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3 years ago

For males to enter the United States Air Force Academy, located in Colorado

Mathematics

1 answer:

Leto [7]3 years ago

8 0

Answer:

Some research has shown that culture and context-specific gender roles have a stronger influence on emotional expression than do biological factors. ... Another study suggests that people tend to exhibit more intense negative facial expressions in solitary conditions, and smile more when others are present.

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Recall that in a 30 – 60 – 90 triangle, if the shortest leg measures x units, then the longer leg measures xStartRoot 3 EndRoot

Brums [2.3K]

The area of the shaded region is $\rm (150\sqrt{3} \ - 75\pi ) \ feet^2$ option first is correct.

It is given that a circle is inscribed in a regular hexagon with sides of 10 feet.

It is required to find the shaded area (missing data is attached shown in the picture).

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

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have a hexagon with a side length of 10 feet.

We know the area of the hexagon is given by:

$\rm A = \frac{3\sqrt{3} }{2} a^2$ where a is the side length.

$\rm A = \frac{3\sqrt{3} }{2} 10^2$ ⇒ $150\sqrt{3}$ $\rm feet^2$

We have the shortest length = x feet and from the figure:

2x = 10

x = 5 feet

The radius of the circle r = longer leg

$\rm r = x\sqrt{3} \Rightarrow 5\sqrt{3}$ feet

The area of the circle a = $\pi r^2$ ⇒ $\pi (5\sqrt{3} )^2 \Rightarrow 75\pi \ \rm feet^2$

The area of the shaded region = A - a

$\rm =(150\sqrt{3} \ - 75\pi ) \ feet^2$

Thus, the area of the shaded region is $\rm (150\sqrt{3} \ - 75\pi ) \ feet^2$

Learn more about circle here:

brainly.com/question/11833983

7 0

2 years ago

What is the answer to 9x8 2/3

Ira Lisetskai [31]

The answer is 78. This is because you change 8 2/3 into a improper fraction which is 26/3. Then do 26/3×9/1. You should cross cancel so cancel out 3 and change it into 1 and change 9 into 3. So now your problem is 26×3=78.
~JZ
Hope it helps.

7 0

4 years ago

Read 2 more answers

Determine the area of the following shapes.<br> a. 144 in<br> b. 154 in<br> c. 164 in

ArbitrLikvidat [17]

A) 144 in

is your answer. good luck

6 0

2 years ago

Angle P is an acute angle.

TEA [102]

A acute angle is always less than 90 degrees. So the answer is A.

6 0

3 years ago

An olympic-size swimming pool is a rectangle that measures 50 meters in length and 25 meters in width. Make a scale drawing of a

Veronika [31]

Answer:

Length: 10 cm

Width: 5 cm

Step-by-step explanation:

8 0

3 years ago