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TiliK225 [7]
2 years ago
6

a A hole in the shape of a hemisphere is carved into each face of a cube. The holes are identical and centered at the centre of

each face. The holes touch their neighbours at only one point. The cube has side 2. What is the diameter of each hole?​
Mathematics
1 answer:
morpeh [17]2 years ago
5 0

Diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.

<h3>What is a Hemisphere?</h3>

A hemishpere is half of a sphere. Thus, two hemispheres makes one full sphere.

Given the image as shown below, since the identical hemispheral holes are centered at the center of each fce and they touch each other at only one point, it means that two hemisphere meet to make one full sphere.

Therefore, the diameter of a full sphere = side length of cube.

Thus, diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.

Learn more about hemisphere on:

brainly.com/question/9280450

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3 years ago
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ki77a [65]

Answer:

x and y =   5√2.

Step-by-step explanation:

This is a 45:45:90 triangle so length of x = length of y.

In this triangle the ratio of the sides is 1:1:√2

Finding length of x and y:

1/√2 = x/10

√2x = 10

x = 10/√2

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3 years ago
PLZ HELP!
9966 [12]

Answer:

The area of the triangle is 36 square units

Step-by-step explanation:

First you can make the graph to set up the problem. You then plot the point 3,6 (A). You then reflect this over the Y axis which would be the point -3,6 (B). Point A is then reflected over the X axis to give you 3,-6 (C). You then multiply their total lengths 12 and 6 which is 72. Then you divide 72 by 2 because it is a triangle to get 36

8 0
3 years ago
An organisation buys a truck on hire purchase The cost is 500000 The contract states a deposit or 35% and 12 annual payments of
Mama L [17]

Answer:

total finance cost is 274064

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creditors reduced in year 8 is 21812.87

Step-by-step explanation:

given data

cost = 500000

rate 35%

installment = 12

annual payment = 49922

to find out

the total finance cost and interest is charged in 5 year and creditors reduced in year 8

solution

we know cost is 500000 so down payment will be

payment = 35% of 500000 = 35/100 × 500000

so payment = 175000

and 12 installment purchase price is 12 ×  49922

purchase price = 599064

so total finance cost is payment + purchase price - cost

finance cost = 175000 + 599064 - 500000

so total finance cost is 274064

and

we know in 1 to 12 digit sum is 78

so interest in 5 year

interest = 5/78 of total finance cost

interest = 5/78 × 274064

interest in 5 year = 17568.21

and

interest in 8 year

interest = 8/78 of total finance cost

interest = 8/78 × 274064

interest in 8 year = 28109.13

so

creditors reduced in year 8  = 49922- 28109.13

creditors reduced in year 8 is 21812.87

4 0
3 years ago
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Sav [38]

Step-by-step explanation:

x+3=8

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