The answer is the first option, <-20, -42>.
We can find this by first finding what -2u would equal by multiplying <5, 6> by -2. This gives us <-10, -12>.
Then we need to find out what 5v is equal to, by multiplying <-2, -6> by 5 to get <-10, -30>.
Now that we know what -2u and 5v are, we can substitute them into the equation and get
<-10, -12> + <-10, -30>, which we can split up into -10 - 10 = -20, and -12 - 30 = -42, so your final answer is <-20, -42>.
I hope this helps!
The smaller sector is 360-255=105 degree
it is 105/360 portion of the whole circle, and the area of the whole circle is πr², r is 14
so the area of the smaller sector is (105/360)*π*14²
run those numbers through your calculator, use 3.14 for π, you get 179.5
if you are looking for area of the larger sector, it would be
(255/360)*π*14²=435.94
Answer:
Step-by-step explanation:
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Answer:
Tan T = 7/24
Step-by-step explanation:
Firstly, please check attachment to have a picture of the triangle we are solving.
Now, we are concerned with calculating the ratio that represents the tangent of angle T.
Mathematically, the tangent of an angle is the ratio of the length of the opposite to the length of the adjacent.
In this question, our opposite is 7 while the adjacent is 24.
Thus Tan T = 7/24
