Find the slope of the line. Explain or show your reasoning.

What number between 1 and 100 have 12 factors

kotykmax [81]

Answer:

Your answer is:

60= 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

84= 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

90= 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

96= 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The second-highest number of factors are 48 and 80, containing 10 factors each.

7 0

3 years ago

Check all the statements that are true:

Dahasolnce [82]

Answer:

The true statements are;

A, B, G, H, I, J

Step-by-step explanation:

To answer the question, we test each option as follows

A. If a and b both divide c, then ab divides c².

The above statement is true as c/a exists,

c/b exits therefore c²/ab = c/a×c/b

B. If p and q are distinct primes, then p2q2 has exactly 11 positive divisors.

The above statement is true as p² and q² each have 3 positive divisors, therefore, p²q² will also have pq and p²q² as possible divisors, therefore, true

C. If p and q are distinct primes, then p+q is prime as well.

The above statement is not correct as 5 + 7 = 12 an even number

D. If a divides b and c divides d, then a+c divides b+d.

The above statement is not correct as

8 is divisible by 2 and

9 is divisible by 3

but 17 is not divisible by 5

E. If p is prime, then so is p+2.

The above statement is not correct as 7 + 2 = 9 which is divisible by 3

G. If a and b both divide c, and a and b are relatively prime, then ab divides c.

The above statement is true as both a and b are factors of c

H. There are infinitely many prime numbers.

The above statement is true as there are infinitely many numbers

I. If p is prime, then p2 has exactly 3 positive divisors.

The above statement is true

1, p and p²

J. There are three consecutive odd numbers that are prime.

The above statement is true

3, 5, 7.

4 0

3 years ago

BRAINLIEST AND 20 POINTS ANSWER ASAP PLZ

galben [10]

R = m - v + 2, where r = faces, v = vertices, and m = edges

r = 28 - 13 + 2
r = 15 + 2
r = 17, so the first answer is correct.

7. The surface area of a cone is A = pi*r*sqrt(r^2 + H^2)

A = pi*(7)(sqrt(49 + 1849)
A = pi*(7)(43.57)
A = pi*305 = 959 m^2, so the first answer is correct.

13. The volume of the slab is V = HLW
V = (5 yards)(5 yards)(1/12 yards)
V = 25/12 cubic yards

So it costs $46.00*(25/12) = $95.83 of total concrete. The third answer is correct.

21. First, find the volume of the rectangular prism. V = HLW
V = (15 cm)(5 cm)(7 cm)
V = 525 cm^3

Next, find the volume of the pyramid. V = 1/3(BH), where H is the height of the pyramid and B is the area of the base of the pyramid. Note that B = (15 cm)(5 cm) = 75 cm^2

V = (1/3)(75 cm^2)(13 cm)
V = 325 cm^3

Add the two volumes together, the total volume is 850 cm^3. The fourth answer is correct.

22. The volume of a square pyramid is V = 1/3(S^2)(H), where S is the side length and H is the height.

V = (1/3)(20^2 in^2)(21 in)
V = 2800 in^3

Now that we know the volume of this pyramid, and that both pyramids have equal volume, we plugin our V to the equation for the volume.

2800 = (1/3)(84)(S^2)
2800 = 28S^2
100 = S^2
<span> 10 in = S, so we have a side length of 10 in, and the first answer is correct. </span>

3 0

3 years ago

An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each

LenaWriter [7]

Pyramid
volume=base area times height times 1/3
or
length times widht times height times 1/3
base area=3
3 times height iems 1/3
height=4
3 times 3 times 1/3=4 times 1/3 times 3=4 times 1
each pyramide=4 in volume
so
x pyramids =alabaster volume
divide by pyramids
x=alabaster/pyrimds
alabaster=576
pyramids=4
divide
576/4=144
the artis can make 144 pyramids

5 0

3 years ago

Read 2 more answers

In trapezoid ABCD, AC is a diagonal and ∠ABC≅∠ACD. Find AC if the lengths of the bases BC and AD are 12m and 27m respectively.

xz_007 [3.2K]

Answer:

Length of diagonal is 18 m

Step-by-step explanation:

Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.

Let the length of diagonal be x m

In ΔABC and ΔACD

∠ABC=∠ACD (∵Given)