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dedylja [7]
3 years ago
13

Triangle ABC is a right triangle with lengths shown. What is the decimal value of cos A? Round the answer to the nearest hundred

th if necessary

Mathematics
1 answer:
yulyashka [42]3 years ago
4 0
In order to solve this, you must learn the rhyme SOH-CAH-TOA
As formulas it is
S stands for sine, C stands for cosine, and T for tangent
For now you are trying to solve for cosine. The AH stands for adjacent over hypotenuse.
So find Angle A and look for the side closest to it, but not the longest side. This has a length of 22 and can be identified as the adjacent side.
 Next, the one with the length of 122 can be labeled as your hypotenuse since it is the longest side of a triangle.
You can now plug the numbers in:
cos \frac{22}{122}
This comes out to .9999950472
In this case we can round to the nearest hundreth
Answer is 1.00

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The population at Bishop High School is 2000 students in 2011. Every year the population decreases by 50 students
Artemon [7]

Answer:

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  • The projected population of the high school in 2015=1800
  • In <u>2019</u> the population be 1600 students

Step-by-step explanation:

Given: The population at Bishop High School students in 2011 =2000

Also,  Every year the population decreases by 50 students which implies the rate of decrease in population is constant.

So, the function is a linear function.

Let p be the population at t be the number of years since 2011.

Then, p=2000-50t

So at t=0, p=2000

In year 2015, t=4, substitute t=4 in the above equation ,we get

p=2000-50(4)\\\Rightarrow\ p=2000-200\\\Rightarrow\ p=1800

Hence, the projected population of the high school in 2015=1800

Now, put p=1600 in the function , we get

1600=2000-50t\\\Rightarrow50t=2000-1600\\\Rightarrow50t=400\\\Rightarrow\ t=\frac{400}{50}\\\Rightarrow\ t=8

Now, 2011+8=2019

Hence, in <u>2019</u> the population be 1600 students




6 0
3 years ago
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