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dybincka [34]
3 years ago
11

What is measure of angle R?

Mathematics
1 answer:
Anna [14]3 years ago
6 0
To find an angle you need to use trig ratios (tan, sin, and cos).

In this case to find ∠R you would need to use sin or cos because both of the legs are not across or adjacent to it.

To find ∠R you would need to do the "opposite" formula which would be (for sin) 5/13 <span>≈ 0.38.. asin = 22.26</span>
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3. Mrs. Brown has 9 cups of flour. Each
hodyreva [135]

Answer:

3/4 of a batch

Step-by-step explanation:

9 out of the total 12 cups is what she has. So this converts into the fraction of 3/4 when simplified so she can make 3/4 of a batch.

6 0
3 years ago
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A wire is stretched from the ground to the top of an antenna tower. The wire is 15 feet long. The height of the tower is 3 feet
Mariana [72]

The distance d is 9 ft and the height is 12ft.

<h3>How to find the distance and the height?</h3>

Here we can model the situation with a right triangle, where the length of the wire is the hypotenuse.

The height is one cathetus and the distance is the other catheti.

Let's define:

  • h = height
  • d = distance.
  • hypotenuse = 15ft

We know that the height of the tower is 3 ft larger than the distance, then:

h = d + 3ft

Now we can use the Pythagorean theorem, it says that the sum of the squares of the cathetus is equal to the square of the hypotenuse.

Then:

d^2 + (d + 3ft)^2 = (15ft)^2

Now we can solve this equation for d:

d^2 + d^2 + 6ft*d + 9ft^2 = (15ft)^2\\\\2d^2 + 6ft*d - 216 ft^2 = 0\\\\d^2 + 3ft*d - 108ft^2 = 0

Then the solutions are:

d = \frac{-3ft \pm \sqrt{(3ft)^2 - 4*(-108ft^2)} }{2} \\\\d = \frac{-3ft \pm 21ft }{2}

We only take the positive solution:

d = (-3ft + 21ft)/2 = 9ft

And the height is 3 ft more than that, so:

h = 9ft + 3ft = 12ft

The distance d is 9 ft and the height is 12ft.

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

8 0
2 years ago
Simplify the problem 2/3 * 3/5
Yakvenalex [24]
The answer the this problem can be either 6/15 or 2/5
3 0
3 years ago
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How do i get the solution to graph 2x+3y=12
Pavel [41]
2x + 3y = 12

I am going to put this in y = mx + b form, where m is ur slope and b is ur y intercept.
2x + 3y = 12
3y = -2x + 12
y = -2/3x + 4......slope is -2/3 and y int is (0,4)

x int can be found by subbing in 0 for y and solving for x
2x + 3y = 12
2x + 3(0) = 12
2x = 12
x = 6.....so x int is (6,0)

start at y int (0,4).....and since the slope is -2/3, come down 2 spaces, and to the right 3 spaces, then down 2 spaces, to the right 3 spaces....keep doing that and u should cross the x axis at (6,0)
7 0
3 years ago
Convert: 106 mi = ________ km
Bond [772]
1 km=0.621mi
xkm=106 mi
x=106/0.621=170.66
b is the answer
6 0
3 years ago
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