1. 641
2. 65.4
3. 21+7=28 total marbles. The greatest number of groups would be 7, with 1 blue and 3 white.
4. 80% of 685= .80 x 685= 548 students.
Answer: Choice B) {3, 5, sqrt(34)}
=====================================
Explanation:
We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.
-----------
For choice A,
a = 2
b = 3
c = sqrt(10)
So,
a^2+b^2 = 2^2+3^2 = 4+9 = 13
but
c^2 = (sqrt(10))^2 = 10
which is not equal to 13 from above. Cross choice A off the list.
-----------
Checking choice B
a = 3
b = 5
c = sqrt(34)
Square each equation
a^2 = 3^2 = 9
b^2 = 5^2 = 25
c^2 = (sqrt(34))^2 = 34
We can see that
a^2+b^2 = 9+25 = 34
which is exactly equal to c^2 above. This confirms the answer.
-----------
Let's check choice C
a = 5, b = 8, c = 12
a^2 = 25, b^2 = 64, c^2 = 144
So,
a^2+b^2 = c^2
25+64 = 144
89 = 144
which is a false equation allowing us to cross choice C off the list.
"Table World" is quoting a better price
<u>Step-by-step explanation:</u>
The shop "Table World" is quoting a price of 140 inclusive of 17.5% VAT
that means 140 is the final price a customer needs to pay.
While other shop"Tables R us" is quoting a price of 120 without VAT
so we need to add VAT in the price to find out the final price
price+VAT on the price
=120+120*(17.5/100)
=120+120*0.175
=120+21
so final price =141
so comparatively "Table World" is quoting a better price
Answer:q=9
Step-by-step explanation:
Answer:
1,12 is your answer 1, 2x6-12
Step-by-step explanation:
