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Sever21 [200]
3 years ago
5

What is the volume of the pyramid shown below?

Mathematics
1 answer:
Nookie1986 [14]3 years ago
4 0

Volume of a square pyramid = 1/3 x length x width x height

Volume = 1/3 x 5 x 5 x 21 = 175 cubic centimeters.

The answer is C

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Linda and Rob open an online savings account that has a 2.89% annual interest rate, compounded
sp2606 [1]

Answer:

FV= $34,222.33

Step-by-step explanation:

<u>First, we need to calculate the weekly interest rate:</u>

Weekly interest rate= 0.0289/52= 0.00056

<u>To calculate the future value (FV), we need to use the following formula:</u>

FV= {A*[(1+i)^n-1]}/i

A= weekly deposit

n= 15*52= 780

A= $35

FV= {35*[(1.00056^780) - 1]} / 0.00056

FV= $34,222.33

4 0
3 years ago
The length of a rectangle is 1 ft less than twice the width, the area of the rectangle is 21 ft squared. What’s the length
guapka [62]

Answer:

The length of the rectangle is 6 feet

Step-by-step explanation:

Given as :

The length of rectangle is 1 feet less than twice the width

So, let The width of rectangle = w feet

The length of rectangle = ( 2 w - 1 )  feet

The area of the rectangle = 21 feet²

Now,

∵ The area of the rectangle = length × width

Or, 21 feet² =  ( 2 w - 1 ) feet × w feet

or, 21 = 2 w² - w

or, 2 w² - w - 21 = 0

or, 2 w² + 6 w - 7 w - 21 = 0

or , 2 w ( w + 3 ) - 7 ( w + 3 ) = 0

or, ( w + 3 ) ( 2 w - 7 ) = 0

So, w = - 3 feet , \frac{7}{2} feet

here we consider only positive value of w i.e  \frac{7}{2} feet

∴ The length of rectangle = ( 2 w - 1 )  feet

or,  The length of rectangle = 2 × \frac{7}{2}  - 1

Or, The length of rectangle = 7 - 1 = 6 feet

Hence The length of the rectangle is 6 feet , Answer

3 0
3 years ago
Convert the rate of 10 yards per 5 minutes to feet per hour
jenyasd209 [6]
10 yards per 5min is

10yrd/5min

first convert it into yards per minute

10yrds/5min = 2yrds/1min

let's first so the yards to feet part first

1 yrd = 3 feet

2yrds/min * 3ft/1yrd

so now we have

6yrds/min

now convert minute to hour

1 hour = 60 mins

6yrds/min * 60min/1hr

=360/1hr

remember so that units cancel

5 0
4 years ago
Read 2 more answers
Please help me to solve problems ​
Irina18 [472]

Step-by-step explanation:

ajhai ans Pani chaiyo ki sabai ko ans pathau

3 0
3 years ago
Read 2 more answers
What is the general process for solving an equation with one variable?
elena55 [62]
Greetings!

"<span>What is the general process for solving an equation with one variable?"...

Typically when solving an equation with one variable, your objective is to isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.

Example:
</span>2x+4=64
<span>Add -4 to both sides to isolate the variable.
</span>(2x+4)+(-4)=(64)+(-4)<span>
Simplify.
</span>2x=60
Divide both sides by 2 to isolate the variable on one side.
(2x)/2=(60)/2
x=30

Hope this helps.
-Benjamin
5 0
4 years ago
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