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lubasha [3.4K]
3 years ago
14

The circumference of a circle is 23π m. What is the area, in the square meters? Express you answer in terms of pi

Mathematics
2 answers:
seraphim [82]3 years ago
8 0

Answer:

<h2>132.25π  m²</h2>

Step-by-step explanation:

The circumference of a circle is 23π

On the other hand, The circumference of a circle = 2×π×r ; where r is the radius.

then

by equating the last two expressions we get: 23π = 2πr then r = 23/2

then

the area = π × r² = (23/2)²×π = (132.25)×π

sesenic [268]3 years ago
6 0

Answer:

132.25π  m²

Step-by-step explanation:

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ivolga24 [154]

\frac{5(u^{-3})^2}{2u^8} =\frac{5u^{-6} }{2u^8} = \frac{5}{2} u^{-6-8} =\frac{5}{2} u^{-14} =\frac{5}{2u^{14} }

Hope that helps!

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2 years ago
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In the last two years, Mari grew 2 1/4 inches, Kim grew 2.4 inches, and Kate grew 2 1/8 inches. Write the amounts they grew in o
Gennadij [26K]
First, let's turn the fractions into decimal form so you can see the answer, more clearly. 
2 \frac{1}{4} = 2.25
2.4 = 2.4
2 \frac{1}{8} = 2.125

Now, after looking at the decimals, we can see which decimals are the biggest. They would order, from least to greatest, like this. 
1)  2.4
2) 2.25
3) 2.125

I hope this helps!

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3 years ago
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Brad and sally made a total of 31 cakes for the school bake sale. Sally made 7 fewer cakes than brad. How many cakes did brad ma
Anvisha [2.4K]

Answer:

brad made 19 cakes, sally made 12

Step-by-step explanation:

5 0
3 years ago
How do you solve this?
navik [9.2K]

Answer:

62

Step-by-step explanation:

Since you know that JK + KL = JL, this would be:

27 + 3x - 1 = 5x + 2

Now, solve this equation:

combine like terms first

26+3x=5x+2

subtract 3x from both sides

26 = 2x+2

subtract 2 from both sides

24 = 2x

divide both sides by 2

12 = x, x= 12

Since you want to find JL and JL = 5x + 2, plug x = 12 into that equation.

JL = 5* 12 + 2\\JL = 60 + 2\\JL = 62

7 0
3 years ago
1. To the nearest degree, find the measure of angle A.
Assoli18 [71]

Answer:

(1) Option A is correct , The measure of angle A = 26°

(2) Option D is correct, The measure of angle B  =70°

Step-by-step explanation:

(1)

In a right angle triangle figure-1 ,

* Hypotenuse(H) is always opposite the right angle and it is always the longest side of the triangle.

* Adjacent side (B) is the non-hypotenuse side that is next to a given angle A.

* Opposite side(P) is across from a given angle A.

To find the Angle A we use the Cosine ratio:

Cosine ratio states that the ratio of the adjacent side of a right triangle to the hypotenuse.

By definition of cosine ratio we have;

\cos A = \frac{B}{H}                      ....[1]

In the figure - 1 we have B = 18 in and H = 20 in

substitute these in [1] to find angle A

\cos A =\frac{18}{20} =\frac{9}{10} = 0.9

or

A = cos^{-1} (0.9)

⇒ A \approx 26^{\circ}

therefore, the measure of angle A is,  26^{\circ}

(2)P

In figure -2

Find the measure of angle B.

First find the side BC, using Pythagoras theorem;

Pythagoras theorem states that in the right angle triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Apply Pythagoras theorem in rt. angle ABC;

AB^2 = AC^2+BC^2

Substitute the values of AB = 5.1 cm and AC =4.8 cm to solve for BC

(5.1)^2=(4.8)^2 +BC^2

26.01 = 23.04+BC^2

Simplify:

BC^2 = 2.97 or

BC = \sqrt{2.97} =1.723 cm

Now, find the angle B, using tangent ratio;

Tangent ratio states that the ratio of the Opposite side of a right triangle to the adjacent side.

\tan B = \frac{AC}{BC} =\frac{4.8}{1.732} =2.772

B = \tan^{-1} (2.772) \approx 70^{\circ}

Therefore, the measure of angle B is; 70^{\circ}.

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3 years ago
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