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garik1379 [7]
1 year ago
10

gn="absmiddle" class="latex-formula">simplify in simplest radical form
Mathematics
1 answer:
Marianna [84]1 year ago
7 0

Start by decomposing the number inside the root into primes

Then group the terms into cubes if possible

\begin{gathered} 80=2\cdot2\cdot2\cdot2\cdot5 \\ 80=2^3\cdot2\cdot5 \\ 80=10\cdot2^3 \end{gathered}

rewrite the root

\sqrt[3]{80}=\sqrt[3]{10\cdot2^3}

then cancel the terms that are cubes and bring them out of the root

\sqrt[3]{80}=2\sqrt[3]{10}

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The answer is 1 because that's the point on the graph where x meets 0, or (0, 1)
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Sequences and Series precalc multiple choice, will give brainliest.
Gala2k [10]

9514 1404 393

Answer:

  False

Step-by-step explanation:

The given formula is the "explicit" formula for the sequence.

The recursive formula would be ...

  a[1] = 160

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2 years ago
Suppose the height of the pyramid is 20 yards. What is the pyramid's volume?
DedPeter [7]

Answer : The correct option is, (B) 1500 cubic yards.

Step-by-step explanation :

Formula used to calculate the volume of square pyramid is:

V=\frac{a^2\times h}{3}

where,

V = volume of pyramid

a = base edge of pyramid

h = height of pyramid

Given:

Base edge of pyramid = 15 yards

Height of pyramid = 20 yards

Now putting all the given values in the above formula, we get:

V=\frac{a^2\times h}{3}

V=\frac{(15\text{ yrads})^2\times (20\text{ yards})}{3}

V=1500\text{ yards}^3

Therefore, the volume of pyramid is 1500 cubic yards.

5 0
3 years ago
Find the length of the third side. If necessary, write in simplest radical form.
Mazyrski [523]

Answer:

\boxed {\boxed {\sf 8}}

Step-by-step explanation:

This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.

a^2+b^2=c^2

Where <em>a</em> and <em>b </em> are the legs of the triangle and <em>c</em> is the hypotenuse.

In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:

a= 7 \\b= \sqrt{15}

Substitute these values into the formula.

(7)^2+(\sqrt{15})^2=c^2

Solve the exponents.

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49+ (\sqrt{15})^2=c^2

  • (√15)²=√15*√15=15

49+15=c^2

Add.

64=c^2

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

\sqrt{64}=\sqrt{c^2} \\\sqrt{64}= c\\8=c

The third side length is <u>8.</u>

6 0
3 years ago
Read 2 more answers
How many square feet of outdoor carpet will we need for this hole​
DIA [1.3K]

Answer:

39ft²

Step-by-step explanation:

Divide up the Shape

Big rectangle:

a=lw

11*3=33ft

Small rectangle

2*3=6ft

Whole shape:

33+6=39ft²

4 0
2 years ago
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