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2 years ago

A square has side length of 8 in. If the area is multiplied by 36, what happens to the side length? HELP PLEASE!!

Mathematics

1 answer:

GaryK [48]2 years ago

6 0

Answer:

The side length is multiplied by 6.

Step-by-step explanation:

The area of a square is A = s². Suppose the side is 8 inches. This means the area is A = 8² = 64.

If you were to multiply by 36, then it becomes 64*36 = 2,304. Since squaring gave the area, it's side length would be found using the reverse operation a square root. Take the square root of 2,304.

√2304 = 48

The side length changed from 8 to 48 which is a scale factor of 6. This means 8 * 6 = 48.

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g At a certain gas station, 30% of all customers use the restroom. What is the probability that, out of the next 10 customers, (

Kruka [31]

Answer:

$P(x=4) = 0.200$

Step-by-step explanation:

Given

$n=10$ --- selected customers

$x = 4$ --- those that are expected to use the restroom

$p =30\% = 0.30$ --- proportion that uses the restroom

Required

$P(x = 4)$

The question illustrates binomial probability and the formula is:

$P(x) = ^nC_x * p^x * (1 - p)^{n - x}$

So, we have:

$P(x=4) = ^{10}C_4 * (0.30)^4 * (1 - 0.30)^{10 - 4}$

$P(x=4) = ^{10}C_4 * (0.30)^4 * (0.70)^6$

$P(x=4) = 210* (0.30)^4 * (0.70)^6$

$P(x=4) = 0.200$

4 0

3 years ago

Help Pls! I need this fast!

lesya [120]

Answer: 36

Step-by-step explanation:

$\overline{AB} \cong \overline{BC}$ (Triangle ABC is isosceles)

$m\angle CAB=m\angle CBA=30^{\circ}$ (base angles of an isosceles triangle are congruent)

$\angle MCB=90^{\circ}$ (In triangle CMB, angles in a triangle add to 180 degrees)

$\angle ACM=30^{\circ}$ (triangle sum theorem)

$MB=24$ (30-60-90 triangle CMB)

$AB=12$ (sides opposite congruent angles in a triangle are congruent)

$AB=36$ (segment addition postulate)

3 0

1 year ago

In quadrant 2 , x is ? and y is ?

Bezzdna [24]

In quadrant 2, x is negative which means x < 0. Also, in quadrant 2, y is positive so y > 0.

An example point that is located in quadrant 2 is the point (-5, 8). Note how the first coordinate is -5 so x = -5 which is negative. Furthermore, the second coordinate is 8 meaning that y = 8 which is positive.

Quadrant 2 is the quadrant on the upper left-hand side of the four quadrants on the xy coordinate system.

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2 years ago

Answer this question

lutik1710 [3]

Answer:

Step-by-step explanation:

1. Eggs are sold at a price of P 105.00 per dozen.

Rate = $\frac{1}{105}$