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3 years ago

Plz asap 1. (5 points) What is the value of x? Show all of your work. Round your answer to the nearest tenth.

Mathematics

1 answer:

nalin [4]3 years ago

3 0

Answer:

X = 20.6 inches

Step-by-step explanation:

Pythagorean Theorem: $A^{2} =B^{2} +C^{2}$

A = 41.2 in, while B = 35.7 in and we are solving for C.

$41.2^{2} = 35.7^{2} +C^{2}$

$1697.44 = 1274.49 + C^{2}$

Now solve for C

$422.95 = C^{2}$

Take the square root

$20.5657482237 = C$

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A zoo has 15 Emperor penguins. The Emperor penguins make up 30 percent of all the penguins at the zoo. how many penguins does th

Annette [7]

Answer:

50 penguins

Step-by-step explanation:

Let the total number of penguins = x

30% of x = 15

$\frac{30}{100}*x=15\\\\\\x=15*\frac{100}{30}\\\\x=50$

7 0

3 years ago

Read 2 more answers

A rectangle is drawn so the width is 5 inches longer than

CaHeK987 [17]

Answer:

$length = l\\width = 5 + l\\Diagonal = 36\\diagonal^2 = (5+l)^2 + l^2\\36^2 = 25 + l^2 +10l + l^2\\1296 = 2l^2 +10l +25 \\2l^2 +10l=1271\\\\l_1=\frac{-10+2\sqrt{2567}}{2\cdot \:2},\:l_2=\frac{-10-2\sqrt{2567}}{2\cdot \:2}$

$l_1=\frac{-5+\sqrt{2567}}{2},\:l_2=\frac{-5-\sqrt{2567}}{2}$

clearly,

$l_{2} \ is \ a \ negative\ number$

So we consider

$l_{1} =\frac{-5+\sqrt{2567}}{2} = 22.83$

Therefore height = 22.8inches

6 0

3 years ago

Can I rotate, translate, or reflect a figure if one figure is larger than the other figure?

lisov135 [29]

Answer:

translate

Step-by-step explanation:

3 0

3 years ago

Select the equation below that could represent:

Irina-Kira [14]

Answer:

I think it might be the 2 one

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3 years ago

Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 mont

solong [7]

Answer:

They should guarantee the lifetime of their batteries for 32 months.

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.

Mean of 36 months and a standard deviation of 2 months.

This means that $\mu = 36, \sigma = 2$