All categories

3 years ago

The following square-based pyramid has a base area of 30 square units and a volume of 96 cubic units. The

Mathematics

1 answer:

MakcuM [25]3 years ago

7 0

Answer: 96 cubic units

Step-by-step explanation: I checked on Khan and that’s what they’re saying is the correct answer.

You might be interested in

Using long division to find the quotient, what changes do you first

lora16 [44]

Answer:

$\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4$

Step-by-step explanation:

Given

$Dividend = 125x^3 - 8$

$Divisor = 5x - 2$

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

$\frac{125x^3}{5x} =25x^2$

Write $25x^2$ at the top

Multiply $5x - 2$ by $25x^2$

$= 125x^3 - 50x^2$

Subtract from 125x^3 - 8

i.e.

$125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8$

Step 2:

Divide 50x^2 by 5x

$\frac{50x^2}{5x} = 10x$

Write $10x$ at the top

Multiply $5x - 2$ by $10x$

$= 50x^2 - 20x$

Subtract from 50x^2 - 8

i.e.

$50x^2 - 8 - (50x^2 - 20x) = 20x - 8$

Step 3:

Divide 20x by 5x

$\frac{20x}{5x} = 4$

Write $4$ at the top

Multiply $5x - 2$ by $4$

$= 20x - 8$

Subtract from 20x - 8

i.e.

$20x - 8 - (20x - 8) = 0$

Hence:

$\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4$

8 0

3 years ago

What in slope-intercept form, can go through the line ( a, 2a) and (-5a, 6a)

Wittaler [7]

Answer:

y = -2/3x + 8/3a

Step-by-step explanation:

Given points

(a, 2a) and (-5a, 6a)

Slope-intercept form

y = mx + b

Slope of the line is

m = (6a - 2a)/( -5a - a) = 4a/(-6a) = - 2/3

The y-intercept is:

2a = -2/3*a + b
b = 2a + 2/3a
b= 8/3a

So the line is:

y = -2/3x + 8/3a

7 0

3 years ago

Read 2 more answers

What is the product of 84,90?

MAVERICK [17]

84•90 is 7,560.

ndheisn

3 0

4 years ago

The function f(x) = 1.50x + 12.50 relates how much kelsey pays for digital service, f(x), to the number of movies, x, she stream

Brums [2.3K]

f(18) = 39.50

This gives the monthly cost Kelsey will pay if she streams 18 movies in a month

Step-by-step explanation:

Given function is:

$f(x) = 1.50x+12.50$

Here x is the number of movies

so for f(18), this means that the total number of movies will be 18

Solving

$f(18) = 1.50(18)+12.50\\f(18) = 27+12.50\\f(18) = 39.50$

Hence,

f(18) = 39.50

This gives the monthly cost Kelsey will pay if she streams 18 movies in a month

Keywords: functions, Domain,range

Learn more about functions at:

#LearnwithBrainly

6 0

3 years ago

Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible c

Vinvika [58]

7 times.
your welcome

4 0

3 years ago

Read 2 more answers