MATHEMATICS HIGH SCHOOL

The base of a rectangular prism is 20 cm 2 . If the volume of the prism is 100 cm 3 , what is its height?5 cm
10 cm
80 cm
120 cm

Answers

Answer 1
Answer: The correct answer is 5 cm. We can find this by substituting the values we've been given into the formula for the volume of a rectangular prism.

V = lwh   Volume of a rectangular prism
100 = 20h   Substitute. Keep in mind that the base is length times width, so 20 accounts for both variables.
5 = h   Divide both sides by 20

The height of the rectangular prism is 5 cm.

Hope this helps!
Answer 2
Answer:

Answer:

5 CM

Step-by-step explanation:

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Edwin and Anthony are building a rectangular deck in their backyard. The longer side is 2 ft more than 1/3 of the perimeter. The shorter side is 1/10 of the perimeter. They also know that the longer side is 9 ft longer than the shorter side. What is the perimeter of the deck?

Answers

Answer:

30 ft

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Perimeter = x

Length = 1/3x + 2

Width = 1/10x

Length = 9 + 1/10x

Perimeter of the deck = 2(length + width)

x = 2(1/3x + 2 + 1/10x)

x = 2(10x+3x/30 + 2)

x = 2(13/30x + 2)

x = 26/30x + 4

x - 26/30x = 4

30x-26x/30 = 4

4/30x = 4

Divide both sides by 4/30

x = 4 ÷ 4/30

= 4 × 30/4

x = 30 ft

Length = 1/3x + 2

= 1/3(30) + 2

= 30/3 + 2

= 10 + 2

= 12 ft

Width = 1/10x

= 1/10(30)

= 30/10

= 3 ft

Length = 9 + 1/10x

= 9 + 1/10(30)

= 9 + 30/10

= 9 + 3

= 12 ft

The perimeter of the deck = x = 30 ft

PLS HELP ASAP!! THXFor questions 6-9 refer to the box plots (Assume their positions are on the same number line). Write your responses in complete sentences using content specific vocabulary.

Answers

Answer:

Did you find them ?

Step-by-step explanation:

For the function y = -2+5sin(pi/12(x-2)), what is the maximum value?

Answers

To get the function y = -2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))

Equate to zero:
5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8

Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86

Answer:

i got 3

Step-by-step explanation:

a blueprint for a fence has a scale of 1:40. the fence in the blueprint is 6 in. what is the length of the actual fence ?

Answers

240 in or 20 ft; Since the scale is 1:40, Every 1 spot on the scale is equal to 40. So 6 times 40 equals 240 in. or 20 ft 
240 inches / 2 feet is the answer. Check the other answer for an explanation.

A prism with a volume of 360 yd³ is scaled down to a volume of 45 yd³.What is the scale factor?

Enter your answer, as a decimal or a fraction in simplest form, in the box.

Answers

Answer: The scale factor is 0.125.

Step-by-step explanation:

Given: The volume of the prism=360\ yd^3

The scaled volume of the prism=45\ yd^3

We know that when we scaled a shape by a scale factor k, then we multiply k to the dimension of the original shape.

So, to find the scale factor k, we need to the divide the scaled volume  by the volume of prism , we get

k=\frac{\text{scaled volume of the prism}}{\text{volume of the prism}}=(45)/(360)=(1)/(8)=0.125

Hence, the scale factor k = 0.125
45/360 and reduce
45/360 =15/120 = 5/40 = 1/8

The scale factor is 1/8

Reggie and Courtney are picking up trash along the highway. Together they have collected 15 bags of trash.Courtney has collected 3 more bags then Reggie. How many bags have they each collected?

Answers

Bags collected by reggie and Courtney are 6, 9 respectively.

SOLUTION:

Given, Reggie and Courtney are picking up trash along the highway.  

Together they have collected 15 bags of trash.

Courtney has collected 3 more bags then Reggie.  

We have to find how many bags have they each collected?

Let the number bags collected by reggie be n, then number of bags collected by Courtney will be 15 – n.

Now, according to the given information,

Number of bags with Courtney = 3 + number of bags with reggie

15 – n = 3 + n

n + n = 15 – 3

2n = 12

n = 6

so, reggie collected 6 bags, then, Courtney collected 15 – 6 = 9 bags.

Hence, bags collected by reggie and Courtney are 6, 9 respectively
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