Answer:
B
Step-by-step explanation:
Answer:
f(8) = 192
Explanation:
f(x) varies directly with x²
This means that:
f(x) = kx²
where k is the constant of proportionality.
Now, we are given that:
f(x) = 75 at x = 5
Substitute to get k as follows:
f(x) = kx²
75 = k(5)²
75 = 25k
k = 3
This means that the equation is:
f(x) = 3x²
Now, to find f(x) at x = 8, all we have to do is substitute with x = 8 in the equation as follows:
f(8) = 3*(8)²
f(8) = 3*64
f(8) = 192
Hope this helps :)
Answer:
3 = ?
Step-by-step explanation:
The triangles are similar, so we can use ratios
15 12 -2
------ = --------------
15+? 12
15 10
------ = --------------
15+? 12
Using cross products
15 * 12 = 10 ( 15+?)
180 = 10 ( 15+?)
Divide each side by 10
18 = 15+?
Subtract 15 from each side
18-15 = 15+?-15
3 = ?
Answer:
Order of sides (shortest to longest):
CA < AB < BC
Step-by-step explanation:
Given that,
∠A = 8x - 2
∠B = 2x - 8
∠C = 94 - 4x
We know that, sum of three angles in a triangle is 180
So, ∠A + ∠B + ∠C = 180
8x - 2 + 2x - 8 + 94 - 4x = 180
x = 16.
∠A = 126°
∠B = 24°
∠C = 30°
Here we know the measure of angles, largest angle's opposite side is longest.
It means ∠A is largest angle and opposite side of ∠A is BC.
Second largest angle is ∠C, and opposite side of ∠C is AB.
Order of side (shortest to longest) is:
CA < AB < BC.
That's the final answer.