We can use the Cosine Law:
c² = a² + b² - 2 ac cos C
180² = 50² + x² - 2 · 50 · x · cos 150°
32,400 = 2,500 + x ² - 100 x · ( - √3/2 )
32,400 - 2.500 - x² = 100 x · 0.866
29,900 - x² = 86.6 x
- x² - 86.6 x + 29,900 = 0 / · ( - 1 )
x² + 86.6 x - 29,900 = 0
x 1/2 = ( - 86.6 +/- √(86.6² + 4 · 1 · (-29,900) )) / 2
x = ( - 86.6 + 356.6 )/ 2 ( other solution is negative )
x = 135
Answer: C ) 135 miles/hour
It’s either B or C if it’s being translated to the right it’s B but if it’s being translated to the left it’s C
Use the lists of multiples to answer the problem. Multiples of 8: 8, 16, 24, 32, 40, . . . Multiples of 12: 12, 24, 36, 48, 60,
patriot [66]
Answer:
24 minutes
Step-by-step explanation:
Look at the lists of multiples and find the first instance of the same number appearing in both lists.
Multiples of 8: 8, 16, 24, 32, 40, ...
Multiples of 12: 12, 24, 36, 48, 60, ...
The first number that appears in both lists is 24, so the answer is 24.
Answer: 24 minutes
Answer:
Step-by-step explanation:
Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures 
. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).
We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:
We use just the positive root, since we are looking for an actual length. then, the requested side is:
Answer:
-365
Step-by-step explanation:
-3x+7(-6-50)
- -3(-9)+7(-6-50)
- 27+7(-6-50)
- 27-42-350
- -15-350
- =-365
