Answer:
The length of AB is 4.33012701892
Step-by-step explanation:
1. You find 10*sin(60 degrees), because sin(60 degrees) = x/CT, and CT = 10. That means that sin(60 degrees) = x/10. You multiply by 10 on both sides, which would mean that x = 10sin(60 degrees) and that AT = 8.66025403784 because x is AT.
2. Then, because the relation between AT and AB and Angle T is sine, you use cosine to find x. If you do that, you find that the equation is sin(30 degrees) = x/8.66025403784. That means that 8.66025403784*sin(30 degrees) = x. If you calculate that, you find that x = 4.33012701892, and AB is x.
|-8•5|
8•5
35
The answer is 35 I hope it helps :)
SOLUTION
Let the two integers be x and y.
Now, the product of x and y, is 80, that is
The quotient of x and y is 5, that is
From equation 2, make x, the subject, we have
Now substitute the x for 5y into equation 1, we have
![\begin{gathered} xy=80 \\ 5y\times y=80 \\ 5y^2=80 \\ \text{dividing by 5} \\ y^2=\frac{80}{5} \\ y^2=16 \\ \text{take square root of both sides } \\ \sqrt[]{y^2}=\sqrt[]{16} \\ \text{square cancels root} \\ y=4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20xy%3D80%20%5C%5C%205y%5Ctimes%20y%3D80%20%5C%5C%205y%5E2%3D80%20%5C%5C%20%5Ctext%7Bdividing%20by%205%7D%20%5C%5C%20y%5E2%3D%5Cfrac%7B80%7D%7B5%7D%20%5C%5C%20y%5E2%3D16%20%5C%5C%20%5Ctext%7Btake%20square%20root%20of%20both%20sides%20%7D%20%5C%5C%20%5Csqrt%5B%5D%7By%5E2%7D%3D%5Csqrt%5B%5D%7B16%7D%20%5C%5C%20%5Ctext%7Bsquare%20cancels%20root%7D%20%5C%5C%20y%3D4%20%5Cend%7Bgathered%7D)
Now substitute y for 4 into any of the equations.
Let us use equation 1 again, we have
Hence the answer is 4, 20
Alright so your budget is 154 so that already means you cant spend more than
$154. So the uniform is $12 so the inequality could start as:
154 is less than or equal to 12 plus the number of karate classes, which would be;
154 ≤ 12 + 8c
so the answer is B
B. 154 ≤ 12 + 8c
If I helped please mark as brainliest thanks.
