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2 years ago

original price of a calendar: $14.50 discount: 30% find the new price for the item after the discount

2 answers:

5 0

Here, Original price = $14.50
Discount = 30%

Now, Amount of discount = 14.50*0.30 = $4.35

So, price after discount would be: $14.50 - $4.35 = $10.15

Your answer is $10.15

Hope this helps!

sergeinik [125]2 years ago

4 0

First find 30% of $14.50

= 30/100 x 14.50
=$4.35

Than take away $4.35 away from $14.50
=14.50 - 4.35
=$10.15

Therefore the new price is $10.15

:)

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A shipment of sugar fills 4 3/8 containers. If each container holds 2 1/7

Alex

Answer:

9 3/8 tons

Step-by-step explanation:

The product is ...

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Step-by-step explanation:

Remember SOH-CAH-TOA:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

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3 years ago

Jacob transformed quadrilateral FGHJ to F'G'H'J'.

Rudik [331]

Answer:

A. Reflection across the line x = 1

Step-by-step explanation:

Please find the attachment.

We have been given that Jacob transformed quadrilateral FGHJ to F'G'H'J'. We are asked to find which transformation Jacob used to reflect FGHJ to F'G'H'J'.

Since we know that while reflecting a figure, the line of reflection will lie between the original figure and reflected figure. Each point of the reflected figure will have the same distance from the line of reflection as the corresponding point of the original figure.

Now let us see our given choices one by one.

A. Reflection across the line x = 1.

Upon looking at point G and G' we can see that both points are equidistant (2 units) from the line x=1. Other corresponding points of both quadrilaterals are also equidistant from line x=1, therefore, Jacob used the reflection across the line x=1 to transform quadrilateral FGHJ to F'G'H'J'.

B. Reflection across the line y = 1 .

If Jacob had reflected quadrilateral across line y=1, the points of quadrilateral F'G'H'J' will lie in second and third quadrant. We can see from our graph that F'G'H'J' lies in 1st quadrant, therefore, option B is not a correct choice.

C. Reflection across the line y-axis.

If Jacob had reflected quadrilateral across y-axis, the coordinates of points of quadrilateral F'G'H'J' will be G'(1,4), H'(1,2), J'(4,0) and F'(2,5). Therefore, option B is not a correct choice.

D. Reflection across the x -axis.

If Jacob had reflected quadrilateral across x-axis, the points of quadrilateral F'G'H'J' will lie in third quadrant. We can see from our graph that F'G'H'J' lies in 1st quadrant, therefore, option D is not a correct choice.

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2 years ago

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Since there are $360^{\circ}$ in a circle, and central $\angle AOB = 90^{\circ}$ , you can see that the part "sliced out" by the central angle is $\frac{90^{\circ}}{360^{\circ}} = \frac{1}{4}$ of the whole circle.

This means that the length of the intercepted arc $\stackrel{\frown}{AB}$ is $\frac{1}{4}$ of the circumference of the circle. So,

$\stackrel{\frown}{AB} = \frac{1}{4}(2 \pi r) = \frac{1}{4}(2 \pi (7.5 cm)) = \bf \frac{15 \pi}{4} cm$

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