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OlgaM077 [116]
3 years ago
8

The following formula relates three quantities: Force (F), mass (m), and acceleration (a).

Mathematics
1 answer:
Pie3 years ago
4 0

(a) F=ma       

      a=F/m

 (b) a=25/10

      a=2.5

    2.5*10=25

(c)  m= 25/5

      m=5

    5*5=25

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You are designing a container in the shape of a cylinder. the the radius is six inches. you want the container to hold at least
scoray [572]

We have radius r= 6 inches and volume V≥ 324 pi inches∧3 we need H=?

We will use next formula to calculate height.

V= B * H = r∧2 pi * H

r∧2 pi * H ≥ 324 pi => 6∧2 pi * H ≥ 324 pi => 36 pi * H ≥ 324 pi

We will divide the both sides of the inequality with pi and get

36 * H ≥ 324 => H ≥ 324/36 => H ≥ 9 inches

Good luck!!!

3 0
3 years ago
Given the sequence tn defined recursively below, find t4.
Alina [70]

Answer:

t_4 = 20

Step-by-step explanation:

The base case in the recursive function are:

t_1 = 1

t_2 = 2

The recursive case is equal to:

t_n = 2t_{n-1} + 3t_{n-2}

So replace t_n for t_4:

t_4 = 2t_{3} + 3t_{2}

In the new expression t_2 is a base case so you don't have to worry for that part, but t_3 is still the recursive case so evaluate again in t_n

t_3 = 2t_{2} + 3t_{1}

t_2 and t_1\\ are define as base cases so you replace for it's numbers:

t_3 = 2(2) + 3(1) = 7

Now return to t_4 and replace for the new values:

t_4 = 2(7) + 3(2) = 14 + 6 = 20

So the final answer is 20

3 0
3 years ago
Not only would I like the value of x, but also I wonder how I’d go about solving this problem?
notsponge [240]

Answer:

x = 58

Step-by-step explanation:

This question can be solved by using the exterior angle property, which states that the exterior angle of a triangle = the sum of the two opposite interior angles.

62 lies on a line, so the exterior angle is 180 - 62, or 118 degrees.

Using the EAP, we can conclude the following:

(x + 2) + (x) = 118

2x + 2 = 118

2x = 116

x = 58

Hope this helps

4 0
2 years ago
Read 2 more answers
A box contains 12 tiles.each tile is shaped like a parallelogram. Each tile has a base of 9 inches and a height of 5 inches. Wha
Zarrin [17]
Hello!

The area of a parallelogram is A=bh. 

A=9(5)=45

Each tile has an area of 45. Now we multiply by 12 to get the total.

45(12)=540

The total area of all the tiles is 540 in.²

I hope this helps!
4 0
3 years ago
What number must be added to the expression below to complete the square?
igomit [66]
When Completing the square you take the 'b' term and divide it by 2, then square it.
3/2, (3/2)^2 = 9/4
Letter C
4 0
4 years ago
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