Hello from MrBillDoesMath!
Answer:
f(2-k) = -2 + 5k
Discussion:
If f(x) = 8 - 5x
, then
f(2-k) = 8 - 5(2-k) =>
f(2-k) = 8 - 10 + 5k =>
f(2-k) = -2 + 5k
Regards,
MrB
1.) 8 to the second power which is 64 - 7
64-7=56
2.) 8(5-2) Parentheses first so 5-2=3
8x3=24
3.) 14 divided by 2= 7
4.) 5-8 divided by 4
-3 divided by 4= -0.75
Hope this helps!
Part 1) <span>In triangle PQR, mP= 43, PQ=7.5 and PR= 8.4. What is mR to the nearest degree?
we know that
the law of cosines establishes that
c</span>²=a²+b²-2*a*b*cos C
in this problem
c=QR
a=PQ=7.5
b=PR=8.4
C=angle P=43°
c²=a²+b²-2*a*b*cos C----> c²=7.5²+8.4²-2*7.5*8.4*cos 43°
c²=34.66--------> c=5.89
QR=5.9
applying the law of sines
7.5/sin R=5.9/sin 43-----> 7.5*sin 43=5.9*sin R---> sin R=7.5*sin 43/5.9
sin R=0.8669---------> R=arc sin (0.8669)----> R=60.11°----> R=60°
the answer Part 1) is the option
<span>D. 60
</span>
Part 2) <span>In triangle ABC mA=43, mB=62 and BC=22 in. What is AB to the nearest tenth of an inch?
we know that
</span>∠C=180-(62+43)-----> ∠C=75°
<span>
Applying the law of sines
22/sin 43=AB/sin 75------> AB=22*sin 75/ sin 43-----> AB=31.16 in
AB=31.2 in
the answer Part 2) is
</span><span>D.31.2</span>
Answer:
7 feet 6 inches
Step-by-step explanation:
5 yards = 15 feet
15 feet = 180 inches
180/2 = 90 inches
90 = 7.5 feet
Or 7 feet and 6 inches
