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Alex787 [66]
3 years ago
13

If the side length of square ABCD is four times the side length of square PQRS, which statement is true?

Mathematics
1 answer:
lyudmila [28]3 years ago
3 0

Answer:

i think the answer is A

Step-by-step explanation:

Because it says four times and 4 times 4 =16

sorry tried my best(don't write this part down)lol

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A triangle has side lengths of 9 in, 13 in, and 20 in. What is the measurement of this triangle's largest angle?
Rama09 [41]

1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :

     i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.

      ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:

       a^{2}=b ^{2}+c ^{2}-2bc(cosA)

2.

20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA)

400=81+169-234(cosA)   150=-234(cosA)

cosA=150/-234= -0.641

3. m(A) = Arccos(-0.641)≈130°,

4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc

6 0
3 years ago
Read 2 more answers
-3 = b/6 - 10<br> * B/6 IS DIVISION NOT A FRACTION*<br> Thank you
vodka [1.7K]

Answer:

bro division and fraction are technically same

Step-by-step explanation:

8 0
2 years ago
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Three times a number, minus 5 is equal to two times the number, plus 7
vitfil [10]
3x - 5 = 2x + 7 i call the number "x"
3x = 2x + 12
1x = 12
x = 12 the number is 12
6 0
3 years ago
Take a moment to think about what tan(θ) represents.1. Use interval notation to represent the values of θ (between 0 and 2π) whe
Nonamiya [84]

Let's first get the representation of tan

We also need to understand how to convert radians to degrees

\begin{gathered} \frac{\pi}{2}=90^0 \\ \pi=180^0 \\ \frac{3\pi}{2}=270^0 \\ 2\pi=360^0 \end{gathered}

For question 1

since tan > 1

It must be in either first quadrant or third quadrant as shown in the diagram above

\begin{gathered} \text{ } \\ \frac{\pi}{4}

5 0
1 year ago
A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 33.9 wee
MArishka [77]

Answer:

P(35.3 < M < 35.4) = 0.0040.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 33.9, \sigma = 6.7, n = 119, s = \frac{6.7}{\sqrt{119}} = 0.6142

Find the probability that a single randomly selected value is between 35.3 and 35.4

This is the pvalue of Z when X = 35.4 subtracted by the pvalue of Z when X = 35.3. So

X = 35.4

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

By the Central Limit Theorem

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

Z = \frac{35.4 - 33.9}{0.6142}

Z = 2.44

Z = 2.44 has a pvalue of 0.9927

X = 35.3

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

Z = \frac{35.3 - 33.9}{0.6142}

Z = 2.28

Z = 2.28 has a pvalue of 0.9887

0.9927 - 0.9887 = 0.0040

So the answer is:

P(35.3 < M < 35.4) = 0.0040.

4 0
3 years ago
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