Step-by-step explanation:
11.
![16 \div 40 \times 100 = 40\%](https://tex.z-dn.net/?f=16%20%5Cdiv%2040%20%5Ctimes%20100%20%3D%2040%5C%25)
13.
![80 \times 2 = 160](https://tex.z-dn.net/?f=80%20%5Ctimes%202%20%3D%20160)
15.
![95 \div 10 = 9.5\%](https://tex.z-dn.net/?f=95%20%5Cdiv%2010%20%3D%209.5%5C%25)
17.
![\frac{150}{100} = \frac{3}{2} \\ 32 \times \frac{3}{2} \\ = 48](https://tex.z-dn.net/?f=%20%5Cfrac%7B150%7D%7B100%7D%20%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%5C%5C%2032%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%5C%5C%20%20%3D%2048)
hope this helps ☺
Answer:
-5 + -4 = -9
Step-by-step explanation:
-5 + -4 = -9
Start at 0.
You will need to move 5 spaces to the left (Negative numbers move to the left while positives go right).
And -4. Move 4 spaces left again. There you land at -9.
The plus sign is just to combine -5 and -4 together.
Thus the answer is:
-5 + -4 is -9.
Here’s why the other equations aren’t correct.
The first equation says “5 + 4 = 9”.
To represent this, you would move 5 spaces to the right (because the number is posititve.)
Then combine 4. Which you move 4 spaces to the right again. This leaves you at 9 instead of -9.
The second equation says “-5 + -9 = -14”.
To represent this, you would move 5 spaces to the left.
Then move 9 spaces to the left again. Which leaves you at -14.
Your final destination should be -9. Not anywhere else.
F(x)= x² + 8
When x = 10
f(x) = 10² + 8 = 108
Answer: 108
-(-9)-11+18 then you remove the parenthesis
9-11+18
answer: 16
Answer: 4
Step-by-step explanation:
<u>solve for the missing angle</u>
the total degrees a triangle can have is 180 so
![180-90-60=30](https://tex.z-dn.net/?f=180-90-60%3D30)
use <u>law of sines</u> to solve for x
![\frac{x}{sin30} =\frac{4\sqrt{3} }{sin60}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bsin30%7D%20%3D%5Cfrac%7B4%5Csqrt%7B3%7D%20%7D%7Bsin60%7D)
cross multiply
![sin60*x=4\sqrt{3} sin30](https://tex.z-dn.net/?f=sin60%2Ax%3D4%5Csqrt%7B3%7D%20sin30)
divide by ![sin60](https://tex.z-dn.net/?f=sin60)
![x=\frac{4\sqrt{3}sin30 }{sin60}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B4%5Csqrt%7B3%7Dsin30%20%7D%7Bsin60%7D)
type into calculator with (<em>ALPHA Y= </em>for a fraction on TI-84) MAKE SURE IT IS IN DEGREES