What is the volume of the rectangular prism below?

Identify the variation as direct, inverse, joint or combined.

Len [333]

Answer: Third option.

Step-by-step explanation:

<h3> The exercise is actually: "Identify the variation as direct, inverse, joint or combined: $V=r^2h$ "</h3><h3> </h3>

For this exercise it is important to remember that, by definition, a Joint variation is that variation in which one variable depends on two or more variables and there are a direct relation between these variables.

In this case, you have the following equation given in the exercise:

$V=r^2h$

Let's assume that "r" and "h" are variables.

You can identify that:

The variable "V" depends on the variables "r" and "h".
The variables are related directly.

So, based on this, the variation can be read as:

<em>"V" varies jointly with the square of "r" and "h".</em>

Therefore, you can conclude that the given variation is: Joint.

4 0

3 years ago

Find the area with a central angle of 170° and a diameter of 9.1 cm. Round to the nearest tenth.

alexandr402 [8]

AREA OF A SECTOR =1/2(Ф.R²). Note that R = Diameter/2

AREA OF A SECTOR =1/2(170°).(9.1)/2) =386.75 cm²

6 0

3 years ago

95 - 3/4 what is the value of the expression

natulia [17]

Answer:377 /4 = 94 and 1 / 4 =94.25

Step-by-step explanation:

Subtract

95 − 3 /4

= 377 / 4

Convert integer to fraction

95 = 95 / 1

Find common denominator

95 over 1

− 3 over 4

= ( 95 × 4 ) over ( 1 × 4 )

− ( 3 × 1 ) over ( 4 × 1 )

= 380 over 4

− 3 over 4

4 is the least common multiple of denominators 1 and 4. Use it to convert to equivalent fractions with this common denominator.

Subtract

380 over 4

− 3 / 4

= ( 380 − 3 ) / 4

= 377 /4

Simplify

377 / 4

= 94 and 1 /494

Reduce fraction to lowest terms

1 is the greatest common divisor of 377 and 4. The result can't be further reduced.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

377 /4

= 94 1 /4

377 ÷ 4 = 94 remainder 1

6 0

3 years ago

On a citrus farm, the average annual yield of oranges is 124 pounds per tree when the number of trees is 22 per acre. For each a

ELEN [110]

Answer:

Number of orange trees = 3528

Step-by-step explanation:

Given: Average annual orange yield = 124 pounds (lbs) per tree

Number of trees = 22 per acre

Each tree produces 124 pounds, so 22 trees will produce

124*22 = 2728 lbs per acre

For every additional tree over 22, 2 pounds per tree is lost.

So, if you add x trees, you lose 2x pounds.

Thus, we have the function:

f(x) = (124 - 2x)*(22 + x) for the added tree(s)

$f(x) = 2728 + 80x - 2x^{2}$

For quadratic equations like this, the maximum(or minimum) is obtained by substituting x= -b/2a into the given equation. a and b are obtained from the general form of a quadratic equation:

$y =ax^{2} + bx + c$