Answer:
120ft²
Step-by-step explanation:
If you look at the figure, we have 4 triangles. Two of the triangles have measurements of 5 feet and 16 feet. 5×16=80 Next, since they are triangles, we have to divide the area in half - 80÷2=40. Now, since there are two triangles with the same side lengths and same area, I would have to multiply 40 by 2, which gets us 80 again. Therefore, keep in mind that the last two steps were unnecessary.
So now we will solve for the smaller two triangles. 5×8=40, and I would do the same thing as I did for the previous two triangles, but if you remember, that was canceled out was not effective. Therefore, since the figures are triangles but they have the same area, we'll stick with 40.
So now we know that the area of the two pairs of triangles is 40 and 80. Add them together and you get 120, which is our answer.
The possible numbers that Melody could have picked are -4 and 4.
The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".
Given, Let x be the number Melody had chosen.
Thus, tripling the number will give 3x, and
squaring this will result to (3x)² which is equals to 9x².
Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:
9x²/2 ₋ 30 = 42
9x²/2 = 42 ₊ 30
9x²/2 = 72
9x² = 72 × 2
9x² = 144
x² = 144/9
x² = 16
x = ±√16
x = ±4
x = ₊4 or x = 4
hence melody could have picked ₊4 or ₋4 numbers.
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Answer:
Age of son = 6 years
Age of man = 5×6 = 30 years
Step-by-step explanation:
<u>GIVEN :-</u>
- A man is 5 times as old as his son. (In Present)
- 4 years ago , the man was 13 times as old as his son
<u>TO FIND :-</u>
- The present ages of the man & his son.
<u>SOLUTION :-</u>
Let the present age of son be 'x'.
⇒ Present age of man = 5x
4 years ago ,
Age of son = (Present age of son) - 4 = x - 4
Age of man = (Present age of man) - 4 = 5x - 4
The man was thirteen times as old as his son. So,
Now , solve the equation.
- Open the brackets in R.H.S.
- Take 5x to R.H.S. and -52 to L.H.S. Also , take care of their signs because they are getting displaced from L.H.S. to R.H.S. or vice-versa.
- Divide both the sides by 8
<u>CONCLUSION :-</u>
Age of son = 6 years
Age of man = 5×6 = 30 years
What one do u need help on
Answer:
11
Step-by-step explanation:
If you count the total values
it equals 11