In this question, you need to use Pythagoras' Theorem, c^2 - b^2 = a^2. In this case, C is 14 and B is 6, so you would do 14^2 - 6^2 = 196 - 36 = 160, and the approximate square root of 160 is 12.6 inches, which is your answer.
I hope this helps!
So the correct answer is C .
Answer:
30 and 20 respectively
Step-by-step explanation:
Let the number of sofas to be built be s and the number of recliners be r.
For the time part, we have the following equation:
8s + 6r = 340
For the money part:
180s + 105r = 6750
Now let’s solve these equations simultaneously.
Let’s change the form of the second equation:
180s + 17.5(6r) = 6750
From the first equation, 6r = 340 - 8s
Insert this into the third equation
180s + 17.5(340-8s) = 6750
180s + 5950 - 140s = 6750
40s = 6750 - 5950
40s = 800
s = 20
Substitute the value into the first equation
8(20) + 6r = 340
6r + 160 = 340
6r = 180
r = 30
For this problem, I will use diagram.
First if all, we know that Kate used 1 cup of lemon juice and 2 cups sugar, so we have this:
1 cup of lemon juice=2 cups sugar
Then, the problem asked to find how many cups of lemon juice does Kate needs with 10 cups of sugar, and now we have have the complete tree diagram
1 cup of lemon juice= 2 cups of sugar
?cups of lemon juice=10 cups of sugar
Step 1:
Use cross multiply
10×1=10
Step 2:
Use division
10÷2=5
As a result, Kate will need 5 cups of lemon juice with 10 cups sugar
But there is another way to find the answer, too. If you curious, here is the second way:
The ratio between cup of sugar/cup of lemon juice, so
2 cups of sugar/1 cup of lemon juice. In conclusion, Kate use double amount of sugar than lemon juice, so the question asked us to find how many cups of lemon juice does Kate needs with 10 cups sugar. To find the answer, take 10÷2=5 cups of lemon of juice is your final answer. Hope it help!
