Answer:
θ = 36.86°
Step-by-step explanation:
Given that,
The shadow of a 60 foot pole is a 100 feet long.
We need to find the angle of elevation from the end of the shadow to the top of the pole.
Height, h = 60 foot
Hypotenuse, H = 100 feet
Using trigonometry to find it.
So, the angle of elevation is 36.86 degrees.
◆ Define the variables:
Let the calorie content of Candy A = a
and the calorie content of Candy B = b
◆ Form the equations:
One bar of candy A and two bars of candy B have 774 calories. Thus:
a + 2b = 774
Two bars of candy A and one bar of candy B contains 786 calories
2a + b = 786
◆ Solve the equations:
From first equation,
a + 2b = 774
=> a = 774 - 2b
Put a in second equation
2×(774-2b) + b = 786
=> 2×774 - 2×2b + b = 786
=> 1548 - 4b + b = 786
=> -3b = 786 - 1548
=> -3b = -762
=> b = -762/(-3) = 254 calorie
◆ Find caloric content:
Caloric content of candy B = 254 calorie
Caloric content of candy A = a = 774 - 2b = 774 - 2×254 = 774 - 508 = 266 calorie
Answer:
27
Step-by-step explanation:
So first we need to plug in 5 as the variable a and -7 as the variable b
4(5)-(-7)
Next we multiply the 4 and the 5 together to get 20
4(5) = 20 or 4 x 5 = 20
20-(-7)
Now we subtract negative 7 from 20
20-(-7) = 27
This can also be written as 20 plus 7 as a mathematical rule states: two negatives make a positive. So:
20-(-7) = 20 + 7
Both of these are equivalent in every sense of the word and give us our final answer of 27
There are a total of 16 movies to choose from and 6 of them are comedy. This means that you have a 38% of choosing comedy. But the chances of you not choosing comedy is 62%. And since your friend is also choosing, the chance of neither of you not choosing is cut in half.
So, the final answer of neither of you choosing comedy is 31%
(I don't know whether it's dependent or independent)
(1/2) / 5 = 1/2 * 1/5 = 1/10 of a lb
