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Arlecino [84]
3 years ago
14

2 square root of 8 multiplied by the square root of 20

Mathematics
2 answers:
Len [333]3 years ago
7 0

It is 25.2982212813 hope you have a good day

dybincka [34]3 years ago
6 0

Step-by-step explanation:

2 \sqrt{8}  \times  \sqrt{20}  \\  \\  = 2 \sqrt{4 \times 2}  \times  \sqrt{4 \times 5}  \\  \\  = 2 \times 2 \sqrt{2}  \times 2 \sqrt{5}  \\  \\  = 8 \sqrt{2 \times 5}  \\  \\  =  8\sqrt{10}

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Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)
mina [271]

The result of the log function log_a (m * n ^ 2)  is 60

According to the law of logarithm if log_ab=y then b=a^y

Given the following expressions

log_am=10\\log_an=25

This can be expressed as

m =a^{10} \ and \ n = a^{25}

Substitute the value of m and n into the expression log_a (m * n ^ 2) to have:

log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60

This shows that the result of the log function log_a (m * n ^ 2)  is 60

Learn more here: brainly.com/question/12049968

6 0
2 years ago
Simplify: (x+7)(x-4)
SVETLANKA909090 [29]

Answer:

x² + 3x - 28

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor

(x + 7)(x - 4)

= x(x - 4) + 7(x - 4) ← distribute both parenthesis

= x² - 4x + 7x - 28 ← collect like terms

= x² + 3x - 28


6 0
2 years ago
One acute angle of a right triangle is 12 degrees more than twice the other acute angle. Fine the acute angles of the right tria
Svetlanka [38]
Let one acute angle be X and one be Y
X+Y=90  -------Eq.1
2X+12=Y
2X-Y=-12------Eq.2
solving eq 1&2 we get,
3x=78
∴X=26
substituting value X in equation.1
X+Y=90
Y=90-26
∴Y=64
⇒answer:- X=26°
                   Y=64°


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2 years ago
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6 0
2 years ago
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A train covers a distance of 80 miles in 2 hours. At this rate, about how many hours will it take to cover a distance of 200 mil
Vadim26 [7]
Let's write miles over hours
80 / 2 = 200/ x
cross multiply
80x = 400
divide both sides by 80
x = 5

It will take 5 hours to cover 200 miles

Hope this helps :)
6 0
3 years ago
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