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Nata [24]
3 years ago
5

Dani says she is thinking of a secret number. As a clue, she says the number is the least whole number that has three different

prime factors. What is danis secret number. What is the prime factorization
Mathematics
1 answer:
pychu [463]3 years ago
7 0

Answer:

30 = 2 x 3 x 5

Step-by-step explanation:

The secret number is the least whole number that has three different prime factors. Since, this is the least whole number it should have the 3 smallest prime numbers as its factors.

The 3 smallest prime numbers are: 2, 3 and 5

The number that will have 2, 3 and 5 as its only factors will be the least whole number with 3 different prime factors.

So, the secret number  must be = 2 x 3 x 5 = 30

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A movie theater offers popcorn in two different containers for the same price. One container is a trapezoidal prism with a base
g100num [7]

Answer:

Triangular prism is better deal as the volume of triangular prism is greater.

Step-by-step explanation:

Consider the provided information.

The volume of prism is: V=Bh

Where B is the base area and h is the height of the prism.

It is given that the trapezoidal prism with a base area of 33 square inches and a height of 4 inches.

The volume of the trapezoidal prism is:

V=33(4)\\V=132

Hence, the volume of trapezoidal prism is 132 in³.

Now calculate the volume of triangular prism with a base area of 34 square inches and a height of 5 inches.

The volume of the triangular prism is:

V=34(5)\\V=170

Hence, the volume of the triangular prism is 170 in³.

Triangular prism is better deal as the volume of triangular prism is greater.

5 0
3 years ago
What is the distance between begin ordered pair 8 comma negative 3 comma 4 end ordered pair and begin ordered pair 6 comma negat
katen-ka-za [31]

Answer:

d = \sqrt{14} = 3.74...

Step-by-step explanation:

To find the distance between (8, -3, 4) and (6, -4, 1), use the distance formula for (x,y,z) points. It is very similar to (x,y) points.

d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2 - z_1)^2} \\d = \sqrt{(8 - 6)^2 + (-3--4)^2 + (4-1)^2} \\d = \sqrt{(2)^2 + (1)^2 + (3)^2} \\d = \sqrt{4 + 1 + 9}\\ d = \sqrt{14} = 3.74...

5 0
3 years ago
24) sin x = 1/3<br> Find cos x.
liq [111]

Answer:

\frac{2\sqrt{2} }{3}

Step-by-step explanation:

The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;

sin x = ( opposite / hypotenuse)

The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;

The adjacent side would be;

\sqrt{9-1}=\sqrt{8}=2\sqrt{2}

The cosine of an angle is given as;

cos x = (adjacent side / hypotenuse)

Therefore, the cos x would be;

\frac{2\sqrt{2} }{3}

6 0
2 years ago
Read 2 more answers
360,000 = X% of 4000000
shutvik [7]
Answer:9%

360,000 / 4000000=.09

.09x100= 9%
6 0
2 years ago
Read 2 more answers
Warm-Up
Serjik [45]

Answer:

using the formula

we replace the coordinates

the we calculate

the answer will be square 100 which will give us 10

5 0
3 years ago
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