Answer:
w=3 h=4
Step-by-step explanation:
14=2w+2h w=(3/4)h
substitute
14=2(3/4)h+2h
distribute
14=1.5h+2h
simplify
14=3.5h
divide both sides by 3.5
4=h
plug into original equation
w=(3/4)4
w=3
<u>ANSWER</u>=<u>5.2</u>
<u />
<u>EXPLANATION</u>
This triangle shows a example of the Pythagorean Theorem, which means the equation is gonna be
a^2+b^2=c^2
The variables <u>a </u>and <u>b </u>are the straight sides of the triangle, while the variable <u>c </u> is the curved side on the triangle, or what we are trying to find in this question.
Firstly let’s take the two sides that already have a number shown, also known in the Pythagorean Theorem as sides <u>a </u>and <u>b</u>.
2^2+4.8^2=c^2
Now we want to square the two given numbers to get the equation
4+23.04=c^2
Now we add the two given numbers that we have now squared to get the equation
27.04=c^2
The final step will now be to take the number (27.04) and square root it, which should give you the answer, <u>5.2</u>
Answer:
1. 16
2. Ram=70 Raj=110
3. d+2, d+4, d+6
Step-by-step explanation:
1. p+2=6
p=6-2
p=4
5p-4=5(4)-4
=20-4
=16
2. Raj=40+Ram
Ram+Raj=180
Ram+40+Ram=180
Ram+Ram=180-40
2Ram=140
Ram=140/2
Ram=70
Raj=40+70
Raj=110
3. d, d+2, d+4, d+6.
Problem 33
For each number, generate a factor tree. This is where you break a number down into smaller factors in a visual "tree" like style. The idea is to factor down to the prime factors and then you circle the common primes between each number. The values you circle are then multiplied if you circle more than one value in each tree.
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Problem 34
Xiao factored correctly but didn't pull out the GCF. So he didn't factor fully. In the case of 60 and 90, the GCF is 30. This is the largest shared factor between the two values. So we can pull out 30 to get
60+90 = 30*2+30*3 = 30*(2+3)
I'm basically using the distributive property in reverse. You can distribute the 30 back in and get 60+90 again. Notice how the inner stuff 2 and 3 have no factors in common other than 1.
Answer:
44 cookies
Step-by-step explanation:
add the remaining cookies to the ones he gave away
(8+14)=22
double that
22x2
answer
44
