3 years ago

What number fall between the square root of 180

Mathematics

1 answer:

zvonat [6]3 years ago

7 0

It will fall betwenn the square root of 169 which is 13 and 196 is 14

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A rectangular box has the dimensions shown in the diagram. The volume of the box is given by the function V(x) = x3 – 4x, where

marta [7]

Answer:

$Height =3$

Step-by-step explanation:

Given

$Length = x + 2$

$Width = x - 2$

$Height = x$

$Volume = 15$

Required

Find the height

The volume is calculated as thus:

$Volume = Length * Width * Height$

This gives

$15 = (x + 2) * (x - 2) * x$

Apply difference of two squares

$15 =(x^2 - 4 ) * x$

$15 = x^3 - 4x$

Subtract 15 from both sides

$x^3 - 4x - 15 = 0$

Using a calculator to factorize, we have:

$(x-3)(x^2+3x+5) = 0$

Split

$x - 3 = 0$ or $x^2 + 3x + 5 = 0$

$x = 3$ or $x^2 + 3x + 5 = 0$

x has complex roots for $x^2 + 3x + 5 = 0$

Hence:

$x = 3$

Recall that:

$Height = x$

$Height =3$

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3 years ago

Charlie bought a pair of shorts at the store when they were having a 45% off sale.If the regular price of the pair of shorts was

nekit [7.7K]

Charlie would have to pay 10 dollars

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What is the exact value of sin (165 degrees)

anygoal [31]

Answer:

Step-by-step explanation:

Think of a value on the unit circle that is double of 165.

330 is that so we can use the double Angle Identity

$\sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos( \alpha ) }{2} }$

Alpha is 330

$\sin(165) = \sqrt{ \frac{1 - \cos(330) }{2} }$

$\sin(165) = \sqrt{ \frac{1 - \frac{ \sqrt{3} }{2} }{2} }$

$\sin(165) = \sqrt{ \frac{ \frac{2 - \sqrt{3} }{2} }{2} }$

$\sin(165) = \sqrt{ \frac{2 - \sqrt{3} }{4} }$

$\sin(165) = \frac{ \sqrt{2 - \sqrt{3} } }{2}$

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2 years ago

Maria's dog weighs 6 times as uch as her rabbit. Together the pets weight 56 pounds. What does Marias dog weigh? How did you fig

WITCHER [35]

56÷6 = 9.33
Maria's dog weighs 9.33 units

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