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
we Know sin 45 = 1/√2
∴ 
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
Answer:
672.
Step-by-step explanation:
First find the prime factors:
112 = 2*2*2*2*7
96 = 2*2*2*2*2*3
There are 4 pairs of duplicate 2 's in the factors, so the LCM = 2*2*2*2*2*3*7
= 672 (answer).
Note: the duplicates only appear once in the calculation of the LCM.
Answer:
0.121 centimeters per second.
Step-by-step explanation:
We are told that in a recent snail race,the winning snail traveled 5.85 cm 3/4 of a minute.
To find the speed at which snail was traveling in centimeters per second, we will divide 5.85 by number of seconds in 3/4 of a minute.
First of all we will find how many seconds are equal to 3/4 of a minute.
Now we will divide 5.85 by 45 to find the speed of snail in centimeters per second.
Therefore, the snail was traveling at a speed of 0.121 centimeters per second.
Answer:
4
Step-by-step explanation:
<em>1 3/5(2/5) = 4</em>
Answer:alla
Step-by-step explanation:
