MATHEMATICS HIGH SCHOOL

Consider a rectangle with width of x units and an area of 10 square units. The length l of the rectangle can be modeled by the function f (x) = StartFraction 10 Over x EndFraction.

Answers

Answer 1

Answer:

Answer:

When we have a rectangle of width W and length L, the area of this rectangle can be calculated as:

A = W*L

In this case we have:

W = x

L = 10/x.

Then the area of the rectangle will be:

A = W*L = x*(10/x) = 10

So the value of x cancels in the equation, which means that we can not find the value of x.

Now, as L = 10/x we can find some restrictions:

if x = 0, we would have L = 10/0

So we can not have x = 0.

And as W = x, this represents a positive measure, we also have that x can not be a negative number.

So the relation:

W = x

L = 10/x

Gives us all the possible combinations of width and length such that the area of the rectangle is exactly 10 square units.

Answer 2

Answer:

Answer:

third graph

Step-by-step explanation:

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cindy has 34 meters of fencing.she plans to fence in a rectangular dog run that is 2 meters wide.[remember, the formula for the perimeter of a rectangle( the distance around) is p=2L+2w, where L=length and w=width. how long can the run be made?

Answers

15 meters long
34=2X + 2(2)
34= 2X + 4
30 = 2X
15 = X

For Edmentum

the current answer is... 15

use the formula for the perimeter and solve for L:

34 = 2L + 2(2)
34 = 2L + 4
30 = 2L
15 = L

In an orchestra the ratio of trombones to violas is 1 to 3.a. There are 9 violas. write a proportion that gives the number t of trombones in the orchestra.
b. How many trombones are in the orchestra? Please help, I'm in 8th grade! (:Thank youu..

Answers

Answer:

Givens

The ratio of trombones to violas is 1 to 3, that is, for every trombone there are 3 violas. $(t)/(v)=(1)/(3)$

So, if there are 9 violas, the number of trombones is three, because 9 violas represents a triple proportion, which means we need to multiply by 3 to find the number of trombones according to the given proportion.

$(t)/(9)=(1)/(3)\nt=(9)/(3)\n t=3$

The expression that gives the number of trombones is

$(t)/(9)=(1)/(3)$

The number of trombones is 3, there are 3 trombones while there are 9 violas.

The proportion would be 1/3 and x/9. Cross multiplication creates 3x=9. Divide both sided by three, and there are 3 trombones in the orchestra.

Which expression finds the measure of an angle that is coterminal with a 126° angle?A. 126° + (275n)°, for any integer n
B. 126° + (375n)°, for any integer n
C. 126° + (450n)°, for any integer n
D. 126° + (720n)°, for any integer n

Answers

The expression that gives an angle that is coterminal with 126 is 126 + 720n. Two angles are said to be coterminal if when they are drawn in a standard position, their terminal sides are on the same location. The expression will give an angle which when it is drawn the terminal sides are on the same location with the 126 angle.

The option (D) 126° + (720n)°, for any integer n is correct for any integer n.

What is coterminal angles?

Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.

We have an angle of 126 degree

As we know from the definition of the coterminal angle.

If any angle θ the coterminal angles are:

= θ + 360n (for any integer n)

Plug n = 2n

= θ + 720n (for any integer n)

Also represents the coterminal angle.

Thus, the option (D) 126° + (720n)°, for any integer n is correct for any integer n.

Learn more about the coterminal angles here:

brainly.com/question/23093580

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A large candy bar was 120 calories. Thesmaller candy bar has 16 percent less
calories. How many calories does the
smaller candy bar have?

Answers

The smaller chocolate bar has 100.8 calories. To find this multiply 120*0.16 to find the “16 percent less” which equals 19.2 less calories. Then subtract 19.2 from 120 to get 100.8

Hope this helps!

Answer: 119
The candy bar has 119 calories

Write a rule that translates the triangle IRT (blue) to triangle I'R'T' (red). Write you answer like this: (x,y)-->(x ___________, y __________) *

Answers

X +6. Y -4. I believe

What percent of 84 is 9?

Answers

If you would like to know what percent of 84 is 9, you can calculate this using the following steps:

x% of 84 is 9
x% * 84 = 9
x/100 * 84 = 9
x/100 = 9 / 84
x = 9/84 * 100
x = 10.71

The correct result would be 10.71%.

The percentage of the number 84 which equals 9 is 75/7 percent.