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Given : Two inequality is given to us . The inequality is v + 8 ≤ -4 and v - 6 ≥ 10 .
To Find : To write those two inequality as a compound inequality with integers .
Solution: First inequality given to us is v + 8 ≤ -4 . So let's simplify it ;
⇒ v + 8 ≤ -4 .
⇒ v ≤ -4 - 8.
⇒ v ≤ -12 .
Now , on simplifying the second inequality ,
⇒ v - 6 ≥ 10 .
⇒ v ≥ 10 + 6.
⇒ v ≥ 16 .
Hence the required answer will be :
First one implies that v is less than or equal to -12 whereas the second one implies that v is greater than or equal to 16 .
Answer:
cos(Θ) = 84/85
Step-by-step explanation:
See the attachment.
Sine is opposite divided by hypotenuse. Here, the "opposite" side is -13 and the hypotenuse is 85. Cosine is adjacent divided by hypotenuse. The "adjacent" side is the unlabelled length. We find this by using the Pythagorean Theorem:
b =
So, cos(Θ) = 84/85
Hope this helps!
