Step-by-step explanation:
this creates a right-angled triangle.
the right angle (90°) being the angle between flag pole and ground.
the angle ground-wire is 50°.
because we know that the sum of all angles in a triangle is always 180°, we know then that the angle flagpole-wire is
180 - 90 - 50 = 40°
so, we have the situation to know 1 side and all angles.
to get the other sides we use best the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and related angles are always opposite of each other.
in our case now we have
24/sin(50) = wire/sin(90) = wire/1 = wire = 31.32977494... ft
so, the rounded answer is that the wire must be
31.3 ft long
Answer:
30 minutes to the park
Step-by-step explanation:
12/2 = 6 min per mile
6 x 5 = 30 mins for 5 miles
1000 millilitres = 1 litre
soda= 2 litres
apple juice = 2.5 litres
fruit punch = 1.5 litres
lemonade = 2 litres
2+2.5+1.5+2= 8 litres
10 - 8 = 2 litres
so, the combinations could be:
2 soda, 1 apple juice, 1 fruit punch and 1 lemonade
or
1 soda, 1 apple juice, 1 fruit punch and 2 lemonade
ANSWER
b=1, c=81, and d=9.
EXPLANATION
The given function is:
This function is the same as:
To find the inverse of this function, we interchange x and y.
Solve for y:
Take square root of both sides:
Hence,
b=1, c=81, and d=9.
Answer:
630
Step-by-step explanation:
the value of 7 in the tenths place is 70
the value of 7 in the hundredths place is 700
compare 700 and 70
So 700-70 = 630
