Pi*radius^2 gives you the circumference of the circle, add the rest of the equation and it’ll give you volume
Answer: 35.4 feet.
Step-by-step explanation:
Given data:
Height of the roof = 24 feet
Height of the ladder = 26 foot
Solution:
c^2 = a^2 + b^2
a = 24
b = 26
c^2 = 24^2 + 26^2
c = √576 + 676
c = √1252
c = 35.4 feet
The foot of the ladder is 35.4 foot away from the top of the ladder.
Its 163 bc their corresponding angles i think
Answer: the arithmetic sequence is
3, 10, 17, 24
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference. This means that the difference between the first term and the second term must equal the difference between the second term and the third term.
Considering the following sequences,
1) 4 - 1 = 3
9 - 4 = 5
There is no common difference and so, it is not an arithmetic sequence.
2) 10 - 3 = 7
17 - 10 = 7
The common difference is 7. So it is an arithmetic sequence.
3) 6 - - 5 = 11
10 - 6 = 4
There is no common difference and so, it is not an arithmetic sequence.
4) 2 - 1 = 1
4 - 2 = 2
There is no common difference and so, it is not an arithmetic sequence.
Answer:
x = -2; or x = -8
Step-by-step explanation:
Solve the quadratic function by completing the square. What are the missing pieces in the steps? -32=2(x^2+10)
-32+___=2(x2+10x+25)
18=2(x+5)^2
9=(x+5)^2
+-___=x+5
X=-2 or x=___
Solution:
From the first line:
-32+___=2(x2+10x+25)
Also, in the second line:
18=2(x+5)^2
Let the missing piece on line 2 be a, hence:
x² + 10x + 25 = (x + 5)² and -32 + a = 18
a = 18 + 32 = 50
-32 + 50 =2(x²+10x+25)
18 = 2(x+5)²
Dividing through by 2:
18 / 2= [2(x+5)² / 2]
9 = (x + 5)²
Taking square root of both sides:
√9 = √(x + 5)²
± 3 = x+5
Simplifying the equation to get:
3 = x + 5; -3 = x + 5
x = 3 - 5; or x = -3 - 5
x = -2; or x = -8
