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3 years ago

Find the total surface area of the following cone. Leave your answer in terms of Pi. 4cm 3cm

Mathematics

1 answer:

castortr0y [4]3 years ago

5 0

The triangle formed from the height of the cone and the radius of its base is a special 3,4,5 triangle. The slant height is 5cm.

Recall that the area of a circle = pi*r^2

Substitute 3 in for r

Area = pi * (3)^2 = 9pi

SA = pi*r*l + B

Substitute our values into the equation

SA = pi * 3 * 5 + 9pi

SA = 15pi + 9pi

SA = 24pi cm^2

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Find out for what value of the variable:

Burka [1]

Answer:

$a=-1,\ a=-5$

$x=-2+i,\ -2-i$

Step-by-step explanation:

<u>Equations</u>

We have two cases where some variable is required to be found such that some condition is met. The first case is about finding the value of a that complies:

$a^2+7a+6=a+1$

Rearranging

$a^2+6a+5=0$

Factoring:

$(a+1)(a+5)=0$

There are two solutions:

$a=-1,\ a=-5$

The second case requires us to find the value of x such that

$3x^2-x+1 =2x^2+5x-4$

Rearranging

$x^2+4x+5=0$

This second-degree equation has no real roots. We'll offer the imaginary (complex) solutions:

$x=-2+i,\ -2-i$

5 0

3 years ago

What is this equation x2 – 2x – 6 in vertex form?

Lena [83]

Answer:

In vertex form, the parabola's equation is y=(x−1)^2 +5.

Step-by-step explanation:

7 0

3 years ago

Which parabola has the graph shown?<br><br> I think the answer is C. however, I'm not 100% sure.

NemiM [27]

$x=m(y-k)^2+h\\\\(h,\ k)-the\ vertex$

We have the vertex (-4, -1), therefore we have:

$x=(y-(-1))^2-4\ \ \ |+4\\\\(x+4)=(y+1)^2$

7 0

4 years ago

Mrs Lim packs 35 big and small bags of candies for her pupils. Each big bag contains 12 candies and each small bag contains 7 ca

Anastasy [175]

Answer:

there are 11 big-bags and 24 small-bags.

Step-by-step explanation:

there are x big-bags and y small-bags.

so now we can know:

(1) x + y = 35

(2) 12x + 7y = 300

in (1),we can do like this:

both left and right x7

then (x + y)x7 = 35 x 7

then 7x + 7y = 35 x 7

then 7x + 7y = 245

now,

(1)7x + 7y =245

(2)12x + 7y = 300

we can both left and right do this: (2) - (1)

then

(12x + 7y) - (7x + 7y) = 300 -245

then

12x + 7y - 7x - 7y = 300 -245

then

12x - 7x +7y - 7y =300 -245

then

5x =55

then

5x ÷ 5 = 55 ÷ 5

then

x = 11

because

x + y =35;x=11

11 + y =35

11+ y -11 = 35 -11

then

y = 24

now we know:there are 11 big-bags and 24 small-bags.

3 0

3 years ago

I need to know the answer and how to solve this

AURORKA [14]

Answer:

135

Step-by-step explanation:

subtract 180 by 45 since a line is 180, that is what you get for the angle that is adjacent to angle 2, there is a rule if it is adjacent, they equal each other. thus, angle 2 is 135

5 0

3 years ago