MATHEMATICS HIGH SCHOOL

Find the volume of this square pyramid.48 cm3
96 cm3
144 cm3
288 cm3
Find the volume of this square pyramid. 48 cm3 96 - 1

Answers

Answer 1
Answer: Formula:

V = 1/3 * b^2 * h

Plug in what we know:

V = 1/3 * 6^2 * 4

Simplify exponent:

V = 1/3 * 36 * 4

Multiply all 3 numbers together:

V = 48cm^3
Answer 2
Answer: V=a^(2)·(h/3)
a=base edge
h= height
V=6^(2)·(4/3)
V=36·(4/3)
V=48
48 cm³

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How do you add degrees, minutes and seconds?

Answers

It isn't easy.  You just have to go slowly and keep your wits about you.

-- Add the seconds.  If the sum is more than 60, then take 60 off, write what's left
as seconds, and carry 1 minute next door to the minutes.

-- Add the minutes. If the sum is more than 60, then take 60 off, write what's left
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-- Add the degrees.

You can use exactly the same procedure to add hours, minutes, and seconds
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Which pair of numbers is relatively prime? A.
18 and 45

B.
26 and 91

C.
10 and 33

D.
14 and 63

Answers

The answer is C)

The numbers are relatively prime if there is no common factor that divides both of them apart from 1.  A) isn't answer because 3 is one of common factors. B isn't answer because 13 is common factor. and D isn't answer because 7 is common factor.

Therefore only 10 and 31 have no common factors other than 1

Henry can ride his bike 23 miles in 2 hours. The store is six miles away. About hoe long should it take Henry to ride his bike to the store?

Answers

It would take Henry about 0.52 hours.
Or 13/25 hours if you needed it in fraction form

How do I solve 8 + 5/16

Answers

8 + (5)/(16) = (8)/(1) + (5)/(16) = (8*16)/(16) + (5)/(16) = (8*16+5)/(16)= (133)/(16)
8/1                       +                      5/16                    
  *16
 128/16     + 5/16                =    133/16

Which systems of equations have exactly one solution?Choose all answers that are correct.
1. y = 2x
y=2x+1

2 . x =5
y = -4

3. y = x+6
y -6 =x

4 . y= 3x+ 4
y =3

Answers

1.
y=2x \n y=2x+1 \n \n2x=2x+1 \n2x-2x=1 \n0=1 \nnot \ true - no \ solution

2.
x=5 \ny=-4 \nalready \ solved - one \ solution

3.
y=x+6 \ny-6=x \n \ny=x+6 \ny=x+6 \n \nx+6=x+6 \nx-x=6-6 \n0=0 \ntrue - infinitely \ many \ solutions

4.
y=3x+4 \ny=3 \n \n3=3x+4 \n3-4=3x \n-1=3x \nx=-(1)/(3) \n \n(x,y)=(-(1)/(3),3) - one \ solution

The answer is 2 and 4.

Mark’s new car is a lemon. It breaks down within 6 months of purchasing the car. Mark cannot afford the repairs so he charges $2,000 in car repairs on the store account and plans on paying a minimum monthly fee of $50. The card carries a 25% Annual Percentage Rate (APR). How much are those car repairs really costing Brent and when will he pay off the amount owed?

Answers

The worth of the repairs is actually $3,686.25 and the amount will be paid off after 6.07 years. This is assuming that the APR is effective and compounded per year.
The $50 can be converted to a Future Value per year before the rest of the given can be used.
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