Answer: 4.25 inches of 4 and 1/4 inches.
Explanation: Use the information already given to you 1/4 of a inch = 8 ft. So if you have 4/4 of an inch that would equal one inch and one whole inch would equals 32 ft. ( 8 x 4 )Divide 136 by 32 and you’ll get your answer.
Answer:
He has to divide 12/3 first
Step-by-step explanation:
it’s like pemdas you have to do that first then you go on to added the 3+ whatever 12/3 is
2/25 will be the simplest form
Answer:
0.495
Explanation:
Given the expression:
![0.55-1.645\sqrt[]{\frac{0.55(1-0.55)}{220}}](https://tex.z-dn.net/?f=0.55-1.645%5Csqrt%5B%5D%7B%5Cfrac%7B0.55%281-0.55%29%7D%7B220%7D%7D)
Begin by simplifying the expression under the radical (square root) sign.
![\begin{gathered} =0.55-1.645\sqrt[]{\frac{0.55(0.45)}{220}} \\ =0.55-1.645\sqrt[]{\frac{0.2475}{220}} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D0.55-1.645%5Csqrt%5B%5D%7B%5Cfrac%7B0.55%280.45%29%7D%7B220%7D%7D%20%5C%5C%20%3D0.55-1.645%5Csqrt%5B%5D%7B%5Cfrac%7B0.2475%7D%7B220%7D%7D%20%5Cend%7Bgathered%7D)
Using a calculator, we evaluate the radical:
Answer:

Step-by-step explanation:
By definition,
and
. Since since
is negative,
must also be negative, and since
is positive, we must be in Quadrant II.
In a right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. The cosine of an angle in a right triangle is equal to its adjacent side divided by the hypotenuse. Therefore, we can draw a right triangle in Quadrant II, where the opposite side to angle theta is 8 and the hypotenuse of the triangle is 17.
To find the remaining leg, use to the Pythagorean Theorem, where
, where
is the hypotenuse, or longest side, of the right triangle and
and
are the two legs of the right triangle.
Solving, we get:

Since all values of cosine theta are negative in Quadrant II, all values of secant theta must also be negative in Quadrant II.
Thus, we have:
