Sine law to find angle R
![\displaystyle \frac{\sin R}{122}= \frac{\sin 64}{187.5} \\ \\ \sin R = \frac{122\sin 64}{187.5} \\ \\ R = \sin^{-1} \left[ \frac{122\sin 64}{187.5} \right] \\ \\ R \approx 35.7899447211](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B%5Csin%20R%7D%7B122%7D%3D%20%5Cfrac%7B%5Csin%2064%7D%7B187.5%7D%20%5C%5C%20%5C%5C%0A%5Csin%20R%20%3D%20%20%5Cfrac%7B122%5Csin%2064%7D%7B187.5%7D%20%5C%5C%20%5C%5C%0AR%20%3D%20%5Csin%5E%7B-1%7D%20%5Cleft%5B%20%5Cfrac%7B122%5Csin%2064%7D%7B187.5%7D%20%5Cright%5D%20%5C%5C%20%20%5C%5C%0AR%20%5Capprox%2035.7899447211)
All angles in triangle add to 180 so we can find angle P
P = 180 - R - Q
P = 180 - 35.7899447211 - 64
P = 80.2100552789
sine law with angle P to find length of RQ
or use cosine law
either way the answer is 205.57 feet
Answer:
Step-by-step explanation:
You start with creating let statements.
Let x = the cost of each pencil.
Let y = the cost of each eraser.
Let z= the cost of each pen.
Then, you’d fill in information from the problem.
3x + 4y = 65
2z + y = 35
Now, you’d solve like a system of equations; meaning you can do elimination or substitution.
Lets make x equal the the age of the younger man and y equal the age of the older man.
You are given x+y=76 and you can make the equation 2x+16=y since we are told that the older one is 16 more than twice the age of the younger one. Since we have 2 equations and with the same variable and one has y already written in terms of x (y=2x+16) i will use substitution and make the given equaton all in terms of x.
x+(2x+16)=76 (solve this for x)
3x+16=76
3x=60
x=20
Then you can solve for y using the equation the equaion x+y=76 since we now know x=20.
20+y=76
y=56
Second equation is y=2x+16 (can also be written as y-2x=16)
x=20
y=56
I hope this helps. If anything is unclear or you just want further explanation please let me know in the comments.
Answer:
<u>B. 2</u>
To find MAD, find the mean of the set, then find how far each number is from the mean. Next, find the mean of THAT set of numbers. Yea, I know it's a bit confusing... don't worry!
Find the mean of the set:
12 + 10 + 10 + 8 + 6 + 7 + 7 + 12
72
72 / 8
<u>9</u>
Find how far each number is from 9:
12 - 9 = <u>3</u>
10 - 9 = <u>1</u>
10 - 9 = <u>1</u>
9 - 8 = <u>1</u>
9 - 6 = <u>3</u>
9 - 7 = <u>2</u>
9 - 7 = <u>2</u>
12 - 9 = <u>3</u>
Find the mean of that number set:
{3, 1, 1, 1, 3, 2, 2, 3}
3 + 1 + 1 + 1 + 3 + 2 + 2 + 3
16
16 / 8
<u>2</u>
<u>So the answer is 2!</u>
Not so hard after all :D
<h3>
Answers:</h3>
Variation Constant: k = 7/6
y = 245/6 when x = 7 and z = 5
====================================
Explanation:
"y varies jointly as x and z" means that y = kxz
We have (x,y,z) = (4,14,3) as one triple, so,
y = kxz
14 = k*4*3
14 = 12k
12k = 14
k = 14/12
k = 7/6 is the variation constant
The equation goes from y = kxz to y = (7/6)xz
----------------
Plug in x = 7 and z = 5 to find y
y = (7/6)xz
y = (7/6)*7*5
y = (7/6)*(7/1)*(5/1)
y = (7*7*5)/(6*1*1)
y = 245/6
