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Elza [17]
3 years ago
7

At the book store books selling for 15$ are marked 10% off what is the discount? what is the sale price of each book

Mathematics
1 answer:
torisob [31]3 years ago
3 0
The saleprice is $13.5, so the discount is $1.5.
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What is the value of tan(60°)? One-half StartRoot 3 EndRoot StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartFraction 1
Ratling [72]

Answer:

\sqrt3

Step-by-step explanation:

To find:

The value of tan60^\circ = ?

Solution:

Kindly consider the equilateral \triangle ABC as attached in the answer area.

Let the side of triangle = a units

Let us draw the perpendicular from vertex A to side BC.

It will divide the side BC in two equal parts.

i.e. BD = DC = \frac{a}{2}

Using Pythagorean Theorem in \triangle ABD:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}

Side AD = \frac{\sqrt3}{2}a

Using Trigonometric ratio:

tan\theta = \dfrac{Perpendicular}{Base}

tanB = \dfrac{AD}{BD}

Putting the values of AD and BD:

tan60^\circ=\dfrac{\frac{\sqrt3}{2}a}{\frac{1}{2}a}\\\Rightarrow tan60^\circ = \bold{\sqrt3}

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3 years ago
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A set of numbers is shown below: {0, 0.4, 1, 2, 3} Which of the following shows all the numbers from the set that make the inequ
klemol [59]

Answer:

{1,2,3}

Step-by-step explanation:

The others will not show all the numbers from the set to make the inequality true

8 0
3 years ago
Lin's bike travels 100​ meters when her wheels rotate 55​ times. What is the circumference of her wheels? Round your answer to t
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Answer:

Using formula to calculate the circumference of wheel:

 

where

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n is the number of times rotation

C is the circumference of the wheel

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here, n = 55 rotation and D = 100 meter.

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meter

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

complementary angles are angles that add up to equal 90

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subtract 42 from both sides: 12x = 48

divide both sides by 12: x = 4

plug in the value of x to the equation for ZB: 5(4) + 19

simplify: ZB= 39°

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Under what circumstances may a health insurer charge a higher premium to a woman with a genetic disposition to breast cancer? a)
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