Answer:
12, 160, 380
Step-by-step explanation:
Answer:
; 
Step-by-step explanation:
Score of the first two quizzes: 75 and 97
Let n represent the third score
Average score would be: 
.
Given that the average score fall between 85 and 90, this can be represented by the compound inequality as shown below:
Solve for n in each statement that makes up the compound inequality:
Multiply both sides by 3
Subtract 172 from each side of the inequality
Also,
Multiply both sides by 3
Subtract 172 from both sides of the inequality
Combining both together, the possible values of her third quiz score would be:
Answer:
200 cm^2
Step-by-step explanation:
Add up all areas
4 x 6 x 1/2 = 12
4 x 6 x 1/2 = 12
3 x 11 = 33
3 x 11 = 33
6 x 11 = 66
12 + 12 + 33 + 33 + 66 = 200
In order for the triangle to be isosceles, we have to set two lengths of the triangle equal to each other.
Let's take the lengths 5x-12 and x+20 and set them equal to each other.
5x - 12 = x + 20
Combine like terms by moving them over to their respective sides.
Subtract x from both sides of the equation.
4x - 12 = 20
Add 12 to both sides of the equation.
4x = 32
Divide both sides by 4.
x = 8
Check your answer by substituting.
5x - 12 = x + 20
5(8) - 12 = 8 + 20
40 - 12 = 28
28 = 28
Solution: x = 8
Answer: 7 π r² + π r³
Explanation:
1) The general formula for the volumen, V, of a cylinder with radius r and height h is:
V = π r² h
2) Now you have the condition that the height is 7 inches greater than the radius, that is:
h = 7 + r
3) Replace h with its expression
V = π r² (7 + r)
4) Expand the product (use distributive property):
V = π (7r²) + π r³ = 7 π r² + π r³
Answer: 7 π r² + π r³
