Which number is an integer? -3 -6.1 2 1/2 7.8

What is the perimeter of the figure

Natalija [7]

Answer:

The perimeter of the figure is 111.46 units

Step-by-step explanation:

Given:

RS = 43

LS = 18√2

A right Triangle is attached to a Rectangle.

A right Triangle is having measure angle 45° , 90°

and Hypotenuse = 18√2

∴ The Third Angle measure will also be 45° {angles Sum property of a triangle}

∴ the right angled triangle is an Isosceles triangle.

∴ Two sides are equal LT = TS

To Find:

Perimeter of figure = ?

Solution:

we have

$\sin 45 = \frac{\textrm{side opposite to angle 45}}{Hypotenuse}\\$

we Know sin 45 = 1/√2

∴ $\frac{1}{\sqrt{2} }= \frac{LT}{18\sqrt{2}}\\\\\therefore LT = 18\ unit\\\\\therefore TS = 18\ unit\\$

Now ,

ARTL is a Rectangle

∴ opposite side of a rectangle are equal

∴ LT = AR = 18 unit

and AL = RT

But,

RT = RS - TS

= 43 - 18

25

∴ AL = RT = 25

∴ Perimeter of figure = AL + LS + RS + AR

= 25 + 18√2 + 43 + 18

= 86 + 18√2

= 111.455

= 111.46 units

∴ Perimeter of figure = 111.46 units

7 0

3 years ago

Which graph shows the solution to the system of linear inequalities? Y<2x-5 y>-3+1

butalik [34]

Answer:

Is the second expression written correctly? It reduces to y>-2, since no x is in the equation.

Step-by-step explanation:

We can graph the two equations. See attached image. If y>2 is the correct expression, all points to the right.

If the equation was meant to read y=-3x+1, then graph the revised expression.

3 0

2 years ago

A group of 60 people attended a ball game there were four times as many children as adults in the group set up a system of equat

Andrei [34K]

Answer:

4X + X = 60

Step-by-step explanation:

Adults = X

Children = 4 × X

4X + X = 60

I couldnt understand the question that well but this is what i got from it

5 0

3 years ago

A radio telescope has a parabolic surface. If it is 1m deep and 16m wide how far is the focus from the vertex?

Mrac [35]

Basing on the description, a parabola opening up with vertex at origin, the formula with vertex at origin is used, x^2 = 4py. p is the focus and so with the dimensions given, we obtain a 0.25 and that is the distance of the focus to the vertex.

6 0

3 years ago

Multiply the following numbers. Reduce the answer to lowest terms. 3 1/5 x 2 1/7

Veseljchak [2.6K]

Answer:

48/7

Step-by-step explanation:

= 3 1 × 2 1

5. 7

= 16 × 15

5. 7

= 240 , if we divide both numbers by 5 we get;

35

= 48

7

4 0

3 years ago