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grandymaker [24]
3 years ago
6

The area of square A is 40ft^2 . The area of square B is 250% of the area of square A. What is the length of one side of square

B?
Mathematics
1 answer:
Nuetrik [128]3 years ago
3 0

Answer:

Step-by-step explanation:

We are given the area of square A as 40 ft². Then we are told that the area of square B is 250% of A's area. The equation in words that we are going to be using is:

Area of square B = 2.5 × Area of square A where the word "is" is replaced by an equals sign, and the word "of" is replaced by a multiplication sign. We know that the area of A is 40, so:

Area of square B = 2.5(40) and

Area of square B = 100 ft²

The area formula for a square is A = s², so if the Area is 100:

100 = s² so

s = 10ft

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A. 1 only- this study provides evidence that taking B12 vitamin daily contributed to protecting against Alzheimer’s disease.
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H
tigry1 [53]

Answer:

4448 feet²

Step-by-step explanation:

Using the formula A = 2((l)x(w) + (l)x(h) + (w)x(h)) we can take the length, width and height and plug them in. A = 2(44x21 + 44x20 + 21x20), solving this equation we get 4448 feet^{2}.

8 0
2 years ago
Ron needed to buy a new jacket for his upcoming ski trip. The ticket price of the jacket was $199.00. After the sales tax was ad
Levart [38]

Answer: 5%

Step-by-step explanation:

Given that:

Ticket price of jacket = $199

Final price after addition of sales tax = $208.95

Percentage sales tax on the jacket =?

Final price after addition of sales tax = price of jacket + amount of sales tax paid

208.95 = 199 + amount of sales tax paid

amount of sales tax paid = 208.95 - 199

amount of sales tax paid = $9.95

Let Percentage of sales tax = x

(x / 100) * 199 = 9.95

199x / 100 = 9.95

199x = 995

x = 5

Hence percent sales tax paid = 5%

8 0
3 years ago
Solve for x in this equation: 3/4+|5-x| = 13/4
omeli [17]

Answer: X =5/2, 15/2   x=2.5, 7.5

Step-by-step explanation:

6 0
3 years ago
The lengths of pregnancies are normally distributed with a mean of days and a standard deviation of days. a. Find the probabilit
Alik [6]

Answer:

a) The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of Z = \frac{X - \mu}{\sigma}, in which \mu is the mean and \sigma is the standard deviation.

b) We have to find X when Z has a p-value of \frac{a}{100}, and X is given by: X = \mu - Z\sigma, in which \mu is the mean and \sigma is the standard deviation.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean \mu, standard deviation \sigma

a. Find the probability of a pregnancy lasting X days or longer.

The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of Z = \frac{X - \mu}{\sigma}, in which \mu is the mean and \sigma is the standard deviation.

b. If the length of pregnancy is in the lowest a​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.

We have to find X when Z has a p-value of \frac{a}{100}, and X is given by: X = \mu - Z\sigma, in which \mu is the mean and \sigma is the standard deviation.

8 0
3 years ago
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