Answer:
(i) The surface(sheet) of a conical tent is circular so we must use the formula for the area of a circle to find out;
Given the diameter 14, we must find the radius.
To find the radius we must do 1/2 of the diameter to get the radius.
14 x 1/2 = <u>7</u>, is the radius
Formula for area of a circle;
a = πr^2
where pi is 3.14 or 22/7, r is the radius which is being squared
Plug in the actual values:
a = πr^2
a = 3.14 x 7^2
a = 3.14 x 49
a = 153.86 square meters, is the area of the conical tent's sheet.
(ii) Since there are 153.86 meters in one sheet, we should multiply that by $12(because $12 per meter) to get the total cost.
So,
153.86 meters x $12 = $1,846.32, it would cost 1,846.32 dollars.
Answer : Explained.
Step-by-step explanation: As given in the question and shown in the attached figure, ΔABC be the large triangular stone that Mei wants to divide into four smaller triangular stepping stones in a pathway.
Let D, E and F be the mid-points of the sides BC, CA and AB respectively. Then, DE, EF and FD are the mid-segments of ΔABC.
Then , we have
4 × Area of ΔDEF = 4 ×Area of ΔFBD = 4 × ΔAFE = 4 × Area of ΔECD = Area of ΔABC.
Thus, we have
ΔDEF ≅ ΔFBD ≅ ΔAFE ≅ ΔECD.
Thus, in this way, cutting along mid-segments creates four congruent stepping stones.
Answer:
7 ÷ 3/9 = 7 x 9/3 = (7x9)/3 = 63/3 = 21
Answer:
x=14
Step-by-step explanation:
9x = 3x + 84
9x-3x=84
6x=84
x=84/6
x=14
Perpendicular lines have slopes that are negative reciprocals of one another.
slope intercept form (y = mx + b) of the first equation will help us find the slope of the first line: where m = slope
5x-4y=10
-4y=-5x + 10
y=-5/-4 x + 10/-4
y=5/4 x -2.5
if the slope of this line is 5/4 then the slope of the perpendicular line is -4/5.
Therefore with the given information we can state the equation of the second line in point slope form (y-y,) = m(x-x,)
the coordinates of (5,12) can are substituted for x, and y,
so the answer is
(y-12) = -4/5(x-5)
I hope this helped and is BRAINLIEST!
Good luck with your studies!
