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Mandarinka [93]
3 years ago
13

Points A and B are on the different sides of a line 1, the distance between point A and the line lis 10 in, the distance between

point B and line l is 4 in. What is the distance between the midpoint O of the segment AB and the line l?

Mathematics
1 answer:
givi [52]3 years ago
7 0

Answer: Distance between O and the line 1 is 3 inches.

Explanation:

Since we have given that

Distance between point A and the line 1 = 10 inches

Distance between point B and the line 1 = 4 inches

Total length of segment AB is given by

10+4=14\ inches

Since O is midpoint of the line segment AB.

so, AO is given by

\frac{14}{2}=7\ in.

Now, Distance between O and the line 1 is given by

10-7=3\ in.

Hence, Distance between O and the line 1 is 3 inches.

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A student bought a piece of hard candy that is in the shape of a sphere. The candy has a radius of 3 centimeters.
worty [1.4K]

Volume of piece candy is 113.04 cubic centimeter

<em><u>Solution:</u></em>

A student bought a piece of hard candy that is in the shape of a sphere

<em><u>The candy has a radius of 3 centimeters</u></em>

Radius = 3 cm

Use 3.14 for π

<em><u>Volume of sphere is given as:</u></em>

V = \frac{4}{3} \times \pi \times r^3

Where, "r" is the radius of sphere

<em><u>Therefore, volume of candy is given as:</u></em>

V = \frac{4}{3} \times 3.14 \times 3^3\\\\V = 4 \times 3.14 \times 3^2\\\\V = 12.56 \times 9\\\\V = 113.04

Thus volume of candy is 113.04 cubic centimeter

3 0
3 years ago
Find the circumference of the pizza to the nearest hundredth.<br> 18 in.
fgiga [73]

Answer:

124.59

Step-by-step explanation:

The third digit of right of decimal point is 6

The second digit after decimal point is 8 which is greater than 5

So add 1 to 8

124.59

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8 0
2 years ago
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Kareem cuts 12 identical circles of pastry form a 30cm by 40cm sheet. Find the area of pastry {which remains}
ch4aika [34]
<h3>Exact Area = 1200 - 300pi   square cm</h3><h3>Approximate Area = 257.522203923062 square cm</h3>

Work Shown:

The area of the rectangle is 40*30 = 1200 square cm

Note how we have 4 circles along the horizontal dimension which is 40 cm, so each diameter is 40/4 = 10 cm, and the radius is 10/2 = 5 cm

Each circle has an area of pi*r^2 = pi*5^2 = 25pi

There are 4*3 = 12 circles, so the circle areas combine to 12*25pi = 300pi

Using a calculator, we find that 1200 - 300pi = 257.522203923062 approximately. Round this however you need to.

6 0
2 years ago
Read 2 more answers
Someone please help asap
BigorU [14]
The third one is the answer
6 0
2 years ago
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