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garik1379 [7]
3 years ago
6

A cube and a square pyramid were joined to form the composite solid.

Mathematics
1 answer:
Yakvenalex [24]3 years ago
5 0
We know that
<span>total surface area of the composite solid=surface area of the pyramid+surface area of the cube

surface area of the pyramid=4*area of lateral triangle side
area of lateral triangle side=12*9/2----> 54 in</span>²
surface area of the pyramid=4*54---> 216 in²

surface area of the cube=5*[12*12]----> 720 in²

total surface area of the composite solid=216 in²+720 in²---> 936 in²

the answer is the option
<span>936 square inches </span>
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Y is directly related to X, and Yis 81 when X is 27.<br> The constant of variation is
Arisa [49]

Answer:

3

Step-by-step explanation:

A direct variation is of the form

y = kx

We know x and y so we can find k

81 = k *27

Divide each side by 27

81/27 = 27k/27

3=k

The constant of variation is 3

5 0
3 years ago
For the equation y= x + 5, find the value of y when
Nina [5.8K]

Answer:

a) 3 b) 5 c) 7 d) 9

Step-by-step explanation:

For this, you want to replace x in the equation y=x+5 with each of the values listed.

For the first one, -2, the equation becomes y=-2+5, which is solved to y=3.

For the second one, 0, the equation becomes y=0+5, which is solved to y=5.

For the third one, 2, the equation becomes y=2+5, which is solved to y=7.

For the last one, 4, the equation becomes y=4+5, which is solved to y=9.

**This content involves solving algebraic equations with a known variable, which you may wish to revise. I'm always happy to help!

5 0
3 years ago
How do I solve the following system of equations? <br>-5x-3y=7<br>-3x-4y=2​
garri49 [273]

Answer:

(-2, 1)

Step-by-step explanation:

Systems of equations can be solved using different methods.  For this set of systems, you can multiply each equation by a factor in order to eliminate a variable and solve for the other variable:

-3(-5x - 3y = 7)  or 15x + 9y = -21

5(-3x - 4y = 2)  or <u>-15x -20y = 10</u>

                                    -11y = -11

                                        y = 1

Solve for x:  -5x - 3 = 7

Add 3 to both sides:  -5x -3 + 3 = 7 + 3 or -5x = 10

Solve for x: x = -2

(-2, 1)

6 0
3 years ago
Write the quadratic equation in general form and then choose the value of "b."
eduard
The answer is b. 11. 

You can find this by multiplying the two parenthesis together. In order to do this, you can use a multiplying process known as FOIL (First, Outer, Inner, Last), where you multiply parts of the parenthesis in this order to make sure you do so properly. 

First Numbers:
2x * x = 2x^2

Outer Numbers: 
2x * 6 = 12x

Inner Numbers: 
-1 * x = -1x

Last Numbers: 
-1*6 = -6

Now place them all in that order and simplify. 
2x^2 + 12x - x - 6 ---> simplify x terms
2x^2 + 11x - 6

Since the middle term (the one with the x value) has a coefficient of 11, that gives us a b value of 11. 
3 0
3 years ago
A decimal in which one or more digits repeat infinitely
Ket [755]

Answer:

A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero. The infinitely repeated digit sequence is called the repetend or reptend.

6 0
2 years ago
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