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2 years ago

At how many different lines of reflection can you reflect a square onto itself?

Mathematics

1 answer:

dmitriy555 [2]2 years ago

7 0

Answer:7

Step-by-step explanation:

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Consuelo's living room is in the shape of a rectangle and has an area of 360 square feet. The width of the living room is 5/8 it

uranmaximum [27]

<h2>Therefore the length of the living room = 24 ft</h2>

Step-by-step explanation:

Given that , Consuelo's living room is in the shape of rectangle and has an area of 360 square feet and the width of the living room is $\frac {5}{8}$ its length

Let ,the length of the living room is = x ft

Then width = $\frac {5}{8}x$ ft

Therefore the area of the living room = $x \times \frac {5}{8}x ft^2$

According to problem,

$x\times \frac {5}{8}x = 360$

⇔ $\frac{5}{8}x^2=360$

⇔ $x^2 = \frac{360\times 8}{5}$

⇔ $x^2 = 576$

⇔ $x=\sqrt{576}$

⇔ $x = 24$

Therefore the length of the living room = 24 ft

8 0

2 years ago

Read 2 more answers

A savings account earns 5.32% interest in one year. If the account holds $4,978 for the entire year, about how much will it earn

Degger [83]

Answer:

264.8296, or 264.8 simplified.

Step-by-step explanation:

You would multiply 4,978 by 0.532, and you'd get 264.8.

3 0

3 years ago

When solving a system by substitution, one should

neonofarm [45]

B, because to substitute for a variable you have to have an equation to substitute first.

6 0

2 years ago

Which point is in the solution set of the given system of inequalities 3x+y>-3,x+2y<4

Dima020 [189]

Step 1. Solve both inequalities for $y$ :
$3x+y\ \textgreater \ -3$
$y\ \textgreater \ -3x-3$

$x+2y\ \textless \ 4$
$2y\ \textless \ -x+4$
$y\ \textless \ - \frac{1}{2} x+2$

Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines $-3x-3$ and $- \frac{1}{2} x+2$ :

$y=-3x-3$ (1)
$y=- \frac{1}{2} x+2$ (2)

Replace (1) in (2):
$-3x-3=- \frac{1}{2} x+2$
Solve for $x$ :
$\frac{5}{2} x=-5$
$x=-2$ (3)

Replace (3) in (1):
$y=-3x-3$
$y=-3(-2)-3$
$y=6-3$
$y=3$

We can conclude that the point (-2,3) is in the solution of the system if <span>inequalities</span>; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.

4 0

2 years ago

Read 2 more answers

What does the abbreviation for the Latin phrase Anno Domini refer to?

V125BC [204]

Answer:

I believe the answer is C. The years during Jesus Christ's lifetime. But I might be wrong. I'm sorry if I am.

Step-by-step explanation:

4 0

3 years ago