Answer:
√7 ≈ 2.646
Step-by-step explanation:
The law of cosines is applicable. It tells you ...
c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.
Filling in the given information, you have ...
c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7
c = √7 ≈ 2.646
The length of the third side is √7, about 2.646 units.
Answer:
20
Step-by-step explanation:
start by dividing 18 from 120(to find the amount of 18's in 120)
120 / 18 = 6.<u>6</u>
meaning there are 6.<u>6</u> sets of 18 in 120
multiply 3 by 6.<u>6</u>(since there's 3 miles for every 18 minutes)
3 x 6.<u>6</u> = 20
Answer:
4w + 9
Step-by-step explanation:
Area of rectangle = length x width (or base x height, depending on how you look at it).
It is given to you that:
Area = 8w + 18
Length = 2
Let: width = x
Plug in the corresponding terms with the corresponding words:
8w + 18 = 2x
Isolate the variable, x. Divide 2 from both sides of the equation:
(8w + 18)/2 = (2x)/2
x = (8w + 18)/2
w = (8w)/2 + (18)/2
w = 4w + 9
4w + 9 is the expression that represents the width of the rectangle.
~
Multiply both sides by d.
dm=a+64d
Flip the equation.
a+64d=dm
Add -64d to both sides.
a=dm−64d
Answer:
<u>a=dm−64d</u>
