On his 8 tests, Hong earned a total of 568 points. What was his mean number if points earned per test?
1 answer:
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Answer:
For right angle triangle,
we use Pythagoras theorem that is:
c =
For question 1:
c = ?
a = 40
b = 9
putting them in formula,
c =
c = 41
For question 2:
c = ?
a = 12
b = 13
putting them in formula,
c =
c = approximately 17.69181
For question 3:
c = 35
a = 20
b = ?
putting them in formula,
1225 = 400 +
= 1225 - 400
= 825
b = 5
For question 4:
c = 37
a = 20
b = ?
putting them in formula,
1369 = 400 +
= 1369 - 400
= 969
Taking square root on both sides
b = 31.12
Hope it helps.
Answer:
a. 1 1/8 b. 8/9
Step-by-step explanation:
You can set this up as a proportion to solve. For part a. we know that 2/3 of the road is 3/4 mile long. 2/3 + 1/3 = the whole road, so we need how many miles of the road is 1/3 its length. Set up the proportion like this:
Cross multiplying gives you:
The 3's on the right cancel out nicely, leaving you with
To solve for x, multiply both sides by 3/2:
gives you
That means that the road is still missing 3/8 of a mile til it's finished. The length of the road is found by adding the 3/4 to the 3/8:
So the road is a total of 1 1/8 miles long.
For b. we need to find out how much of 1 1/8 is 1 mile:
1 mile = x * 9/8 and
x = 8/9. When 1 mile of the road is completed, that is 8/9 of the total length of the road completed.