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Vladimir79 [104]
3 years ago
11

What is the area of the circle if DF=20 in.

Mathematics
1 answer:
crimeas [40]3 years ago
4 0
We know that

DF is the diameter of the circle
so
radius r=DF/2----->20/2-----> r=10 in

area of the circle=pi*r²------> pi*10²-----> 100*pi in²-----> 314 in²

the answer is

100*pi in² or 314 in²
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a triangular flower bed needs a thin metal border all the way around it. The sides are 7 feet, 6 feet, and 9 feet long.
kotegsom [21]
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Hope this was helpful.

7 0
3 years ago
OAB is a sector of a circle of radius 12 cm Angle AOB= 60º Work out the length of the arc B. Give your answer in terms of pie.
Debora [2.8K]

Answer:

Since 60° is one sixth of the entire circle (360°) it means that the length of arc B is 1/6 th of the circumference.

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3 0
3 years ago
What is the fifth term of the geometric sequence? 5, 15 , 45, ...
Virty [35]

The geometry sequence has the equation a(n)=5(3^{n-1}).

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answer: 405

6 0
3 years ago
Point S is on line segment RT. Given RS = 4x – 10, ST = 2x – 10, and
borishaifa [10]

Answer:

The numerical length of RS is 22 units

Step-by-step explanation:

∵ Point S is on the line segment RT

→ <em>That means S divide RT into two parts RS and ST</em>

∴ RS + ST = RT

∵ RS = 4x - 10

∵ ST = 2x - 10

∵ RT = 4x - 4

→ <em>Substitute them in the statement above</em>

∴ 4x - 10 + 2x - 10 = 4x - 4

→ <em>Add the like terms in the left side</em>

∴ (4x + 2x) + (-10 + -10) = 4x - 4

∴ 6x + (-20) = 4x - 4

∴ 6x - 20 = 4x - 4

→ <em>Add 20 to both sides</em>

∴ 6x -20 + 20 = 4x - 4 + 20

∴ 6x = 4x + 16

→ <em>Subtract 4x from both sides</em>

∴ 6x - 4x = 4x - 4x + 16

∴ 2x = 16

→ <em>Divide both sides by 2 to find x</em>

∴ \frac{2x}{2}=\frac{16}{2}

∴ x = 8

→ <em>Substitute the value of x in Rs to find its length</em>

∵ RS = 4(8) - 10

∴ RS = 32 - 10

∴ RS = 22 units

The numerical length of RS is 22 units

3 0
3 years ago
What is the sum of the arithmetic sequence 8, 14, 20 …, if there are 24 terms? 1,842 1,844 1,846 1,848?
777dan777 [17]

=  \frac{24}{2} (2(8) + 23(6))
= 12(16 + 138)
= 12(154)
= 1848
6 0
4 years ago
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