Answer:
D. 19.6in
Step-by-step explanation:
ΔAFC is similar o ΔA'FC'. Therefore, their sides are in ration to one another:
FA/F'A'=AC/A'C'
9/(9+12)=8.4/A'C'
9/21=8.4/A'C'
3/7=8.4/A'C'
A'C'=8.4/(3/7)=19.6
Answer:
6
Step-by-step explanation:
Answer:
D. 1/16
Step-by-step explanation:
Evaluate: 2^-4
А. =100
В. -8ОО
С. -16
D. 1/16
Given
2^-4
= 1 / 2⁴
= 1 / (2 * 2 * 2 * 2)
= 1 / 16
Therefore,
2^-4 = 1/16
D. 1/16
Answer:
136 degrees
Step-by-step explanation:
From the above question, we are told that:
The measure of a tangent chord angle = 68 degrees
From circle theorems, we know that:
The measure of an angle formed by a tangent and chord(Tangent-chord angles ) is equal to half the measure of the intercepted arc.
Hence,
68° = 1/2 (measure of the intercepted arc.)
Let the Measure of the intercepted arc = x
68° = 1/2x
Divide both sides by 1/2
Measure of the Intercepted arc(x) = 68° ÷ 1/2
Measure of the Intercepted arc = 68° × 2
Measure of the Intercepted are = 136°
Therefore, the measure of the intercepted arc inside the angle is 136°
We have to evaluate the piecewise function for f(6). This means when x=6.
Now, we have to look at the conditions.
So when x≥0, we use the second function.
So 6>0, then, we use the second function.
Then:
![\begin{gathered} f(6)=7(6)+3 \\ f(6)=45 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%286%29%3D7%286%29%2B3%20%5C%5C%20f%286%29%3D45%20%5Cend%7Bgathered%7D)
Hence, the correct answer is option D.