Answer:
286 2/3 km
Step-by-step explanation:
Recalling that 1 hour = 60 minutes, we convert '3 hours 35 minutes' to
3 + (35/60) hours, or 3 35/60 hours, or 3.5833 hours.
Since distance = (rate)(time),
the distance driven by tim is (80 km/hr)(3.5833 hrs) = 286 2/3 km
Based on the definition of complementary angles, the two angles are: 49.4° and 40.6°.
<h3>What are Complementary Angles?</h3>
Angles that are complementary angles have a sum of 90 degrees.
Let the angle be represented as x
Complement of the angle = (90 - x)
Therefore, we would have:
x = (90 - x) + 8.8
x = 90 - x + 8.8
x = 98.8 - x
x + x = 98.8
2x = 98.8
x = 98.8/2
x = 49.4°
The second angle would be: 90 - 49.4 = 40.6°
The angles are 49.4° and 40.6°.
Learn more about complementary angles on:
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Answer:
Step-by-step explanation:
sin 45 = x/12
x = 12 sin 45
x = 6√(2)
answer is D
Part A: 16x=M
Part B: 16x+TY=M
Part C: 16x=580
/16 /16
x=36.25
Mary worked 36 hours and 25 minutes
Answer:
Solution given:
f(x)=x²
g(x)=x+5
h(x)=4x-6
now
23:
(fog)(x)=f(g(x))=f(x+5)=(x+5)²=x²+10x+25
24:
(gof)(x)=g(f(x))=g(x²)=x²+5
25:
(foh)(x)=f(h(x))=f(4x-6)=(4x-6)²=16x²-48x+36
26:
(hof)(x)=h(f(x))=h(x²)=4x²-6
27;
(goh)(x)=g(h(x))=g(4x-6)=4x-6+5=4x-1
28:
(hog)(x)=h(g(x))=h(x+5)=4(x+5)-6=4x+20-6=4x-14