<u>Answer</u><u> </u><u>:</u><u>-</u>
9(3+√3) feet
<u>Step </u><u>by</u><u> step</u><u> explanation</u><u> </u><u>:</u><u>-</u>
A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .
Now here the other angle will be = (90°-30°)=60° .
<u>In ∆ABC , </u>
=> sin 30 ° = AB / AC
=> 1/2 = AB / 18ft
=> AB = 18ft/2
=> AB = 9ft .
<u>Again</u><u> </u><u>In</u><u> </u><u>∆</u><u> </u><u>ABC</u><u> </u><u>,</u><u> </u>
=> cos 30° = BC / AC
=> √3/2 = BC / 18ft
=> BC = 18 * √3/2 ft
=> BC = 9√3 ft .
Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .
<h3>
<u>Hence </u><u>the</u><u> </u><u>perim</u><u>eter</u><u> of</u><u> the</u><u> </u><u>triangular</u><u> </u><u>pathway</u><u> </u><u>shown</u><u> </u><u>is</u><u> </u><u>9</u><u> </u><u>(</u><u> </u><u>3</u><u> </u><u>+</u><u> </u><u>√</u><u>3</u><u> </u><u>)</u><u> </u><u>ft</u><u> </u><u>.</u></h3>
Answer:
and
is a right angle .
Step-by-step explanation:
Given : A reflection is a transformation that maps point Q in a figure over a line, AB, such that for point C at the intersection of AB and QQ'.
We know that reflection creates a image equidistant from the line of reflection.
Thus, 
Also in reflection , a line drawn from the point is perpendicular to the line of reflection.
Therefore,
is a right angle
If 0.75 cups = 20 cookies
0.375 cups = 10 cookies
1.875 cups = 50 cookies
The surface area of rectangular prism is 346 square meters.
Given the figure is rectangular prism.
We know that the surface area of rectangular prism with length L, width W and height H is = 2(LW+WH+LH)
Given that the length of prism = 5 m
Width of prism = 17 m
Height of prism = 4 m
So the total surface area of the rectangular prism is given by,
= 2 [5*17 + 17*4 + 4*5]
= 2 [85 + 68 + 20]
= 2*173
= 346 square meters
Hence the surface area of rectangular prism is 346 square meters.
To know more about Rectangular Prism refer to:
brainly.com/question/24284033
#SPJ4
Answer:
How many of these passwords contain at least one occurrence of at least one of the five special characters?