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4 years ago

The height of a pyramid is 15 inches. The pyramid's base is a square with a side of 5 inches. What is the pyramid's volume?

Mathematics

1 answer:

padilas [110]4 years ago

6 0

Answer:

The pyramid's volume is $125\ in^{3}$

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

$V=(1/3)Bh$

where

B is the area of base of pyramid

h is the height of the pyramid

Find the area of the base B

$B=5^{2}=25\ in^{2}$ -----> is a square

$h=15\ in$

substitute the values

$V=(1/3)(25)(15)=125\ in^{3}$

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2. Solve the equation: y- 17 = 6 a. y = 11 b. y = 23 C. y = 12 d. y = 33

WARRIOR [948]

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4 years ago

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PLEASE HELP!! I WILL BRAINLIEST

ArbitrLikvidat [17]

Answer:

81.8%

Step-by-step explanation:

Mean = $\mu = 40$

Standard deviation = $\sigma = 5$

Now we are supposed to find out what percent of the numbers fall between 35 and 50

$z = \frac{x-\mu}{\sigma}$

Substitute the values

$z = \frac{x-40}{5}$

Now for P(35<x<50)

Substitute x = 35

$z = \frac{35-40}{5}$

$z =-1$

Substitute x = 50

$z = \frac{50-40}{5}$

$z =2$

So, P(-1<z<2)

P(z<2)-P(z<-1)

=0.9772-0.1587

=0.8185

= $0.818 \times 100$

=81.8%

Hence 81.8% percent of the numbers fall between 35 and 50

7 0

3 years ago

A n =−1+3(n−1) an=−1+3(n−1) what is the 55 term in the sequence

Sindrei [870]

ANSWER

$a_{55}=161$

EXPLANATION

The general term for the sequence is

$a_n=-1+3(n-1)$

To find the 55th term, we have to substitute
$n = 55$
in to the general term and simplify.

This implies that,

$a_{55}=-1+3(55-1)$

$a_{55}=-1+3(54)$

$a_{55}=-1+162$

$a_{55}=161$

Therefore the 55th term is 161.

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3 years ago

Toms house cost $100000 in the year 2000 in 2008 he sold his house for 125000 what was the percentage of change in the price of

Leno4ka [110]

There was a 125% change in the price of the house.

The changed price was an increase of from the original 100,000 therefore the answer can be concluded to be above 100%.

Anyways, to solve this problem you need to find what 125,000 is OF 100,000, meaning you need to divide. 125,000/100,000=1.25. 1.25 can then be changed into 125%.

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3 years ago

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What is the solution of the equation 6x - 4 = 2(3x - 2). Explain your steps.

Vikki [24]

Answer: x= 4/3 but in decimal form =1.333

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4-(2*(3*x-2))=0

4 - 2 • (3x - 2) = 0

Pull out like factors :

8 - 6x = -2 • (3x - 4)

Solve : 3x-4 = 0

Add 4 to both sides of the equation :

3x = 4

Divide both sides of the equation by 3:

x = 4/3 = 1.333

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3 years ago

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