The following square-based pyramid has a base area of 30 square units and a volume of 96 cubic units. The
cone has the same base area and height.
A
What is the volume of the cone?

Answer:

option D is the right answer

Step-by-step explanation:

hope it helps you

Answer:

FL = 54°

Step-by-step explanation:

m<MNF = ½(ML + LF) (inscribed angle theorem)

7 + 8x = ½(72 + 7x + 5)

Solve for x

2(7 + 8x) = 72 + 7x + 5

14 + 16x = 72 + 7x + 5

Add like terms

14 + 16x = 77 + 7x

16x - 7x = 77 - 14

9x = 63

x = 63/9

x = 7

✅FL = 7x + 5

Plug in the value of x

FL = 7(7) + 5 = 49 + 5

FL = 54°

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

150 x .2 = 30

Answer:

234 square inches

Step-by-step explanation:

Ok take this shape step by step. First solve the rectangle.

The area of the rectangle would be: 24 * 8 = 192

Rectangle Area: 192

Then, solve the area for the triangle in the middle.

The area of that triangle would be: 8 * 3 divided by 2. You get 8 by the base of the triangle, 4 + 4. 3 is of course, the height. Lastly, you divide this by 2 because that is the formula for the area of a triangle. When you solve, you get 12.

Middle Triangle Area: 12

Then solve for the last triangle.

Doing the same thing, the area for that triangle is 12 * 5 divided by 2. So solve, 12*5 = 60, 60/2 = 30

Last Triangle area: 30

Finnally, add all the areas up,

192 + 12 + 30 = 234

9514 1404 393

Answer:

Step-by-step explanation:

The equation can be put into standard form by "completing the square" for each variable. The x-term is already a square, so we need do this only for the y-term.

  x^2 +(y^2 -6y) = -1

  x^2 +(y^2 -6y +9) = -1 +9 . . . . . . add (-6/2)^2 to complete the square

  x^2 +(y -3)^2 = 8 . . . . standard form equation

__

Comparing the above equation to the form:

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . . circle centered at (h, k), radius r

we see that (h, k) = (0, 3) and r^2 = 8 ⇒ r = 2√2.

The center point is (0, 3); the radius is 2√2.

Answer:

(3,2)

Step-by-step explanation:

...................

Answer:

The answer is c

Step-by-step explanation:

Answer:

The standard deviation of this sample is 25.35

Step-by-step explanation:

Standard deviation for a sample:

Square root of the sum of the squared differences between each value and the mean, and divided by one less than sample size.

Finding the mean:

The mean is the sum of all values divided by the number of values.

In this question, there are 10 values. So

[tex]M = \frac{73+19+16+64+28+31+90+60+56+28}{10} = 46.5[/tex]

Standard deviation:

[tex]s = \sqrt{\frac{(73-46.5)^2+(19-46.5)^2+(16-46.5)^2+(64-46.5)^2+(28-46.5)^2+(31-46.5)^2+(90-46.5)^2+(60-46.5)^2+(56-46.5)^2+(28-46.5)^2}{9}} = 25.35[/tex]

The standard deviation of this sample is 25.35

Answer:

20+?P

Step-by-step explanation:

You would have 20 there bc you have 20 dollars originally charged then depending on the number of people going its 5 dollars a person so it would be 20 + "number of people here" P

Hope this helps,

Can i get a brainlist or like :)

Thanks

Answer: 90

Step-by-step explanation:

Answer:

[tex]f(-4) = 64[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (1,2)[/tex]

[tex](x_2,y_2) = (2,1)[/tex]

Required

Find f(-4)

We have that:

[tex]y = ab^x[/tex]

For [tex](x_1,y_1) = (1,2)[/tex]

[tex]2 = ab^1[/tex]

[tex]2 = ab[/tex]

For [tex](x_2,y_2) = (2,1)[/tex]

[tex]1 = ab^2[/tex]

Rewrite as:

[tex]1 = ab * b[/tex]

Make b the subject

[tex]b = \frac{1}{ab}[/tex]

Substitute: [tex]2 = ab[/tex]

[tex]b = \frac{1}{2}[/tex]

Substitute [tex]b = \frac{1}{2}[/tex] in [tex]2 = ab[/tex]

[tex]2 = a * \frac{1}{2}[/tex]

[tex]a = 2 * 2[/tex]

[tex]a = 4[/tex]

To calculate f(-4), we have:

[tex]f(x) = ab^x[/tex]

[tex]f(-4) = 4 * \frac{1}{2}^{(-4)}[/tex]

[tex]f(-4) = 4 * 16[/tex]

[tex]f(-4) = 64[/tex]

Answer:

16/33

Step-by-step explanation:

half of 5 is 2.5

half of 11 is 5.5

half of 15 is 7.5

half of 33 is 16.5

so 16/33 is the only fraction less than half of the denominator

hope this helps chu <3

Answer:

16/33

Step-by-step explanation:

because 16 +16 is 32 not 33 and it is a 1 over what it's supposed to be so it's less than 1/2 because 1/2 it technically something divided by 2 because it's half of something.

The solution is the point where the lines cross. So (-1, -2)

Answer:  3.4 miles per day

Step-by-step explanation:

Add all together then divide by total number of people...

(0x2)+(1x1)+(3x4)+(4x2)+(5x3)+(6x2)=

0+1+12+8+15+12=48

48 total miles walked 14 people walked

48/14=3.42 average

rounded to nearest tenth...

3.4 miles per day

Answer:the width is 3 feet

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

it's simple just go 2 4 6 and 8 and count how many numbers there are there will be an extra hour tho

Answer:

$125,000

Step-by-step explanation:

In 30 years, Abigail earned the following amount more than Justine:

$4,800,000 - $1,050,000 = $3,750,000

Per year, the difference is

$3,750,000/30 = $125,000

Answer: $125,000

[tex]y^{2}=6*(6+2)\\\\y^{2}=48\\\\4\sqrt{3}[/tex]

Answer:

25

Step-by-step explanation:

count the frequencies so to get your answer. It is 25.

if it helps don't forget to like and mark me down

Answer

B

Step-by-step explanation:

5*5*6=150

Answer:

150

Step-by-step explanation:

Answer:

in 8 weeks they will each have 30 books

Step-by-step explanation:

Lacey:  y = 2x + 14

Rita:      y = x + 22

y = # weeks

x = # books

set equations equal to each other:

2x + 14 = x + 22

x + 14 = 22

x = 8

solve for 'y':

y = 8 + 22

y = 30

Answer:

Sardar has a 29% chance of inheriting at least some money.

Step-by-step explanation:

Since Sardar has two old rich aunts, Betty and Gwenda, assuming they will both die before he does, for each aunt, Sardar thinks the chance that she will leave him some money if she dies first is 1/3, but Sardar thinks that if Gwenda dies first, the chance that Betty will leave him money is only 1/4, and if Betty dies first, the chance Gwenda will leave him money is also 1/4, to determine what is the probability that he will inherit at least some money by the time they both die the following calculation must be performed:

(1/3 + 1/4) / 2 = X

(0.333 + 0.25) / 2 = X

0.58333 / 2 = X

0.29 = X

Therefore, Sardar has a 29% chance of inheriting at least some money.

Based on the various probabilities that Sardar's aunts will leave him money when they die, the probability that he will at least inherit some money is 0.4375.

This can be found by the formula:

= Probability that Gwenda leaves money + Probability that Betty leaves money - Probability that both leave money

Solving gives:

=  1/4 + 1/4 - (1 / 4 x 1 / 4 )

= 1/2 - 1/16

= 0.4375

Find out more on probabilities at https://brainly.com/question/24756209.

Answer:

Slope is rise/run

Slope is -4/5

= 4/-5

Answer: 23.94 cm

Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.

I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.

Answer:

36 plus 36 plus 72 = 144 or 72 + 72= 144

Answer:

18lbs of Mexican Shade Grown coffee

Step-by-step explanation:

Since this is a ratio problem and we are given three values and one variable x (pounds of Mexican Shade Grown coffee needed) we can use the Rule of Three to solve this problem. In this rule we simply multiply the diagonal available values and divide by the third value to get the value of the variable, like so...

90lbs Gazebo  <=====>   27lbs Mexican Blend

60lbs Gazebo  <=====>   x lbs Mexican Blend

(60 * 27) / 90 = x

1620 / 90 = x

18 lbs = x

We need 18lbs of Mexican Shade Grown coffee blend to mix with the 60lbs of Gazebo blend

Answer:

26 pi

Step-by-step explanation:

Answer:

531

Step-by-step explanation:

first the formula for finding the circumference of a circle is πr2

where π = 22/7

r = 13x13

hence, circumference = πr2

= 22/7 x 13 x 13

= 22/7 × 169

= 22 x 169/7

= 3718/7

= 531 cm