The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?

Answer:

14.5

Step-by-step explanation:

Plug in the coordinates into the distance formula which is:

√[(x₂ - x₁)² + (y₂ - y₁)²]

√[(4 - 0)² + (14 - 0)²]

√[(4)² + (14)²]

√[(16) + (196)]

√212

14.5

Answer:

the angle closest to the 40degree angle is a right angle, so it is 90 degrees. The one with two lines is 50 degrees, and the farthest angle is 40 degrees

Step-by-step explanation:

A square symbol over an angle means it is a right angle, so it will always equal 90 degrees.

The already labeled angle (40 degrees) is equal to the farthest angle.

Once you have two angles, you can find the third angle by simply subracting the two from 180 like this:

180 - 90 - 40 = 50 degrees.

Answer:

w = 2√155 ft ✅

Step-by-step explanation:

Given that:

depth (d) = 10½ ft

Volume (v) = 6,510 ft³

Find the width (w) of the hole!

If the base is a square, then

the width and the length of the base is 'equal', so the

Volume of a cuboid =

V = w²d

width = square root of the division of volume by depth

w = √(V/d)

w = √(6,510/10½)

w = √620

w = √(4×155)

w = 2√155 ft ✅

_________________

#StayPositive - kexcvi

from Indonesia

Answer:

13%

Step-by-step explanation:

the area of the flag is 4x6=24 the circle has an area of 3.14.  3.14/24 is 13%

The  percent of the flag is gold should be considered as the 13%.

Since

In a 4-by-6-foot Colorado state flag, the gold-colored disk has a 1-foot radius.

So here the area of the flag should be

= (4) (6)

= 24

Now the percentage be like

= 3.14/24

= 13%

hence, The  percent of the flag is gold should be considered as the 13%.

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Answer: Part A : 4x-6 < 66

Part B : 15

Step-by-step explanation: I don't understand how to explain part A, but for part B, you subtract 66 by 6 to get 60. Then, divide 60 by 4 to get 15, the largest number you can have.

The measure of lengths of the legs are 7 and 24. Therefore, option C is the correct answer.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, the hypotenuse of a right triangle measures 25.

A) 3²+4²= Square of the hypotenuse

25=Square of the hypotenuse

Hypotenuse=5 units

B) 5²+5²= Square of the hypotenuse

50=Square of the hypotenuse

Hypotenuse=5√2 units

C) 7²+24²= Square of the hypotenuse

625=Square of the hypotenuse

Hypotenuse=25 units

D) 10²+15²= Square of the hypotenuse

325=Square of the hypotenuse

Hypotenuse=√325 units

Therefore, option C is the correct answer.

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Answer:

52.94117647 %

Step-by-step explanation:

there is 17

6 + 3 = 9

9/17 = .5294117647

Answer:

50 miles for every 1 hour traveled

Step-by-step explanation:

Answer:

[tex]Total = 32.4in^2[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

The surface area of the pyramid

To do this, we calculate the surface area of each of the pyramid faces.

For the equilateral triangle.

[tex]Base = 4.5in[/tex]

[tex]Height = 3.9in[/tex]

The area is:

[tex]A_1 = 0.5 * Base * Height[/tex]

[tex]A_1 = 0.5 * 4.5in * 3.9in[/tex]

[tex]A_1 = 8.775in^2[/tex]

There are 3 isosceles triangles of equal dimension.

[tex]Base = 4.5in[/tex]

[tex]Height = 3.5in[/tex]

The area of one of them is:

[tex]A_2 = 0.5 * 4.5in * 3.5in[/tex]

[tex]A_2 = 7.875in^2[/tex]

For the 3, the surface area is:

[tex]3A_2 = 7.875in^2 * 3[/tex]

[tex]3A_2 = 23.625in^2\\[/tex]

The total surface area is:

[tex]Total = 8.775in^2 + 23.625in^2[/tex]

[tex]Total = 32.4in^2[/tex]

Answer:

5.9 pounds

Step-by-step explanation:

3.8 + 2.1 = 5.9

Answer:

y=75+2x

Step-by-step explanation:

Given data

Loading fee=$75

Charge per mile= $2

Let the distance be x

and the total charge be y

Hence the expression for the total charge is

y=75+2x

Answer:

6:1

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

The expected number of blue marbles in the representative sample is 10. This is because the ratio of white marbles to blue marbles in the population is 5:6, so for every 5 white marbles there are 6 blue marbles. Since the representative sample contains 2 white marbles, the expected number of blue marbles should be 6 times the number of white marbles, or 6 x 2 = 10.

Answer:

[tex]50 = 36 + p[/tex]

Step-by-step explanation:

Given

[tex]Total = 50[/tex]

[tex]Points = 36[/tex]

See attachment

Required

Determine the additional points (p) needed

The total point equals the sum of the already earned point and the points needed.

i.e.

[tex]Total = Points + p[/tex]

Substitute values for Total and Points

[tex]50 = 36 + p[/tex]

The number of cubes will be 546.

The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim. The quantity of space occupied by a three-dimensional object can also be used to describe volume.

The volume of the cuboid is,

Volume = (2¹/₆ x 1¹/₆ x 1 )

Volume = ( 13 / 6 ) x ( 7 / 6)

Volume = 91 / 36

The volume of a small cube is:-

Volume = (1/6) x (1/6)

Volume = 1/216

The number of cubes is,

Number = (91/36) ÷ (1/216)

Number = (91 x 216) / 36

Number = 546

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Answer:

when the dot's go left to right going upwards

Step-by-step explanation:

Answer:

I think the answer is 8

Step-by-step explanation:

first you do 6 times 6

then you do 36-20

next do 32 divided by 4 and then you subtract that all

Answer:

$1236.67

Step-by-step explanation:

I = Prt

P = 26500

r = 0.07

t = 8/12 = 2/3

I = (26500)(0.07)(2/3)

I = 1236.67

Answer:

i. 818.18

ii. 940.9

Step-by-step explanation:

SP = 900

or, CP + 10% of CP = 900

or, CP + 10/100 × CP = 900

or, 110CP = 90000

or, CP = 90000/110

CP = 818.18

for profit= 15%

SP = 9000/11 + 15% of 9000/11

= 940.9

Answer:

a 14.3

Step-by-step explanation:

23 divided by 4 is 14.3

Answer:

46.4 degree. by using sine law.

The expression which shows the perimeter in terms of w is option d which is 6w+5.

Expression is a combination of numbers, fraction, symbols, indeterminants, determinants,etc. It shows a relationship between two or more variables. It is mostly not found in equal to form.

We have been given that width be w, so the length will be 2w+5/2.

We know that perimeter of rectangle is 2(l+b)

Perimeter=2(2w+5/2+w)

=2(3w+5/2)

=2(6w+5)/2

=6w+5

Hence the the expression which shows the perimeter of rectangle having width w and length is 5/2 units greater than double the width in terms of w is option d which is 6w+5.

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Question is incomplete as it should includes the length eing 5/2 units greater than double the width.

Answer:

4x

Step-by-step explanation:

Answer:

1/10 or 10%

...........

Step-by-step explanation:

3p²=-3

or, 3p²+3=0

a= 3, b=0 and c= 3

x= (-b + √(b²-4ac))/2a

b²-4ac is a negative number.

So, can't be solved.

The equation for the number of bags 'B' that can be filled from a supply of M&M's 'T' will be T / 39.

The formula to determine how many bags 'B' can be filled with M&M's from a stockpile of 'T', where each bag contains 39 candies, is:

B = T/39

This computation takes the sum of all M&M's in 'T' and divides it by the quantity of candies present in each sack (39), producing the amount of bags 'B' that can be filled.

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Answer:

B

Step-by-step explanation: