The volume of a cylinder is V = r2h. Solve for h (height) in this formula.
Answers
The volume of a cylinder is V = r² π h
r - radius of the base;
h = height;
π ≈ 3.14
Answer:
h = V / r² π
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Find the area of a regular octagon with an apothem 9.7 meters long and a side length of 8 meters.
Answers
Answer:
Equation is:
Length in yards is 16 yards.
Step-by-step explanation:
Let 'L' represent length in feet and 'y' in yards.
Given:
Length of the waterslide is,
Length in feet is three time its length in yards. Therefore,
Length in feet = 3 Length in yards.
∴
Dividing both sides by 3, we get:
Now, plug in 48 for 'L' and solve for 'y'. This gives,
Therefore, the length of the waterslide of length 48 feet in yards is 16 yards.
Question 3 options:
4g2 – g = g2(4 – g)
9g3 + 12 = 3(3g3 + 4)
24g4 + 18g2 = 6g2(4g2 + 3g)
35g5 – 25g2 = 5g2(7g3 – 5)
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Question 4 (1 point) Question 4 Unsaved
Which expressions are completely factored?
Choose all answers that are correct.
Question 4 options:
16y5 + 12y3 = 4y3(4y2 + 3)
18y3 – 6y = 3y(6y2 – 2)
20y7 + 10y2 = 5y(4y6 + 2y)
32y10 – 24 = 8(4y10 – 3)
Answers
4g2 – g = g2(4 – g) ⇒ should be: 4g² - g = g(4g - 1)
9g3 + 12 = 3(3g3 + 4) ⇒ should be: 9g³ + 12 = 3(3g³ + 4) TRUE
24g4 + 18g2 = 6g2(4g2 + 3g) ⇒ should be: 24g⁴ + 18g² = 6g²(4g² + 3)
35g5 – 25g2 = 5g2(7g3 – 5) ⇒ should be: 35g⁵ - 25g² = 5g²(7g³ - 5) TRUE
Question 4. Completely factored.
16y⁵ + 12y³ = 4y³(4y² + 3) FACTORED COMPLETELY
18y³ - 6y = 6y(3y² - 1)
20y⁷ + 10y² = 10y²(2y⁵ + 1)
32y¹⁰ - 24 = 8(4y¹⁰ - 3) FACTORED COMPLETELY
Answers
example: rise= 0, run=4, rise=0, run=8
Answers
The expression of (5a³ⁿ)³ in positive exponents using the law of indices is 125 a⁹ⁿ
How to make an expression a positive exponent?
The expression has exponents. Therefore, let's express it with a positive exponent.
Therefore,
(5a³ⁿ)³
Hence, let distribute the outside exponents(law of indices),
(5a³ⁿ)³ = 5³ × a³ⁿ ˣ ³
Therefore,
5³ × a³ⁿ ˣ ³
5 × 5 × 5 = 5³ = 125
a³ⁿ ˣ ³ = a⁹ⁿ
Hence,
(5a³ⁿ)³ = 125 a⁹ⁿ
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Answer:
It would be 125a^9n
6x + 2y =1
Choose the correct answer below.
parallel
only intersecting
perpendicular
coinciding
Answers
Answer:
The lines are parallel
Final answer:
The two lines, y = -3x + 8 and 6x + 2y = 1, are parallel because they both have the same slope of -3.
Explanation:
To determine whether the two lines are parallel, perpendicular, coinciding, or only intersecting, one must look at their slopes. The slope of a line in the form y = mx + b is given by 'm'.
If two lines have the same slope, they are parallel. If the product of their slopes is -1, they are perpendicular. If the lines have the same slope and same y-intercept, they coincide.
{p}The first line given is y = -3x + 8, so its slope is -3.
The second line, 6x + 2y = 1, needs to be rearranged into the form y = mx + b. If you subtract 6x from both sides and divide by 2, you get y = -3x + 0.5. Thus, the slope of the second line is -3 as well.
Since both lines have the same slope of -3, they are parallel.
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A) 13 x 10⁷
B) 42 x 10⁷
C) 67 x 10³
D) 76 x 10³