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2 years ago

Question:

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

6 0

The frame can hold a mirror with an area of 78.5 in².

The area for a circle of diameter D is given by the formula:

$A = pi*(D/2)^2$

Where pi = 3.14

Here we know that the diameter is 10 inches, replacing that in the area equation we can get:

$A = 3.14*(10in/2)^2 = 3.14(5in)^2 = 78.5 in^2$

So the frame can hold a mirror with an area of 78.5 in².

If you want to learn more about circles:

brainly.com/question/1559324

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A small plane and a large plane are 6.8km from each other, at the same altitude (height). From an observation tower, the two air

Lemur [1.5K]

Answer:

7.9km

Step-by-step explanation:

(a)See attached for the diagram representing this situation.

(b)

In Triangle ABC

$\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ$

Next, we determine the value of Angle B.

$\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ$

Finally, we find b.

$\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)$

The distance between the small plane and the observation tower is 7.9km.

8 0

3 years ago

How to find the area of a heptagon?

Leona [35]

Regular heptagonSolve for <span>area

</span>A= 7/4 x a^2 x cot(180 degrees/7)

https://www.google.com/search?sourceid=chrome-psyapi2&rlz=1C1ZQQI_enUS697US697&ion=1&espv=2&ie=UTF-8&q=area%20of%20a%20heptagon%20formula&oq=area%20of%20a%20heptagon&aqs=chrome.1.69i57j0l5.4065j0j7

https://www.google.com/search?sourceid=chrome-psyapi2&rlz=1C1ZQQI_enUS697US697&ion=1&espv=2&ie=UTF-8<span>&q=area%20of%20a%20heptagon%20formula&oq=area%20of%20a%20heptagon&aqs=chrome.1.69i57j0l5.4065j0j7</span>

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3 years ago

Savannah has an action figure collection. She keeps 57 of the action figures on her wall, which is 19% of her entire collection.

beks73 [17]

Answer:

She has a total of 300 action figures.

Step-by-step explanation:

19 : 100 = 57 : x

x = 100/19 * 57

x = 300

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The diameter of a circle passes through the middle

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