In this case, we must use trigonometry to find the value of x:

Thus the value of x rounded to the nearest tenth is <u>8.2</u>
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Hope that helps!
Answer:
A
Step-by-step explanation:
We are given a parabola with a vertex point of (2, 1) and a <em>y-</em>intercept of <em>y</em> = 4.
And we want to determine another point on the parabola.
Recall that a parabola is symmetric along the axis of symmetry, which is the <em>x-</em>coordinate of the vertex.
Note that since the <em>y-</em>intercept of the parabola is <em>y</em> = 4, this means that a point on our parabola is (0, 4).
To get from (2, 1) to (0, 4), we move two units left and three units up.
Since the parabola is symmetric along axis of symmetry, another point on the parabola will be two units right and three units up. This yields (2 + 2, 1 + 3) or (4, 4).
Our answer is A.
A cone that is sliced through the vertex would make the shape of a triangle.
You are told the h eight is 10 cm and the radius is 4 cm.
The radius would be half the base, so the base would be 4 * 2 =8 cm.
The area of the triangle is found by multiplying the base by the height, then dividing by two.
Area = 8 x 10 = 80
80 / 2 = 40 square centimeters.
Answer:
Answers below
Step-by-step explanation:
a. Is x (approximately) a binomial random variable?
b. Give the probability distribution for x as a formula.
c. Find p(x = 2).
d. Find P(x <= 1).
Answer:
-12.8x - 20y + 8.4
Step-by-step explanation:
To do this you just multiply everything by negative 4
so we have 3.2x*-4 + 5y*-4 - 2.1*-4
This gives us
-12.8x - 20y + 8.4
The last term is positive because we multplied a negative by another negative