Answer:
The distance from he ball to the goal is 11.85 feet (Approx) .
Step-by-step explanation:
As given
The angle of elevation from a soccer ball on the ground to the top of the goal is 34° .
If the goal is 8 feet tall.
Now by using the trigonometric identity .

As shown in the diagram given below

Perpendicular = AB = 8 feet
Base = BC
Put all the values in the identity .




BC = 11.85 feet (Approx)
Therefore the distance from he ball to the goal is 11.85 feet (Approx) .
Make it a mixed number
26/3 X 12/1
312/3 = 104
SO the answer is D
Answer:
The number of marbles Richard has 24 and John has 6.
Step-by-step explanation:
Richard has four times as many marbles as john.
If Richard have 18 to John they would have the same number.
Now, to find number of marbles each has.
Let the marbles of John be
.
And the marbles of Richard be 
According to question:

<em>Subtracting both sides by
we get:</em>

<em>Dividing both sides by 3 we get:</em>

<u><em>Marbles of John</em></u><em> =
</em>
<u><em>Marbles of Richard</em></u><em> =
</em>
Therefore, the number of marbles Richard has 24 and John has 6.
Answer:
49
Step-by-step explanation:
12 hotdogs per min × 8 minutes = 96
145-96= 49
So he will have 49 hotdogs left.