If angle ABC is 90°, then angle CBD is 90°:
Angle ABD=90°
3x°=90°
3x=90
Solving for x:
3x/3=90/3
x=30
Angle CBD=90°
(2x+3y)°=90°
2x+3y=90
x=30
2(30)+3y=90
60+3y=90
Solving for y:
60+3y-60=90-60
3y=30
3y/3=30/3
y=10
Answer: Option a. 10
Answer:
I think the answer is 33
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
The expected value of a toss is:
E(X) = (0.10) (3) + (0.30) (1) + (0.60) (0)
E(X) = 0.6
If she scores an average of 0.6 points per toss, then the expected number of tosses needed to get 12 points is:
12 / 0.6 = 20
Using a random number table, we can assign digit 0 as a 3-point hole, digits 1-3 as a 1-point hole, and digits 4-9 as no points. Read the digits and add the points until you get 12 points. The number of digits read is the number of beanbag tosses.
Answer:
Below
Step-by-step explanation:
To find surface area, you can just find the area of each side and add them up!
11 ft x 9 ft x 2 = 198 ft^2 (this is the surface area of the front and back)
12 ft x 9 ft x 2 = 216 ft^2 (this is the surface area of the sides)
12 ft x 11 ft x 2 = 264 ft^2 (this is the surface area of the top and bottom)
Surface area = 198 + 216 + 264
= 678 ft^2
Hope this helps! Best of luck <3
Answer:
Step-by-step explanation:
First question
1 solution
- 6p-12= - 5p Take 6p from both sides
- -12 = -5p - 6p Combine
- -12 = - 11p Divide by - 11
- -12/-11 = p
- 1.09 = p
Second Question
- Infinitely many solutions.
- 5p + 10 = 5p + 10
- No matter what value you use for p, the right side of the equation always equals the left side.
Third question
- y = 25 - 2x
- x = 6
- y = 25 - 2*6
- y = 25 - 12
- y = 13
There are 13 more stops to make.
