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3 years ago

The legs of a right triangle are 18 centimeters and 80 centimeters long. What is the length of the hypotenuse? (4 points)

Mathematics

1 answer:

matrenka [14]3 years ago

7 0

Answer: 16 or 6 or 9 or 90

Step-by-step explanation: best guess

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The acceleration y, in meters per second squared, of an object after x seconds is given by y = 7 sin (pi/4 x). During the first

Nataly_w [17]

Answer: (0, 2) and (6, 10)

Step-by-step explanation:

The acceleration is:

y = 7*sin( x*pi/4).

Over which interval is the acceleration increasing?

First, let's study the sin function:

Sin(θ) increases between -pi/2 and pi/2

Sin(θ) decreases between pi/2 and (3/2)*pi.

And so on.

Here we have:

θ = x*(pi/2)

When x = 0, θ = 0.

And sin(θ) is increasing in θ = 0.

Then we must choose one of the options that start with x = 0.

now it will stop increasing when:

θ = pi/2 = x*(pi/4)

x = 2.

So the acceleration is increasing in the segment (0,2)

And it will start increase again when:

θ = (3/2)*pi = x*(pi/4)

(3/2)*pi*(4/pi) = 6 = x.

So at x= 6 the acceleration starts increasing again, and the acceleration is only deffined until x = 10, then

the correct option is: (0, 2) and (6, 10)

6 0

3 years ago

Line segment AB has endpoints A(1, 2) and B(5, 3). Find the coordinates of the point that divides the line segment directed from

ikadub [295]

Now despite what you may think, 1:3 is not 1/3 in this situation, but rather it's "1 equal part to 3 equal parts", which is a total of 4 equal parts. In short, they want the point that is at the 1/4 mark from A to B.

Firstly, how many units apart is 1 to 5 (the x-coordinates)? That would be 4 units apart. Multiply 1/4 by 4:

$\frac{1}{4}\times \frac{4}{1}=\frac{4}{4}=1$

Next, how many units apart is 2 to 3 (the y-coordinates)? That would be 1 unit apart. Multiply 1/4 by 1:

$\frac{1}{4}\times \frac{1}{1}=\frac{1}{4}$

Next, since from 1 to 5 you are increasing, add 1 to 1.

$1+1=2$

2 is the x-coordinate of the new point.

Next, since from 2 to 3 you are increasing, add 1/4 to 2.

$2+\frac{1}{4}=2\frac{1}{4}=\frac{9}{4}$

9/4 is the y-coordinate of the new point.

Putting it together, the point which divides AB into a 1:3 ratio is (2, 9/4), or D.

4 0

3 years ago

36(pi) cubed divides by (pi) 3 squared

AleksAgata [21]

Answer in decimal form: 37.69911184

5 0

3 years ago

Which equation describes the circle having center point (3,7) and radius r = 4

Mnenie [13.5K]

Step-by-step explanation below

7 0

2 years ago

I need help setting up this problem. Please help me out.

Ilia_Sergeevich [38]

Answer:

12 pounds

Step-by-step explanation:

One quantity is asked for, so it is convenient to let a variable represent that. We can use x to represent pounds of chocolate. Then the total cost of the mix is ...

19.30·x + 3.50·18 = 9.82·(x +18) . . . . cost of chocolate + cost of trail mix

9.48·x = 113.76 . . . . . . simplify, subtract 63+9.82x

113.76/9.48 = x = 12 . . . . . . divide by the coefficient of x

The owner needs to mix 12 pounds of chocolate. (no rounding necessary)

4 0

3 years ago

Read 2 more answers