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MrRissso [65]
3 years ago
13

Volume of a rectangular prism help pls.

Mathematics
1 answer:
oee [108]3 years ago
3 0

Volume of a rectangular prism=L×B×H

since the area is already given to you as 27/5units²...

volume=(27/5)×(5/2)

= 13.5 units³

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A circle passes through (3,-1),(-2, 4), and (6,8)
Vaselesa [24]

Answer:

D = -6, E = -8 , F = 0

Step-by-step explanation:

standard form = x^{2} + y^{2} + Dx + Ey + F = 0

now, when circle passes through (3,-1);

⇒ 3^{2} + (-1)^{2} + D(3) + E(-1) + F = 0

⇒ 3D - E + F + 10 = 0    ...............( equation 1)

when circle passes through (-2,4);

⇒ (-2)^{2} + 4^{2} + D(-2) + E(4)+ F = 0

⇒ -2D + 4E + F + 20 = 0    ...............( equation 2)

when circle passes through (6,8);

⇒ 6^{2} + 8^{2} + D(6) + E(8) + F = 0

⇒ 6D + 8E + F + 100= 0       ................( equation 3)

by solving these 3 equations , we get;

D = -6, E = -8, F = 0

hence,

standard form = x^{2} + y^{2} + Dx + Ey + F = 0

                        = x^{2} + y^{2} - 6x - 8y = 0

5 0
3 years ago
How to add and subtract positive and negative numbers?
mina [271]
Negative and negative equals a positive and positive and a negative equals a negative and then positive and positive equals positive hopefully that helped

4 0
3 years ago
Solve the problem 3g+7g+8=-10+g
Vinil7 [7]
First simplify like terms (things with the same letter):

3g + 7g + 8 = -10 + g

10g + 8 = -10 + g

Next we should take g off both sides:

9g + 8 = -10

Next isolate 9g by taking 8 off both sides:

9g = -18

Next divide both sides by 9 to find the value of g:

g = -2
3 0
3 years ago
Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax), while employers paid another 6.2%. How much
yaroslaw [1]

The number of earnings towards social security should be $1,890.

According to the statement

We have to find that the security out of their gross wages.

So, For this purpose, we know that the

Gross pay refers to the amount used to calculate the wages of an employee or salary.

From the given information:

The employers in 2012 paid 4.2%.

The employer should paid 6.2%.

And, the earning should be $45,000.

Based on the above information, the calculation is as follows:

4.2% * 45,000

= $1,890

Therefore, we will conclude that the number of earnings towards social security should be $1,890.

Learn more about Gross pay here

brainly.com/question/15530787

#SPJ1

4 0
2 years ago
What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0?
s344n2d4d5 [400]

Answer:

2 units

Step-by-step explanation:

The given equation of the circle is:

x^{2} + y^{2}+8x-6y+21=0

The general equation of the circle is:

x^{2} + y^{2}+2gx+2fy+c=0

Comparing the given equation with the general equation we can say:

g = 4

f = -3

c = 21

The formula for radius of the circle is:

radius=\sqrt{g^{2} +f^{2} -c }

Using these values of the given circle, we get:

radius=\sqrt{(4)^{2}+(-3)^{2}-21}\\\\radius=\sqrt{4}\\\\radius=2

Therefore, the length of radius of the given circle is 2.

3 0
3 years ago
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