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Nutka1998 [239]
3 years ago
8

Identify the area of the figure rounded to the nearest tenth.

Mathematics
1 answer:
nignag [31]3 years ago
6 0

Answer:

A = Ar - Ac = 220cm^{2} - 50.26 cm^{2}= 169. 7 cm^{2}

Step-by-step explanation:

This problem can be solved calculating the area of the full rectangle, and substracting the area of the circle that is in the center of the figure.

The formula we use to calculate the rectangle's area is:

Ar = b . h

Being b = 22 cm and h= 10 cm

Ar = 22 cm . 10 cm = 220 cm^{2}

So now, we have to calculate the area of the circle:

Ac = \pi . radius^{2}

Being the radius, the half of the circle's diameter. To know the diameter (distance between opposite points of the circle), we have to substrate the space that is occupied by the circle to the full lenght of the base of the rectangle. If we know that the full lenght of the base is 22 cm, and that the opposite lenght is only 14 cm (7 cm + 7 cm), then we know that the circle occupies 8 cm (22 cm - 14 cm).

So the diameter of the circle is  8 cm. That means that it's radius is 4 cm.

Ac = \pi . (4 cm)^{2} = \pi . 16cm^{2} = 50.26cm^{2}

So now we substract the area of the circle to the area of the full rectangle and we obtein the area of the figure.

A = Ar - Ac = 220cm^{2} - 50.26 cm^{2}= 169. 7 cm^{2}

A = figure's area, Ac = circle's area, Ar= rectangle's area.

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aleksklad [387]
The answer is A, yes his answer is reasonable because 6 times 0.74 is 44.4
4 0
2 years ago
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Find the length of an arc made by a 180-degree central angle in a circle with a 10ft radius
mixas84 [53]

Answer:

the length of an arc = 10π ft.

Step-by-step explanation:

The length of an arc with angle Θ and radius r will be equal r * Θ

note the angle must be in radian

Given: Θ = 180° = π  and radius = r = 10 ft.

<u>So, the length of the arc = π * 10 = 10π ft.</u>

8 0
3 years ago
Which formula can be used to find the nth term of a geometric sequence where the first term is 8 and the common ratio is -3
kirill [66]
Hello : 
<span>the nth term is : an= a1×q^(n-1)....... a1 = 8  and q = -3

</span>an= 8×(-3)^(n-1)<span>


</span>
8 0
3 years ago
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Explain how the Quotient of Powers Property was used to simplify this expression.
Strike441 [17]

Answer:

\frac{5^{4}}{25} = 25

Step-by-step explanation:

I'm not sure if you had a typographical error with this statement, "5 to the fourth power, over 25 = 52."

According to the <u>Quotient Rule of Exponents</u><u>:</u>

\frac{a^{m}}{a^{n}} = a^{(m-n)}

Method 1:

In order for you apply the Quotient Rule, the base must be the same. Since 5 is a factor of 25, then you could rewrite 25 as 5². Doing so will give you the following exponential expression:

\frac{5^{4}}{5^{2}} = 5^{(4 - 2)} = 5^{2} = 25

Method 2:

Even if you solve the given problem manually, you'd still get the same answer:

\frac{5^{4}}{25} = \frac{5*5*5*5}{25} = \frac{625}{25} = 25

Both methods produced the same result, proving that the correct answer is 25.

Please mark my answer as the Brainliest, if you find this helpful :)

3 0
2 years ago
Can you help me please
katrin2010 [14]

Answer:

1:) x=6

2:)x= -10

3:) x=8

4:)x=-4

Step-by-step explanation:

3 0
3 years ago
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