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3 years ago

Pyramid.

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

7 0

Answer:

9 cm.

Step-by-step explanation:

Let the height of the pyramid be h cm, then the height of the cuboid is (15 - h) cm.

Volume of the pyramid:

= 1/3 * h * s^2 where s is the length of a side of the square base.

= hs^2/3 cm^3

Volume of the cuboid:

= s^2(15 - h).

So we have:

hs^2/ 3 = 300.......................(1)

s^2(15 - h) = 600..................(2)

From equation (1) :

h s^2 = 900

s^2 = 900/h

Now substitute for s^2 in equation (2) :

(900/h)(15 - h) = 600

Multiply through by h:

900(15 - h) = 600h

13500 - 900h = 600h

1500h = 13500

h = 9 cm (answer).

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Solve the systems by the addition method x - 2y = - 4 2x + y = 7

vfiekz [6]

To solve this system of equations by addition, our first goal is to cancel

out one of the variables by adding the two equations together.

However, if we add these two equations together right away, nothing

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Notice that we have an 2x in our second equation.

If we had a -2x in our first equation, then the x's would cancel out.

In order to create a -2x in the first equation, we simply

multiply both sides of the first equation by -2.

So we have (-2)(x - 2y) = (-4)(-2) which can be rewritten as -2x + 4y = 8.

Now rewrite both equations, as shown below.

Now when we add the equations together, the x terms

will cancel out and we're left with 5y = 15.

Dividing both sides by 5, y = 3.

To solve for x, plug a 3 in for y in either one of our 2 original equations.

So let's go with our second equation.

Plugging a 3 in for y, we get 2x + (3) = 7.

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5 0

3 years ago

10. Jan purchased 140 shares of stock in the ABC Company at a price of $18.75 per share. During the

andre [41]

$\bold{\huge{\orange{\underline{ Solution }}}}$

$\bold{\underline{ Given :- }}$

Jan purchased 140 shares of stock in ABC company at a price of $18.75 per share
During the next 3 days, the value of share declined by $1.00 , $1.75 and $1.50

$\bold{\underline{ To \: Find :- }}$

We have to find the value of a share of ABC stock at the end of 3 days

$\bold{\underline{ Let's \: Begin :- }}$

According to the question,

Cost of 1 share of ABC company = $18.75

Therefore, 

Cost of 140 shares purchased by Jan in the ABC company

$\sf{ = 140 × 18.75 }$

$\sf{ = 2625\: dollars }$

Now, 

For next 3 days, the value of share declined

$\sf{ = (1 + 1.75 + 1.50)dollars }$

$\sf{ = 4.25 \: dollars }$

Therefore, 

The value of shares after 3 days will be

$\bold{ = }{\bold{\frac{2625 - 4.25}{ 140}}}$

$\bold{ = }{\bold{\frac{ 2620.75}{ 140}}}$

$\bold{\red{ = 18.75\: dollars}}$

Hence, The value of share after 3 days will be $18.75 .

5 0

3 years ago

I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST! A circle has a diameter AB, and its center is at (-3, 3). Point A is at (1/2,6)

kow [346]

Using the mid-point concept, it is found that point B is located at coordinates (-6.5, 0).

<h3>What is the midpoint concept?</h3>

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The center is the midpoint of the two coordinates of the diameter, hence:

$C = \frac{B + A}{2}$

For the x-coordinate:

$-3 = \frac{x + 0.5}{2}$

x + 0.5 = -6

x = -6.5

For the y-coordinate:

$3 = \frac{y + 6}{2}$

y + 6 = 6

y = 0

More can be learned about the mid-point concept at brainly.com/question/10956693

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3 0

2 years ago

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mezya [45]

Answer:

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Step-by-step explanation:

8 0

3 years ago

What is the area of this composite shape?

grandymaker [24]

(29-22)*26+(26-21)*22

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4 years ago