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3 years ago

Find the length of the side x in the simplest radical form with a rational denominator

Mathematics

1 answer:

sammy [17]3 years ago

4 0

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Answer is 2

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It's geometry please help.

oksano4ka [1.4K]

Answer:

BC = 22

Step-by-step explanation:

BD = 67

Bc = 3x - 2

CD = 4x + 13

BC + CD = BD (Given)

3x - 2 + 4x + 13 = 67

3x + 4x -2 + 13 = 67

7x + 11 = 67

7x = 67 - 11

7x = 56

x = 56 ÷ 7

x = 8

now instead of x put 8

Bc = 3x - 2

BC = 3(8) -2

BC = 24 -2

BC = 22

4 0

3 years ago

Which of the following statements are equivalent to the statement "Not all cats do not like having their belly rubbed"?

notka56 [123]

Answer:

“Not all cats dislike having their belly rubbed”

Step-by-step explanation:

Just try not to repeat words because it is confusing and wordy.

6 0

3 years ago

Russell wants to purchase a computer that costs $1575. With a larger monitor, the cost of the computer will go up 8%. How much w

lesya [120]

First, we need to find 8% of 1,575. To do so we have to divide 8 by 100, then multiply the quotient by 1,575.

8% ⇒ 0.08

1,575 × 0.08 = 126

Now add the 8% increase to the original cost.

1,575 + 126 = 1,701

<h2>Answer:</h2>

<u>Option 1: </u><u>$1,701</u><u>.</u>

I hope this helps :)

8 0

3 years ago

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 9-inch perimeter A = sq. in.

Alona [7]

Answer:

$3.9 in^2$

Step-by-step explanation:

The area of a triangle is given by

$A=\frac{1}{2}bh$

where

b is the base

h is the height

Here we have an equilateral triangle, which has the 3 sides of the same length.

Let's call L the length of one side.

We know that the perimeter of the triangle is

p = 9 in

The perimeter is the sum of the three sides, so:

$p=L+L+L=3L$

Therefore, we find the length of the side:

$L=\frac{p}{3}=\frac{9}{3}=3 in$

Therefore the length is the base of the triangle,

$b=L$

The height can be calculated by considering half triangle: the hypothenuse is equal to L, while one side is equal to half the base (b/2), therefore the height is given by Pythagorean's theorem:

$h=\sqrt{L^2-(\frac{b}{2})^2}=\sqrt{3^2-(\frac{3}{2})^2}=2.6 in$

Therefore, the area of the triangle is:

$A=\frac{1}{2}(3)(2.6)=3.9 in^2$

5 0

3 years ago

A fashion designer wants to know how many new dresses women buy each year. Assume a previous study found the standard deviation

horsena [70]

Answer:

649

Step-by-step explanation:

Given that

Mean number of dresses is 5.5

Standard deviation of the sample, S.D is 1.3

Margin of error, M.E is 0.1

Level of confidence is 95% or 0.95

The formula for margin of error, M.E is

Z * (S.D/√n) , where

Z = Value for level of confidence which is 1.96

Proceeding further, we have

0.1 = 1.96 * (1.3/√n)

0.1 = 2.548 / √n, making √n subject of formula, we have

√n = 2.548 / 0.1

√n = 25.48, squaring both sides

n = 25.48²

n = 649.23

Therefore the number of sample size we're looking for is n = 649.23, when rounded to the nearest integer, we have it to be 649

4 0

3 years ago