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Anvisha [2.4K]
2 years ago
12

What is the volume of a right triangular pyramid whose base is 3 meters on each side and whose altitude is 4 meters? A. 15.6 m3

B. 4.5 m3 C. 3.9 m3 D. 5.2 m3

Mathematics
2 answers:
BARSIC [14]2 years ago
5 0
"<span>V = 1/3AH where A = area of the </span>triangle<span>base, and H = height of the </span>pyramid<span> or the distance from the </span>pyramid's<span> base to the apex." (:</span>
kkurt [141]2 years ago
5 0
I attached it a picture, hope this helps. 

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Work out the lengths of sides a and b.<br> Give your answers to 1 decimal place.
torisob [31]

Step-by-step explanation:

{a}^{2}  =  {8}^{2}  +  {5}^{2}  \\  {a }^{2}  = 64 + 25 \\  {a}^{2}  = 89 \\ a =  \sqrt{89}  = 9.4 \: cm

{17}^{2}  =  {12}^{2}  +  {b}^{2}  \\  {b}^{2}  =  {17}^{2}  -  {12}^{2}  \\  {b}^{2}  = 289 - 144 \\  {b}^{2}  = 145 \\ b = 12 \: cm

3 0
2 years ago
What is 1/2 of 7/8? In fraction firm
dimulka [17.4K]

1/2*7/8=7/16

Answer:

7/16

5 0
3 years ago
Let A be a 3 by 6 , B be a 6 by 7 and C be a 7 by 3 matrix. Determine the size of the following matrices (if they do not exist,
kozerog [31]

Answer:

a. AB: 3 by 7

b. BA: N by N

c. A^TB: N by N

d. BC: 6 by 3

Step-by-step explanation:

Given

A =3\ by\ 6

B =6\ by\ 7

C =7\ by\ 3

Required

The dimension of the following matrices

As a general rule:

For A * B to be successful, the columns in a must equal the rows in B

Using this rule, we have:

A_{m*n} * B_{n * p} = AB_{m*p}

So:

(a)\ AB

A_{3*6} * B_{6*7} \to AB_{3 * 7}

(b)\ BA

B_{6*7} * A_{3*6} \to AB_{N * N}

The column numbers of B does not equal the row numbers of A.

Hence, BA does not exist

(c)\ A^TB

A^T implies that:

If A =3\ by\ 6, then

A^T = 6\ by\ 3

So:

A^T_{6*3} * B_{6,7} \to A^TB_{N*N}

The column numbers of A^T does not equal the row numbers of B.

Hence, A^TB does not exist

(d)\ BC

B_{6*7} * C_{7*3} \to BC_{6,3}

6 0
3 years ago
Enter the correct answer in the box. Write the sum of 12√23x13 + 14√23x13 in simplest form, if x &gt; 0.​
joja [24]

12\sqrt{23 x^{13}} + 14\sqrt{23x^{13}}\\\\=(12+14) \sqrt{23x^{13}}\\\\=26\sqrt{23x^{13}}\\\\=26 \cdot 23^{\tfrac {1}2} \cdot x^{\tfrac{13}2}

5 0
1 year ago
Please show work! Please and thank you!
My name is Ann [436]
Question 5(A)
Answer:51
Explanation
Step 1:evaluate the power
Step2:add the numbers
Step 3:calculate the square root
Step4:reduce the fraction with 4
Step5:calculate the sum or the difference and ur final answer is 51

Question 5(B)
Answer:9/2
Explanation:
Step 1:calculate the difference
Step 2:evaluate the power
Step 3:subtract the numbers
Step 4:calculate the sum
And ur final answer is 9/2

Question 6:(A)
Answer:x=36/11
Explanation:
Step 1:distribute 4 through the parentheses
Step 2:move variable to the left hand side and change its sign
Step 3:move constant to the right hand side and Change it’s sign
Step 4:collect like items
Step 5:add the numbers
Step 6:divide both sides of the equation by 11
And ur final answer is x=36/11

Question 6(B)
Answer:x=192
Explanation:
Step 1:multiply both sides of the equation by 3
Step 2:move the constant to the right hand side and change its sign
Step 3:add the numbers
And ur final answer is x=192

Question 7
Answer B($60)
Explanation:the shape is rectangular and it is 12 feet long and the other is 5 feet wide it’s like finding the area of it so u basically need to multiply 12 by 5 and ur answer is 60

Here is the answers and the explanations step by step I hope it helps
Have a great day and stay safe

6 0
3 years ago
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