For this case, the first thing we must do is apply the law of the sine.
We then have the following expression:
sine (65) / x = sine (104) / 36
Clearing the value of x we have:
x = (sine (65) / sine (104)) * (36)
x = 33.6 feet
Answer:
The distance between the sandbox and garden is:
x = 33.6 feet
Answer:
(2, -10)
Step-by-step explanation:
so first i find the axis of symmetry using the equation x= -b/2a
in this problem
a=3
b= -12
c= 2
- (-12)/ 2(3) = 2
2 will be the x point for your vertex
you then plug in your x point into the original equation and solve for y
y = 3(2)^2 - 12(2) +2
y = -10
Vertex is then (2, -10)
Answer:
$20.40
Step-by-step explanation:
20% off means that the new price of the skirt will be 80% of the original price:
$30(100% – 20%) = $30(80%)
Converting the percent to a decimal gives:
$30(0.8) = $24.00
There is an additional 15% off the sale price of $24.00, so the final price is 85% of the sale price:
$24(100% – 15%) = $24(85%)
Again converting the percent to a decimal gives:
$24(0.85) = $20.40
Answer:
Getting through ratio method
100-20=80 percent have to pay
18:80
<em>x</em>:100
cross multiply
80 x <em>x=1</em>8 x 100
80x=1800
x=1800/80
x=22.5
So the original price was $22.50
Step-by-step explanation:
Answer:
T = 91
Step-by-step explanation:
Simplifying
T + -15 = 76
Reorder the terms:
-15 + T = 76
Solving
-15 + T = 76
Solving for variable 'T'.
Move all terms containing T to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + T = 76 + 15
Combine like terms: -15 + 15 = 0
0 + T = 76 + 15
T = 76 + 15
Combine like terms: 76 + 15 = 91
T = 91
Simplifying
T = 91
