Answer:
272.97 m^2
Step-by-step explanation:
first find the area of the square
14*14
196
then find the area of the semicircle
A=πr^2/2
A=3.14*7^2/2
79.97
add the two areas together
196+79.97
272.97 m^2
Answer is C. 1/169
first we find how many cards are jacks in a deck: 4 out of 52 cards.
4/52 = 1/13 ( We have a 1 in 13 chance of drawing a jack)
(1/13)(1/13) = 1/169
( because the first card is replaced, we know that we don't have to change probabilities)(it will still be a 4/52 chance of drawing a jack)
The diagram can be redrawn as,
The value of x and y can be determined as,
![\begin{gathered} \tan C=\frac{AB}{BC} \\ \tan 45^{\circ}=\frac{x}{7\sqrt[]{2}} \\ x=7\sqrt[]{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctan%20C%3D%5Cfrac%7BAB%7D%7BBC%7D%20%5C%5C%20%5Ctan%2045%5E%7B%5Ccirc%7D%3D%5Cfrac%7Bx%7D%7B7%5Csqrt%5B%5D%7B2%7D%7D%20%5C%5C%20x%3D7%5Csqrt%5B%5D%7B2%7D%20%5Cend%7Bgathered%7D)
![\begin{gathered} \cos C=\frac{BC}{AC} \\ \cos 45^{\circ}=\frac{7\sqrt[]{2}}{y} \\ y=14 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ccos%20C%3D%5Cfrac%7BBC%7D%7BAC%7D%20%5C%5C%20%5Ccos%2045%5E%7B%5Ccirc%7D%3D%5Cfrac%7B7%5Csqrt%5B%5D%7B2%7D%7D%7By%7D%20%5C%5C%20y%3D14%20%5Cend%7Bgathered%7D)
Thus, option (D) is the correct solution.
Step-by-step explanation:
a. 2(y-8)
= 2y-16
b. 3(x-5)
= 3x-15
c.6(b-4)
= 6b-32
d.7(d-2)
= 7d-14
e.5(2-y)
= 10-5y
f.3(4-t)
= 12-3t
g.5(b-a)
=5b-5a
h.7(2-h)
= 14-7h
I think 29 because Samantha is 5 year older than Luis
