Identify the real fifth root(s) of -32

You are enlarging a photograph to make a poster. The posterwill be similar to the original photograph. The photograph is6 inches

natka813 [3]

Answer:

Poster’s perimeter = 150 in

Step-by-step explanation:

Given:

Width of poster = 2.5 ft = 2.5 × 12 = 30 in

Find:

Poster’s perimeter.

Computation:

Height of poster = [30×6]/4

Height of poster = 45 in

Poster’s perimeter = 2 [Width of poster + Height of poster]

Poster’s perimeter = 2 [30+45]

Poster’s perimeter = 2 [75]

Poster’s perimeter = 150 in

5 0

3 years ago

Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

10

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

5 0

3 years ago

Find x. Round your answer to the nearest tenth of a degree and show work.

Troyanec [42]

Answer:

35.0

Step-by-step explanation:

14+21 equals 35 and then round to the nearest tenth of a degree and came up with 35.0.

7 0

3 years ago

hi umm can some help me understand how to do this you don't need to tell me the answer gust tell me how to do it plesss I will g

gulaghasi [49]

To find the area of a trapezoid, it’s 1/2(base 1 + base 2) x height.
so in this case, base 1 is 16 (add 12+2+2) (the top one) and base 2 is 12 (the bottom one) and the height is 9.
you input all the values in the formula and you get 126in.
hope this helped:)

8 0

3 years ago

HELP FAST PLS !!!!

fgiga [73]

Answer:

1 True

2 c>−4

3 x< 3/2

Step-by-step explanation:

6 0

3 years ago

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