What is the volume of a cone with a radius of 18 cm and a height of 10 cm? Use 3.14 for pi. Round your answer to the nearest tenth

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

Dimensions of the photo is given by

[tex]20\ in.\ by\ 24\ in.[/tex]

According to question, the photo is reduced so that the longer dimension is 15 inch.

So, Let the width of the reduced photo be x.

So, it becomes,

[tex]\frac{20}{x}=\frac{24}{15}\\\\x=\frac{15\times 20}{24}\\\\x=12.5\ in.[/tex]

So, the width of the reduced photo is 12.5 inch.

Hence, Option 'B' is correct.

The [tex]x[/tex] coordinates of the point A is [tex]\boxed{\bf 0}[/tex].

The [tex]x[/tex] coordinates of the point B is [tex]\boxed{\bf 0}[/tex].

The [tex]x[/tex] coordinates of the point C is [tex]\boxed{\bf 10}[/tex].

Further explanation:

Given:

The coin labeled as A lies on the [tex]y[/tex]-axis.

The coin labeled as B lies on the origin.

The coin labeled as C lies on the [tex]x[/tex]-axis.

The distance of the point B and C is [tex]10\text{ cm}[/tex].

Concept used:

The point which lies on the [tex]x[/tex]-axis, the value of its [tex]y[/tex]-coordinate is [tex]0[/tex].

The point which lies on the [tex]y[/tex]-axis, their [tex]x[/tex]-coordinate is [tex]0[/tex].

The coordinate of the origin is [tex](0,0)[/tex].

Calculation:

The coin labeled as A lies on the [tex]y[/tex]-axis therefore the [tex]x[/tex]-coordinate of the point is [tex]0[/tex].

The coin labeled as B lies on the origin therefore the [tex]x[/tex]-coordinate of the point is [tex]0[/tex].

The distance from point B to the point C is [tex]10\text{ cm}[/tex] and the coin labeled as C lies on the x axis it means that the [tex]x[/tex]-coordinate of the point is [tex]10[/tex].  

Therefore, the [tex]x[/tex] coordinate of the point A is [tex]0[/tex].

The [tex]x[/tex] coordinate of the point B is [tex]0[/tex].

The [tex]x[/tex] coordinate of the point C is [tex]10[/tex].

Learn more:

1. Coordinate of the point : https://brainly.com/question/1286775

2. Equation: https://brainly.com/question/1473992

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Coordinate geometry

Keywords: Coordinate geometry, x-axis, y-axis, x-coordinate, y-coordinate, coin, square, three corners, three identical coins.

Answer:

B. 4

Step-by-step explanation:

This table that shows the input and output values for an exponential function f(x) is,

x                -3          -2       -1      0      1      2       3

f(x)          1/256      1/64    1/16   1/4    1     4       16

Taking [tex]x=2[/tex] and [tex]x=3[/tex] as input (because they are 1 apart), the ratio of output is,

[tex]=\dfrac{f(3)}{f(2)}[/tex]

[tex]=\dfrac{16}{4}[/tex]

[tex]=4[/tex]

Answer:

The correct answer is B. 4

Step-by-step explanation:

Answer:

The value of x is 24. The measures of angles 1,2,3,4,5,6,7,8 are 101, 79, 101, 101, 79, 79, 89, 89 respectively.

Step-by-step explanation:

If two line intersect each other, then vertical opposite angles are same.

[tex]3x+19=5x-29[/tex]                    (Vertical opposite angles)

[tex]19+29=5x-3x[/tex]

[tex]48=2x[/tex]

Divide both sides by 2.

[tex]24=x[/tex]

The value of x is 24.

Measure of angle 2 is

[tex]\angle 2 =3x+7=3(24)+7=79[/tex]                (Vertical opposite angles)

The measure of angle 2 is 79°.

Measure of angle 1 is

[tex]\angle 1 =180-\angle 2=180-79=101[/tex]           (Angle 1 and 2 are supplementary angles)

The measure of angle 1 is 101°.

Measure of angle 3 is

[tex]\angle 3 =180-\angle 2=180-79=101[/tex]           (Angle 3 and 2 are supplementary angles)

The measure of angle 3 is 101°.

Measure of angle 4 is

[tex]\angle 4 =4x+5=4(24)+5=101[/tex]                (Vertical opposite angles)

The measure of angle 4 is 101°.

Measure of angle 5 is

[tex]\angle 5 =\angle 2=79[/tex]                (Alternate Interior Angles)

The measure of angle 5 is 79°.

Measure of angle 6 is

[tex]\angle 5 =\angle 6=79[/tex]                 (Vertical opposite angles)

The measure of angle 6 is 79°.

Measure of angle 7 is

[tex]\angle 7 =180-(5x-29)=180-(5(24)-29)=89[/tex]                 (Supplementary angles)

The measure of angle 7 is 89°.

Measure of angle 8 is

[tex]\angle 8 =\angle 7=89[/tex]                 (Vertical opposite angles)

The measure of angle 8 is 89°.

Final answer:

The student is performing a probability calculation involving rolling two dice and must enumerate all possible outcomes. The probability of a specific sum is determined by dividing the number of ways to achieve that sum by the total number of possible outcomes, 36 in the case of rolling two dice.

Explanation:

The student's experiment consists of rolling two fair dice and adding the numbers that appear on the faces that land upwards. Each die in this scenario has the numbers 1, 2, and 3 on two opposite faces. When calculating the probability of specific sums resulting from this experiment, we need to consider all the possible outcomes (the sample space) and the number of ways to achieve the sum in question.

To find the probability of any particular sum, one must enumerate each distinct way that sum can occur. There are a total of 36 possible outcomes when rolling two dice (6 outcomes per die × 2 dice). For example, to calculate the probability of getting a sum of 4, we need to consider the possible dice combinations (1+3, 2+2, 3+1) that would result in that sum.

As for the probability of an event, it is the number of favorable outcomes over the total number of possible outcomes. If the event is 'rolling a sum of 4', and there are three combinations out of 36 total that yield that sum, the probability would be 3/36 or 1/12. Remember that we must count each die distinctly; although the numbers are the same (1, 2, 3), a roll of 1 on the first die and 3 on the second die is a different outcome from a roll of 3 on the first die and 1 on the second die.

Answer/Step-by-step explanation:

149.99+(149.99*0.07)=160.4893. Round to $160.49

Answer:

The value of a+b is 1.

Step-by-step explanation:

The given equation is

[tex]x^2-1x-90=0[/tex]

It is given that this equation has two solutions {a,b}.

First of all find the factors of given equation. The middle term can be written as -10x+9x.

[tex]x^2-10x+9x-90=0[/tex]

[tex](x^2-10x)+(9x-90)=0[/tex]

Taking out common from each parenthesis.

[tex]x(x-10)+9(x-10)=0[/tex]

[tex](x-10)(x+9)=0[/tex]

Using zero product property, we get

[tex]x-10=0\Rightarrow x=10[/tex]

[tex]x+9=0\Rightarrow x=-9[/tex]

The value of a is 10 and b is -9. The sum of both the solutions is

[tex]a+b=10-9=1[/tex]

Therefore the value of a+b is 1.

Answer:

1

Step-by-step explanation:

Answer is 1 for Apex Precal

Answer:

{y|−5≤y≤1}

Step-by-step explanation:

The range of the function is y ∈ [-5, 1] or  -5 ≤ y ≤ 1 if the function is  y = 3cos4x - 2 option second is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

y = 3cos4x - 2

As we know, cosx ∈ [-1, 1]

-1 ≤ cosx ≤ 1

-1 ≤ cos4x ≤ 1

-3 ≤ 3cos4x ≤ 3

-5 ≤ 3cos4x - 2 ≤ 1

-5 ≤ y ≤ 1

Thus, the range of the function is y ∈ [-5, 1] or  -5 ≤ y ≤ 1 if the function is  y = 3cos4x - 2 option second is correct.

Learn more about the function here:

brainly.com/question/5245372

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circumference of a circle= pi multiplied by the diameter

= 20ft x pi

=20 pi feet so the answer is b

To solve for 'x' in the parallelogram area equation, we multiplied the given base (5 units) by the height (x + 6 units) and set it equal to the given area (20 square units). After simplifying, we found that x must be -2 to satisfy the equation 5x + 30 = 20.

The question presented is a typical algebra problem where we need to find the value of 'x' in the context of the area of a parallelogram. The base of the parallelogram is given as 5 units and its height is given as (x + 6) units, with the total area given as 20 square units. Since the formula for the area of a parallelogram is base × height, we can set up the equation 5 × (x + 6) = 20 to find the value of x.

Now, we will solve for x:

Hence, the correct answer is b. x=-2.

The movie theater sold 117 adult tickets and 46 child tickets.

To solve this problem, we can set up a system of equations. Let's say the number of adult tickets sold is x and the number of child tickets sold is y. We can then write two equations based on the given information:

We can solve this system of equations by either substitution or elimination. Let's use elimination:

6x + 6y = 978

(6x + 6y) - (11x + 6y) = 978 - 163

-5x = -585

Divide by -5:

x = 117

117 + y = 163

y = 163 - 117

y = 46

Therefore, 117 adult tickets and 46 child tickets were sold.

Answer:

a) (3x+4)(9x^2-12x+16)

Step-by-step explanation:

Answer:

[tex]2\sqrt{5}[/tex]

C is the correct option.

Step-by-step explanation:

The given expression is [tex]\sqrt{180}-\sqrt{125}+\sqrt{5}[/tex]

In order to simplify the expression, we find the factors.

180 =6 ×6×5

125 = 5 ×5×5

Hence, we can rewrite the expression as

[tex]\sqrt{6\times6\times5}-\sqrt{5\times5\times5}+\sqrt{5}[/tex]

We can further write this expression as

[tex]\sqrt{6^2\times5}-\sqrt{5^2\times5}+\sqrt{5}[/tex]

Now, we can use the rule [tex]\sqrt{x^2}=x[/tex]

[tex]6\sqrt{5}-5\sqrt{5}+\sqrt{5}[/tex]

Finally, we can combine these like terms

[tex]2\sqrt{5}[/tex]

Hence, C is the correct option.