Answer:
x=5
Step-by-step explanation:
You can use the 30-60-90 rule or trigonometry to solve this.
<u>The 30-60-90 rules states...</u>
- the hypotenuse is 2x
- The long leg is
- the short leg is x
Ex: short leg is 7 which means the long leg is and the hypotenuse is 14
Therefore if the hypotenuse is 10 then x (short leg) should be 5
<u>Trigonometry also proves this...</u>
<u>Sine</u>
<u>Opposite</u>
<u>Hypotenuse</u>
Cosine
Adjacent
Hypotenuse
Tangent
Opposite
Adjacent
We will use SINE since we are trying to find the leg opposite to the 30 degree angle and the hypotenuse is already given (10)
(Use a calculator for this)
He spent 4 dollars on ice cream
Answer:
59 yards x 99 yards
Step-by-step explanation:
Soccer fields are rectangular. If the width is W and the length is L:
316 = 2W + 2L
5841 = WL
We have two equations and two variables. Start by solving for one of the variables in the first equation:
316 = 2W + 2L
158 = W + L
W = 158 − L
Substitute into the second equation
5841 = (158 − L) L
5841 = 158 L − L²
L² − 158 L + 5841 = 0
Factor (or use quadratic formula):
(L − 59) (L − 99) = 0
L = 59 or 99
Find W:
W = 99 or 59
Therefore, the dimensions of the soccer field are 59 yards by 99 yards.
Answer:
750.66 lbs. 750.67 750.68
Step-by-step explanation: