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3 years ago

3 What force is needed to accelerate a 0.5-kg football at a rate of 40 m/s 2?

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

7 0

Answer:

20N

Step-by-step explanation:

F = ma
F = 0.5 x 40
F = 20N

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Alice Hall, who loves to cook, makes an apple cake (serves six) for her family. The recipe calls for 2 1/2 pounds of apples, 2 1

grandymaker [24]

2 1/2 pounds of apple makes serve 6
(2 1/2 x 24)/6 = 10 pounds of apple will make serve 24.

Therefore, she will use 10 pounds of apples.

8 0

3 years ago

In a triangle ABC, measure of angle B is 90 degrees. AB is 3x-2 units and BC is x+3. If the area of the triangle is 17 sq cm, fo

Scorpion4ik [409]

Answer:

$x=\frac{8}{3}\ cm$

Step-by-step explanation:

we know that

The area of the right triangle ABC is equal to

$A=\frac{1}{2}(AB)(BC)$

we have

$A=17\ cm^2$

$AB=(3x-2)\ cm$

$BC=(x+3)\ cm$

substitute the values

$17=\frac{1}{2}(3x-2)(x+3)$

$34=(3x-2)(x+3)$

$34=3x^2+9x-2x-6$

$3x^2+7x-6-34=0$

$3x^2+7x-40=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$3x^2+7x-40=0$

$a=3\\b=7\\c=-40$

substitute in the formula

$x=\frac{-7(+/-)\sqrt{7^{2}-4(3)(-40)}} {2(3)}$

$x=\frac{-7(+/-)\sqrt{529}} {6}$

$x=\frac{-7(+/-)23} {6}$

$x=\frac{-7(+)23} {6}=\frac{16}{6}=\frac{8}{3}$

$x=\frac{-7(-)23} {6}=-5$

therefore

The solution is

$x=\frac{8}{3}\ cm$

6 0

3 years ago

What is the difference between 3/7 and 1/14?

Elena-2011 [213]

C. 5/15
First, change 3/7 to have the same denominator as 1/14.
3/7=6/14 because 7•2=14 (denominator) 3•2=6 (numerator)
Next, subtract 1/14 from 6/14.
6/14-1/14=5/14

3 0

2 years ago

Suppose that an individual has a body fat percentage of 18.8% and weighs 131 pounds. how many pounds of her weight is made up of

balu736 [363]

X weight 131
---- = -------------
18.8% 100%

Cross multiply and get 24.6 pounds

4 0

3 years ago

Read 2 more answers

Kristin earns $6.50 for every hour she babysits for the Overstreet family. (Part A:) Last Friday, Kristin babysat for 4.5 hours.

bonufazy [111]

Answer:

The question seems not to be complete, below is a possible complete question:

Kristin earns $6.50 for every hour she babysits for the Overstreet family. Part A: Last Friday, Kristin babysat for 4.5 hours. How much money did she make during that job? $__________ Part B: Mrs. Overstreet has told Kristin that she will pay her $45.50 for tomorrow's babysitting job. How many hours will Kristin babysit then? __________ hours

Answers:

Part A: She makes $29.25

Part B: She babysat for 7 hours

Step-by-step explanation:

Part A:

amount earned per hour = $6.50

Number of hours worked = 4.5 hours

1 hour = $6.50

∴ 4.5 hours = 6.50 × 4.5 = $29.25

part B:

total amount to be earned = $45.50

earning rate = $6.50 per hour

$\$6.50 = 1\ hour\\\$1 = \frac{1}{6.50}\ hour\\\therefore \$45.50 = 45.50 \times\frac{1}{6.50} \\= \frac{45.50}{6.50}\\ = 7\ hours$

7 0

3 years ago