A prop for the theater club's play is constructed as a cone topped with a half-sphere. What is the volume of the cone part of the prop? Round your answer to the nearest tenth of a cubic inch.
(note: use 3.14 to approximate pi)

A. 378 in³

B. 1,134 in³

C. 1,187 in³

D. 3,561 in³​

Answer:

a rod is 16 1/2 feet long, so 13 x 16.5= 214.5 feet

Answer:

B) 63°

Step-by-step explanation:

Step 1: find the angle beside x (inside the pentagon)

*A pentagon has a total of 540°

119 + 100 + 116 + 88 = 423

540 - 423 = 117

Step 2: x is a supplementary angle, which means it's angle adds up to 180°

Since we know the other angle is 117°, we just subtract that from 180

180 - 117 = 63

x = 63

Answer:

∠LKN and ∠JKI

Step-by-step explanation:

Answer is 35 degrees

Answer: 12 students for 1 teacher.

Step-by-step explanation: 36 students divided by 3 teachers is 12 students for each teacher.

Answer:

The answer is 12

Step-by-step explanation:

36 students divided by 3 teachers

36 / 3 = 12

Hope this helps!! ;3

Answer:

C

Step-by-step explanation:

Answer:

$517.50

Step-by-step explanation:

25x20.7

Answer:

12

Step-by-step explanation:

∛1728 = ∛2*2*2*2*2*2*3*3*3*3 = 2*2*3 = 12

Answer:12

Step-by-step explanation: Using Prime Factorization Method

1728=2*2*2*2*2*2*3*3*3

1728=(2*2*2)(2*2*2)(3*3*3)

1728=2^3 *2^3*2

Cube root the number above you would get 2*2*3=12.

Answer:

a. y = 2x b. 32

Step-by-step explanation:

a, y = kx, where k is a non-zero constant

   when x = 7, y = 14

   14 = 7k

   k = 2

   The required equation is y = 2x

b. From(a), y = 2x

   y = 2(16)

   y = 32

Answer:

its undefined so it wont be on the line

Step-by-step explanation:

6-1=5

4-4=0

Answer:

a formula that defines each term of a sequence using preceding terms

Step-by-step explanation:

gogle

Answer:

A recursive formula is a formula that defines each term of a sequence using preceding term(s).

See diagram below.

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

Explanation:

The highest point on f(x) is the vertex point since the leading coefficient is negative. The vertex is located at (h,k)

For the general parabola y = ax^2 + bx + c, we can define h to be

h = -b/(2a)

In this case, we plug in a = -2 and b = 8 to find h to be...

h = -b/(2a)

h = -8/(2*(-2))

h = -8/(-4)

h = 2

Then the value of k is equal to f(h). So we plug x = 2 into the f(x) function to get

f(x) = -2x^2 + 8x - 1

f(2) = -2(2)^2 + 8(2) - 1

f(2) = -2(4) + 8(2) - 1

f(2) = -8 + 16 - 1

f(2) = 8 - 1

f(2) = 7

This means k = 7

So the vertex for f(x) is at (h,k) = (2,7)

The max value of f(x) is f(x) = 7 which is the same as y = 7.

The graph shows the highest point is at (0,10). The highest point of g(x) is when y = 10. So this is the largest g(x) can get. We only are concerned with output values when we want to maximize whatever the function is.

Therefore, g(x) produces the larger maximum value compared to f(x).

We can see that if we were to graph both f(x) and g(x) together. The g(x) curve peaks higher compared to f(x).

The diagram is shown below. I used GeoGebra to make the graph, though you could use Desmos or a TI calculator (or similar) if you want.

Answer:

angleLMK and angleQPR

Answer:

(a+4)(b-2)=t

a+4=0

-4+4=0

and

b-2=0

2-2=0

Step-by-step explanation:

A is opposite of what is in the equation = -4

b is opposite of what is in the equation = 2

Answer:

1

Step-by-step explanation:

Answer: The point is located in the fourth quadrant because

x

x

is positive and

y

y

is negative. The quadrants are labeled in counter-clockwise order, starting in the upper-right.

Quadrant 4

Hope this helps. Can u pls give me brainliest

Step-by-step explanation:

Answer: that the solution is true

Step-by-step explanation: if you get something like 10=10 it’s true but if you get like 4= 7 it’s false

Answer:

by adding. positive, you move towards right.

Answer:

Right

Step-by-step explanation:

when looking at a number line, you will see 0, and you will notice all numbers go from 0 to the right in an increasing manner, so it would be 0, then 1, then 2, then 3....

its the other way for negative numbers tho, so (from a line of negative numbers) -3, then -2, then -1, then 0

a good way to remember is to imagine a race, you want to gain progress and go further away from the start (0) so the RIGHT way to go would be UP the number line and INCREASE your progress

Answer: 5.4

Step-by-step explanation:

Use cosine to find the adjacent side.

cosine = adjacent/hypotenuse

Substitute these values in the cosine equation:

cos(39) = x/7

7*cos(39) = x

Use a calculator to find the value of x:

x = 5.4

Answer:

(a)positive

(b)negative

(c)positive

(d)positive

Answer:

The dimensions of the field to maximise the area are 100 metres (width) and  200 metres (height).

Step-by-step explanation:

The formulas for the area ([tex]A[/tex]), measured in square metres, and the perimeter ([tex]p[/tex]), measured in metres, of the rectangle are, respectively:

[tex]A = x\cdot y[/tex] (1)

[tex]p = 2\cdot x +y[/tex] (2)

Where:

[tex]x[/tex] - Width, measured in metres.

[tex]y[/tex] - Height, measured in metres.

Note: We assume that height of the rectangle is parallel to the wall of the house.

By (2):

[tex]y = p - 2\cdot x[/tex]

In (1):

[tex]A = x\cdot (p-2\cdot x)[/tex]

[tex]A = p\cdot x - 2\cdot x^{2}[/tex] (3)

Then, we obtain its first and second derivatives by Differential Calculus:

[tex]A' = p - 4\cdot x[/tex] (4)

[tex]A'' = -4[/tex] (5)

By equalising (4) to zero, we find the following critical value for [tex]x[/tex]:

[tex]x = \frac{p}{4}[/tex]

And besides the Second Derivative Test, this solution is associated to an absolute maximum. Given that [tex]p = 400\,m[/tex], then the maximum area enclosed by fencing is:

[tex]x = 100\,m[/tex]

[tex]A = 20000\,m^{2}[/tex]

And the height of the triangle is:

[tex]y = 200\,m[/tex]

The dimensions of the field to maximise the area are 100 metres (width) and  200 metres (height).

The proof that wxyz is a parallelogram has been done below

We can prove that WXYZ is a parallelogram by using the properties of congruent angles and congruent sides.

Given: WX ≅ YZ; ∠WXZ ≅ ∠YZX

From the given information, we know that WX is congruent to YZ and that the angle WXZ is congruent to angle YZX.

Since WX is congruent to YZ, we can conclude that WY is congruent to XZ.

From the given information, we know that angle WXZ is congruent to angle YZX.

Since the angles are congruent, we can conclude that the lines WX and YZ are parallel.

By using the properties of congruent sides and congruent angles, we can now conclude that WXYZ is a parallelogram.

In a parallelogram opposite sides are parallel and congruent. The opposite angles are also congruent. In this case, WX and YZ are parallel and congruent and ∠WXZ and ∠YZX are congruent. So, WXYZ is a parallelogram.

Read more on parallelogram here: https://brainly.com/question/970600

#SPJ1

Answer:

26.96 inches of fabrics per person

Step-by-step explanation:

Headband

Number of players = 32

Number of coaches = 2

Total people = 32 + 2 = 34

Total fabrics used for headband = 623.22 inches

Fabrics per person = Total fabrics used for headband / Total people

= 623.22/34

= 18.33 inches per person

Wristband

Number of players = 32

Total fabrics used for wristband = 276.16 inches

Fabrics per person = Total fabrics used for wristband / Number of players

= 276.16 / 32

= 8.63 inches per person

Total fabrics used for headband and wristband for each player = 18.33 inches + 8.63 inches

= 26.96 inches of fabrics per person

Answer:

1,320 Feet per min

Step-by-step explanation:

The Answer is : 1320 feet