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4 years ago

Three oblique pyramids have the same regular square base. Which one has a volume of 15 cubic units if the area

Mathematics

2 answers:

Verizon [17]4 years ago

5 0

Answer:

Step-by-step explanation:

expeople1 [14]4 years ago

5 0

Answer:

<h2>The second pyramid, placed in the middle, has a volume of 15 square units.</h2>

Step-by-step explanation:

Givens

The area of the bases is 15 square units.
All of them have the same base.

The volum of a pyramid is defined as

$V=\frac{1}{3}Bh$

Where $B$ is the are of the base and $h$ is the height.

So, all of them have $B=15u^{2}$

The first pyramid has a height of 4, replacing this in the formula we have

$V=\frac{1}{3}15(4)=5(4)=20u^{3}$

The second pyramid has a height of 3

$V=\frac{1}{3}15(3)=5(3)=15u^{3}$

The third pyramid has a height of 12

$V=\frac{1}{3}15(12)=5(12)=60u^{3}$

Therefore, the second pyramid, placed in the middle, has a volume of 15 square units.

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in- is a prefix that means not. inequalities are ways of showing relationships that are not equal. true or false

nikdorinn [45]

Answer:

1)True

2) True

Explanation;

1)The prefix in, which means “in, on, or not,” appears in numerous English vocabulary words, for example: inject, influx.

2)Often (but not always) inequality was a tool an abuser used to control their partner.

Hope this helps! If so please mark brainliest and rate/heart to help my account if it did!!

7 0

4 years ago

All 60 students in the seventh grade must choose a fall sport in which they will participate. If 2/5 of them choose volleyball,

motikmotik

Answer:

Step-by-step explanation:

24 play volleyball

15 play soccer

Softball= 60-(24+15)=21

2/5 = 40%

100% -(40+25)= 35%

60x0.35=21

5 0

3 years ago

What changes could you make to values assigned to outcomes to make the game fair? Prove that the game would be fair using expect

ozzi

For a definite answer, let us take a look at the given circle graph. You are given that landing on a blue sector will give 3 points, landing on a yellow sector will give 1 point, purple sector will give 0 points and red sector will give -1 point. You are asked to find the probability of landing -1, 0, 1 and 3 points. There are a total of 7 pie graphs in the circle.

For -1 point, you know that only a red sector will give you a negative one point. In the circle graph, there are two red portions. So you will have a probability of 2/7.

For the 0 point, you know that only a purple sector will give you zero point. In the circle graph, there are two purple portions. So you will have a probability of 2/7.

For the 1 point, you know that only a yellow sector will give you one point. In the circle graph, there are two yellow portions. So you will have a probability of 2/7.

For the 3 points, you know that only a blue sector will give you three points. In the circle graph, only one blue portion is shown. So you will have a probability of 1/7.

5 0

3 years ago

Read 2 more answers

Eric purchased three music CDs and a sweatshirt from a band's online store and received a 20% discount. He paid $100 for his pur

swat32

The <em>correct answers</em> are:

B) $25; and

D) $50.

Explanation:

Eric got a 20% discount. This means he paid 100%-20% = 80% of the retail value.

Let C represent the cost of CDs and S represent the cost of sweatshirts. For Eric's purchase, we have the equation:

0.8(3C+S) = 100

Using the distributive property, we have

0.8(3C) + 0.8(S) = 100

2.4C + 0.8S = 100

Neil got a 40% discount; this means he paid 100%-40% = 60% of the retail value. We have the following equation for him:

0.6(4C+2S) = 120

Using the distributive property, we have:

0.6(4C)+0.6(2S) = 120

2.4C + 1.2S = 120

This gives us the system:

$\left \{ {{2.4C+0.8S=100} \atop {2.4C+1.2S=120}} \right.$

Since the coefficient of C is the same in each equation, we will eliminate this variable. We do this by subtracting the equations:

$\left \{ {{2.4C+0.8S=100} \atop {(2.4C+1.2S=120)}} \right. \\ \\-0.4S=-20$

We divide both sides by -0.4:

-0.4S/-0.4 = -20/-0.4

S = 50

Each sweatshirt is $50.

We will substitute this into the first equation:

2.4C+0.8(50) = 100

2.4C + 40 = 100

Subtract 40 from each side:

2.4C+40-40 = 100-40

2.4C = 60

Divide each side by 2.4:

2.4C/2.4 = 60/2.4

C = 25

Each CD is $25.

8 0

3 years ago

Read 2 more answers

James started an apple orchard with the trees he already had and then planted 25 more. Now his orchard contains 44 trees. How ma

Aneli [31]

He had 19 trees to start with. also love the pfp :3

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3 years ago