Answer:
The ladder can reach a height of 22.6 feet.
Step-by-step explanation:
In order to find the height that the ladder can reach, you need to use the Pythagorean Theorem. The Pythagorean Theorem assumes that the house to the ground will form a right triangle and the leaning ladder is the hypotenuse. Using the formula: a² + b² = c², we can plug in the values that we know and solve for the missing variable. In this case we know the base of the triangle 'b' and the hypotenuse 'c': a² + 8² = 24² or a² + 64 = 576. To solve for a, we must first subtract 64 from both sides: a² + 64 - 64 = 576 - 64 or a² = 512. In order to find just the value of 'a', which represents the height, we need to take the square root of both sides: √a² = √512 or a ≈ 22.6 feet.
Answer:
A
=
706.5
ft
2
Step-by-step explanation:
A
=
π
(
15 ft
)
2
A
=
π
225ft
2
A
=
225
π ft
2
A
=
225
⋅
3.14 ft
2
Answer:
Step-by-step explanation:
Let the angles be 4x , 5x
4x + 5x = 180 { supplementary}
9x = 180
x = 180/9
x = 20
Larger angle= 5x = 5* 20 = 100
<span>n = 5
The formula for the confidence interval (CI) is
CI = m ± z*d/sqrt(n)
where
CI = confidence interval
m = mean
z = z value in standard normal table for desired confidence
n = number of samples
Since we want a 95% confidence interval, we need to divide that in half to get
95/2 = 47.5
Looking up 0.475 in a standard normal table gives us a z value of 1.96
Since we want the margin of error to be ± 0.0001, we want the expression ± z*d/sqrt(n) to also be ± 0.0001. And to simplify things, we can omit the ± and use the formula
0.0001 = z*d/sqrt(n)
Substitute the value z that we looked up, and get
0.0001 = 1.96*d/sqrt(n)
Substitute the standard deviation that we were given and
0.0001 = 1.96*0.001/sqrt(n)
0.0001 = 0.00196/sqrt(n)
Solve for n
0.0001*sqrt(n) = 0.00196
sqrt(n) = 19.6
n = 4.427188724
Since you can't have a fractional value for n, then n should be at least 5 for a 95% confidence interval that the measured mean is within 0.0001 grams of the correct mass.</span>
The answer is B, 2136
Explanation:
48-28 = 20. Now 20 times 20 equals 400, now remember that number.
Now 28 times 62 equals 1,736.
Now back to 400.
400+1736 equals 2,136.
Hope I helped you, please tell me if I am correct or not.
Enjoy your day!
:)
