Let's choose 43° to be our angle. We know the opposite, and want to know the hypotenuse. Sine is the trig. we use for opposite over hypotenuse.
sinθ = opposite/hypotenuse
sin(43)=27/x
We want to isolate <em>x</em>, so that looks like:
x = 27/sin(43)
Therefore, the value of x is 27/0.682 or ≈39.589 or F
Answer:
A
Step-by-step explanation:
Looking at the function, we have;
V(t) = 1,000(1.06)^t
Mathematically, the amount earned on an investment that offers a particular constant percentage return to a particular number of years can be written as;
V = I(1 + r)^t
where V is the value of the investment after some certain number of years
I is the initial amount invested
r is the constant percentage increase
and t is the number of years.
Let’s now re-write what we can deduce in the question.
This is;
V(t) = 1000(1 + 0.06)^t
Thus what this 0.06 represents is r which is the constant interest rate
Answer:
Step-by-step explanation:
x-intercept: Set y = 0 and solve for x:
0 = mx + b, or mx = -b, or x = -b/m. x-intercept is then (-b/m, 0)
y-intercept: Set x = 0 and solve for y: y = m(0) + b, or y = b. y-intercept is then
(0, b).
Answer:
x = 1 ±2sqrt(5)
Step-by-step explanation:
2x^2-4x-9=29
Add 9 to each each side
2x^2-4x-9+9=29+9
2x^2-4x=38
Divide by 2
2/2x^2-4/2x=38/8
x^2 -2x =19
Complete the square
x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2
x^2 -2x +1 = 19+1
(x-1)^1=2 = 20
Take the square root of each side
sqrt((x-1)^2) = ±sqrt(20)
x-1 = ±sqrt(20)
Add 1 to each side
x-1+1 = 1 ±sqrt(20)
x = 1 ±sqrt(20)
Simplifying the square root of 20
x = 1 ±sqrt(4)sqrt(5)
x = 1 ±2sqrt(5)
Answer:$240.00
Step-by-step explanation:
$240.00
