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2 years ago

Find the total surface area of the cone in the figure. ( use rr=3.14.)

Mathematics

1 answer:

nikitadnepr [17]2 years ago

4 0

Answer:

Answer D

Step-by-step explanation:

The formula is $A = pi r(r+\sqrt{h^2+r^2})$ . We have our r (radius) and h (height), so plugging it all in would give us A = (3.14)(5 + sqrt(12^2)+(5^2). After computing this, you would get answer D, 282.6.

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1. Solve each system of linear equations below, then check your work.

Brut [27]

Answer:

$a) \: x = - 3 \: and \: y = 2 \\ b) \: x = 1 \: and \: y = - \frac{5}{4} \\ c) \: \: x = 25 \: and \: y = 0 \\ d ) \: x = 10 \: and \: y = - 12$

Step-by-step explanation:

$question (a) \: \: \: 3x - y = - 11 \\ \: \: \: - x + y = 5 \\ \\ 2x = - 6 \\ \frac{2}{2} x = \frac{ - 6}{2} \\ x = - 3$

$\\ since \: x = - 3 \: then \: y = \\ \\ - x + y = 5 \\ - ( - 3) + y = 5 \\ y = 5 - 3 \\ y = 2$

$\\ (check) \\ recall \: that \: x = - 3 \: and \: y = 2 \\ \\ - x + y = 5 \\ - ( - 3) + 2 = 5 \\ 3 + 2 = 5 \\ 5 = 5$

$question (b) \: \: \: -2y + 3 = 4x + 2 \\ 6x + 4y = 1 \\ \\ ( - 4x - 2y = - 1) \times 2 \\\: \: \: 6x + 4y = 1 \\ \\ - 8x - 4y = - 2 \\ 6x + 4y = 1 \\ \\ - 2x = - 2$

$\frac{ - 2}{ - 2} x = \frac{ - 2}{ - 2} \\ x = 1 \\ \\ since \: x = 1 \: then \: y = \\ \\ 6x + 4y = 1 \\ 6(1) + 4y = 1$

$4y = - 6 + 1 \\ \frac{4}{4} y = - \frac{ 5}{4} \\ y = - \frac{ 5}{4} \\ \\ (check) \\ - 2y + 3 = 4x + 2$

$- 2( - \frac{5}{4} ) + 3 = 4(1) + 2 \\ \frac{5}{2} + 3 = 6\\ 6 = 6$

$question (c) \: \: \: 32y - x = - 25 \\ \: \: \: 5x = 100 + x - 8y \\ \\ 32y - x = - 25 \\ 8y + 5x - x = 100 \\ \\ (32y - x = - 25) \times 4 \\ 8y + 4x = 100$

$128y - 4x = - 100 \\ 8y + 4x = 100 \\ 136y = 0 \\ y = 0 \\ \\ since \: y = 0 \: then \: x = \\ \\ 32y - x = - 25 \\ 32(0) - x = - 25 \\ - x = - 25 - 0 \\ \frac{ - 1}{ - 1} x = \frac{ - 25}{ - 1} \\ x = 25 \\$

$(check) \\ 5x = 100 + x - 8y \\ 5(25) = 100 + (25) - 8(0) \\ 125 = 125 - 0 \\ 125 = 125$

$question (d) \: \: \: 2y + 3x = 6 \\ \: \: \: 4x + 5y + 20 = 0 \\ \\ ( 2y + 3x = 6) \times 4 \\ (5y + 4x = - 20) \times - 3 \\ \\ 8y + 12x = 24 \\ - 15y - 12x = 60$

$- 7y = 84 \\ \frac{ - 7}{ - 7} y = \frac{84}{ - 7} \\ y = - 12 \\ \\ since \: y = - 12 \: then \: x = \\ \\ 2y + 3x = 6 \\ 2( - 12) + 3x = 6 \\ - 24 + 3x = 6 \\ 3x = 6 + 24 \\ x = 10 \\ \\ (check) \\ 4x + 5y + 20 = 0 \\$

$4(10) + 5( - 12) + 20 = 0 \\ 40 - 60 + 20 = 0 \\ - 20 + 20 = 0 \\ 0 = 0$

5 0

2 years ago

What is a polynomial Can anyone answer with the definition of Quadrilateral

pashok25 [27]

Polynomial is an expression of more than two algebraic terms.

<h3>Definition of quadrilateral:</h3>

A quadrilateral is a four-sided polygon with four edges (sides) and four corners in geometry (vertices).
The name comes from the Latin words quadri, which means "four," and latus, which means "side."
In comparison to other polygons, it is also known as a tetragon, derived from the Greek "tetra" meaning "four" and "gon" meaning "corner" or "angle"
In the same way as other polygons (e.g. pentagon). While "gon" means "angle," it's also known as a quadrangle or 4-angle.

more info: https://brainly.in/question/4869171

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4 0

1 year ago

Read 2 more answers

What is the image of (-1,-5) after a dilation by a scale factor of 5 centered at the<br> origin?

Travka [436]

A dilation by a scale factor of 5 centered at the origin simply multplies by 5 the coordinates of every point. So, the new coordinates are (-5, -25)

4 0

2 years ago

Please help, test review. Need done today

ANTONII [103]

D=number of drinks
p=number of bags of popcorn

75=6d+8p
100.50=12d+10p

multiply first equation by -2 and add to first
-49.50=-6p
divide -6
8.25=p
sub

100.50=12d+10p
100.50=12d+82.50
minus 82.50
18=12d
divide 12
1.50=d

$1.50 per drink

YOU BETTER READ AND LEARN AND NOT JUST USE THIS TO PASS, LEARN

7 0

3 years ago

Find the measure of the arc or angle indicated.

Shkiper50 [21]

9514 1404 393

Answer:

arc AC = 63°

Step-by-step explanation:

Arc BC is twice the measure of inscribed angle BAC, so is ...

arc AC = 2×89° = 178°

The remaining arc of the circle is the difference between 360° and the sum of the other two.

arc AC = 360° -119° -178°

arc AC = 63°

4 0

3 years ago