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omeli [17]
2 years ago
10

Find the volume of the pyramid. Round to the nearest tenth if necessary. hurry!!

Mathematics
1 answer:
Agata [3.3K]2 years ago
7 0

Answer:

Step-by-step explanation:

All pyramids have a volume as one-third of a prism with the same base area and the same height.

This will make the formula for the volume \frac{1}{3}(base*height). We already know the height of the pyramid is 10, but the area of the base for this rectangle would be its length and its width. Let's calculate this:

7*2.3=16.1\hspace{0.1cm}in^2

Let's put these values back into the formula:

V=\frac{1}{3}(16.1*10)\\ V=\frac{1}{3}(161)\\ V= 53.7\hspace{0.1cm}in^3

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Please need help in these 3 algebra questions !!!!
Marysya12 [62]

Answer:

\large\boxed{7.\ B.\ 8s^2+16s+1}\\\\\boxed{8.\ D.\ -15t^9u^{11}}\\\\\boxed{11.\ C.\ 3,\ -2}

Step-by-step explanation:

7.\\(3s^2+7s+2)+(5s^2+9s-1)=3s^2+7s+2+5s^2+9s-1\\\\\text{combine like terms}\\\\=(3s^2+5s^2)+(7s+9s)+(2-1)\\\\=8s^2+16s+1

8.\\(-3t^2u^3)(5t^7u^8)=(-3\cdot5)(t^2t^7)(u^3u^8)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=-15t^{2+7}u^{3+8}=-15t^9u^{11}

11.\\n-the\ number\\\\n^2=n+6\qquad\text{subtract}\ n\ \text{and}\ 6\ \text{from both sides}\\\\n^2-n-6=0\\\\n^2+2n-3n-6=0\\\\n(n+2)-3(n+2)=0\\\\(n+2)(n-3)=0\iff n+2=0\ \vee\ n-3=0\\\\n+2=0\qquad\text{subtract 2 from both sides}\\n=-2\\\\n-3=0\qquad\text{add 3 to both sides}\\n=3

4 0
4 years ago
Clark borrow $16,000 to buy a car. He pays simple interest at an annual rate of 6% over a period of 3.5 years. How much does he
Paha777 [63]
The equation for annual interest is A = P(1 + r)^t. We can plug in the known information and get A = 16,000(1 + (0.06))^3.5. Next, we can simplify this equation to A = 16,000(1.06)^3.5. Finally, we raise 1.06 to the power of 3.5 and multiply that by 16,000 and get an answer of $19,619.62.

Hope this helps!
7 0
3 years ago
Read 2 more answers
Question 10 of 21
PSYCHO15rus [73]

<u>ANSWER</u>

A. (4,12)

<u>EXPLANATION</u>

The equations are:

10x +2y = 64...(1)

and

3x - 4y = -36...(2)

To eliminate a variable we make the coefficients of that variable the same in both equations.

It is easier to eliminate x.

We multiply the first equation by 2 to get:

20x + 4y = 128...(3)

We add equations (2) and (3).

3x + 20x + 4y - 4y =  - 36 + 128

23x = 92

Divide both sides by 23

\frac{23x}{23}  =  \frac{92}{23}

x = 4

Put x=4 into equation (1).

10(4)+2y = 64

40+2y = 64

2y = 64 - 40

2y = 24

\frac{2y}{2}  =  \frac{24}{2}

y = 12

The solution is (4,12)

6 0
3 years ago
HELP PLS ASAP<br><br><br><br> -5 = 5/12a pls evaluate
Setler79 [48]

Answer:

a = -12

Remember that when a variable is times with a number, you <u>divide</u> the number on both sides.

When a variable is divided by a number, you <u>multiply</u> the number on both sides.

Hope this helps you. Thank you !!

6 0
3 years ago
3 2/7 fraction that have the same value
zimovet [89]
46/14. Hoped this helped!
7 0
3 years ago
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