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2 years ago

Find the solution to the system of equations.

Mathematics

1 answer:

N76 [4]2 years ago

5 0

Answer:

x = -2, y = 5.

Step-by-step explanation:

y=−4x−3

y=−2x+1

Because y is common to both left sides:

-4x - 3 = -2x + 1

-4x + 2x = 1 + 3

-2x = 4

x = 4/-2

x = -2.

So y = -4(-2) - 3

= 8 - 3

= 5 .

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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

2 years ago

WILL MARK BRAINLIEST

atroni [7]

Answer:

7.405882353 years

Step-by-step explanation:

Simple interest is

A = P(1+rt)

Where A is the amount in the account

P is the principle invested

r is the rate and

t is the time

6593.75 = 5000( 1+ .0425*t)

Divide each side by 5000

6593.75/5000 = ( 1+ .0425*t)

1.31475 = ( 1+ .0425*t)

Subtract 1 from each side

.31475 = .0425t

Divide each side by.0425

.31475/.0425 = .0425t/.0425

7.405882353 = t

7.405882353 years

8 0

3 years ago

Read 2 more answers

The sum of a number is<br> 4 less then 2 times a<br> number is 35 what is the number?

Artist 52 [7]

<h2>Answer:</h2>

<h2>Step-by-step explanation:</h2>

35 divided by 2 = 17.5
17.5 + 4 = 21.5
<u>Just do the inverse</u>

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2 years ago

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fiasKO [112]

The answer is B.g(x) hope it helped!!

6 0

3 years ago

12. Find the product: (88a + 80)(8a + 8) ( 1 ) 13. Find the product: (40y + zy)(4y + zy) ( 1 )

laiz [17]

Answer:

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Step-by-step explanation:

i hope this will help you

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2 years ago