13. Answer: n ≥ 108
<u>Step-by-step explanation:</u>
18 ≤ n ÷ 6
<u>×6 </u> <u> ×6 </u>
108 ≤ n → n ≥ 108
Note: The line under the inequality symbol represents a closed dot
Graph: 108 ·---------------→
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14. Answer: x > -4
<u>Step-by-step explanation:</u>
-3x < 12
<u>÷(-3) </u> <u>÷(-3) </u>
x > -4 <em>Flip the inequality sign when × or ÷ by a negative </em>
Note: No line under the inequality symbol represents an open dot
Graph: -4 o-----------→
The perimeter would be about 34.4 because if you choose the bottom side to be ten, by multiplying 35 by 2 to get 70 you can divide by 10 to get 7. Since you know the height and width, you can use pythagorean theorem, a^2 + b^2 = c^2. Plug in the numbers you have 10^2+7^2=c^2. c^2=149, so if you square root 149 you will get a irrational number but when rounded you get 12.2- so that is one side multiply by 2 and get 24.4- and add 10 to get 34.4
I think the answer is 0.3
First let's find the angles a and b.
We have then:
sin a = 4/5
a = Asin (4/5)
a = 53.13 degrees.
cos b = 5/13
b = Acos5 / 13
b = 67.38 degrees.
We now calculate cos (a + b). To do this, we replace the previously found values:
cos ((53.13) + (67.38)) = - 0.507688738
Answer:
-0.507688738
Note: there is another way to solve the problem using trigonometric identities.
