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3 years ago

Find the product. (rad 5) times (the cube root of 5)

Mathematics

1 answer:

Maru [420]3 years ago

8 0

$\sqrt{5} \cdot \sqrt[3]{5}=5^{ \frac{1}{2} }\cdot5^{ \frac{1}{3} }= 5^{ \frac{1}{2}+ \frac{1}{3} }=5^{ \frac{5}{6} }$

Answer is D

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A building 50 ft high casts a 75-ft shadow. Sarah casts a 6-ft shadow. The triangle formed by the building and its shadow is sim

Rom4ik [11]

Make each known side into a ratio like so...
75/6
(Because 75 is the shadow casted by the building, and 6 is the shadow casted by sarah)
and 50/x
(50 is how tall the building is and sarah's height is what needs to be found)
Therefore,
75 50
---- -----
6 x

Do cross products;
50 x 6 = 75 x X
300 = 75x
Divide by 75
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3 years ago

Would the hypotenuse of a right triangle with a vertical length of 6 and a horizontal length of 10 have the same slope as the hy

Elodia [21]

No

1. Vertical 6, horizontal 10
6/10 = 3/5 slope

2. (Red) vertical -2, horizontal 3
-2/3 does not equal 3/5

3. (Blue) vertical 4, horizontal 6
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3 years ago

Please help! If possible, please word your explanation simply.

Nesterboy [21]

Answer: It is because if ∠N and ∠K are congruent and are same in size and shape.

8 0

3 years ago

Read 2 more answers

Write the equation of a line with slope 3 and passing through the point (1,-1)

pychu [463]

Y=3x-4 I am pretty sure this is your answe

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=12x%20%5E%7B2%7D%20%20%2B%204x%20%2B%2020" id="TexFormula1" title="12x ^{2} + 4x + 20" alt="1

Nesterboy [21]

<h3>Answer: </h3>

The GCF is 4

The polynomial factors to $4(3x^2+x+5)$

==========================================================

Further explanation:

Ignore the x terms

We're looking for the GCF of 12, 4 and 20

Factor each to their prime factorization. It might help to do a factor tree, but this is optional.

12 = 2*2*3
4 = 2*2
20 = 2*2*5

Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.

We can then factor like so

$12x^2 + 4x + 20\\\\4*3x^2 + 4*x + 4*5\\\\4(3x^2 + x + 5)$

The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.

The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).

4 0

2 years ago