Answer:
80+30h
Step-by-step explanation:
we are given
A cookie recipe uses 1/2 teaspoon of vanilla with 3/4 cup of flour
so,
![\frac{3}{4} flour=\frac{1}{2}vanilla](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20flour%3D%5Cfrac%7B1%7D%7B2%7Dvanilla)
we can find for 1 cup of flour
so, we will multiply both sides by 4/3
![\frac{4}{3}\times \frac{3}{4} flour=\frac{4}{3}\times \frac{1}{2}vanilla](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Ctimes%20%5Cfrac%7B3%7D%7B4%7D%20flour%3D%5Cfrac%7B4%7D%7B3%7D%5Ctimes%20%5Cfrac%7B1%7D%7B2%7Dvanilla)
![1 flour=\frac{2}{3}vanilla](https://tex.z-dn.net/?f=1%20flour%3D%5Cfrac%7B2%7D%7B3%7Dvanilla)
now, we can find for 5 cup of flour
so, we will multiply both sides by 5
and we get
![5\times 1 flour=5\times\frac{2}{3}vanilla](https://tex.z-dn.net/?f=5%5Ctimes%201%20flour%3D5%5Ctimes%5Cfrac%7B2%7D%7B3%7Dvanilla)
...............Answer
Answer:
6π
Step-by-step explanation:
First we need to find the circumference of the circle. We know that the radius is 4 and the formula is πd or 2πr
Leaving it in terms of pi, the circumference is 8π
Now we need to find the length of the arc.
Since the missing part of the circle is labeled with a right angle, we know that it's exactly 1/4 of the whole circle. That means the arc we need to find is 3/4 of the circumference.
3/4 of 8π is 6π
Answer:
degrees
Step-by-step explanation:
Sum of 3 angles in a triangle is 180..
The angles given are:
60
7x + 12
1
So we sum to 180 and write:
![60+7x+12+\angle 1=180\\72+7x+\angle 1=180\\7x+\angle 1=108](https://tex.z-dn.net/?f=60%2B7x%2B12%2B%5Cangle%201%3D180%5C%5C72%2B7x%2B%5Cangle%201%3D180%5C%5C7x%2B%5Cangle%201%3D108)
Also, straight angle is 180 degrees, thus Angle 1 and (14x + 9) angle is sum to 180, thus we can write:
![14x+9+\angle 1=180\\14x + \angle 1=171](https://tex.z-dn.net/?f=14x%2B9%2B%5Cangle%201%3D180%5C%5C14x%20%2B%20%5Cangle%201%3D171)
Or we can write this as:
![14x + \angle 1=171\\\angle 1 = 171 - 14x](https://tex.z-dn.net/?f=14x%20%2B%20%5Cangle%201%3D171%5C%5C%5Cangle%201%20%3D%20171%20-%2014x)
We substitute this expression for Angle 1 into 1st equation we got and solve for x first,
![7x+\angle 1 = 108\\7x+( 171 - 14x)=108\\-7x=-63\\x=9](https://tex.z-dn.net/?f=7x%2B%5Cangle%201%20%3D%20108%5C%5C7x%2B%28%20171%20-%2014x%29%3D108%5C%5C-7x%3D-63%5C%5Cx%3D9)
Since x = 9, the angle "14x + 9" would be:
14(9) + 9 = 135
Hence Angle 1 would be:
![\angle 1 + 14x + 9 = 180\\\angle 1 + 135 = 180\\\angle 1 = 45](https://tex.z-dn.net/?f=%5Cangle%201%20%2B%2014x%20%2B%209%20%3D%20180%5C%5C%5Cangle%201%20%2B%20135%20%3D%20180%5C%5C%5Cangle%201%20%3D%2045)