The radius of a circle is 5 miles. What is the angle measure of an arc bounding a sector with area 10 square miles?

Anna007 [38]

B because k is not a specified number

3 0

3 years ago

In ΔKLM, the measure of ∠M=90°, the measure of ∠K=78°, and KL = 35 feet. Find the length of MK to the nearest tenth of a foot.

Margaret [11]

Answer:

7.3 feet

Step-by-step explanation:

osK=

hypotenuse

adjacent

=

35

x

\cos 78=\frac{x}{35}

cos78=

35

x

35\cos 78=x

35cos78=x

Cross multiply.

x=7.2769\approx \mathbf{7.3}\text{ feet}

x=7.2769≈7.3 feet

Type into calculator and round to the nearest tenth of a foot.

4 0

2 years ago

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What is the midpoint of the line segment with endpoints (-5.5, -6.1) and (-0.5,9.1)?

umka21 [38]

(-3, 1.5)....simply add the x coordinates together, divide them by two, and then do the same for the y coordinates.

4 0

3 years ago

A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.

scZoUnD [109]

Answer: The required ratio will be

$84:1034$

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

$2x=30\\\\x=\frac{30}{2}=15\ inches$

So, Length of AD becomes

$3x=3\times 15=45\ inches$

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

$\frac{30}{2}=15\ inches$

So, Area of semicircle along AB and CD is given by

$2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2$

Radius of semicircle along AD is given by

$\frac{45}{2}=22.5\ inches$

Area of semicircle along AD and BC is given by

$2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2$

And the combined area of the semicircles is given by

$\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2$

Area of rectangle is given by

$Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2$

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

$1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034$

Hence, the required ratio will be

$84:1034$

8 0

2 years ago

In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if i

Advocard [28]

The sequence is infinite because the exponents 2 ,3 ,4 ,... go on infinitely.

That next number in the equence is obtained by multiplying each term by ab.

the sixth term is 2a^(6)b^(5)

3 0

2 years ago

Read 2 more answers

The radius of a circle is 5 miles. What is the angle measure of an arc bounding a sector with area 10​ square miles?

The radius of a circle is 5 miles. What is the angle measure of an arc bounding a sector with area 10 square miles?