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2 years ago

Need help with finding the answer.

Mathematics

2 answers:

djyliett [7]2 years ago

8 0

<h3>Answer: Choice A) 384 cubic cm</h3>

The bottom face is a square with area 12*12 = 144 square cm

Multiply this base area by the height of the pyramid (8 cm) and we end up with 144*8 = 1152

The last thing to do is to divide this by 3 to get the final answer: 1152/3 = 384

-----------

The segments FG = 6 and AG = 10 aren't used at all, though if you wanted the surface area, then you would use AG = 10.

The formula for the volume of a pyramid is

V = (1/3)*B*h

which is equivalent to

V = (B*h)/3

where,

V = volume, B = area of base, h = height of pyramid

AleksandrR [38]2 years ago

5 0

Answer:

96 cm3

Dont pay attention to this it says i need 20 characters sorry:)

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Find the volume of a cylinder with a diameter of 10 inches and height of 20in

weqwewe [10]

Answer:

V = 500 pi in^3

or approximately 1570 in ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

The diameter is 10. so the radius is d/2 = 10/2 =5

V = pi (5)^2 * 20

V = pi *25*20

V = 500 pi in^3

We can approximate pi by 3.14

V = 3.14 * 500

V = 1570 in ^3

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2 years ago

Read 2 more answers

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2 years ago

Callie has a new kitten. They can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18

gavmur [86]

Answer:

The weight of cat is 14 pounds and the weight of kitten is 4 pounds.

Step-by-step explanation:

Given:

Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.

Now, to find the weight of each animal:

Let the cat's weight be $x.$

And the kitten weight = $\frac{x}{2} -3$

Total weight of cat and kitten = 18 pounds.

Now, to set an equation to get the weight of each animal:

$(x)+(\frac{x}{2}-3)=18$

$x+\frac{x}{2} -3=18$

$\frac{2x+x-6}{2} =18$

$\frac{3x-6}{2} =18$

Multiplying both sides by 2 we get:

$3x-6=36$

Adding both sides by 6 we get:

$3x=42$

Dividing both sides by 3 we get:

$x=14\ pounds.$

The weight of cat = 14 pounds.

Substituting the value of $x$ to get the kitten's weight:

$\frac{x}{2} -3\\\\=\frac{14}{2}-3\\\\=7-3\\\\=4.$

The kitten's weight = 4 pounds.

Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.

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2 years ago

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Phoenix [80]

Question 1 Answer:

Aunt 1 and Grandma 1 would fill gift bags.

Mom and Aunt 2 would make centerpieces.

You and Grandma 2 would blow up balloons.

Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.

Question 2 Answer:

We use algebra and our previous pairings to determine the length of each task.

Gifts Bags --> 6/7 hours

x = time together

$\frac{1}{x}$ = rate of completion

Aunt 1 = $\frac{1}{1.5}$ Grandma 1 = $\frac{1}{2}$

$\frac{2}{3} +\frac{1}{2} = \frac{1}{x}$

$\frac{7}{6} = \frac{1}{x}$

$x = \frac{6}{7}$

Centerpieces --> 7/4 hours

x = time together $\frac{1}{x}$ = rate of completion

Mom = $\frac{1}{3.5}$ Aunt 2 = $\frac{1}{3.5}$

$\frac{2}{7} + \frac{2}{7} = \frac{1}{x}$

$\frac{4}{7} = \frac{1}{x}$

$x = \frac{7}{4}$

Balloons --> 15/16 hours

x = time together $\frac{1}{x}$ = rate of completion

You = $\frac{1}{1.5}$ Grandma 2 = $\frac{1}{2.5}$

$\frac{2}{3} + \frac{2}{5} = \frac{1}{x}$

$\frac{16}{15} = \frac{1}{x}$

$x = \frac{15}{16}$

Shortest amount of time to complete all tasks is:

$\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}$ ≈ 3.54 hours

Converting hours to hours and minutes --> 3 hours 32 minutes

Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.

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Answer:

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Step-by-step explanation:

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