Answer:
tan(a) = -4/3
sec(a) = 5/3
Step-by-step explanation:
sine is opposite over hypotenuse. so no we have a triangle with a hypotenuse of 5 and an opposite side relative to some angle a of -4. the hypotenuse is never negative.
so draw a right triangle, mark one of the non right angles as a then the side opposite to that is -4 and the hypotenuse is 5. use the pythagorean theorem to find the remaining angle. The result could be positive or negative, but the questions specifically tells us we want the positive version.
b^2 + -4^2 = 5^2
b = 3
tangent is opposite over adjacent. for a we know the opposite is 3now so tan(a) = -4/3
Now, secant is 1/cos, so lets find cos(a)
cos is adjacent over hypotenuse, and we jsut found the adjacent is 3. so cos(a) = 3/5
Now 1/cos(a) = hypotenuse over adjacent so 5/3
What is the mean,median,mode,range of 0,0,1,3,3,4,5,5,7,7,7,7,7,10,18,50?
vodomira [7]
To find the median, we will list our numbers from least to greatest, and then cross out the smallest number and the biggest number.
0,0,1,3,3,4,5,5,7,7,7,7,7,10,18,50.
0,1,3,3,4,5,5,7,7,7,7,7,10,18.
1,3,3,4,5,5,7,7,7,7,7,10.
3,3,4,5,5,7,7,7,7,7.
3,4,5,5,7,7,7,7.
4,5,5,7,7,7.
5,5,7,7.
5,7.
Since we cannot find a middle number, add the last two numbers up and divide by 2.
5+7 = 12. 12/2=6.
Our median is 6.
The mean is the sum of all numbers divided by how many numbers we have.
0+0+1+3+3+4+5+5+7+7+7+7+7+10+18+50= 132.
We have 16 numbers total.
132/16 = 8.25.
Our mean is 8.25.
The mode is the number that appears the most within the given list.
7 appears the most.
Your mode is 7.
The range is the difference between the largest number and the smallest number.
Our largest number is 50 and our smallest number is 0. The difference of two numbers means to subtract. Subtract 0 from 50.
50-0 = 50.
Your range is 50.
I hope this helps!
The account be worth in 7 months is 375.725 .
<h3>What is the amount in simple interest?</h3>
Amount (A) is the total money paid back at the end of the time period for which it was borrowed. The total amount formula in case of simple interest can also be written as: A = P(1 + RT)
Here, A = Total amount after the given time period.
Given that,
P = $350, R = 1.05%, T = 7 month
The simple interest equation uses "t" as years, but is just cycles, using an APR rate.
now, if we never mind "t" as years and just use it as an interest cycle, then we can say the rate is 1.05% and the period is 7 cycles.
A = P(1 + RT)
= 350(1+1.05%×7)
= 350(1+0.0105×7)
= 350(1+0.0735)
= 350×1.0735
A = $375.725
Hence, The account be worth in 7 months is 375.725 .
To learn more about simple interest from the given link:
brainly.com/question/25793394
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