Apples = $.30
Peaches = $.60
You can get this by setting up a system of equations that looks like this.
2x + 3y = 1.65
3x + 2y = 1.60
Where x is the amount of apples and y is the number of peaches. Then you can solve using any of the methods (I would suggest elimination for ease).
Answer:
35%
Step-by-step explanation:
Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Step-by-step explanation:
Part 1) Find the measure of arc AB
we know that
----> by central angle
we have
therefore
Part 2) Find the measure of arc ABC
we know that
The central angle of complete circle is equal to 360 degrees
so
Part 3) Find the measure of arc BAC
we know that
----> by angle addition postulate
we have
---> by central angle
---> by central angle
so
Part 4) Find the measure of arc ACB
we know that
The central angle of complete circle is equal to 360 degrees
so
substitute
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:
------------------------------------------------------
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.
A unit rate is a ratio that has a denominator of 1. A unit rate is also called a unit ratio. (They mean the same thing.)
\frac{5}{4} and 3:8 and 40\mbox{ to }10 are ratios, but they are not unit ratios.
\frac{1.25}{1} and 0.375:1 and 4\mbox{ to }1 are unit ratios.
Any ratio can be converted into a unit ratio by dividing the numerator and the denominator by the denominator.