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zzz [600]
3 years ago
12

The question is on the image.​

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0

Hi there!

\huge\boxed{\text{22 cm}}

We know that:

Area of a rectangle = l × w

The areas are the same, so:

3x · 4 = 6(3x - 2.5)

Simplify:

12x = 18x - 15

Solve for x:

15 = 6x

x = 2.5

Plug in this value of x to find the perimeter of rectangle B:

P = 2l + 2w

l = 6

w = 3(2.5) - 2.5 = 5

P = 2(6) + 2(5) = 22 cm

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Answer:

The answer is 8.

Step-by-step explanation:

We need to use the quadratic formula, that is ax2+bx+c=0

Where

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For the given equation x2+5x-104=0 we have

a=1, b=5, c= -104

If you solve that, we will have x=-13. x=8, two answers,

The first one, by being negative does not have physical sense (there are no negatives quantities when you measure the length of something)

So we use the anwser x=8

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Write an equation in​ point-slope form of the line that passes through the given​ points, then write the equation in​ slope-inte
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Answer:

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2-5/6-(-3)

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y - 5 = -1/3 (x +3) (you plug in the x &y values from the first set of coordinates)

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Step-by-step explanation:

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A soft drink machine outputs a mean of 2323 ounces per cup. The machine's output is normally distributed with a standard deviati
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Answer:

Area under the normal curve: 0.6915.

69.15% probability of putting less than 24 ounces in a cup.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 23, \sigma = 2

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pvalue of Z when X = 24. So

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Z = \frac{24 - 23}{2}

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Z = 0.5 has a pvalue of 0.6915

Area under the normal curve: 0.6915.

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Answer:

She needs to get 27/30 right.

Step-by-step explanation:

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