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3 years ago

SIMPLIFY this expression.

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

8 0

Answer:

none of the answer above

Step-by-step explanation:

it should be

16x +8 or 8(2x+y)

group the number together according to alphabet and number

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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:

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

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

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

$Volume = \pi *4 * 175$

$Volume = 700\pi$

6 0

3 years ago

5. Consider the diagram below. Solve for x.

mrs_skeptik [129]

Answer:

41 degrees

Step-by-step explanation:

The three angles need to add up to 180 degrees!

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3 years ago

1200$ invested at a rate of 3.5% compounded quarterly; 4 years

Tju [1.3M]

Step-by-step explanation:

1st year:

(1200 x 3.5 x 1) ÷ 100 = $42

2nd year:

(1242 x 3.5 x 1) ÷ 100= $43.47

3rd year:

(1285.47 x 3.5 x 1) ÷ 100= $44.99≈ $45

4th year:

(1330.47 x 3.5 x 1) ÷ 100= $46.56

Compound interest:

$(42 + 43.47 + 45 + 46.56)

=$ 177.03

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3 years ago

If cats prowl, mice will scatter. Mice are scattering

Nadusha1986 [10]

The cat prowled and the mice scattered

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3 years ago

11/12 as a percentage

evablogger [386]

Answer:

91.67%

Step-by-step explanation:

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2 years ago

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