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g100num [7]
4 years ago
12

List all the factors of 72, and tell whether it is prime or composite: List all the factors of 31, and tell whether it is prime

or composite:
Mathematics
1 answer:
Anarel [89]4 years ago
7 0

Answer:

72 composite number, 31 prime

Step-by-step explanation:

factors of 72: 1*72, 2*36, 3*24, 4*18, 6*12, 8*9

factors of 31: 1*31,

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Given a sphere with radius r, the formula 4r2 gives _____.
Tasya [4]

The answer is: The surface area of the sphere.

The explanations for this exercise is shown below:

By definition, the surface area of a sphere is four times the area of a circle.

You have that the area of a circle is:

A=\pi r^{2}

Where r is the radius of the circle.

Therefore, to calculate the surface area of a sphere with radius r, you only need to multiply the equation shown above by four, as following:

SA=4\pi r^{2}

8 0
3 years ago
Find the amount of time needed for the sinking fund to reach the given accumulated amount. (Round your answer to two decimal pla
tatiyna

Answer:

8.82 years.

Step-by-step explanation:

Since, the monthly payment formula is,

P=\frac{PV(r)}{1-(1+r)^{-n}}

Where, PV is the present value of the loan,

r is the rate per month,

n is number of months,

Here,

PV =  $ 25,000,

Annual rate = 5.2 % = 0.052 ⇒ Monthly rate, r = \frac{0.052}{12}

( 1 year = 12 months )

P = $ 295,

By substituting the values,

295=\frac{25000(\frac{0.052}{12})}{1-(1+\frac{0.052}{12})^{-n}}

By the graphing calculator,

We get,

n = 105.84

Hence, the time ( in years ) = \frac{105.84}{12}=8.82

8 0
3 years ago
A rectangular metal plate is measured to be 7.6cm long and 3.1cm wide, both correct to one decimal place. What is the upper boun
Anarel [89]

Answer:

block is 1 cm long, 1 cm wide and. 1 cm high. ... 8 Put the length measurements in each list into ascending order (from smallest to largest)

ex...lang po

6 0
3 years ago
Daniel wants to prove that the interior angles of any triangle sum to 180°. He draws a line through one vertex parallel to the o
Serggg [28]

Alternate interior angles theorem.

<u>Step-by-step explanation:</u>

By using the definition of Alternate Interior Angles theorem, we can say that If a transversal cuts any two parallel lines, then those pairs of alternate interior angles are seems to be  congruent.

So in the given triangle,

∠4 ≅ ∠2

∠5 ≅ ∠3

Sum of all the angles in a triangle = 180°

∠1 + ∠2 + ∠3 = 180°

Since from the above congruence, we can write that

∠1 + ∠4 + ∠5 = 180°

Hence proved.

4 0
3 years ago
7. Find the slope of the line.
svetoff [14.1K]
Answer:

1/5

Explanation:

For every two minutes, 10 items get sold. 2/10 is equivalent to 1/5
4 0
3 years ago
Read 2 more answers
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