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3 years ago

12

A store advertises that it is oﬀering a 14% discount on all articles purchased at the store. if yao pays $670.80 for an article,

what was the marked price for the article?

1 answer:

gizmo_the_mogwai [7]3 years ago

8 0

The answer is <span>$576.888</span>

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A lampshade has a height of 12cm and upper and lower diameters of 10cm and 20cm A)what area of material is required to cover tha

netineya [11]

Answer:

$(a)\ Area = 195\pi$

$(b)\ Volume = 700\pi$

Step-by-step explanation:

Given

$h = 12$

$d_1 = 10$ --- lower diameter

$d_2 = 20$ --- upper diameter

Solving (a): The curved surface area

This is calculated as:

$Area = \pi l(r_1 + r_2)$

Where

$r_1 = 0.5 * d_1 = 0.5 * 10 = 5$ --- lower radius

$r_2 = 0.5 * d_2 = 0.5 * 20 = 10$ --- upper radius

And

$l = \sqrt{h^2 + (r_1 - r_2)^2$ ---- l represents the slant height of the frustrum

$l = \sqrt{12^2 + (5 - 10)^2$

$l = \sqrt{12^2 + (-5)^2$

$l = \sqrt{144 + 25$

$l = \sqrt{169$

$l = 13$

So, we have:

$Area = \pi l(r_1 + r_2)$

$Area = \pi * 13(5 + 10)$

$Area = \pi * 13(15)$

$Area = 195\pi$

Solving (b): The volume

This is calculated as:

$Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))$

This gives:

$Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))$

$Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))$

$Volume = \frac{1}{3}\pi * 12 * (175)$

$Volume = \pi *4 * 175$

$Volume = 700\pi$

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3 years ago

mr. pollack's biology class observed the growth of pea plants. if 5 pea plants grew to 30 cm and 15 pea plants grew to 50 cm, wh

rodikova [14]

U do 5 times 30 and get 150 then take 15 times 50 and get 750 last take 750 plus 150 and u get 900 cm

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3 years ago

What is 6 divided into 3,540

satela [25.4K]

Answer:

590

Step-by-step explanation:

..................

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2 years ago

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Write a set of three numbers that have a GCF of 13.

vitfil [10]

Right now, I can only think 26 and 39.

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3 years ago

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Three cards are drawn from an ordinary deck without replacement. Find the probability that all three are Hearts.

shepuryov [24]

Answer:

11/850 or about 1.29%.

Step-by-step explanation:

Prob ( first drawn = heart) = 13/52 = 1/4.

Prob ( second drawn = heart) = 12/51 = 4/17.

Prob ( third drawn = heart) = 11/50.

Required probability = 1/4 * 4/17 * 11/50

= 11/850.

8 0

2 years ago