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Anuta_ua [19.1K]
3 years ago
8

Easy please help asap!!

Mathematics
1 answer:
Inga [223]3 years ago
4 0
The ratio is 2:1 and the same for area
You might be interested in
A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
fomenos

Answer:

Wire used for square is 7.55 m.

Step-by-step explanation:

Let the length of wire cut for square be 'x'.

Given:

Total length of the wire = 25 m

Length of wire for square = 'x'

Length of wire for equilateral triangle = 25-x

Now, area of square (a) = x^2

Area of equilateral triangle (e) is given as:

e=\frac{\sqrt3}{4}(25-x)^2

Now, total area (A) is given as:

A=a+e\\\\A=x^2+\frac{\sqrt3}{4}(25-x)^2

Now, in order to maximize 'A', the derivative of area with respect to 'x' must be 0.

∴ \frac{dA}{dx}=0

\frac{d}{dx}(x^2+\frac{\sqrt3}{4}(25-x)^2)=0\\\\2x-\frac{\sqrt3}{2}(25-x)=0\\\\2x+\frac{x\sqrt3}{2}=\frac{25\sqrt3}{2}\\\\x(2+\frac{\sqrt3}{2})=\frac{25\sqrt3}{2}\\\\x(4+\sqrt3)=25\sqrt3\\\\x=\frac{25\sqrt3}{4+\sqrt3}=7.55\ m

Therefore, the length of the wire that is cut for square should be 7.55 m for maximum area.

3 0
3 years ago
The drama teacher wants to know whether more families of students at the school would attend a musical or a comedy.
Setler [38]

To determine whether more families of students at the school would attend a musical or a comedy , she should Assign a number to each family, use a computer program to select 20 random numbers , Option A is the right answer.

<h3>What are different survey methods ?</h3>

Some of the survey methods are Online Survey , Telephonic survey , Kiosk Survey , Face to Face Survey etc.

It is given that there are n number of families ,

To determine whether more families of students at the school would attend a musical or a comedy.

To do so she has to do random sampling from the group of families.

So , she should Assign a number to each family, use a computer program to select 20 random numbers.

Therefore Option A is the right answer.

The complete question is

The drama teacher wants to know whether more families of students at the school would attend a musical

or a comedy.

Which of the following survey methods will allow the drama teacher to make a valid conclusion about

which genre of performance more families would attend?

Choose 1 answer:

Assign a number to each family, use a computer program to select 20 random numbers

between 1 and the total number of families, and ask the families selected.

For each letter of the alphabet, assign a number to each family whose last name begins with

that letter, use a computer program to select a random number between 1 and the total

number of families whose last name begins with that letter, and ask the family selected.

To know more about different survey methods

brainly.com/question/3757800

#SPJ1

6 0
2 years ago
How many solutions are there for the system of equations shown on the graph?
PSYCHO15rus [73]

Answer:

Only one solution

Step-by-step explanation:

Given that there is a coordinate plane (say xy)

Two lines are given.

One line crosses the y axis at 3 and has a slope of negative 1.

hence equation of I line is y = -x+3

The other line crosses the y axis at 3 and has a slope of two thirds.

So equation is y = 2x/3 +3

Since the two lines lie in the same plane and are having different slopes, they intersect at one point.

Eliminate y to get

-x+3=2x/3+3

Or x=0

y=3

Hence solutionis (0,3) for the system.


6 0
4 years ago
Read 2 more answers
Graph a line through (2,-5) and have a slope of -4
kirill115 [55]

im sorry: In order to solve the inequality -x > 8, which of the following steps must be done?

7 0
3 years ago
What is 6.5 and 6.55 and -6 and six listed from least to greatest
Mars2501 [29]
-6, 6.5, 6.55. 6
The negative number is way smaller than the others, so its first. Then, 6 is the greatest than the others, so its last and the rest is based on the decimal.
4 0
3 years ago
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