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loris [4]
3 years ago
7

A pyramid has a square base with sides 100 feet long. The original height was 75 feet.

Mathematics
2 answers:
viva [34]3 years ago
8 0

Step-by-step explanation:

<u>Step 1:  Find the volume of the original pyramid</u>

<u />V = a^2*\frac{h}{3}

V=(100)^2*\frac{75}{3}

V=10000*25

V=250000

<u>Step 2:  Find the volume of the cut off</u>

<u />V=(20)^2*\frac{15}{3}

V = 400*5

V=2000

<u>Step 3:  Find the percent that still remains</u>

<u />250000-2000

248000

248000 / 250000

0.992*100

99.2

Answer:  99.2%

____ [38]3 years ago
4 0

Answer:

99.2%

Step-by-step explanation:

Ratio of volumes = (Ratio of sides)³

Ratio of volumes = (15/75)³

Ratio of volumes = 1/125

1/125 × 100 = 0.8% was cut off

100 - 0.8 = 99.2% remains

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3 years ago
Help please! I will mark Brainiest!!
aleksklad [387]

Answer:

It is equal to each other

Step-by-step explanation:

\sqrt{\frac{1}{x^2}} = \frac{1}{x}\\\sqrt[3]{\frac{1}{x^3}} = \frac{1}{x}

6 0
3 years ago
What is the fully factored form of the expression 16x^2 - 49y^2
podryga [215]

Answer:

(4x + 7y)(4x - 7y)

Step-by-step explanation:

Rewrite 16 as 4^2

= 4^2x^2 - 49y^2

Rewrite 49 as 7^2

= 4^2x^2 - 7^2y^2

Apply the Exponent Rule Pt 1  ((a^m*b^m =(ab)^m))

= (4x)^2 - 7^2y^2

Apply the Exponent Rule Pt 2

= (4x)^2 - (7y)^2

Apply Difference of Squares Formula (( x^2-y^2 = (x + y)(x - y)

= (4x + 7y) (4x - 7y)

6 0
3 years ago
Thirteen divided by 1,690
enyata [817]

Answer:

130

Step-by-step explanation:

13 goes into 16 how many times - 1

subtract- you get 390

13 goes into 390 how many times?- 30

Your answer - 130

7 0
3 years ago
Mary would like to save $10 000 at the end of 5 years for a future down payment on a car
suter [353]

Answer:

a) $161.8

b i) Approximately 327.7 hours

ii) The cost of saving is less but the opportunity cost of saving can be higher with regards to technology and regulation

Step-by-step explanation:

The amount Mary would like to save, FV = $10,000

The time Mary over which Mary intends to save the amount, t = 5 years

Therefore, the number of monthly payments, n = 12

a) The amount in interest the bank pays compounding, i = 1.2% per annum

The amount that Mary will deposit each month is given as follows;

The compound interest formula is given as follows;

PMT = \dfrac{FV}{\left (\dfrac{ \left (1 + \dfrac{i}{12}  \right )^n - 1}{ \dfrac{i}{12}} \right)}

Where;

PMT = The monthly payment

Therefore, we get;

PMT = \dfrac{10,000}{\left (\dfrac{ \left (1 + \dfrac{0.012}{12}  \right )^{60} - 1}{ \dfrac{0.012}{12}} \right)} \approx 161.8

PMT = 10,000/((1 + 0.012/12)^(60) - 1)/(0.012/12)) ≈ 161.8

The amount she needs to deposit monthly, PMT ≈ $161.8

b i) Given that the minimum wage varies and we have a minimum wage here is officially approximately $79, which is 160 hours a month work

The number of hours work needed = 161.8/79 × 160 ≈ 327.7 hours a month approximately

b ii) Given that the interest rate for saving is lower than the interest rate for borrowing, the amount paid by saving is much lesser than the amount paid back when borrowing, therefore, it is more cost effective to save

However, while saving, changes may take place, such as the use of what is being saved for, therefore, it can be more beneficial to borrow and make use of the items now while they are still available and acceptable, such as the drive towards net zero is making fuel based cars less popular with the drive being towards electric cars.

7 0
3 years ago
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