Answer:
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Step-by-step explanation:
Answer:
21 degrees
Step-by-step explanation:
To find this, we are going to use the appropriate trigonometric ratio
The right angle faces the length 22 which is the hypotenuse
The marked angle faces the length 8 which makes it the opposite
The trigonometric ratio that links the two is the sine
The sine is the ratio of the opposite to the hypotenuse
So, we have it that;
sine ? = 8/22
? = arc sine 8/22
? = 21 degrees
Answer:
A) 8.5 miles per gallon
Step-by-step explanation:
Given
Required
The IQR
This is calculated as:
Calculate 
Remove bracket
This means that:
is the mean of 5th and 6th item
From the given data:
So, we have:
Calculate 
Remove bracket
This means that:
is the mean of 15th and 16th item
From the data:
So:
Recall that:
Answer:
(9 - 4 x)/(x (2 x - 4))
Step-by-step explanation:
Simplify the following:
1/(2 x^2 - 4 x) - 2/x
Put each term in 1/(2 x^2 - 4 x) - 2/x over the common denominator x (2 x - 4): 1/(2 x^2 - 4 x) - 2/x = ((x (2 x - 4))/(2 x^2 - 4 x))/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4)):
((x (2 x - 4))/(2 x^2 - 4 x))/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4))
A common factor of 2 x - 4 and 2 x^2 - 4 x is 2 x - 4, so (x (2 x - 4))/(2 x^2 - 4 x) = (x (2 x - 4))/(x (2 x - 4)):
((x (2 x - 4))/(x (2 x - 4)))/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4))
(x (2 x - 4))/(x (2 x - 4)) = 1:
1/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4))
1/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4)) = (1 - 2 (2 x - 4))/(x (2 x - 4)):
(1 - 2 (2 x - 4))/(x (2 x - 4))
-2 (2 x - 4) = 8 - 4 x:
(8 - 4 x + 1)/(x (2 x - 4))
Add like terms. 1 + 8 = 9:
Answer: (9 - 4 x)/(x (2 x - 4))
P=2l+2w
150(2)+170(2)
300+340
640 m
