In ΔBCD, the measure of ∠D=90°, CB = 25, BD = 7, and DC = 24. What is the value of the sine of ∠C to the nearest hundredth?

Answers

Answer 1
Answer:

Answer: The value of the sine of ∠C is 0.28.

Step-by-step explanation:

Let's draw a triangle again (see the picture below).

Remember SOHCAHTOA? It's:

-sin = opposite/hypotenuse

-cos = adjacent/hypotenuse

-tan = opposite/adjacent.

We need to use sin in here.

The sin of C is (7)/(25), which in a calculator, gives 0.28


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PLEASE I Can’t figure this out. Write the slope-intercept form of the line that travels through (4,-1) and is parallel to y = 1/4x

Answers

Answer:

y = 1/4x - 2

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = 1/4x. Its slope is 1/4. A line parallel to this one will also have a slope of 1/4.

Plug this value (1/4) into your standard point-slope equation of y = mx + b.

y = 1/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -1). Plug in the x and y values into the x and y of the standard equation.

-1 = 1/4(4) + b

To find b, multiply the slope and the input of x (4)

-1 = 1 + b

Now, subtract 1 from both sides to isolate b.

-2 = b

Plug this into your standard equation.

y = 1/4x - 2

This equation is parallel to your given equation (y = 1/4x) and contains point (4, -1)

Hope this helps!

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.8 years, and standard deviation of 2.2 years.If 5 items are picked at random, 5% of the time their mean life will be less than how many years?

Answers

First of all we need o use the standard normal table to see what value if z will have 10% of the area (probability) to the left of it. We see that z value is approximately z = -1.282

Now all we have to do is calculate the value of x that corresponds to this value of z. We have

( x - µ ) / σ = -1.282 Substituting in the known values, we have

( x - 4.4 ) / 1.3 = -1.282 and x = 2.73 years

What is the slope of the line passing through the given points.
(-3,2), (6,-1)

Answers

Answer:

-1/3

Step-by-step explanation:

Since we are given two points, we can find the slope using

m = ( y2-y1)/(x2-x1)

   = ( -1-2)/( 6- -3)

   = ( -1-2) /( 6+3)

   = -3/9

    = -1/3

Answer:

Slope (m) = (-1)/(3) = -0.33333333...

Step-by-step explanation:

Slope (m) = ΔY -1

                   ΔX  3

(m)= -1/3

A bookshelf is 3 feet long. Each book on the shelf is 3/4 inches wide. How many books will fit on the shelf? (Remember, there are 12 inches in a foot.)

Answers

Answer:

48

Step-by-step explanation:

3 feet is 36 inches. 3/4 of an inch is .75 inches. So you have a very simple equation of 36/.75=48

Solve the
equation:
6x = -78

Answers

Answer:

Step-by-step explanation:

6x= -78 you just solve it algabraicly

  6x= -78

    /6x  /6x

    x= -13

Answer:

x = 13

Step-by-step explanation:

Divide both sides of the equation by the same term

6x/6 =78/6

Simplify

Cancel terms that are in both the numerator and denominator

6x/6=78/6

x=78/6

Divide

x=78/6

x=13

Hope this helps!

Anna said that the product of 7/8 ⋅ 1 1/2 =7/2. How can you tell that her answer is wrong/

Answers

Answer:

The answer is 77/16, but you can go much dipper if you want. By just simplify 77/16, in 4×13/16. And the final result will be 4.8125. Please if you find it helpful give me a like and rate me.

Answer:

it's 77/16  and just say Anna's answer is wrong.