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1 year ago

12. The base of a pyramid is a

Mathematics

2 answers:

NeTakaya1 year ago

7 0

35 cubic inches is right

maks197457 [2]1 year ago

4 0

Answer:

35 cubic inches

Step-by-step explanation:

The volume of a pyramid is $\frac{1}{3} bh$ , where b = base and h = height. To find the area of the base, we multiply 3 by 5 and then divided by 2.

3 × 5 = 15
15 ÷ 2 = 7.5

Next, we multiply 7.5 by 14.

7.5 × 14
105

Lastly, we divide by 3.

105 ÷ 3
35

Therefore, the answer is 35 cubic inches.

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Which function has the greatest constant of variation? A x 8 9 10 11 y 20 22.5 25 27.5 B x 1 2 3 4 y 3.2 6.4 9.6 12.8

Lina20 [59]

Answer : B x 1 2 3 4 y 3.2 6.4 9.6 12.8

WE analyze the first option A

x -- y -- Difference

8 -- 20

9 -- 22.5 -- 2.5

10 -- 25 -- 2.5

11 -- 27.5 -- 2.5

From the first function we can see there is a constant difference of 2.5.

We analyze the second option B

x -- y -- Difference

1 -- 3.2

2 -- 6.4 -- 3.2

3 -- 9.6 -- 3.2

48 -- 12.8 -- 3.2

From the second function we can see there is a constant difference of 3.2

3.2 is the greatest

So second function B has the greatest constant of variation.

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2 years ago

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This system of equations has an infinite number of solutions. Define the solutions algebraically, and allow z to represent all r

Soloha48 [4]

Answer:

x = 12z + 1 and y = 10z - 1

Step-by-step explanation:

To solve the system of equations, we can use the substitution method

If we call

3x - 4y + 4z = 7 I

x - y - 2z = 2 II

2x - 3y + 6z = 5 III

Clearing II x = 2 + y + 2z

Now, replacing II in III

2(2 + y + 2z) - 3y +6z = 5

4 + 2y + 4z - 3y + 6z = 5

10z - y = 1 from here y = 10z - 1

Finally, replacing y in I

3x - 4(10z - 1) + 4z = 7

3x -40z + 4 + 4z = 7

3x - 36z = 3

3x = 36z + 3

x = 12z + 1

Done

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2 years ago

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2 years ago

Ava is 23 cm taller than Olivia, and Olive is half the height of Lucas. If Lucas is1.78 m tall, how tall are Ava and Olive? Expr

bonufazy [111]

Ava's Height = $a$
Olivia's Height = $o$
Lucas' Height = $l$

We know from the question that;

$o = \frac{1}{2}l$

If Lucas is 1.78m tall, then he is 178cm tall, so $l = 178$

$o = \frac{1}{2}178$

$o = 89$

We also know that;

$a + 23 = o$

As we have worked out that $o = 89$ ,

$a + 23 = 89$

$a = 89 - 23$

$a= 66$

$\boxed {a = 66cm, o = 89cm}$

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2 years ago

Rounding 8.54 to the nearest tenth.

Alex17521 [72]

8.50 because the 4 in 8.54 is lower than 5 so it 8.50

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2 years ago

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