sin 28 = opposite / hypotenuse
sin 28 = 20/z
multiply by z
z sin 28 = 20
divide by sin 28
z = 20 / sin 28
z = 42.6
Choice B
The Pythagorean theorem tells you ...
... c² = a² + b²
... 13² = 12² + b² . . . . . fill in the given numbers
... 169 - 144 = b² . . . . .subtract 12²
... √25 = b . . . . . . . . . take the square root
... b = 5 . . . . . . The value of b you're looking for.
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The numbers {5, 12, 13} make what is called a "Pythagorean triple" a set of integers that satisfies the relation of the Pythagorean theorem. These, and the triple {3, 4, 5} are often seen in algebra problems. It can be worthwhile to remember these numbers.
Answer:
a) s1 is 4 km/h because it is given. t1 is 30 min. s2 is 8 km/h. d is 4 km because given
b) d2 is 2 km because he travels 30 min at 4 km/h which is 2 km
c) d2 is 2 km because he travels 30 min at 4 km/h which is 2 km and 4 km-2 km is 2 km
d) 2 km at 8 km/hour is 1/4 hour which is 15 minutes so t2 is 15 min.
e) 3:45+15 min is 4:00
Lets find the missing sides first
big triangle, we apply the Pythagorean theorem a^2+b^2=c^2
a^=13^2-5^=169-25=144, Square root of a=square root of 144=12
a=12
smaller triangle
5^2-3^2=b^2
25-16=9
b=4
Elm trail is 13km+5km=18km
Dogwood trail=12+5+4+3=24km
correct choices are 2 and 5
Answer:
Step-by-step explanation:
4^5 is equivalent to 4^2*4*3, which, in turn, is equivalent to:
16*64 = 1024.
Also:
8*128 = 1024, and
4*256 = 1024, and so on.