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3 years ago

What is 3x+5(8x+9)-2x X=5

Mathematics

1 answer:

OleMash [197]3 years ago

7 0

Answer:

250

Step-by-step explanation:

3 x 5 = 15

5 x 40 = 200, you get 40 by 8 x 5

5 x 9 = 45

245+ 15 = 260

260 - 10 = 250

= 250

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What's the equation to find the midpoint of a right triangle?

Viktor [21]

The answer is 20. You have to use the Pythagorean theorem (A^2+B^2=C^2) to find the length of the hypotenuse.

32^2+24^2=C^2
1024+576=C^2
1600=C^2
Take the square root of both sides
40=C
Since the midpoint is the middle, you divide the length of the hypotenuse by 2 and get the answer (20)

8 0

3 years ago

For ΔABC, which two relationships are true?

Phoenix [80]

The two correct relationships are:

$cos(\theta)=\frac{AB}{AC} = sin(90-\theta)\\\\sin(\theta)=\frac{BC}{AC} = cos(90-\theta)$

<h3>What is a right-angled triangle?</h3>

The triangle shown is a right-angled triangle

Considering < $(90-\theta)^o$

$cos(90-\theta)=\frac{BC}{AC} \\\\sin(90-\theta)=\frac{AB}{AC}\\\\tan(90-\theta)=\frac{AB}{BC}$

Considering < $\theta$

$cos(\theta)=\frac{AB}{AC} \\\\sin\theta)=\frac{BC}{AC}\\\\tan(\theta)=\frac{BC}{AB}$

Comparing < $\theta$ and < $(90-\theta)^o$ , the true statements are:

$cos(\theta)=\frac{AB}{AC} = sin(90-\theta)\\\\sin(\theta)=\frac{BC}{AC} = cos(90-\theta)$

Learn more on trigonometry here: brainly.com/question/20519838

6 0

1 year ago

Suppose it is known that the distribution of purchase amounts by customers entering a popular retail store is approximately norm

Ket [755]

Answer:

69.15% probability that a randomly selected customer spends less than $105 at this store

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:

$\mu = 100, \sigma = 10$

What is the probability that a randomly selected customer spends less than $105 at this store?

This is the pvalue of Z when X = 105. So

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

$Z = \frac{105 - 100}{10}$

$Z = 0.5$

$Z = 0.5$ has a pvalue of 0.6915

69.15% probability that a randomly selected customer spends less than $105 at this store

7 0

2 years ago

Read 2 more answers

What is the least common denominator of the expressions?<br> x + 1/4x and 3(X + 1)/2x2

chubhunter [2.5K]

Answer:

LCD = 4 x^2

Step-by-step explanation:

The least common denominator : LCD

(x + 1) / 4x and (3(x + 1)) / 2x^2

factor 4x : 2, 2, x

factor 2x^2 : 2, x, x^2

take highest powers 2^2 and x^2

LCD is 4*x^2

6 0

3 years ago

Olivia has an average score 90 on her five French tests if she earns a score of 98 on the sixth test what will he average score

SVETLANKA909090 [29]

Answer:

91.33

Step-by-step explanation:

90x5=450, add 98 to get 548. Since there are 6 tests, divide 548 by 6 and you get 91.33

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3 years ago