Answer:
x > -17/2
Step-by-step explanation:
Step 1: Write inequality
-2x - 5 < 12
Step 2: Solve for <em>x</em>
<u>Add 5 to both sides:</u> -2x < 17
<u>Divide both sides by -2:</u> x > -17/2
Here, we can see that any number greater than -17/2 would work, so x could equal 01234718905731857013570 if we wanted it to, as long as it is greater than -8.5.
Answer:
50.29 yards^2
113.14 yards^2
62.85 yards^2
Step-by-step explanation:
Area of a circle = πr²
π = pi = 22/7
r = radius
original area
(22/7) x 4² = 50.29 yards²
New area
radius = 4 + 2 = 6
(22/7) x 6² = 113.14 yards²
Increase in the area of the patio = 113.14 yards² - 50.29 yards²=62.85
Answer:
c 1,320
Step-by-step explanation:
12 x 11 x 10 = 1,320
only one person can finish in each place
Answer:135 degrees
Step-by-step explanation: Because a octagon equals 1080 and since there are eight sides you divide it by 8 and get 135
Answer:
105.46 feet
Step-by-step explanation:
We know all three angles (60, 90, and 30), as well as one side, which is adjacent to the 60 degrees. We want to find the side opposite to the 60 degree angle. To do this, we can use tangent, utilizing both opposite and adjacent.
Using tan, we can say that tan(60) = x/58, with x representing the height of the lighthouse (minus 5, because Santos is 5 feet tall and he is measuring the angle from the top of his head). Multiplying both sides by 58, we can get that 58 *tan(60) = x = 100.46. Add 5 to that to get 105.46 feet as your answer.
