find the total surface area of this cone. leave your answer in terms of pi. the slanted height is 15 and radius is 12

Answer:

11.7 ft

Step-by-step explanation:

Remember the notation SOHCAHTOA

We would be using tan because we have been given the adjacent and we are to determine the opposite value

tan 40 = opposite / adjacent

0.8391 = opposite / 8

opposite = 0.8391 x 8

6.7

Tamera is 5 ft above ground = 6.7 + 5 = 11.7 foot

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Please find attached a diagram explaining this question

Answer:

18.1

The thing You NEEDED to do

Given:

The histogram of a survey that represents the amount of electricity used by residents in a local community.

To find:

The approximate number of participants in the survey.

Solution:

Using the given histogram, we get the frequency table:

Electricity usage              Frequency

          50                                 23

         150                                 34

        250                                 25

        350                                 26

        450                                 42

Sum of frequencies is:

[tex]23+34+25+26+42=150[/tex]

It means the total number of participants in the survey is 150.

Therefore, the correct option is (a).

The diameter is the length of all the way across the circle. The radius is half of that.

the first circle

radius=17cm

diameter =17×2=34cm

second circle

radius=25mm

diameter =50mm

hopefully that helped

Answer:

b

Step-by-step explanation:

Given:

Dimensions of the rectangular table are 40 inches by 25 inches.

To find:

The length of the diagonal of the table.

Solution:

Diagonal of a rectangle is:

[tex]d=\sqrt{l^2+w^2}[/tex]

Where, l is the length and w is the width of the rectangle.

Putting [tex]l=40,w=25[/tex] in the above formula, we get

[tex]d=\sqrt{(40)^2+(25)^2}[/tex]

[tex]d=\sqrt{1600+625}[/tex]

[tex]d=\sqrt{2225}[/tex]

[tex]d\approx 47.17[/tex]

Therefore, the length of the diagonal is about 47.17 inches.

Step-by-step explanation:

the correct answer is A

15 x 35

Answer:

A

Step-by-step explanation:

let width be w , then length l = w + 20

perimeter = 2w + 2l

                 = 2w + 2(w + 20) , so

2w + 2w + 40 = 100

4w + 40 = 100 ( subtract 40 from both sides )

4w = 60 ( divide both sides by 4 )

w = 15 and l = 15 + 20 = 35

Dimensions are 15 ft by 35 ft → A

Answer:

Correlation doesn't prove causation because just because two things correlate does not necessarily mean that one causes the other.It's easy to think that just because two things seem related, that one must be the cause of the other. But that can be a foolish and sometimes dangerous assumption

Answer:

3m × 4m:

Yellow flower: 12

Bush: 6

Total: 18

3m × 5m:

Yellow flower: 15

Bush: 8

Total: 23

Step-by-step explanation:

Answer:

D. 15π

Step-by-step explanation:

Circumference is equal to diameter times pi,

so C = 15π

Answer:

[tex]slope = \frac{(9 - ( - 11))}{(25 - 5)} \\ = \frac{20}{20} \\ = 1[/tex]

Answer:

m = 7

Step-by-step explanation:

- 3(12 - m) = - 1(m - 8)

- 36 - (- 3m) = - m - 8

- 36 + 3m = - m - 8

- 36 + 3m + m = - m + m - 8

- 36 + 4m = - 8

- 36 + 36 + 4m = - 8 + 36

4m = 28

4m ÷ 4 = 28 ÷ 4

m = 7

2 Answers:

Parallel lines always have equal slope, but different y intercepts.

==========================================================

Explanation:

Let's solve the second equation for y

3y - x = -7

3y = -7+x

3y = x-7

y = (x-7)/3

y = x/3 - 7/3

y = (1/3)x - 7/3

The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.

However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.

Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.

Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.

I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.

Answer:

Option (1)

Step-by-step explanation:

Given expression is,

[tex]\text{log_w(\frac{w^2}{w^6})}[/tex][tex]\text{log}_w(\frac{w^2}{w^6} )[/tex]

Let the given expression is equal to y.

[tex]\text{log}_w(\frac{w^2}{w^6} )=y[/tex]

By applying logarithmic rule,

[tex](\frac{w^2}{w^6} )=w^y[/tex]

[tex]w^2\times w^{-6}=w^y[/tex]

[tex]w^{2-6}=w^y[/tex]

[tex]w^{-4}=w^y[/tex]

[tex]y=-4[/tex]

Therefore, value of the given expression [tex]\text{log}_w(\frac{w^2}{w^6} )=-4[/tex].

Option (1) will be the correct option.

Answer:

3,432 m²

Step-by-step explanation:

The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)

Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)

✔️Surface area of ½-cylinder = ½[2πr(h + r)]

r = ½(0.4) = 0.2 m

h = 0.6 m

π = 3.14

Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]

= 0.628(0.8)

Surface area of ½-cylinder = 0.5024 m²

✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)

L = 0.6 m

W = 0.4 m

H = 0.55 m

Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)

Surface area of rectangular box = 1.58 m²

✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²

✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)

= 0.5024 + 1.34

= 1.8424

Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912

= 3,432 m²

Answer:

the second one

Step-by-step explanation:

hai-

Answer:

5 hours

Step-by-step explanation:

The pool will be completely drained when y = 0

0 = -4,000x + 20,000

subtract 20,000 from both sides

-20,000 = -4,000x

divide both sides by -4,000

x = 5

Have a good day!

Answer:

5 hours.

Step-by-step explanation:

When it is drained y will be = to zero, so

-4000x + 20000 = 0

-4000x = -20000

x = -20000/ -4000

= 5.

Answer:

15 times i think

Step-by-step explanation:

Answer:

88.3

I just think so

I dont have a 20 letter explantion

Answer:

no not even if its supposed to be a negative

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

a square is a rectangle but a rectangle is not a square

meaing that a square is a rectangle but not all rectangles are squares

Answer:

[tex]134.041\ \text{in}^3[/tex]

Step-by-step explanation:

r = Radius of sphere = Radius of basketball = 4 inches

h = Height of cylinder = 8 inches

Volume of unoccupied space will be the difference in volume between the cylinder and the basketball

[tex]\Delta V=\pi r^2h-\dfrac{4}{3}\pi r^3\\\Rightarrow \Delta V=\pi r^2(h-\dfrac{4}{3}r)\\\Rightarrow \Delta V=\pi\times 4^2(8-\dfrac{4}{3}\times 4)\\\Rightarrow \Delta V=134.041\ \text{in}^3[/tex]

Unoccupied volume in the container is [tex]134.041\ \text{in}^3[/tex].

Answer:

a. option is the correct answer

Each student reserved 2.2 pounds each

Step-by-step explanation:

I divided 22 by 10 and got 2.2 as for each student I am not sure if your teacher wants it simplified to the nearest whole number but if that's the case each student got 2 pounds of candy

Answer:

11 cups

Step-by-step explanation:

Answer:

11 cups

Step-by-step explanation:

3 + 3 + 2 + 1 + 2 = x

6 + 3 + 2 = x

6 + 5 = 11

11 cups

or you can just solve directly.

--Applepi101

Answer:

20%

Step-by-step explanation:

5 numbers in total, only 1 option = 1/5

-Gage Millar, Algebra 2 tutor