Answer:
When proving identities, the answer is in the explanation.
Step-by-step explanation:
I have two terms in this denominator here.
I also know that 
by Pythagorean Identity.
So I don't know how comfortable you are with multiplying this denominator's conjugate on top and bottom here but that is exactly what I would do here. There will be other problems will you have to do this.
Big note here: When multiplying conjugates all you have to do is multiply fist and last. You do not need to do the whole foil. That is when you are multiplying something like 
, the result is just 
.
Let's do that here with our problem in the denominator.
In that last step, I apply the Pythagorean Identity I mentioned way above.
Now You have a factor of cos(y) on top and bottom, so you can cancel them out. What we are really saying is that cos(y)/cos(y)=1.
This is the desired result.
We are done.
Answer:
see explanation
Step-by-step explanation:
1 loaf requires 565 g of flour , then
p loaves requires 565p g of flour
100 g is required for sprinkling , then
total amount of flour = 565p + 100
Equate expression to 3700 and solve for p
565p + 100 = 3700 ( subtract 100 from both sides )
565p = 3600 ( divide both sides by 565 )
p = 6.37168.....
Thus a maximum of 6 loaves can be made
Answers:
5. x = 1
6. y = 11.5
Step-by-step explanation:
For question 5, you can use power of a point which describes the relationship of two secants intersecting inside a circle. You get the formula:
AC * CD = BC * CE
You can substitute the values you are given to get:
2 * 4 = x * 8
This gives you x = 1
For question 6, you can use another formula in power of a point that describes two secants intersecting in the exterior of a circle. You get the formula:
GH * GJ = GI * GK
Using segment addition postulate, you get:
GJ = GH + HJ = 5 + 16 = 21
GK = GI + IK = 6 + y --> y + 6
Now, substitute into the equation from power of a point:
5 * 21 = 6 * (y + 6)
105 = 6 * (y + 6)
17.5 = y + 6
y = 11.5
You simply plug in the value of x in each equation to find y.
1)
y = 7 - 3(2)
y = 7 - 6
y = 1
2)
y = 18/2
y = 9
hope this helped, blessings!
Answer: 1.) √121= 11
Step-by-step explanation:
11•11=121
