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:
19
Step-by-step explanation:
If you want to find the answer of the equation, sub the given information into it:
z + xz + y
we know that:
x = 5
y = 1
z = 3
We got:
= 3 + 5*3 + 1
= 3 + 15 + 1
= 19
Hope this helped :3
I'll do 22 for you. 22, 24, 26, 28, and 30, are very similar to each other.
PROPORTIONS:
Draw it out.
5/7 = either c/6, or b/5.
I'll do c/6
5/7 = c/6
solve for c
7c=30
c=30/7
now do the same thing to the remaining side, b.
there!
Answer:
x^2y / 4
Step-by-step explanation:
x^4 y^4 / 4x^2 y^3
x^4 / x^2 = x^2 and y^4 / y^3 = y so:
this = x^2y / 4
Answer:
There are 200 trees per acre.
Step-by-step explanation:
47000 trees divided by 235 acres gets you 200 trees per acre.
When you go back and check your work, 200 trees per acre times 235 acres equals 47000 trees.
I hope this helps! :)