Answer:
B.62.8 inches
Step-by-step explanation:
just multiply the diameter by pi to get the circumference
20 x 3.14= 62.8
Step-by-step explanation:
f(x) = y= -x²-x+6
When y is max, f'(x) = 0
f'(x) = -2x-1
Equating to 0,
-2x-1= 0
x= -1/2
Put the value of x in f(x)
y = -(-1/2)² -(-1/2) +6
= -1/4+1/2+6
= 6+1/2
y= 13/2
Answer:
(i) x° = 28°
(ii) y° = 104°
(iii) z° = 76°
Step-by-step explanation:
x° is an alternate interior angle where transversal PQ crosses the parallel lines, so it has the same measure as the one marked 28°.
x° = 28°
__
The base angles of isosceles triangle PQR are both z°, so we must have ...
z° +z° +28° = 180° . . . . . . . . . sum of angles in a triangle
z° = (180° -28°)/2 = 152°/2 . . . solve for z
z° = 76°
__
y° and z° are a linear pair, so ...
y° = 180° -76°
y° = 104°
I FOUND YOUR FULL QUESTION IN OTHER FUENETES.
PLEASE SEE ATTACHED IMAGE.
For this case what you should do is find the area of the triangle which will be given by:
A = (1/2) * (b) * (h)
Where
b: base
h: height
Substituting the values we have:
A = (1/2) * (25 1/2) * (15)
A = 191.25 feet ^ 2
Answer:
she will need 191.25 feet ^ 2 to cover the back of the cabin
Answer:
200000
Step-by-step explanation:
The boat licenses are strings of six elements. Let's count the number of ways of constructing such string with the given conditions.
There are 2 ways of choosing the first character of the string (A or M). The second character can be any digit, so there are 10 possible choices. The third character is also any digit, so it can be chosen in 10 ways. Similarly, the fourth character can be chosen in 10 ways, and the fifth character can be chosen in 10 ways.
By the product rule there are 2×10×10×10×10×10=2×10^5=200000 ways to choose all the characters. Every choice of characters becomes a unique string (boat license) thus the number of avaliable boat licenses is 200000.s
