Answer: 15.2
Step-by-step explanation:
(14)^2 + (6)^2 = c^2
196 + 36 = c^2
232 = c^2
Square root both sides
15.231546 = c
15.2 ≈ c
Answer:
Orange = 12
Grape = 15
Cola = 23
Step-by-step explanation:
Turning this into equations you can give each soda a variable
Cola = C | Grape = G | Orange = R
Then you get:
8 + G = C
R + 3 = G
C + G + R = 50
We want to get a variable all by itself in an equation so first I'm going to put the second equation (R + 3 = G) in the first (8 + G = C) by replacing the G to get
8 + (R + 3) = C Combine the variables 11 + R = C and put that new equation into the last equation
(11 + R) + G + R = 50
Now plug our original second equation (R + 3 = G) into our third to get
(11 + R) + (R + 3) + R = 50
Combine and get
14 + 3R = 50 Subtract over the 14
3R = 36 Divide by 3
Orange Sodas = 12
Our new 3rd Equation is now: C + G + 12 = 50, subtract over 12 to get
C + G = 38
Plug either equation 1 or 2 into that one, I'll do 1
(8 + G) + G = 38
8 + 2G = 38
2G = 30
Grape Sodas = 15
Now our 3rd equation is C + 15 = 38, subtract over 15
Cola Sodas = 23
Orange = 12
Grape = 15
Cola = 23
12 + 15 + 23 = 50
Answer:
m∠1= 41°
m∠2= 85°
m∠3= 95°
m∠4= 85°
m∠5= 36°
m∠6= 49°
m∠7= 106°
Step-by-step explanation:
<u>To find m∠2</u>
95+m∠2= 180
-95 - 95
m∠2= 85
<u>To find m∠4</u>
Since they are vertical angles, m∠2=m∠4, that means that they are both 85°
<u>To find m∠1</u>
There is four angles in this shape, so the sum is 360 degrees.
90+144+85+m∠1= 360
319+m∠1= 360
-319 -319
m∠1= 41°
<u>To find m∠5</u>
144+m∠5= 180
-144 -144
m∠5= 36°
<u>To find m∠6</u>
m∠5+m∠3+m∠6= 180
36+95+m∠6= 180
131+m∠6= 180
-131 -131
m∠= 49°
<u>To find m∠7</u>
You need to find the sum of the other unidentified angle.
m∠6+m∠=180
49+m∠= 180
-49 -49
m∠= 131
Now you need to find the sum of all the angles in the quadrilateral to get the measure for angle 7.
131+38+85+m∠7= 360
254+m∠7= 360
-254 -254
m∠= 106°
use photomath it helps a ton! its an app on your phone where you take a pic and it will answer it for you with explanations c:
Answer:
d) f(x) = 5x + 2
Step-by-step explanation:
First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.
Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2
To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.
Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2
