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3 years ago

The perimeter of a square is 52 find the area of the square

Mathematics

1 answer:

34kurt3 years ago

3 0

Answer:

169 sq. units

Step-by-step explanation:

If the perimeter of a square is 52, then one of its side lengths will be 13. This is because the side lengths of a square are all equal: you can find the length of one side by just dividing the perimeter by 4. Now that you have the length of one side, you can find the area of a square by multiplying said length by itself. 13 x 13 = 169.

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(05.08A)Triangle ABC is transformed to similar triangle A′B′C′ below:

Romashka-Z-Leto [24]

Answer:

1st option is correct i.e., 1 over 2

Step-by-step explanation:

Given that Triangle ABC transformed to Triangle A'B'C'.

Coordinated of Triangle ABC are A(2,6) , B(2,4) and C(4,4)

Coordinated of Triangle A'B'C' are A'(1,3), B'(1,2) and C'(2,2)

Scale factor of Dilation is the no. of times coordinates of vertices of a figure increase or decrease.i.e.,

if A(a,b) ⇒ A'(c,d)

where, a.k=c & b.k=d then k is scale factor of dilation.

Value of k is same for all vertices.

For coordinates of A & A' ,we have $2.k=1\implies k=\frac{1}{2} \:\: and \:\: 6.k=3\implies k=\frac{1}{2}$

For coordinates of B & B' ,we have $2.k=1\implies k=\frac{1}{2} \:\: and \:\: 4.k=2\implies k=\frac{1}{2}$

For coordinates of C & C' ,we have $4.k=2\implies k=\frac{1}{2} \:\: and \:\: 4.k=2\implies k=\frac{1}{2}$

Therefore, the scale factor of dilation is $\:\frac{1}{2}\:$ since in all cases $k=\frac{1}{2}$

1st option is correct i.e., 1 over 2

3 0

3 years ago

The length of a rectangle is 3 meters greater than 2 times the width. The perimeter of the rectangle is 30 meters.What is the le

faust18 [17]

Answer:

11 meters

Step-by-step explanation:

Lets say that w = width of the rectangle, to start. If the length of the rectangle is 3 meters greater than 2 times the width, the length of the rectangle is equal to 3 + 2w.

The perimeter of the rectangle is 2 * length of rectangle + 2 * width of the rectangle. With the perimeter being equal to 30 and width being w and length being 2w+3:

The perimeter of the rectangle is 2(w) + 2(2w+3) = 30.

We first need to find out w first, which will give us the width of the rectangle. Taking it step by step, we get:

2w + 4w + 6 = 30

6w + 6= 30

6w = 24 which is done by subtracting both sides by 6 to put the variables on one side and the values on the other side

w = 4 which is done by dividing 6 on both sides

Ultimately, this gets width to be 4 meters. Now that we found the width, we need to plug w = 4 into the equation we set up for length which is 2w+3.

That being said, the ANSWER is:

length of rectangle = 2(4)+3 = 11 meters

Hope this helps! :)

4 0

3 years ago

On the set of axes below, draw the graph of y=x^2-4x-1

never [62]

9514 1404 393

Answer:

axis of symmetry: x = 2

see below for a graph

Step-by-step explanation:

You can complete the square to put the equation in vertex form.

y = (x^2 -4x +4) -1 -4

y = (x -2)^2 -5 . . . . . . vertex is (2, -5)

The equation of the axis of symmetry is the equation of the vertical line through the vertex:

x = 2 . . . . . axis of symmetry

Points on the graph are easily found by using integer values on either side of x=2. Points on one side of the axis of symmetry are mirrored on the other side of it.

5 0

3 years ago

Yal my someone please help me with this, its teh last thing

USPshnik [31]

1) 2 1/3 is also equal to 7/3

4 1/5 is also equal to 21/5

you need to make the denominators the same so you have to find the lowest common multiple, which is 15 since both 5 and 3 can be times by to make 15

you need to also times the numerators by the number you're timesing the denominator by

7/3 x 5 = 35/15

21/5 x 3 = 63/15

now add those together

35/15 + 63/15 = 98/15

now just convert 98/15 back to a mixed fraction

98/15 = 6 8/15

the answer is..

$6 \frac{8}{15}$

I'll do the others in a different answer!!

3 0

2 years ago

On a piece of paper, graph y>x-1. Then determine which answer choice

zepelin [54]

The graph that matches the given equation is y≥x-1 is Graph A.

Option: C.

<u>Step-by-step explanation:</u>

The given equation y≥x-1 is a linear inequality equation.

Graphing Linear Inequalities differs from graphing regular linear equations. That is it has certain rules to be followed to draw the graph.

First, rearrange the equation as y in the left and other terms in the opposite side.
Check for the line: y= , y≤ and y≥ comes with straight line where as y< and y> comes with a dotted line.
Shading: If y> greater than or y≥ greater than or equal is present then the space above the line has to be shaded. If y< less than or y≤ less than or equal is present then the space below the line has to be shaded.

For the given equation y≥x-1,

The line will be solid passing through (0,-1) and (3,2) since it has y≥. Also, the region above the line is shaded.

So the graph A is the graph that matches the equation y≥x-1.

8 0

3 years ago