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2 years ago

A rectangular prism has a volume of 96ft3. The area of the base is 24ft2. What is thw height of the prism? answer soon please

Mathematics

1 answer:

kvv77 [185]2 years ago

5 0

96/24=4
The height is 4ft.

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Alchen [17]

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2 years ago

Questions (no partial grades if you don't show your work) 1. In a group of 6 boys and 4 girls, four children are to be selected.

mariarad [96]

Answer:

Total number of ways will be 209

Step-by-step explanation:

There are 6 boys and 4 girls in a group and 4 children are to be selected.

We have to find the number of ways that 4 children can be selected if at least one boy must be in the group of 4.

So the groups can be arranged as

(1 Boy + 3 girls), (2 Boy + 2 girls), (3 Boys + 1 girl), (4 boys)

Now we will find the combinations in which these arrangements can be done.

1 Boy and 3 girls = $^{6}C_{1}\times^{4}C_{3}=6\times4$ =24

2 Boy and 2 girls= $^{6}C_{2}\times^{4}C_{2}=\frac{6!}{4!\times2!}\times\frac{4!}{2!\times2!}=15\times6=90$

3 Boys and 1 girl = $^{6}C_{3}\times^{4}C_{1}=\frac{6!}{4!\times2!}\times\frac{4!}{3!}=\frac{6\times5\times4}{3 \times2} \times4=80$

4 Boys = $^{6}C_{4}=\frac{6!}{4!\times2!} =\frac{6\times 5}{2\times1}=15$

Now total number of ways = 24 + 90 + 80 + 15 = 209

7 0

3 years ago

Please help write the equation of the line.

AfilCa [17]

Answer:

x -2y -2=0

Step-by-step explanation:

using the formula, m= ( Y2 - Y1)/( X2-X1)

the gradient is found. the coordinates chosen are (2,0) and ( 0,-1)

the equation of the line is obtained using the formula

y -y1= m(x -x1)

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2 years ago

What can you add to 4 7/8 to make 8

Andreyy89

Answer:3 and 1/8

Step-by-step explanation:by adding

4 0

3 years ago

Read 2 more answers

Theresa Mitsoto invested $3,500 in a 3-year CD that paid 6.5% annual interest. She cashed out the CD at the end of two years wit

Andre45 [30]

Answer:

$56.875

Step-by-step explanation:

Given that :

Amount invested = principal, p = 3500

Interest rate, r = 6.5% = 0.065

Penalty on withdrawal = 3 month simple interest

Simple interest = principal * rate * time

Time = 3 months = 3/12 = 0.25 years

Hence,

Simple interest = 3500 * 0.065 * 0.25

Simple interest = $56.875

Hence, penalty paid = $56.875

7 0

2 years ago