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3 years ago

PLEASE ANSWER!! A prop for the theater club's play is constructed as a cone topped with a half-sphere. What is the volume of

Mathematics

1 answer:

ira [324]3 years ago

6 0

Answer:

Volume of prop = 706.5 in³

Step-by-step explanation:

Given:

Radius = 5 in

Height = 17 in

Find:

Volume of prop

Computation:

Volume of prop = Volume of cone + Volume of hemi-sphere

Volume of prop = 1/3(π)(r²)(h) + 2/3(π)(r)³

Volume of prop = 1/3(3.14)(5²)(17) + 2/3(3.14)(5)³

Volume of prop = 444.83 + 261.67

Volume of prop = 706.5 in³

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Determine la ecuación general de la recta que pasa por los puntos (1,4); (- 2, - 5) y grafíquela.

Rudiy27

The equation of the line that passes through the points (1 , 4) and (-2, -5) is y = 3x + 1

<h3>Further explanation</h3>

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

<em>m → gradient of the line</em>

<em>( 0 , c ) → y - intercept</em>

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

$\large {\boxed {m = \frac{y_2 - y_1}{x_2 - x_1}} }$

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

$\large {\boxed{y - y_1 = m ( x - x_1 )} }$

Let us tackle the problem.

Let :

(1 , 4) → (x₁ , y₁)

(-2, -5) → (x₂ , y₂)

To find the straight line equation, the following formula can be used :

$\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}$

$\frac{y - 4}{-5 - 4} = \frac{x - 1}{-2 - 1}$

$\frac{y - 4}{-9} = \frac{x - 1}{-3}$

$\frac{y - 4}{3} = \frac{x - 1}{1}$

$y - 4 = 3 ( x - 1 )$

$y = 3x - 3 + 4$

$\large {\boxed {y = 3x + 1} }$

<h3>Learn more</h3>

Infinite Number of Solutions : brainly.com/question/5450548
System of Equations : brainly.com/question/1995493
System of Linear equations : brainly.com/question/3291576

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

4 0

3 years ago

One number is 9 more than another number, and the sum of the two numbers is 35.

Effectus [21]

<h2><u>Answer:</u></h2>

One number = x

Other number = 9 + x

Sum of the numbers = 35

Value of the smaller number (x) = ?

$9 + x + x = 35 \\ 9 + 2x = 35 \\ 2x = 35 - 9 \\ 2x = 26 \\ x = \frac{26}{2} \\ x = 13$

<h3>➟ The value of the smaller number is <u>13</u></h3>

7 0

3 years ago

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Eight people are entered in a race. If there are no ties, in how many ways can the first three places come out? a.336 b.368 c.67

Luden [163]

The first thing to do is to calculate how many ways you can choose 3 people from a set of eight. In order to do this, we need to use the attached formula.
(The letter 'n' stands for the entire set and 'r' stands for the number of objects we wish to choose.)
So we wish to choose 3 people ('r') form a set of 8 ('n')
combinations = n! / r! * (n - r)!
combinations = 8 ! / (3! * 5!)
combinations = 8 * 7 * 6 * 5! / (3!) * (5!)
combinations = 8 * 7 * 6 / 3 * 2
combinations = 56

Now of those 56 combinations, the 3 people can finish in 6 different ways.
For example, persons A, B and C could finish
ABC or ACB or BAC or BCA or CAB or CBA

So to get the TOTAL combinations we multiply 56 * 6 which equals
336 so the answer is (a)

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3 years ago

FIND THE AREA OF THE (RECTANGLE)

Thepotemich [5.8K]

Answer:

374

Step-by-step explanation:

A = l×w

A=17×22

A=374

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3 years ago

What is the dependent variable (effect) is this experiment?

IRISSAK [1]

Answer:

the grade you get on the test

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