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Firlakuza [10]
2 years ago
13

Write the prime factorization of 16. Use exponents when appropriate and order the factors from least to greatest (for example, 2

235).
Mathematics
1 answer:
sertanlavr [38]2 years ago
5 0

Answer:

2 * 2 * 2 * 2

2^4

Step-by-step explanation:

16= 4 * 4 = (2 * 2) * (2* 2)

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In ∆abc, what is the value of cos b?
Rzqust [24]
c^2=a^2+b^2-2ab\cos\beta\\\\2ab\cos\beta=a^2+b^2-c^2\\\\\boxed{\cos\beta=\dfrac{a^2+b^2-c^2}{2ab}}
4 0
3 years ago
7x + 2y = 7<br> -14x + 2y = -11<br> Solve by substitution
kvasek [131]

Answer:

x = 6/7, y = 1/2

Step-by-step explanation:

7x + 2y = 7

-14x + 2y = -11

1) 7x + 2y = 7

2y = 7 - 7x

2) -14x + 2y = -11

-14x + 7 - 7x = -11

- 21x = -11-7

- 21x = - 18

x = 18/21 = 6/7

3) 2y = 7 - 7x = 7 - 7*(6/7) = 7 - 6 = 1

2y = 1

y = 1/2

7 0
3 years ago
What is the area of this figure? Round to the tenth if necessary.
Julli [10]

Answer:

<h3>b) 850.1 centimeters.</h3>

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

a=\pi r^2/2

<u>3.14 will be used for pi!</u>

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

a=lw

Now, let's solve.

The diameter of the semicircle is 32 centimeters.

To find the radius of a semicircle, divide the diameter by 2.

32/2=16

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

\pi 16^2/2=401.92

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

14*32=448.

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

401.92+448

=849.92

The final step is to round 849.92 to the nearest tenth.

Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'

I, therefore, believe the area of this figure is 850.1 centimeters.

3 0
3 years ago
The size of a bicycle is determined by the diameter of the wheel. You want a 20-in bicycle for your birthday. What is the area o
aliya0001 [1]

Answer:

314.16 in²

Step-by-step explanation:

If the diameter is 20", then the radius is 10" (1/2 the diameter).

Area of a circle is \pi r²

So, π 10² = 100π = 314.16 in²

8 0
3 years ago
Bagi bagipoin semoga ada yang dapet ​
SSSSS [86.1K]

Answer:

ok! thank u

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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