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3 years ago

What is the reciprocal of x^2/6x?

Mathematics

1 answer:

Rzqust [24]3 years ago

4 0

6x / x²

the reciprocal of a number n is $\frac{1}{n}$

the reciprocal of $\frac{x}{y}$ is $\frac{y}{x}$

The product of a number and it's reciprocal = 1

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Kate bought a T-shirt for $12.95 and a pair of shorts for $10.95. She paid 6.25% in tax. What is her total amount that she paid?

sergeinik [125]

Kate paid $25.39 for her purchases.

Kate will receive $24.61 in change.

Step-by-step explanation:

Given,

Cost of t-shirt = $12.95

Cost of pair of shorts = $10.95

Total = cost of t-shirt + cost of pair of shorts

Total = 12.95 + 10.95 = $23.90

Sales tax = 6.25% of total amount

Amount of sales tax = $\frac{6.25}{100}*23.90=\frac{149.375}{100}$

Amount of sales tax= $1.49

Total amount with sales tax = 23.90 + 1.49 = $25.39

Kate paid $25.39 for her purchases.

Amount paid = $50

Change received = Amount paid - Bill amount

Change received = 50 - 25.39 = $24.61

Kate will receive $24.61 in change.

Keywords: sales tax, addition

Learn more about addition at:

#LearnwithBrainly

3 0

2 years ago

If the given values in a right triangle are cos A =

Vlad1618 [11]

See the picture attached to better understand the problem

we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1

applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2

substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2

the answer is
the hypotenuse is (3√2)/2

5 0

3 years ago

a person leaves their house to go to the store. it takes 15 minutes at 12 mph to get to the store. They return home at 31 mph. W

trasher [3.6K]

$\bf \cfrac{\stackrel{speed~forth}{12}+\stackrel{speed~back}{31}}{\stackrel{interval~forth}{1}+\stackrel{interval~back}{1}}\implies \cfrac{43}{2}\implies 21.5mph\textit{ on average}$

5 0

3 years ago

A circle with radius 9 has a sector with a central angle of 120°.

Vitek1552 [10]

120º is 1/3 of a complete revolution of 360º. So the area of this sector should be 1/3 the area of the complete circle.

A circle with radius 9 has area 9^2 π = 81π.

So the sector has area 81π/3.

Put another way: The area A of a circular sector and its central angle θ (in degrees) occur in the same ratio as the area of the entire circle with radius r according to

A / θ º = (π r ^2) / 360º

==> A = π/360 θ r ^2

In this case, r = 9 and θ = 120º, so

A = π/360 * 120 * 81 = 81π/3

8 0

3 years ago

Could someone help? Thank you

frozen [14]

Answer:

See Below

Step-by-step explanation:

Thankfully, all the parts you need are given.

First, find the surface of one triangle

A = 1/2bh

A = 1/2(15)(9)

A = 1/2(135)

A = 67.5

Multiply by 4 to get the sum of all the sides.

67.5(4) = 270

Now find the surface area of one square

A = bh

A = (15)(15)

A = 225

multiply by 5 to get all 5 sides

225(5) = 1125

Add sums together

1125 + 270 = 1395

3 0

2 years ago