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3 years ago

Find the value of x.

Mathematics

1 answer:

galina1969 [7]3 years ago

8 0

Answer:

x=15

Step-by-step explanation:

So we know 4x plus 8x gets a total of 180 degrees (since a straight line is 180 degrees). Combine 4x and 8x to get 12x. To find x, divide 12 from 180. 180/12 is 15.

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In ΔABC, the measure of ∠C=90°, the measure of ∠B=64°, and BC= 6.6 Find the length of CA the nearest tenth of a foot

Marrrta [24]

Answer:

CA = 13.5

Step-by-step explanation:

tan 64 = CA/6.6

2.05 = CA/6.6

CA = 13.5

4 0

3 years ago

PLEASE HELP/ANSWER! From 1980 to 1990, Lior’s weight increased by 25%. If his weight was k kilograms in 1990, what was it in 198

Elena-2011 [213]

The weight in 1980 is $\frac{4k}{5}$ kilograms

Solution:

From 1980 to 1990, Lior’s weight increased by 25%

His weight is "k" kilograms in 1990

To find: weight in 1980

This is a percentage increase problem

Let "x" be the weight in kilograms in 1980

The percentage increase is given by formula:

$\text{Percentage increase } = \frac{\text{Final value - initial value}}{\text{initial value}} \times 100$

Here,

Initial value in 1980 = x

Final value in 1990 = k

Percentage increase = 25 %

Substituting the values in formula,

$25 = \frac{k-x}{x} \times 100\\\\25x = 100(k-x)\\\\x = 4(k-x)\\\\x = 4k - 4x\\\\5x = 4k\\\\x = \frac{4k}{5}$

Thus the weight in kilograms in 1980 is $\frac{4k}{5}$

7 0

3 years ago

Bennett is setting up a light display for a wedding with two 10-foot strands of lights. The lights will be attached to the top o

Anuta_ua [19.1K]

Answer:

7.1

Step-by-step explanation:

write pythagorean theorem $x^{2}$ + $x^{2}$ = $10^2$

2 $x^2$ = 100

divide 2 both side:

$x^{2}$ = 50

$\sqrt{x^2}$ = $\sqrt{50}$

$x$ = $\sqrt{50}$

$x$ = 7.07106781

round to nearest tenth:

$x$ = 7.1

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3 years ago

Mr.Davis's students were surveyed on their favorite subject. One fifth prefer math, 0.35 prefer social studies, and 45% prefer r

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its already in order

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A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and fe

Ierofanga [76]

Given:
Do you earn over $50,000 per year?

Male Female Total
Income over 50,000 475 375 850
Income below 50,000 75 75 150
Total 550 450 1,000

Yes, "being female" and "earning over 50,000" are independent events. Independents events are events that happen where the probability of one event happening is not affected by the happening of the other event.

In this case, regardless if you are male or female, you can earn over 50,000.
Also if you are female, you either earn under or over 50,000

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3 years ago

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