The hopper bin in the picture below is modeled by the two-dimensional figure beside it. The hopper bin is
composed of a cylinder, and 2 EQUAL cones. Let d be the center of the base of the cone.
52° cylinder cones
The diameter of the hopper is 36 ft and the height of the cylindrical portion is 20 ft. The measure of the acute
angle formed by the slant height of the cone and its base is 52°, determine and state, to the nearest cubic foot,
the volume of the hopper bin.
The hopper bin was constructed to hold a maximum of 500,000 pounds of feed. If feed weighs 22 pounds per cubic foot, can the carnival tent be filled to 85% of its volume and not exceed the weight limit? Justify your
answer.

Step-by-step explanation:

We know that sum of angles of a triangle are equal to 180⁰

Therefore

29⁰+68⁰+x⁰=180⁰

97⁰+x⁰=180⁰

x⁰=180-97=83⁰

Hence x=83⁰

Also Side Note: x⁰=y⁰=83⁰(reason=vertically opposite angles)

I hope it helped you

Step-by-step explanation:

1×2×7/4

= 14/4 = 3.5

choice 2

Answer:

yeah so you a g my guy

Step-by-step explanation:

For the given data set 31, 32, 31, 34, 30, 30, 31, 31, 30, 31, median is the  best measure of the center.

The given data set is 31, 32, 31, 34, 30, 30, 31, 31, 30, 31.

In this data set, the best measure of the center would likely be the median.

The data set is relatively small and seems to have a repeated value (30), which could potentially skew the mean.

The median, on the other hand, would provide a more representative measure of the central tendency as it is not affected by outliers or repeated values as much as the mean or mode.

Hence, median is the  best measure of the center for the data set.

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Answer:

109.99 $

Step-by-step explanation:

add or maybe multiply the numbers that have to do with money: 27.99 + 42 + 40

It will cost $107.74 for John to rent a car.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

John is 23 years old and rents a car for 4 days, from Thursday through Sunday.

The cost of the car rental is 27.99 with unlimited miles,

but the cost of the rental is 42% higher on Saturday and Sunday.

The company charges a $40 fee for renters younger than 25.

The total cost,

= 27.99 + 40 + 27.99 x 1.42

= $107.74

Therefore, the cost is $107.74.

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f(x+1):-

f(-x)

LHS≠RHS

Answer:

Bibi

Step-by-step explanation:

1 ounce=.125cup(1/8)

Camille:

6*4=28(28 fluid ounces or3.5cups)

Bibi: 5*1 cups=5 cups.

Answer:

Formula for volume of cone;

V = 1/3π[tex]r^{2}[/tex]h

Plug in what you know:-

V = 1/3π[tex]r^{2}[/tex]

will be

V = 1/3(3.14) · 2.4^2 · 16.5

Simplify and solve,

V = 1/3(3.14) · 5.76 · 16.5

V = 1.05 · 5.76 · 16.5

V = 6.05 · 16.5

V = 99.825, your answer is C; 99.48 cubic inches.

Check the picture below.

Answer:

5

Step-by-step explanation:

If it is 18 roses for 90 dollars, what is one rose worth?

90 dollars/18 roses=5 dollar per rose

Answer:

D

Step-by-step explanation:

by looking at the point you can see what has a slope.

it is also a decreasing slope

Answer:

19683

Step-by-step explanation:

5 stars please

The angle of inscribed polygon m∠MNT from the triangle ABC is 45°

An inscribed polygon is a polygon whose vertices lie on the circle and the circle inscribing the polygon is known to be a circumscribed circle. But let's not forget that the circle is also inscribed in another right-angle triangle.

However, using the inscribed right angle theorem:

Supposed that a right triangle is inscribed in a circle;

From the given image, line MN is the diameter of the circle since that is the only diameter in the circle.

We know that the sum of angles in a triangle is 180°. So, if ∠T = 90°, ∠N and ∠M = x

i.e.

90° + x + x = 180°

90° + 2x = 180°

2x = 180° - 90°

2x = 90°

x = 90°

x = 45°

Therefore, we can conclude that angle m∠MNT = 45°

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The maximum number of 1 cubic centimeter cubes that will fit into a box with a volume of 32 cm³ is: 32 cubes.

The volume of a cube = s³, where s is the edge length of the cube.

Given the following:

Volume of 1 cube = 1 cubic centimeters

Box volume = 32 cubic centimeters

Number of cubes that will fit into the box = 32/1 = 32 cubes.

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the value of x + x(x^x) when x = 2.

x + x(x^x)

by putting the value of x = 2 in the above expression we get:

2 + 2(2^2)

= 2 + 2(2 × 2)

= 2 + 2(4)

= 2 + 8

= 10

therefore, the value of x + x(x^x) when x = 2 is 10.

answer= option a

Answer is option a) = 10

have a great day

hope this helps

Answer:

C (the bottom one)

Step-by-step explanation:

B (the top one) has roots/solutions — as in, it crosses the x-axis.

C doesn't have roots, and therefore doesn't have normal solutions, instead it has "complex" roots which require the use of imaginary numbers:  [tex]i[/tex]

Answer:

214 square inch is the area of the figure

Answer:

c

Step-by-step explanation:

i took the test

Equation

Step-by-step explanation:

so its step by step

Now

Answer:

4 km

Step-by-step explanation:

How far can a person run in 15 minutes if he or she runs at an average speed of 16 km/h?

1 hours = 60 minutes

[tex]\implies \sf 16 km/h = \dfrac{16\:km/h}{60\:min}=\dfrac{4}{15} km/min[/tex]

If the person runs for 15 minutes, then:

[tex]\implies \sf total\:distance\:run=\dfrac{4}{15}\:km/min \times 15\:min=4\:km[/tex]

Answer:

D

Step-by-step explanation:

Quadratic formula: [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

[tex]2x^2- 12x + 13 = 0[/tex]

[tex]x=\frac{-(-12)+-\sqrt{(-12)^2-4(2)(13)} }{2(2)}[/tex]

[tex]x=\frac{12+-\sqrt{144-104} }{4}[/tex]

[tex]x=\frac{12+-\sqrt{40} }{4}[/tex]

[tex]x=\frac{12+-2\sqrt{10}}{4}[/tex]

[tex]x=\frac{6+-\sqrt{10}}{2}[/tex]

I hope this helps!

Check the picture below.

Answer: 24 square units

Step-by-step explanation:

It appears the shaded area of the rectangle is half of the rectangle's area. This means if we find the area of the rectangle and divide it by 2 we will know the area of the shaded portion.

The formula for the area of a rectangle is [tex]lw=A[/tex]

Where

l is the length (8 for this)

w is the width (6 for this)

A is the area

However, since we are finding half the area we will divide lw by 2

Sub the values into the formula

[tex]\frac{lw}{2} =A\\\frac{(8)(6)}{2} =A\\\frac{48}{2} =A\\24=A[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The Correct choice is Yes

The shown graph is of a linear function that is in the form of straight line, having fixed slope (rate).

x = [tex]\frac{35}{4}[/tex]

_____________________

The amount of cubic feet in the box = volume = 2.25 cubic feet.

Volume of a box is the amount of cubic feet in the box which is calculated as: V = (length)(width)(height).

Given the following:

Volume = (36)(18)(6)

Volume = 3,888 cubic inches.

Convert to 3,888 cu. in. to cu. ft. [1 cu. ft. = 1728 cu. in.]

3,888/1728 = 2.25 cubic feet.

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Answer:

Step-by-step explanation:

2.25

I recommend using guathmath

Answer:

a) V/2 ; b) V/4

Step-by-step explanation:

a) V = πR²h

If h --> h/2 the new volume V' = πR²h/2 = V / 2

b) πR²h

If D --> D/2 then R --> R/2 and the new volume V" = π(R/2)²h = π(R)²h/4 = V/4