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tiny-mole [99]
3 years ago
11

56 is 70 precent of what number

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
8 0
To solve this problem, you can use the equation 56=70/100*x
and you have to solve for x

first simplify 70/100 by diving 10 to both denominator and numerator.
Which become 7/10

So the equation is now 56=7/10*x

Now, to solve for x, you have to move the variable (x) on one side and numbers at the other, equal sign being the fence.

so, with the equation 56=7/10*x, you should multiply 10/7 to both sides to make 7/10 to 1. Which becomes
80=x

Therefore, 56 is 70 percent of 80.

In case you didn't understand, sorry for my bad english. Here is my work
56 is 70 percent of what number?----> 56=70/100 of x

of=*(multiply)

56=70/100*x
56=7x/10
56*10/7=7x/10*10/7
80=x

tada!~

anzhelika [568]3 years ago
6 0
So percent means parts out of 100 so
70%=70/100=7/10
56=7/10 of x or
56=7/10x
multiply both sides by 10/7 to clear fraction (7/10 times 10/7=70/70=1)
56 times 10/7=x
560/7=x
80=x

the number is 80
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Roman55 [17]

Answer:

9. 66°

10. 44°

11. 2\sqrt{7}

12. 2\sqrt{3}

13. 27.3

14. 33.9

15. 22°

16. 24°

Step-by-step explanation:

9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:

120 + 80 = 200

360 - 200 = 160

12(5) + 6 = 66°

19(5) - 1 = 94°

94 + 66 = 160

10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:

68 x 2 = 136

180 - 136 = 44

11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:

a² + b² = c²

a² + 6² = 8²

a² + 36 = 64

a² = 28

a = \sqrt{28}

a = 2\sqrt{7}

12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:

a² + b² = c²

a² + 2² = 4²

a² + 4 = 16

a² = 12

a = \sqrt{12}

a = 2\sqrt{3}

13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:

Sin(47°) = \frac{20}{x}

x = 27.3

14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:

Tan(62°) = \frac{x}{18}

x = 33.9

15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:

cos(θ) = 52/56

θ = cos^-1 (0.93)

θ = 22°

16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:

sin(θ) = 4/10

θ = sin^-1 (0.4)

θ = 24°

Good luck!!

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3 years ago
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Answer:

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Best solution is to divide the area into two large rectangles then ADD them together to get the total area.

The only scenario where he could have subtracted something based on his plan is if he would have multiplied the 10m by the 12m then subtracted the area that is not part of his basement (7mx8m).  He would have achieved the same result of course, but by going a different way.

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