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masya89 [10]
2 years ago
9

(2/5) power of 2 as a fraction.Please help.khan academy.

Mathematics
1 answer:
Temka [501]2 years ago
3 0

\Large\maltese\underline{\textsf{Our problem:}}

What is \bf{\bigg(\dfrac{2}{5}\bigg)^2?

\Large\maltese\underline{\textsf{This problem has been solved!}}

When we have a fraction that is raised to a specific power, we raise both the numerator and the denominator to that power.

\bf{\dfrac{2^2}{5^2}}=\dfrac{4}{25}

\rule{300}{1.7}

\bf{Answer:}

                    \bf{=\dfrac{4}{25}

\boxed{\bf{aesthetic \not101}}

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Marta is solving the equation S = 2πrh + 2πr^2 for h. Which should be the result?
olga_2 [115]

Answer:

h = \frac{S}{2πr} - r


Step-by-step explanation:

The question requires you to make h the subject of the formula.

S = 2πrh + 2πr²

subtract 2πr² on both sides.

S - 2πr² = 2πrh - 2πr² -  2πr²

S - 2πr² = 2πrh

Dividing both sides by  2πr

(S -  2πr²)/2πr =  2πrh/ 2πr

h = \frac{S}{2πr} - r


7 0
3 years ago
Read 2 more answers
One of the legs of a right triangle measures 7 cm and its hypotenuse measures 12 cm.
Oksana_A [137]

Answer:

AC ≈ 9,7sm

Step-by-step explanation:

AB=7  One side of a right triangle

BC=12  Hypotenuse of a right triangle

AC=?=x  The other side of a right triangle

x²+7²=12²  

x²=144-49

x²=95

x=√(95) ≈ 9,7

AC ≈ 9,7sm

3 0
2 years ago
Simplify -3x^2-5x^2(4x^3-x^2)2
PSYCHO15rus [73]

Let's simplify step-by-step.

−3x2−5x2(4x3−x2)(2)

Distribute:

=−3x2+−40x5+10x4

Answer:

=−40x5+10x4−3x2

8 0
3 years ago
What is the perimeter of a rectangle with length x+4 and a width of 5x-7
AlladinOne [14]

Answer:

12x-6

Step-by-step explanation:

perimeter= 2l+2w

=2(x+4)+2(5x-7)

=2x+8+10x-14

=12x-6

8 0
2 years ago
How many kilograms of coffee worth 40/kg must be mixed with coffee worth $11/kg to give 12kg of coffee worth $9.50/kg
Kazeer [188]

Answer:

0.62kg

Step-by-step explanation:

Let

x = 40/kg coffee

y = 11/kg coffee

two equations can be derived from the question

x + y = 12 equation 1

40x + 11y = 114 (9.5 x 12)  equation 2

multiply equation 1 by 11

11x + 11y = 132 equation 3

subtract eqn 3 from eqn 2

29x = 18

divide both sides of the equation by 29

x = 0.62kg

4 0
2 years ago
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