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Ede4ka [16]
2 years ago
15

Find the volume of the following square-based pyramid.

Mathematics
1 answer:
Alex Ar [27]2 years ago
3 0

Answer:

484

Step-by-step explanation:

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LUCKY_DIMON [66]
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7 0
3 years ago
You construct a budget to determine how much money you will need to start your own catering business. You take your savings of $
tatiyna

Answer:

Compound interest is the best.

Step-by-step explanation:

Simple interest is that which is not added to the initial capital once the term of the investment or credit has expired.

Compound interest is that which is added to the initial capital at the end of the investment or credit.

Simple interest:

I= C x i x t

15,000 * 0.05 * 5 = $ 750

Compound interest:

Cf= Ci (1+i)ᵗ

Cf = 15,000 * (1.039)^5 = $ 18,162.22

So, if Cf - Ci = I -> 3,162.22 is the compound interest.

8 0
3 years ago
35 solve the following syste
blondinia [14]

Part A: The solution is (-0.923,5.692)

Part B: The point (3,7) is not in the solution set.

Explanation:

Part A: The given inequalities are 3 x+4 y>20 and x

The solution can be determined by solving the two inequalities by substitution method.

Changing inequalities to equality, we have,

x=3 y-18 and 3 x+4 y=20

Let us substitute x=3 y-18 in the equation 3 x+4 y=20 , we get,

3 (3y-18)+4 y=20

   9y-54+4y=20

                  13y=74

                     y=5.692

Substituting y=5.692 in x=3 y-18, we get,

x=3 (5.692)-18

  =17.076-18

x=-0.923

Thus, the solution set is (-0.923,5.692)

Part B: Now, we shall determine whether the point (3,7) is in the solution set.

Let us substitute the point (3,7) in the inequalities 3 x+4 y>20 and x, we get,

3 (3)+4 (7)>20

      9+28>20

            37>20

Also, substituting (3,7) in x, we get,

3

3

3

Since, the point (3,7) does not satisfy one of the inequality x , the solution set does not contain the point (3,7)

Thus, the point (3,7) is not in the solution set.

8 0
3 years ago
Neil wants to join three pieces of metal to form a right triangle. which of the following lengths could be used? please use step
vichka [17]

Answer: G. 12.5, 7.5, 10

Step-by-step explanation:

To determine the lengths of metal that could be used to form the tight angle triangle, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

The hypotenuse is the longest side while the opposite and adjacent sides are the shorter side. Therefore,

F.

8² = 4² + 4²

64 = 16 + 16 = 32

A right angle triangle cannot be formed because they are not equal.

G.

12.5² = 7.5² + 10²

156.25 = 56.25 + 100 = 156.25

A right angle triangle can be formed because they are equal.

H.

23² = 11² + 9²

529 = 121 + 81 = 202

A right angle triangle cannot be formed because they are not equal.

J.

96² = 12.5² + 6²

9216 = 156.25 + 36 = 192.25

A right angle triangle cannot be formed because they are not equal.

4 0
3 years ago
Adam drafts his favorite thing tractor on the scale drawing. The drawing scale is 3 inches for each foot. If the drawing is 20 i
dimaraw [331]
I believe it's 6.7. Not too sure though.
3 0
3 years ago
Read 2 more answers
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