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3 years ago

Multiply. √3 ⋅ 2√2 ⋅ 5√8 ⋅ √18 Enter your answer, in simplest radical form, in the box.

2 answers:

5 0

$\sqrt3\\2\sqrt2\\5\sqrt8=5\sqrt{4\cdot2}=5\sqrt4\cdot\sqrt2=5(2)\sqrt2=10\sqrt2\\\sqrt{18}=\sqrt{9\cdot2}=\sqrt9\cdot\sqrt2=3\sqrt2\\\\\sqrt3\cdot2\sqrt2\cdot5\sqrt8\cdot\sqrt{18}=\sqrt3\cdot2\sqrt2\cdot10\sqrt2\cdot3\sqrt2\\\\=(2\cdot10\cdot3)(\sqrt3\cdot\sqrt2\cdot\sqrt2\cdot\sqrt2)=60\sqrt{3\cdot2}\cdot\sqrt{2\cdot2}\\\\=60\sqrt6\cdot\sqrt4=60\sqrt6\cdot2=(60\cdot2)(\sqrt6)\\\\=\boxed{120\sqrt6}$

kenny6666 [7]3 years ago

4 0

Answer:

120√6

Step-by-step explanation:

Simplify the 5√8 to 2√2

simplify the √18 to 3√2

so it would be √3 * 2√2 * 5 * 2√2 * 3√2

when a square root of an expression is multiplied by itself:

√3 * 2 * 2* 5 * 2 * <em>3</em>√2

so as we calculate it, 2 * 2* 5 * 2 * <em>3</em> = 120 and √2 * √3 = 6

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KATRIN_1 [288]

Answer:

D, E

Step-by-step explanation:

The applicable formula is ...

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3 years ago

The product of two integers is 72.one number is two less than 5 times the other

harkovskaia [24]

X*y=72
x = 5y-2

x=72/y
72/y=5y-2

72=5y^2-2y
5y^2 -2y - 72 = 0
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y = -18/5 discard
or y = 4
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(18,4)

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3 years ago

Match the English word or phrase to its math equivalent.

nydimaria [60]

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3 years ago

You wish to take a flight from Nevada to New York. Use the point (-4, 0) to represent Nevada, and the (5, 2) to represent New Yo

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Using proportions, it is found that the ordered pair that represents the location of the layover is given by: (2.75, 1.5).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the flight distance is partitioned in a ratio of 3:1, hence:

L - Nv = 3/4(Ny - Nv).

This ratio is applied for both coordinates, hence, for the x-coordinate:

$x + 4 = \frac{3}/{4}(5 + 4)$

$x = \frac{27}{4} - \frac{16}{4}$

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x = 2.75.

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2 years ago

in a city school of 1,200 students, 40% of the students are on the honor roll, 60% have a part-time job, and 22% are on the hono

Alexus [3.1K]

Let
A = event that the student is on the honor roll
B = event that the student has a part-time job
C = event that the student is on the honor roll and has a part-time job

We are given
P(A) = 0.40
P(B) = 0.60
P(C) = 0.22
note: P(C) = P(A and B)

We want to find out P(A|B) which is "the probability of getting event A given that we know event B is true". This is a conditional probability

P(A|B) = [P(A and B)]/P(B)
P(A|B) = P(C)/P(B)
P(A|B) = 0.22/0.6
P(A|B) = 0.3667 which is approximate

Convert this to a percentage to get roughly 36.67% and this rounds to 37%

Final Answer: 37%

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3 years ago