Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
which simplifies a bit to
and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
Answer:
Step 1: Factor left side of equation.
(5x−1)(3x−5)=0
Step 2: Set factors equal to 0.
5x−1=0 or 3x−5=0
x=
1
/5
or x=
5
/3
Answer:
a. ∠D'A'B'
Step-by-step explanation:
From the graph it is clear that the transformation doesn't affect the size and shape of the figure ABCD.
Only the coordinates of the points are changed with the length of each side remaining the same.
Hence the corresponding angle values will also remain unaltered.
∴ ∠DAB = ∠D'A'B'
This is the formula to solve for the vertex.
Example Question:
Find the vertex of y = -0.5x^2 + 100x
-b/2a = -100/2(-0.5) = -100/-1 = 100
The x coordinate of the vertex is 100.
Best of Luck!
P.S. this is 1000th question i've answered :)
Answer:
See below!
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Yes!
1) Centre
2) Radius {Plural: Radii}
3) Diameter
4) Arc
5) Pi is the ratio of a circle's circumference to its diameter
6) 3.14
7) 6m
8) 7 in
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥
Please, please give brainliest, it would be greatly appreciated, I only a few more before I advance, thanks!
