We can turn this word problem into the following equation:
x^2 + 85 = (x - 17)^2
x^2 + 85 = x^2 - 34x + 289
-85 -85
_______________________
x^2 = x^2 - 34x + 204
+34x +34x
_______________________
x^2 + 34x = x^2 + 204
-x^2 -x^2
____________________
34x = 204
Divide 34 on both sides
x = 6.
The number is 6.
Answer:
Step-by-step explanation:
Given that to save money, a local charity organization wants to target its mailing requests for donations to individuals who are most supportive of its cause.
Men women
Sample size 5 5
Mean rate 6.2 5.3
Mean diffference = 
Std error for difference = 0.25 (given)
Since we have two groups and also sample sizes are very small we can use t significant value for finding out confidence interval
df = 5+5-2 =8
t critical value for 80% two tailed = 1.397
Conf interval 80%
=
Answer:
x = 17
Step-by-step explanation:
Direct variation is given by
y = kx where k is the constant of variation
-35 = k*7
-35/7 = k
-5 = k
y = -5x
We know y = -85
-85 = -5x
Divide each side by -5
-85/-5 = x
17 =x
Answer:
Height is 21cm
Step-by-step explanation:
Volume of the cylinder = 1029pi
Base area = 7x7xpi = 49pi
Therefor the height = 1029pi/49pi=1029/49 = 21cm
First, draw a diagram. The datum level would be where the helicopter is at up in the sky. An angle of depressing means that instead of rising, the angle start from the horizontal and moves clockwise. Then, you have the altitude which forms a vertical line opposite to the 18 degrees. You are to find x which is adjacent to the 18 degrees. Since the diagram forms a right angle, you use the tangent function:
tangent 18 = opposite / adjacent
tangent 18 = 1560 / adjacent
adjacent = 4,801.19
Thus, the horizontal distance is 4,801.19 ft
