The sides of a right triangle are related by trig functions of the acute angles. The relationships are described by the mnemonic SOH CAH TOA. The meaning of this is
.. Sin = Opposite/Hypotenuse
.. Cos = Adjacent/Hypotenuse
.. Tan = Opposite/Adjacent
Here, you are given the adjacent side and the hypotenuse for the angle. This means you can use the relation
.. Cos = Adjacent/Hypotenuse
Putting in the given information lets you find x.
.. cos(22°) = x/11
.. 11*cos(22°) = x ≈ 10.199
Answer:
Step-by-step explanation:
Since she already has 80$ in the account it will be the starting point.
To those 80$ she adds 25$/w.
Since the amount of week is what needs to be determined we'll refer to it as x.
So far we have 80 + 25x.
Now since she only wants to withdraw once she has at least 300$, it means that the amount has to be either equal to 300 or more than 300.
Which gives us
Answer:

Step-by-step explanation:
From the question we are told that:
Dimensions
Generally the equation for these similar right triangle is mathematically given by


Where


Therefore

Generally the Pythagoras equation for
ADB is mathematically given by






Therefore



Answer: 
Step-by-step explanation:
<u>Given function expression</u>
f(x) = -5x² - x + 20
Requirement of the question
Find the value of f(3)
<u>Substitute the values into the function</u>
f(x) = -5x² - x + 20
f(3) = -5(3)² - (3) + 20
<u>Simplify the exponents</u>
f(3) = -5(9) - 3 + 20
<u>Simplify by multiplication</u>
f(3) = -45 - 3 + 20
<u>Simplify by subtraction and addition</u>
f(3) = -48 + 20

Hope this helps!! :)
Please let me know if you have any questions