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4 years ago

58% of what is 63.4?

Mathematics

1 answer:

lesya [120]4 years ago

8 0

109.31

To find this you can convert 58% to decimal form, which is .58. Once you have a decimal form of a percent, you can multiply it by the number you are taking the percent of and get an answer. So .58 times something equals 63.4. You can write this as an equation:

.58x = 63.4

and solve for x, which would get 63.4/.58, which equals 109.31.

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Solve the following system using the algebraic method of substitution. Verify your solution.

kap26 [50]

I've done it on the attached pages.

I hope this helps you...

5 0

2 years ago

Help question below please and thank you i will give brainliest

vodomira [7]

Answer: angle V = 41 degrees (choice B)

======================================================

Explanation:

We're told that RS = ST = RT. This means triangle RST has all three sides equal to one another. This triangle is equilateral. Each interior angle is 60 degrees. This is because each angle is y, and y+y+y = 180.

Since each angle of triangle RST is 60 degrees, this means angle STR is 60 degrees.

Let z be the measure of angle UTV. Note how

(angleSTR)+(angleUTV) = 180

60+z = 180

z = 180-60

z = 120

Making angle UTV to be 120 degrees

------------------------------------

Now we can focus on triangle UTV since we have expressions for each interior angle

U = 4x-9
T = 120
V = 5x+6

Add up those angles, set the sum equal to 180, solve for x

U+T+V = 180

(4x-9)+(120)+(5x+6) = 180

9x+117 = 180

9x = 180-117

9x = 63

x = 63/9

x = 7

Use that x value to find the missing angle measures

angle U = 4x-9 = 4*7-9 = 28-9 = 19 degrees

angle V = 5x+6 = 5*7+6 = 35+6 = 41 degrees

Note how

U+T+V = 19+120+41 = 180

which helps confirm our answer.

6 0

3 years ago

Read 2 more answers

Given the following triangle find side AC. A. 11.89 B. 12.87 C. 13.98 D. 14.08

BigorU [14]

Answer:

The answer to your question is AC = 14

Step-by-step explanation:

To solve this problem, we must use trigonometric functions.

And we must look for a trigonometric function that relates the opposite side and the hypotenuse.

This trigonometric function is the sine

$sin\alpha = \frac{opposite side}{hypotenuse}$

solve for Opposite side = AC

AC = hypotenuse x sin α

- Substitution

AC = 25 x sin 34

- Simplification

AC = 25 x 0.56

- Result

AC = 14

7 0

3 years ago

at a school concert the total value of tickets sold was $994. Student tickets sold for $5 and adult tickets sold for $8. The num

ValentinkaMS [17]

Answer:

42 student tickets and 98 adult tickets

Step-by-step explanation:

Let's call the number of student tickets 's' and the number of adult tickets 'a'.

Then, we can write the two equations below:

5s + 8a = 994

a = 2s + 14

Using the value of 'a' from the second equation in the first one, we have:

5s + 8*(2s + 14) = 994

5s + 16s + 112 = 994

21s = 882

s = 42

Now, finding the value of 'a', we have:

a = 2*42 + 14 = 98

6 0

4 years ago

Read 2 more answers

Suppose x is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that x is l

MaRussiya [10]

Answer:

The probability that x is less than 9.7 is 0.0069 = 0.69%

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:

$\mu = 22, \sigma = 5$

The probability that x is less than 9.7 is _____.

This is the pvalue of Z when X = 9.7. So

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

$Z = \frac{9.7 - 22}{5}$

$Z = -2.46$

$Z = -2.46$ has a pvalue of 0.0069

The probability that x is less than 9.7 is 0.0069 = 0.69%

5 0

4 years ago