Answer:
0.14
Step-by-step explanation:
14% describes 14 out of 100. It is written as 14 in the numerator and 100 in the denominator of a fraction. A percent is always written as the number over 100 as a fraction. “Out of 100” refers to the decimal place “hundredths.” 14% is 14 hundredths.
Answer:
14.6
Step-by-step explanation:
(231 - 158) / 5 = 14.6
Answer:
A.
B.
Step-by-step explanation:
A. The area of the shaded region = area of the whole large square - area of the 4 smaller squares
= (5x*5x) - 4(4*4)
Area of shaded region =
B. The expression, , is the difference of two perfect squares, 25x² and 64. Therefore, apply the rule of factoring difference of two perfect squares.
Thus,
Therefore, the expression of the are of the shaded region can be expressed in factored form as:
There are two circles with center A and D. The tangent line touches both point B and C. The given measurements are enough to solve for the missing value and the solution is shown below:
AB=9
BC=26
DC=8
Solve for the measurement of AC which the hypotenuse of legs AB and BC by Pythagorean theorem:
c²=a²+b²
c²=9²+26²
c=AC=27.51
Solve for angle of A
sin A=26/27.51
A=70.93°
Finally, we solve for the length of AD using SOH
sin 70.93°=AD/27.51
AD=26
The answer is 26.