need 32 ounces of soda and 16 would be two servings of fruit juice so I multiplied 32 by 2 and got 64

8 0

2 years ago

Find the slope-intercept form of the

3241004551 [841]

Parallel lines have the same slope.
So I plug in the -5 and -4
-4 = 1/2(-5) + b
-4 = -2.5 + b
b = -1.5

So I get y = 1/2x - 3/2

3 0

3 years ago