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Lina20 [59]
3 years ago
10

In ΔCDE, the measure of ∠E=90°, DC = 5, CE = 4, and ED = 3. What ratio represents the sine of ∠C?

Mathematics
1 answer:
lianna [129]3 years ago
3 1

Answer:

As E is right angle , CD is hypotenuse , and ED is perpendicular and CE is the base .

Thus sinC = Perpendicular/ Hypotenuse

sinC = ED/CD

sinC = 3/5

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A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z%
sergeinik [125]

Answer:

Both statements are sufficient to answer the question

Step-by-step explanation:

Given:

- The paint mixture has following proportions:

 Total volume of paint = T

 Blue:  x*T / 100

 Green: y*T/100

 Red: z*T/100

Find:

Statement 1: x = y

Statement: z = 60

Which of the above statement is sufficient to calculate the amount of green paint used

Solution:

Statement 1:

- The amount of blue paint used is:

                    1 gallon = x*T / 100

- x = y,

                    1 gallon = y*T / 100

Hence,

                    Amount of green paint used is 1 gallon

- The statement is sufficient

Statement 2:

- The amount of red paint used is:

                    3 gallon = z*T / 100

                    T = 300 / z = 300 / 60 = 5 gallons

                    T = R + B + G

                    G = T - R - B

                    G = 5 - 3 - 1

                    G = 1 gallons

Hence,

                    Amount of green paint used is 1 gallon

- The statement is sufficient

5 0
3 years ago
Hurricane winds can be as strong as 150 miles per hours. If stick carried by a hurricane wind is flying at 130 mph, how far ( in
slavikrds [6]

Answer:

I believe it's 6.5 hours

Step-by-step explanation:

130/20=6.5

Not sure tho.

3 0
2 years ago
Read 2 more answers
Please please help me out with this problem
Hatshy [7]

Answer:

y = 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line

m = \frac{2+4}{2-0} = \frac{6}{2} = 3

Note the line crosses the y- axis at (0, - 4) ⇒ c = - 4

y = 3x - 4 ← equation of line

6 0
3 years ago
Let f(x) = x2 − 16. find f−1(x). open study
Bogdan [553]
Okay, so first you make f(x) = y and switch x and y. So the equation becomes:

x = y^2 - 16

The next step is to get y by itself. So first you add 16 to both sides:

x + 16 = y^2

Now you square root everything, so the final answer is going to be:

the square root of x + 4 = y
5 0
3 years ago
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Nathan ran 2.35 miles on Tuesday and 3.15 on Thursday. What total distance did he run?
tekilochka [14]

Answer:

5.5 miles

Step-by-step explanation:

2.35 + 3.15 =5.5

3 0
2 years ago
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