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viva [34]
3 years ago
8

The volumes of two similar square pyramids is 128 and 250 meters respectively. The side length of the smaller pyramid is 8 meter

s. Determine the height of the larger pyramid.
Mathematics
1 answer:
Yuliya22 [10]3 years ago
6 0

Answer:

Height of bigger square pyramid = 3.072 meter

Step-by-step explanation:

Using equivalent ratios to find the side of the bigger square prism

128:8 = 250:X

X = (250 x 8) ÷ 128 = 15.625

Volume of a square pyramid = a x a x h/3

Hence to evaluate the height

250 = 15.625 x 15.625 x h/3

H = 3.072 meters

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8 km / 0.5 hr
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Which of the following fractions have repeating decimal representations? Which have terminating decimal representations?
natali 33 [55]

Repeating decimal representation will be 3/13, 7/24. Terminating decimal representation will be 3/16, 4/125.

<h3>What is decimal?</h3>

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The base-10 number system, arguably the most widely used number system, is referred to as decimal. The decimal number system consists of ten single-digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The number following nine is 10.

Here,

Repeating decimal representation,

=3/13, 7/24

Terminating decimal representation,

=3/16, 4/125

3/13 and 7/24 will be repeated in decimal form. The final two decimal places are 3/16 and 4/125.

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7 0
1 year ago
The sum of two numbers is 22. The difference is 6. What are the two numbers?
algol [13]

Answer:

Numbers are 14 and 8

Step-by-step explanation:

Let the 2 numbers be x and y.

Write 2 equations:

x + y = 22

x - y = 6

Solve by substitution:

x - y = 6

x = y + 6

Plug into the other equation:

(y + 6) + y = 22

2y + 6 = 22

2y = 16

y = 8

Plug into either equation:

x + 8 = 22

x = 14

Numbers are 14 and 8

7 0
3 years ago
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The total cost of 3 non member tickets and 5 member tickets
Natalija [7]
Huhhhh? Is this question complete?
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3 years ago
Find the cosine of both angle A and angle B.
Svetach [21]
We know that

cos A=adjacent side angle A/hypotenuse
adjacent side angle A=24 units
hypotenuse=26 units

cos A=24/26-----> 12/13

cos B=adjacent side angle B/hypotenuse
adjacent side angle B=10 units
hypotenuse=26 units

cos B=10/26------> 5/13

the answers are
cos A=12/13
cos B=5/13

cot A=adjacent side angle A/opposite side angle A
adjacent side angle A=24 units
opposite side angle A=10 units
cot A=24/10------> cot A=12/5

cot B=adjacent side angle B/opposite side angle B
adjacent side angle B=10 units
opposite side angle B=24 units
cot B=10/24------> cot B=5/12


8 0
3 years ago
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