I'll do Problem 8 to get you started
a = 4 and c = 7 are the two given sides
Use these values in the pythagorean theorem to find side b
With respect to reference angle A, we have:
- opposite side = a = 4
- adjacent side = b =
- hypotenuse = c = 7
Now let's compute the 6 trig ratios for the angle A.
We'll start with the sine ratio which is opposite over hypotenuse.
Then cosine which is adjacent over hypotenuse
Tangent is the ratio of opposite over adjacent
Rationalizing the denominator may be optional, so I would ask your teacher for clarification.
So far we've taken care of 3 trig functions. The remaining 3 are reciprocals of the ones mentioned so far.
- cosecant, abbreviated as csc, is the reciprocal of sine
- secant, abbreviated as sec, is the reciprocal of cosine
- cotangent, abbreviated as cot, is the reciprocal of tangent
So we'll flip the fraction of each like so:
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Summary:
The missing side is 
The 6 trig functions have these results
Rationalizing the denominator may be optional, but I would ask your teacher to be sure.
The formula of an area of a triangle:
b - base
h - height
We have b = 8x and h = 7x. Substitute:
<h3>Answer: 28x²</h3>
It’s A! hope this helps you out!
There is the answer my guy it’s a picture
Answer:
70 fries and 35 shakes
Step-by-step explanation:
ASB is selling In-N-Out as a fundraiser. Fries cost $2 and shakes cost $3. Students can only buy one item each. ASB wants to know which sells better but they lose track of what they sold. They know 105 students bought either fries or a shake. They count their money and it’s $245. How many fries (x) and shakes (y) did they sell?
f = fries
s = shakes
To solve this we need to make two equations. Those equations being: f+s = y and 2f+3s = y. Now we will plug in all the values. f + s = 105 and 2f + 3s = 245. Now we will subtract f from 105 to get s. this makes s =105-f. We can then plug this into the other equation making the other equation: 2f+ 3(105-f) = 245. Now we will simplify this to get: 2f + (315 -3f) = 245. When we simplify it further we get: 315-f = 245.Now we will subtract 315 from both sides to get: -f = -70. now divide both sides by -1 and we get f = 70. Now we can plug that into the f+ s = y equation. 70 + s = 105. Subtract 70 from both sides and we have s. S = 35
