Simplify the radical expression

Mathematics

1 answer:

iris [78.8K]2 years ago

5 0

Answer:

Step-by-step explanation:

$\sqrt[4]{625x^{12}y^{8}}=\sqrt[4]{5*5*5*5*x^{3*4}y^{2*4}}\\\\ =\sqrt[4]{5^{4}*(x^{3})^{4}*(y^{2})^{4}}\\\\ =5*x^{3}*y^{2}\\\\=5x^{3}y^{2}$

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Twice the sum of a number and six decreased by fifteen is the same as eighteen more than the product of five and the number. Fin

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Answer:

-9

Step-by-step explanation:

2(n+6) -15 = 5n+18

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2 years ago

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hodyreva [135]

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Can you help me find the volume base area latera area and total area please to this problem

krek1111 [17]

Answer:

BA = 25π,

LA = 25√2π,

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Step-by-step explanation:

We need to determine the height here, as it is not given, and is quite important to us. The height is a perpendicular line segment to the radius, hence forming a 45 - 45 - 90 degree triangle as you can see. Therefore, by " Converse to Base Angles Theorem " the height should be equal in length to the radius,

( Height = 5 inches = Radius

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Now knowing the height, let's begin by calculating the base area. By it's name, we have to find the area of the base. As it is a circle, let us apply the formula " πr^2 "

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The lateral area is simply the surface area excluding the base area, the surface area having a formula of " πr^2 + πrl. " Thus, the lateral area can be calculated through the formula " πrl, " but as we are not given the slant height ( l ) we have to use another formula, $l= \sqrt{r^2+h^2}$ -