Answer:
95.03in.^2
Step-by-step explanation:
Use the formula, A= pi r^2 and D=2r
A=1/4pi d^2=1/4 times pi time 11 squared
Answer: The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
Let x represent the number of 3-point questions.
Let y represent the number of 5-point questions.
The maths test consists of 24 questions. This means that
x + y = 24
Each question is worth either 3 points or 5 and the test is worth 100 points. This means that
3x + 5y = 100 - - - - - - - - - - -1
Substituting x = 24 - y into equation 1, it becomes
3(24 - y) + 5y = 100
72 - 3y + 5y = 100
- 3y + 5y = 100 - 72
2y = 28
y = 28/2 = 14
Substituting y = 14 into x = 24 - y , it becomes
x = 24 - 14 = 10
Answer: 
Step-by-step explanation:
1. If you join the top part and the bottom part of the figure, you obtain a sphere. Then, you must apply the formula for calculate the surface area of a sphere:
Where r is the radius (
)
2. Then:
3. The formula for calculate the suface area of the red part, which is a cylinder, is:
Where h is the height (h=32mm)
4. Then:
5. So, the total surface area is:
Just multiply the with and the length by four (considering the scale factor is 4)
3x4=12 and 7x4=28
Answer:
2/7 = 4/14
3:3 = 6:6
1/2 = 2/4
2.5:6 = 5:12
Step-by-step explanation:
For the first one, we can multiply the numerator and denominator of the fraction by 2 to get an equivalent fraction which is 4/14
For the second one we can multiply each side by 2 to get the ratio of 6:6
For the third one we can multiply the numerator and denominator by 2 to get 2/4
For the last one we can multiply each side by 2 to get 5:12
