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3 years ago

The length of the diagonal of a rectangle is √181 inches. Which statement describes the length of the diagonal?

Mathematics

1 answer:

lakkis [162]3 years ago

4 0

Answer:

The correct option is (B).

Step-by-step explanation:

The length of the diagonal of a rectangle is $\sqrt{181}$ inches.

Compute the value of $\sqrt{181}$ inches as follows:

The number 181 is not a square of a whole number.

So, the square root of 181 must lie between two whole numbers.

Consider the following squares:

$12^{2}=144$

$13^{2}=169$

$14^{2}=196$

It is quite clear that the 181 lies between the square of 13 and 14.

So, it can be said that the square root of 181 is between the square of 13 and 14.

Thus, the length of the diagonal of a rectangle is between 13 and 14 inches.

The correct option is (B).

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ddd [48]

Answer:

Mean = 15.15

Standard deviation = 0.6062

Step-by-step explanation:

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a = 14.1

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a) Mean:

$\mu = \displaystyle\frac{a+b}{2}\\\\\mu = \frac{14.1+16.2}{2} = 15.15$

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4 0

3 years ago

Alliic

pochemuha

First, we need to solve the first equation in order to see what the options need to be equivalent to. our first step to solving this is to distribute -3 through the parenthesis
y + 5 = -3x + 3
next, move the constant to the right side and change its sign
y = -3x + 3 - 5
calculate the difference
y = -3x - 2
since we cant find x, your final solution for y is y = -3x - 2, x ∈ R
now that we know the solution to that equation, we can now solve the options listed to see which ones are equivalent.
first is y = -3x - 2, which is very simple to solve because y has already been found. since we know y and there is no solution for x, our answer to this equation is y = -3x -2, x ∈ R. since this is the exact same answer as our first equation, we know that the A is equivalent to y + 5 = -3(x - 1)
the next equation is also already solved for y and has no x, so the answer to this equation is y = -4x - 5, x ∈ R. since this is does not have the same answer that y + 5 = -3(x - 1) had, option B is not equivalent.
our next equation is 3x + y = -2 does not provide y for us, so we must solve it.
first, you need to move the variable to the right side and change its sign
3x = -2 - y
now divide both sides of the equation by 3
x = - 2/3 = y/3
write all the numerators above their common denominators
x = - 2 + y/3
since we dont know what y is, our final solution is
x = - $\frac{2+y}{3}$ , y ∈ R
since this answer does not match the answer we are looking for, option C is not equivalent.
finally, we must solve -4x + y = -5
the first step to solving this is to move the variable to the right side and change its sign
-4x = -5 - y
divide both sides of the equation by -4
x = 5/4 + y/4
now, write all the numerators above their common denominators
x = 5 + y/4
since we dont know what y is, our answer is x = $\frac{5+y}{4}$ , y ∈ R
since this is also not equivalent to y + 5 = -3(x - 1), our only answer is option A.
let me know if you have any further questions
:)

5 0

3 years ago

Which of the follow is true about it

nikdorinn [45]

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6 0

3 years ago

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Answer:

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