The hot tub is shaped like a rectangular prism. It is 7 feet long, 3 1/4 feet deep, and has a volume of 159 1/4 cubic feet. What is the width of the hot tub?

Answer:

mold B

Step-by-step explanation:

The molds are of cylindrical shape. The volume of a cylinder is given by:

Volume = πr²h

where r is the radius and h is the height.

For mold A: diameter = 2 inches, hence radius = 1 inch. Height = 7 inches

volume = π(1²)7 = 7π in³

For mold B: diameter = 2 inches, hence radius = 1 inch. Height = 4 inches

volume = π(1²)4 = 4π in³

For mold C: diameter = 3 inches, hence radius = 1.5 inch. Height = 3 inches

volume = π(1.5²)3 = 6.75π in³

For mold C: diameter = 4 inches, hence radius = 1.5 inch. Height = 3 inches

volume = π(2²)3 = 12π in³

Therefore mold B has the smallest volume

Answer:

B

Step-by-step explanation:

Answer:

188

Step-by-step explanation:

f(x)=4x² - 10+2

f(-7) = 4x² - 10 + 2

= 4(-7)² - 10 + 2

= 4 (49) - 10 + 2

= 196 - 10 + 2

= 188

Answer: The answer is C 11/3

Isolate the variable by dividing each sides by a factors that don't contain the variable.

Answer:

D. 108.4 mm

Step-by-step explanation:

Since the larger triangle is 4 times of the small triangle...

27.1 x 4 = 108.4 mm

Answer:

37.3032cm^2

Step-by-step explanation:

Given data

Diameter= 0.6cm

Radius= 0.3cm

Lenght = 19.5cm

Surface area (A) =2πrh+2πr^2

Substitute

A=2*3.14*0.3*19.5+2*3.14*0.3^2

A=36.738+0.5652

A=37.3032

Hence the surface area is

37.3032cm^2

Answer:

45.5

Step-by-step explanation:

First you would find 1/3 third of 10.50 and it is 3.5, you would then do 10.50 x 4 since it said 10.50 per half a yard, so you would do times 4 and you would get 42, you would then add 42 + 3.5 which equals 45.5.

Answer:

x=1650

Step-by-step explanation:

1650/3=550-300=250

Answer:

x = 1650

Step-by-step explanation:

We are given the equation x/3 - 300 = 250 and are asked to solve for x.

To solve this, we need isolate x, do as followed :

x/3 - 300 = 250

Add 300 to both sides :

x/3 = 550

Multiply 3 to both sides :

x = 1650

The solution of the equation x³ = 16 will be;

⇒ x = 2.519

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ x³ = 16

Now,

Since, The equation is,

⇒ x³ = 16

Solve for x as;

⇒ x = ∛ 16

⇒ x = 2.519

Thus, The solution of the equation is,

⇒ x = 2.519

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Answer: 25/81 also there is a scale factor calculator online tht you can use ill give you the link if you want it

Step-by-step explanation:

Answer:

25/81

hope It helped please mark brain list

Answer:

6.545 recurring

Step-by-step explanation:

we need to use division to answer this question!

144/22 = 6.545 recurring

hope this helped!

-cheesetoasty

Answer:

1 out of 6

Step-by-step explanation:

there is a 17% chance (this might be worng tho)

Answer:

Step-by-step explanation:

Its the blue and green rectangles

Answer:

Green and  Yellow

Step-by-step explanation:

If you divide the numbers and Area of the yellow one by 2, it becomes the green

Answer:

in 8 years each school will have about 1,040 students

Step-by-step explanation:

let 'x' = years

y = 30x + 800

y = -25x + 1240

30x + 800 = -25x + 1240

55x = 440

x = 8

Step-by-step explanation:

we can solve this question using Pythagorean theorem the hypotenuse of the ladder is 8 metres and base of the ladder is 6 metres so height will be..........

Hypotenuse²=Base²+ Height²

8²=6²+H²

64-36=H²

28=H²

7√2=H² Answer

Answer:

10

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

This is because it is asking for a budget meaning that you have to spend less or equal to 200

Step-by-step explanation:

Answer:

no because there are more than 1 X inputs.

Step-by-step explanation:

Answer:

Nope

Step-by-step explanation:

The relation isn't a function because a function is a relation where each x-value has only one corresponding y-value. Try to put a vertical line through that shape made by the graph to test if it's a function. If it passes through multiple points, it's not a function. For example, if you put the vertical line x=3 in that same graph, it will intersect with the relation at points (3, -3) and (3, 4), and therefore is not a function.

hope this helps, please lmk if im wrong!!!

as c and n directly vary it can be said that

[tex]\frac{8}{13} = \frac{n}{4}[/tex]

now we just solve for n

[tex]\frac{8}{13}=\frac{n}{c} \\13n=32\\n=2.46[/tex]

Answer:

471.3inches

Step-by-step explanation:

Given data

Diameter= 30in

Radius= D/2= 30/2= 15in

The circumference is the same as the distance covered in one revolution

C= 2πr

Hence the distance  covered in 5 revolutions is

C= 2*5*πr

Substitute

C=10*3.142*15

C= 471.3inches

Answer:

a) A(8,-3), B(4,-3), C(2,5)

b) not sure sry

Answer:

extra-large

Step-by-step explanation:

Answer:

See attachment for rectangle

Step-by-step explanation:

Given

[tex]A = (-6,0)[/tex]

[tex]B = (-4,0)[/tex]

[tex]Area = 12[/tex]

Required

Draw the rectangle

First, we calculate the distance between A and B using distance formula;

[tex]AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]AB = \sqrt{(-6 - -4)^2 + (0- 0)^2}[/tex]

[tex]AB = \sqrt{(-2)^2 + (0)^2}[/tex]

[tex]AB = \sqrt{4 + 0}[/tex]

[tex]AB = \sqrt{4}[/tex]

[tex]AB = 2[/tex]

The above represents the length of the triangle.

Next, calculate the width using:

[tex]Length * Width = Area[/tex]

[tex]2* Width = 12[/tex]

Divide both sides by 2

[tex]Width = 6[/tex]

This implies that, the width of the rectangle is 6 units.

We have:

[tex]A = (-6,0)[/tex]

[tex]B = (-4,0)[/tex]

Since A and B are at the upper left and right, then the ther two points are below.

6 units below each of the above point are:

[tex]C = (-6,0-6)\\[/tex] => [tex]C = (-6,-6)[/tex]

[tex]D = (-4,0-6)[/tex] => [tex]D = (-4,-6)[/tex]

Hence, the points of the rectangle are:

[tex]A = (-6,0)[/tex]

[tex]B = (-4,0)[/tex]

[tex]C = (-6,-6)[/tex]

[tex]D = (-4,-6)[/tex]

See attachment for rectangle

Answer:

7 miles

Step-by-step explanation:

35 x 0.2 = 7 miles

Answer:

7 mile

Step-by-step explanation:

In 1 hour, Abigail covers 20% of total distance.

In 1 hour, Abigail covers 20% of 35 mile

In 1 hour, Abigail covers (20/100 × 35) = 7 mile

Answer:

Number 1: 1 2/4 or 1 1/2

Number 2: 2 4/6

Number 3: 5/6

Step-by-step explanation:

For Numbers 1 and 2... You'd have to separate the whole number from the fraction and subtract accordingly.

Number 1: 2-1=1 and 3/4-1/4=2/4

So you would get 1 2/4.

Number 2: 3-1=2 and 5/6-1/6=4/6  

You would get 2 4/6

For Number 3 you would have to find the LCD (Least common denominator) for 1/2 and 2/3.

The answer will then be 5/6.

(I couldn't solve number 4 because it wasn't visible.)

I hope I helped! Leave a rating and a Thanks below. :D

Answer:

0

Step-by-step explanation:

The cotangent function is defined as cot x = adj / opp.

The terminal side of 270 degrees is the lower half of the y-axis.  The adj side is zero (0) and the opp side is -1;

Therefore, cot (-270 degrees) = adj / opp = 0/(-1) = 0

The required answer is cot(-270°) is undefined

Given that cot(-270°).

To evaluate cot(-270°) without a calculator, use the trigonometric properties and definitions.

First, let's recall the definition of the cotangent function. The cotangent of an angle is defined as the ratio of the adjacent side to the opposite side in a right triangle.

cot(theta) = adjacent side / perpendicular

When we consider -θ, it represents a reflection or rotation of θ about the origin. This reflection does not affect the ratio of the adjacent side to the opposite side in a right triangle.

Thus, cot(-θ) = cot(θ).

In this case, dealing with an angle of -270°. Since angles can be measured counterclockwise, -270° represents a rotation of 270° clockwise from the positive x-axis.

At -270°, the terminal side of the angle lies on the negative y-axis.

cot(-270°) = cot(270°)

Since 360° - 270° equals 90°, cot(360° - 270°) = cot (90°)

At 90°, the terminal side of the angle lies on the positive y-axis.

In a right triangle formed with the terminal side of the angle, the adjacent side and the opposite side are both zero.

Since the cotangent is the ratio of the adjacent side to the opposite side, and both sides are zero in this case, the cotangent of -270° is undefined or "not defined."

Therefore, cot(-270°) is undefined.

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Answer:

— 4√16(cos(4π3)+isin(4π3))=2(cos(−π6)+isin(−π6))=√3−i. Explanation: De Moivre's formula tells us that: (cosθ+isinθ)n=cosnθ+isinnθ.

Step-by-step explanation:

Answer:

its not b or a

Step-by-step explanation:

The volume of the rectangular prism is 4180in^3.

"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles".

For the given situation,

Length of the rectangular prism = 19 in

Width of the rectangular prism = 20 in

Height of the rectangular prism = 11 in

The formula for volume of the rectangular prism,

[tex]V=l[/tex] × [tex]w[/tex] × [tex]h[/tex]

On substituting the values,

⇒[tex]V= 19[/tex] × [tex]20[/tex] × [tex]11[/tex]

⇒[tex]V=4180[/tex]

Thus the volume of the rectangular prism is [tex]4180 in^{3}[/tex].

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