The dimensions of a cone are shown in the figure below. What is the approximate volume, in cubic centimeters, of the cone?​

Answer:

1900

Step-by-step explanation:

i took the est

In this exercise we have to calculate the value of the water depth, so we have: d=5.5Cos(12t)+6

A periodic wave is a wave with a repeating continuous pattern that determines its wavelength and frequency

Putting together some information given in the statement we have:

Knowing that the formula will be given by an equation similar to:

[tex]d=acos(bt)+k[/tex]

Where:

The amplitude difference is given by:

[tex]8.75-3.25=5.5\ m[/tex]

The mean depth is:

[tex]k=\dfrac{(3.25+8.75)}{2}=6\ m[/tex]

Then writing the equation with;

[tex]d=acos(bt)+k\\\\d=5.5cos(12t)+6[/tex]

Hence the value of water depth will be d=5.5Cos(12t)+6

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Answer:

484 meters squared

Step-by-step explanation:

Area is Length times Width.

You're dealing with a square meaning all sides are equal.

You simply need to do 22m x 22m = 484m squared

The decimal equivalent of 7 half’s is the number in decimal form

The exact decimal equivalent of 7 half’s is 3.5

A decimal number is a number represented by an integer and a fractional part

The number is given as:

7 halves

Express as product

7 * 1/2

Evaluate the product

3.5

Hence, the exact decimal equivalent of 7 half’s is 3.5

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The amount of each monthly installment is $1,294 and the hire purchase of the car​ is: $4,158.

a.  Monthly installment

2 1/2 years=30 months

First step

Amount payable=[49,500×(1-.30)] /30 months

Amount payable=(49,500×.70)/30 months

Amount payable=$34,650/30 months

Amount payable=$1,155

Second step

Amount of monthly installment=[$1,155×(1+0.12)

Amount of monthly installment=$1,155×1.12

Amount of monthly installment=$1,293.6

Amount of monthly installment=$1,294 (Approximately)

b. Hire purchase

Hire purchase=$1,155×.12×30 months

Hire purchase=$4,158

Therefore the amount of each monthly installment is $1,294 and the hire purchase of the car​ is: $4,158.

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Answer:

500

Step-by-step explanation:

let's say charlie sends x messages per month

he spends $50 + 0.05 for each x (message), which comes out to less than or equal to $75.

as an equation, this is

50 + 0.05 x ≤ 75

subtract both sides by 50 to isolate the variable and its coefficient

0.05 x ≤ 25

multiply both sides by 1/0.05 to isolate x

x ≤ 500

the maximum is therefore x = 500 messages

Answer:

D. Neither A not B is true.

Step-by-step explanation:

The solutions of the equations are none among the given answers..So, it's neither a not b.

You have marked the right option:D

Hope it helps:)

Answer:

Step-by-step explanation:

The bodybuilder gains 1.5 each week for 5 weeks.

If the bodybuilder gains 1.5 for 5 weeks, how many pounds did he gain?

1.5 * 5 = 7.5

Answer:

3,295.4

Step-by-step explanation:

to the nearest tenth is 3,295.4

Step by Step Explanation:

Here, to find the slope of line passing through two points x₁,x₁ and y₁,y₂ is given by:-

[tex]\sf m=\frac{y_2 - y_1}{x_2 - x_1} [/tex]

where,

x₁ = 2

x₂ = 9

y₁ = 5

y₂ = 8

Therefore putting the values , we get

[tex] \sf \: m=\frac{y_2 - y_1}{x_2 - x_1} \\ \\ : \longrightarrow \: \frac{8 - 5}{9 - 2} \\ \\ : \longrightarrow \: \frac{3}{7} [/tex]

Hence, the slope of line passes through the points (2, 5) and (9, 8) is 3/7.

Ohhh, interest problems. I haven't done an equation like this in a long time, but I will attempt.

I would say that the answer is the 2nd option. The equation is i = (5200)(0.06)(2.5).

The traditional interest formula is I = (P)(R)(N).

P = the original amount of money given

R = interest rate

N = the amount of time

I hope this answers your question (and that I understood the question correctly!).

-Toremi

Answer:

50%.

Step-by-step explanation:

please mark me the brainiest

Answer:

okay so the answer is 70°

Step-by-step explanation:

the triangle has two sides equal meaning its a scalene triangle. now bases scalene triangles have two angles equal. hence sum of angles in the triangle sum up to 180° please. rate. me brainliest. if I'm. right

[tex]55 + 55 + x = 180 \\ 110 + x = 180 \\ x = 180 - 110 \\ x = 70degrees[/tex]

Answer:

Answer:33,056

Step-by-step explanation:i dont know jut put this answer

5 red, 4 yellow, 9 blue, 2 pink, 4 purple

5 + 4 + 9 + 2 + 4 = 24 people

Calculate persons of each color

Total:&

Answer: B, Randomly select 6 graduate students and 24 undergrad students for the survey.

Step-by-step explanation: This guarantees that each type is proportionately represented in the survey.

Not A because it risks too many or too few graduate students. It is not C because again, it risks too many or too few graduate students. It is not D because each section has about 50 students and the professor only wants 30 in his sample.

Answer:

Step-by-step explanation:

B

Answer:

Domain:  { x ∈ R | x ≠ -2, 3 }

Step-by-step explanation:

[tex]f(x)=\dfrac{(x+2)(x-1)}{(x-3)(x+2)}[/tex]

The domain (x-values) of a rational function is all real numbers of x with the exception of those for which the denominator is 0.   Therefore, to find the values of x that need to be excluded from the domain, equate the denominator to zero and solve for x.

The denominator for the given function is [tex](x - 3)(x + 2)[/tex]

[tex]\implies (x - 3)(x + 2)=0[/tex]

[tex]\implies (x - 3)=0\implies x=3[/tex]

[tex]\implies (x + 2)=0 \implies x=-2[/tex]

There will be a hole at x = -2 and an asymptote at x = 3.

So the values of x that need to be excluded from the domain are:

x = 3 and x = -2

Therefore, the domain of the given rational function is:  { x ∈ R | x ≠ -2, 3 }

Answer:

is this a question?

Step-by-step explanation:

The volume of any shape is the amount of space in it.

The volume of the cylinder is 1570 square units

The question is incomplete. Assume the following parameters

Shape = Cylinder

Radius, r = 10

Height, h = 5.

The volume of a cylinder is:

V = πr^2h

So, we have:

V = 3.14 * 10^2 * 5

Evaluate the product

V = 1570

Using the assumed values, the volume of the cylinder is 1570 square units

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Answer:

I cannot answer this question because it is not complete. Please use complete sentences and questions.

The quadratic equation which matches given solution is x² + 3x + 3 = 0. Then the correct option is C.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

We know that the formula

[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The solutions are given below.

[tex]\rm x = \dfrac{-3 \pm \sqrt3 \iota }{2}[/tex]

Then

1)  2x² + 6x + 9 = 0, the zeroes of the equation will be

[tex]\rm x = \dfrac{-6\pm 6\iota}{4}\\\\x = \dfrac{-3\pm 3 \iota}{2}[/tex]

2)  x² + 3x + 12 = 0, the zeroes of the equation will be

[tex]\rm x = \dfrac{-3\pm \sqrt{39}\iota}{2}[/tex]

3)  x² + 3x + 3 = 0, the zeroes of the equation will be

[tex]\rm x = \dfrac{-3\pm \sqrt3\iota}{2}[/tex]

4)  2x² + 6x + 3 = 0, the zeroes of the equation will be

[tex]\rm x = \dfrac{-6\pm 2\sqrt{3}}{4}\\\\x = \dfrac{-3\pm \sqrt3 }{2}[/tex]

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The numbers which should be placed in the boxes from left to right, when Juanita factor the expression, is 6 and 3 respectively.

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

Juanita begins to factor an expression as shown.

[tex]x^2+ 3x-18=(x+ \;\;)(x-\;\;)[/tex]

To find the value of blank, we have to factor the left-hand side expression using the split the middle term method as,

[tex]x^2+ 3x-18\\x^2+ 6x-3x-18\\x(x+6)-3(x+6)\\(x+6)(x-3)[/tex]

Hence, the numbers which should be placed in the boxes from left to right, when Juanita factor the expression is 6 and 3 respectively.

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Answer:

The answer is given in the picture

Step-by-step explanation:

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[tex]~~~~\sec\left(y+\dfrac{\pi}2 \right) = -2\\\\\\\implies \left[\cos \left( y+ \dfrac{\pi}2 \right) \right]^{-1} = -2\\\\\\\implies \left( \cos y \cos \dfrac{\pi}2 -\sin y \sin \dfrac{\pi}2 \right)^{-1} =-2\\\\\\\implies \left(0- \sin y \right)^{-1} =-2\\\\\\\implies \left(-\sin y \right)^{-1} = -2\\\\\\\implies \sin y = \dfrac 12\\\\\\\implies y = n\pi + (-1)^{n} \dfrac{\pi}6\\\\\text{In the interval, }~(0,\pi)\\\\\\y= \dfrac{\pi}6, ~\dfrac{5\pi}6[/tex]

Answer: 44.85 in decimal and 44 Rem 52

Step-by-step explanation: Check my file for long calculation. You can stop when the remainder is 52 Or continue to divide further with decimal