Answer:
angle V = 60 degrees
angle U = 90 degrees
angle W = 30 degrees
This is the last option
Explanation:
Part a: getting angle U:
Let's start by doing the Pythagorean check:
hypotenuse = sqrt [(side1)^2 + (side2)^2]
side1 = 3√3 and side2 = 3 cm
Substitute in the above equation:
hypotenuse = sqrt [ (3√3)^2 + (3)^2]
hypotenuse = 6 cm
This proves that the given triangle is right-angled at U
Therefore:
measure angle U = 90 degree
Part b: getting angle V:
cos theta = adjacent / hypotenuse
theta is angle V
adjacent side = 3 cm
hypotenuse = 6 cm
Therefore:
cos V = 3/6 = 1/2
V = 60 degrees
Part c: getting angle W:
We can get this using two methods:
Method 1:
Angles of triangle = 180
180 = 90 + 60 + angle W
angle W = 180 - (90+60) = 30 degrees
Method 2:
cos theta = adjacent / hypotenuse
theta is W
adjacent = 3√3 cm
hypotenuse = 6 cm
Therefore:
cos W = 3√3 / 6 = √3 / 2
W = 30 degrees
Hope this helps :)
Lateral surface are = 2( 1/2 x 11 x 11.9) + 2( 1/2 x 9 x 12.3)
Lateral surface area = 130.9 + 110.7 = 241.6 ft²
Answer: 241.6 ft² (Answer C)
For this case we must solve the following equation:
We apply distributive property on the right side of the equation:
We subtract 6y on both sides of the equation:
We subtract 6 from both sides of the equation:
Dividing by 6 on both sides of the equation:
So, the result is
Answer:
Answer:
18.75 mg
Step-by-step explanation:
We can model this problem using the exponencial equation:
y = yo * (1 + r)^x
Where y is the final value, yo is the inicial value, r is the rate and x is the amount of time.
In this problem, we want to find y after x = 4 hours (from 9am to 1pm), we have yo = 300 and r = -0.5 (for every hour, half the caffeine leaves the body). So we have that:
y = 300 * (1 - 0.5)^4
y = 300 * 0.5^4
y = 300 * 0.0625
y = 18.75 mg
