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natima [27]
3 years ago
9

Find the area of the sector with a central angle of 60° and a radius of 5 inches. round to the nearest tenth.

Mathematics
2 answers:
slavikrds [6]3 years ago
7 0
Area of sector=thita/360 ×pi×r^2
=60/360×22/7×5×5
=275/21
=13.0952
=13.1 inch^2
Snowcat [4.5K]3 years ago
3 0

Answer:

the answer is 13.1 inches

Step-by-step explanation:

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If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.
harina [27]

Answer:

Perimeter = 38.6

Step-by-step explanation:

Given

A\ B = 13

B\ F = 9

F\ C = 5.6

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

Perimeter = A B + B\ C + A\ C

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

B\ C^2 = B\ F^2 + F\ C^2

Substitute values for BF and FC;

B\ C^2 = 9^2 + 5.6^2

B\ C^2 = 81 + 31.36

B\ C^2 = 112.36

B\ C^2= \sqrt{112.36

B\ C = 10.6

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

A\ B^2 = B\ F^2 + A\ F^2

Substitute values for B F and A B;

13^2 = 9^2 + A\ F^2

169= 81 + A\ F^2

A\ F^2 = 169 - 81

A\ F^2 = 88

A\ F = \sqrt{88

A\ F = 9.4

Since F lies on line A C:

A\ C = A\ F + F\ C

A\ C = 9.4 + 5.6

A\ C = 15.0

Recall that:

Perimeter = A\ B + B\ C + A\ C

Perimeter = 13 + 10.6 + 15.0

Perimeter = 38.6

<em>Hence, the perimeter is 38.6</em>

3 0
3 years ago
14/1 ÷ 3/8 = please show work and answer fast​
jarptica [38.1K]

Answer: 37 1/3

Step-by-step explanation:

14/1÷3/8=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

14/1 × 8/3=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

14×8/1×3 = 112/3

This fraction cannot be reduced.

The fraction

112/3

is the same as

112÷3

Convert to a mixed number using

long division so

112/3=37 1/3

Therefore:

14/1 ÷ 3/8=37 1/3

5 0
3 years ago
Calculate the volume and area of ​​a rectangular prism that measures 5cm x 9cm and 11cm high at the base
gogolik [260]

Answer:

495 cm3

Step-by-step explanation:

5x9x11

3 0
3 years ago
If f(x) = k(x - 2)^2, where k is positive, what is the effect on the graph of f(x) as k increases
pashok25 [27]
The answer is B. Lana Rhoades
4 0
3 years ago
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2. Every month, Jenny and Gopal ________ the orphanages in China. They have been to five orphanages so far.
aleksandr82 [10.1K]

Answer:

2. A

3. B

4. B

5. B

6. C

7. C

8. B

9. D

10. C

6 0
3 years ago
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