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Len [333]
3 years ago
8

PLEASE ANSWER!!! You are helping wish some repairs at home. you drop a hammer and it hits the floor at a speed of 12 feet per se

cond. If the acceleration due to gravity (g) is 32 feet/second², how far above the ground (h) was the hammer when you dropped it? Use the formula: v=√2gh A. 2.25 feet B. 18.0 feet C. 8.5 feet D. 1.0 foot
Mathematics
1 answer:
Andru [333]3 years ago
8 0

Answer:

h = 2.25 m

Step-by-step explanation:

<u><em>Given:</em></u>

Speed = v = 12 ft/sec

Acceleration due to gravity = g = 32 ft/sec²

<u><em>Required:</em></u>

Height = h = ?

<u><em>Formula:</em></u>

v = \sqrt{2gh}

<u><em>Solution:</em></u>

For h, the formula will be:

=> h = \frac{v^2}{2g}

=> h = \frac{(12)^2}{2(32)}

=> h = \frac{144}{64}

=> h = 2.25 m

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Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter
mezya [45]

Answer:

Dimensions: A=a\cdot b=256

Perimiter: P=2a+2b

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

A=a\cdot b=256

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

b=\frac{256}{a}

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We can express the diameter as:

P=2a+2b=2a+2*\frac{256}{a}

To optimize we can derive the function and equal to zero.

dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16

The minimum perimiter happens when both sides are of size 16 (a square).

4 0
3 years ago
you deposit 100$ each month into an account earning 8% interest compounded monthly. How much will you have in the account in 15
pickupchik [31]
Use the exponential function of f(x)= 100x times (1.08)^2
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3 years ago
A gym has three trainers, Aldo, Bertha, and Coco, who each have 1/3 of the new members. A person who trains with Aldo has a 60%
GarryVolchara [31]

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1/10

Step-by-step explanation:

P(a successful member

had Bertha as her trainer)  = P(Bertha being you trainer) x P(being successful if

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3 years ago
Brainliest to who answers first!
alexdok [17]

Answer:

correct answers

15 m=1,500

117 mm=0.117 m

79 m=0.079 km

hope it helps

5 0
2 years ago
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