How do you simplify the square root of 180 and how do you know that it is in simplest form?

1 answer:

6 0

Here is the answer of the given question above. In order to simplify the square root of 180, you need to search for a square number that is a factor of 180. It could be the following: 36 x 5, 4 x 45 or 9 x 20. Then once you are done with the factors, you can simply write it this way. √<span>180 = </span>√<span>36×5. Then, this gives you 6√5. This is the exact form. The decimal form would be </span><span>13.41640786.</span>

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Find the volume of this sphere.

Sholpan [36]

<h3>Calculate the volume of the sphere</h3>

To start finding the volume of this sphere, we get the following data:

π = 3
r = 2 ft²

To find the volume we apply the following formula:

$\boldsymbol{\sf{V= \dfrac{3}{4}\pi r^{2} }}$ , where

v = volume
π = pi
r = radius

We substitute our data in the formula and solve:

Substituting values into the equation

$\boldsymbol{\sf{V=\dfrac{3}{4}*3*(2 \ ft)^{3} }}$

Calculate exponent cubed

$\boldsymbol{\sf{V=\dfrac{3}{4}*3*8 \ ft^{3} }}$

Multiplying

$\boxed{\boldsymbol{\sf{V=32 \ ft^{3} }}}$

Therefore, the volume of the sphere is 32 ft³.

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1 year ago

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Think about converting 48% to an equivalent fraction in reduced form. If the denominator is 25, what is the numerator?

bulgar [2K]

Answer:

the numerator is 12

Step-by-step explanation:

since 48 is a percent, it would be put as 48/100 as a fraction. since both the numerator and denominator are divisible by 4, you can reduce the fraction into 12/25. Since the question is asking what the numerator was when the denominator was 25, the answer is 12.

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3 years ago

Luigi uses 39 cups of flour for every 6 pizzas he makes.Complete the table using equivalent ratios. Pizzas

zlopas [31]

Answer:

Part 1) The number of cups of flour needed to make 4 pizzas is 26

Part 2) The number of pizzas Luigi can make with 13 cups of flour is 2

Step-by-step explanation:

we know that

Luigi uses 39 cups of flour for every 6 pizzas he makes

Let

y ----> the number of cups of flour used