Answer:
Step-by-step explanation:
Given
The attached triangle
Required
Solve for x
Considering angle 45 degrees, we have:
--- cosine formula i.e. adj/hyp
Solve for y
In radical form, we have:
To solve for x, we make use of Pythagoras theorem
Substitute for y
Collect like terms
Solve for x
Answers:
1.) 18 lemons
2.) 80 minutes
Explanation:
Porportions are a lot like fractions. For the first question, you can make the fraction 6/8, or 3/4 simplified. This means that for every 8 cups of water, you need 6 lemons.
Then, to find the amount of lemons you need if you have 24 cups of water, you need to think about what×8= 24. If we divide 24 by 8, we get 3, so if we multiply our fraction by 3/3, we should get the answer.
If we do 6/8 × 3/3, we get 18/24. This means that we need 18 lemons if we were to use 24 cups of water.
For the next question, our fraction 15/60, for 15 cakes baked in 60 minutes. Now we need to divide 20 cakes by 15.
This question is a little different from the first one because there will be a decimal involved. If we do 20/15, we get 1⅓. This means that this time, we will multiply 15/60 by (1⅓)/(1⅓).
If we multiply 60 by 1⅓, we get 80, which is the number of minutes needed to bake 20 cakes.
Hope this helps :)
Answer:
Step-by-step explanation:
2/12 = 1/6
24 * 1/6 = 4
or
12/24 = 2/x
12 x = 48
x = 4
or the original width was twice the length
twice 2 is 4
Answer:
SAS
Step-by-step explanation:
