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Verizon [17]
3 years ago
14

Find volume with full working out ty

Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0

Answer:

3000 cm³

Step-by-step explanation:

Volume = Difference of Volumes of the two pyramids

Volume, V1, of the larger pyramid with tip at L:

Base area = area of EFGH = 10²

Height = ML = 15

V2 = ⅓×(10²)×15 = 4000

Volume, V2, of the smaller pyramid with tip at L:

Base area = area of = 10²

Height = OL = OM+ML = 15+15 = 30

V1 = ⅓×(10²)×30 = 1000

Volume = V1 - V2

= 4000-1000 = 3000 cm³

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3 years ago
I don’t know how to work i this out
snow_tiger [21]
Equation of the line:

y = -0.4x + 1.6

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y =
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5
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3 years ago
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Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the lengt
brilliants [131]

Answer:

The answer is below

Step-by-step explanation:

Calvin school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles west of his school to the sport complex.

a) What is the length of a straight line between calvins house and the sports complex? Round to the nearest tenth.

b) Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.

Solution:

a) Calvin school, his house and the sport complex form a right angled triangle. The hypotenuse of the right angled triangle is the length of the line between Calvin's house and the sport complex. Let the length of the line between Calvin's house and the sport complex be x.

Using Pythagoras law for right angled triangle, we get that:

x² = 2.3² + 1.8²

x² = 8.53

x = √8.53

x = 2.9 miles to the nearest tenth

b) This forms a right angled triangle with the hypotenuse = length of a straight line between Calvin's house and the music school. one side of the triangle = 1.8 miles and the other side = 3.7 - 2.3 = 1.4 miles.

Let x = length of a straight line between Calvin's house and the music school. Hence:

x² = 1.8² + 1.4²

x² = 5.2

x = √5.2

x = 2.3 miles to the nearest tenth

4 0
3 years ago
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