Answer:
Step-by-step explanation:
To answer the question, I assume that the given percentage is in terms of volume. The amount of bleach in gallons is the product of the amount of solution x and the decimal equivalent of the percentage. That would give answer equal to 0.70x. The answer is the second choice.
Answer:
x(t) = -1 + 4t
y (t) = 3 - 5t
Step-by-step explanation:
The end points of the line segment are (-1, 3) and (3, -2).
Let a = (-1,3) and b = (3,-2)
Now, find the value of (b-a)
(b-a) = ((3+1), (-2-3))
b-a = (4, -5)
Therefore, the parametrization of the given line segment is
r(t) = a + (b-a)t
r(t) = (-1,3) +(4,-5)t
r(t) = (-1+4t, 3-5t)
We can rewrite this as
x(t) = -1 + 4t
y (t) = 3 - 5t
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 :)
