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BartSMP [9]
3 years ago
6

Angles R and S are supplementary angles. which is the measure of R?

Mathematics
1 answer:
ycow [4]3 years ago
6 0

Answer:

<h2>R = 15°</h2>

Step-by-step explanation:

Since angles R and S are supplementary angles it means that the sum of their angles add up to 180°

To find R we must first find x

To find x , add angles R and S and equate them to 180

That's

R + S = 180

80 - x + 3x - 30 = 180

2x + 50 = 180

2x = 180 - 50

2x = 130

Divide both sides by 2

x = 65°

From the question

R = 80 - x

But x = 65°

Substitute the value of x into the expression

That's

R = 80 - 65

We have the final answer as

<h3>R = 15° </h3>

Hope this helps you

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Lily threw a ball. The balls equation that demonstrated its height and velocity is:
SIZIF [17.4K]

The initial height of the ball is the y-intercept of the function

The initial height she threw the ball from is 35

<h3>How to determine the initial height</h3>

The function is given as:

h(x) = -16x^2 + 3x +35

Set x = 0.

So, we have:

h(0) = -16 * 0^2 + 3*0 +35

Evaluate the exponent

h(0) = -16 * 0 + 3 * 0 + 35

Evaluate the products

h(0) = 0 + 0 + 35

Evaluate the sum

h(0)= 35

Hence, the initial height she threw the ball from is 35

Read more about quadratic functions at:

brainly.com/question/14477557

4 0
2 years ago
I have 18ones,15hundreds,15tens,and 8 thousands
Oksanka [162]

9668

Explanation:

18 ones, 18x1=18

15 hundreds, 15x100 =1500

15 tens, 15x10=150

8 thousands,8x1000=8000

8x1000=800018+1500+150+8000=9668

<em>Hope</em><em> this</em><em> answer</em><em> correct</em><em> </em><em>:</em><em>)</em>

5 0
3 years ago
Please help<br>are these functions or not?​
crimeas [40]

Answer:

1. Function

2. Not a function

3. Function

4. Not a function

Step-by-step explanation:

A function just means that for each input it outputs only 1 output. This output isn't necessarily unique. So for example if you're just given: f(2) = 3 and f(1) = 3, this is a function since each input only outputs 1 value, even though the output isn't unique, but if you're given: f(3) = 2, f(2) = 1, f(3) = 3. that's not a function since f(3) outputs both 2 and 3.

Anyways now that you hopefully understand this, let's look at each image.


Relation 1: (Function)

   So for each input (the domain) it's only pointing to one output (range), even if multiple input (the domain) are pointing to the same output (the range), it's still a function.

Relation 2: (Not a function)

   This is not a function, since if you look at the input 7 (the range), you'll see it outputs two things (range). It outputs -6 and -7. So this is not a function

Relation 3: (Function)

   This is a function since each x-value (input) has only one y-value (output). So it's a function

Relation 4: (Not a functio)

   This is not a function, since there are multiply coordinates with the same x-coordinate (input) and different y-coordinates (output). The x-coordinate 2 has the output b, y, and m, and since no value is given for these variables, it can be assumed they're different values, thus it's not a function.

5 0
2 years ago
The question is attached
DerKrebs [107]

cos(A - B) = cos A cos B + sin A sin B

In this case, A is \frac{\pi }{3} and B is \frac{\pi }{5}, so:

  cos\frac{\pi}{3} cos\frac{\pi}{5} +sin\frac{\pi }{3} sin\frac{\pi }{5} =cos(\frac{\pi}{3} -\frac{\pi}{5} ) = cos\frac{2\pi}{15}

Hope that helps!

5 0
2 years ago
I am having a hard time with simultaneous equations specifically the elimination method, i want to know when do we subtract and
ElenaW [278]

Answer:

The solution to these two equations is (3, 1)

Step-by-step explanation:

So for the elimination method, we are basically multiply each equation by a factor that would allow us to cancel them out..

We could rewrite the equations as the following to make the elimination method easier:

-2y + 3x = 7

y + 4x = 13

We could multiply the second equation by positive 2 in order to cancel out the y from the first equation when we add.

-2y + 3x = 7

2y + 8x = 26        --->  Now we have 11x = 33, when we simplify, we have x = 3.

Now to find our y value in order to find the solution, we would just plug in our x value and solve for y. **We can use either equation to find the answer for this...

-2y + 3x =7.

-2y + 3(3) = 7

-2y + 9 = 7

-2y = -2

y = 1.

We can double check our answer by plugging in both x and y values into the second equation.

4(3) + 1 = 13.

12 + 1 = 13, so we are correct.

The solution to these two equations is (3, 1)

6 0
3 years ago
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