Answer:
21.5 feet.
Step-by-step explanation:
Calculate the length of a curved edge.
s =
m
360
· 2πr Use the formula for arc length.
=
90
360
· 2π(3) Substitute 3 for r and 90 for m.
= 1.5π Simplify.
Let t be the length of the cut encompassing the tray.
t = 2 · 1.5π + 2 · 6
= 3π + 12 Simplify.
≈ 21.5 ft Use a calculator to evaluate. Then round your answer to the nearest half foot.
The length of the cut encompassing the tray is 21.5 feet.
Ok, so the set up would be 3x+8 = 5x-40. If you solve for x you can then enter it into the equation and get your answer.
So subtract 3x from 3x and 5x. That leaves you with 8 = 2x-40
Next, you add 40 to both sides leaving you with 48 = 2x
Now divide 2 from x and 48 which give x = 24
Enter the value of x into the equation 3x+8
3(24)+8
80
And because we know it is an acute angle, angle ABC = 80 degrees
Answer:
-12
Step-by-step explanation:
x = 12-3a
When a=8:
x = 12-3(8)
x = 12 - 24
x = -12
9514 1404 393
Answer:
B. 5x−(−4x−6)=10
Step-by-step explanation:
The first equation gives an expression for y:
y = -4x -6
When that is used in the second equation, the result is ...
5x -y = 10
5x -(-4x -6) = 10 . . . . . . after substituting; matches B
Answer:
A theodolite
Step-by-step explanation:
theodolite is a precision instrument that is used to measure the angle in the horizontal and vertical planes and it is the most commonly used in surveying.
A modern developed theodolite consists of a movable telescope that is mounted within two perpendicular axes called the horizontal axis and the vertical axis. Pointing the telescope on a target object will enable measurement of angle with great precision.