Answer:
Therefore,
AD = 7 unit
AE = 600 unit
EF = 30 unit
FB = 5 unit
Ar(EFGH)= 210 unit²
Ar(ABCD)= 4445 unit²
Step-by-step explanation:
Given:
Consider a rectangle ABCD as shown in the figure below where,
Area (ABCD) = 635 × 7 = 4445
Therefore length and width of a rectangle will be
LENGTH =635 = AB
WIDTH = 7 = AD
To Find:
AE =?
EF = ?
FB = ?
Ar(EFGH)=?
Ar(ABCD) =?
Solution:
We know that area of the rectangle is given by


Substituting the values we get

Similarly for area rectangle FBCG,

Now we have
AB = 635,

Similarly for area rectangle EFGH,

Therefore,
AD = 7 unit
AE = 600 unit
EF = 30 unit
FB = 5 unit
Ar(EFGH)= 210 unit²
Ar(ABCD)= 4445 unit²
Step-by-step explanation:
<u>Part 1</u>
To find out the amount of water ten big water bottles can hold, we have to find out how much water is in each water bottle. To do this, we divide the amount we are looking for by the number of items.
8 ÷ 4 = 2
Part 1 answer: Each water bottle can hold <u>2 gallons</u> of water.
<u>Part 2</u>
Now that we know the amount of water in each water bottle, we can find out how much water 10 water bottles can hold. To do so, we multiply our previous answer, 2, by the number of items (10).
2 • 10 = 20
Part 2 answer: 10 water bottles can hold <u>20 gallons</u> of water.
Our final answer: 20 gallons
I hope this helps you!
Answer: 149,150,151
Step-by-step explanation:
1.st solution
Let the smallest number is x.
So next consecutive number is x+1
So the third consecutive number is x+2
So the sum of these three numbers is:
x+x+1+x+2=450
3x+3=450
3x=447
x=149 - first number
Second number is 149+1=150
Third number is 150+1=151
2-nd solution
The sum of 3 numbers in row is 450. It means that average number is 450:3=150 - is the number which is in the middle
So the first one number is 150-1=149 and the third number is 150+1=151
Answer:
x = 1/25
Step-by-step explanation:
Solve for x:
25 = 1/x
25 = 1/x is equivalent to 1/x = 25:
1/x = 25
Take the reciprocal of both sides:
Answer: x = 1/25
So we first minus 6 both sides
7x^2-14x=-6
then we have
A(x^2-2x)=-6
what is A?
hmm (this should be painfully obvous, but if not, here are steps)
7x^2-14x=-6
A(x^2-2x)=-6
7x^2-14x=-6=A(x^2-2x)
7x^2-14x=A(x^2-2x)
undistribute 7
7(x^2-2x)=A(x^2-2x)
divide both sides by (x^2-2x)
7=A
A=7