Answer:
Step-by-step explanation:
<u>Right Triangle</u>
The figure shows a right triangle with angles 2 and 3 unknown.
The sum of the internal angles of all triangles is 180°, since one of them is 90°, then the sum of the rest of the angles is 90°. It means that:
The measures of both angles are expressed as functions of x. Substituting their values:
x+8 + 2x + 7 = 90
Simplifying:
3x + 15 = 90
Operating:
3x = 90 - 15 = 75
Solving:
x = 75 / 3 = 25
x = 25°
Now, the measure of angle 2=x+8 = 33°
Answer:
From top to bottom:
3
7
6
12
Step-by-step explanation:
You just simply add the number in the top row and the number in the column together.
2 + 1 = 3
4 + 3 = 7
2 + 4 = 6
6 + 6 = 12
Answer:
40/3; 13.3333333333333
Step-by-step explanation:
The volume of the cone is:
(1/3)(pi)(r^2)(h) =
(1/3)(pi)(10^2)(10) =
1000pi/3
The volume of the cylinder is:
(pi)(r^2)(h) =
(pi)(5^2)(h) =
25pi(h) = 1000pi/3 -->
pi(h) = 40pi/3 -->
h = 40/3
Answer:
See below.
Step-by-step explanation:
The rocket's flight is controlled by its initial velocity and the acceleration due to gravity.
The equation of motion is h(t) = ut + 1.2 g t^2 where u = initial velocity, g = acceleration due to gravity ( = - 32 ft s^-2) and t = the time.
(a) h(t) = 64t - 1/2*32 t^2
h(t) = 64t - 16t^2.
(b) The graph will be a parabola which opens downwards with a maximum at the point (2, 64) and x-intercepts at (0, 0) and (4, 0).
The y-axis is the height of the rocket and the x-axis gives the time.
Maximum height = 64 feet, Time to maximum height = 2 seconds, and time in the air = 4 seconds.
Answer:
Hey there!
Let the cost of one uniform be c, so the expression becomes
c+13+11+18
Thus, we have c+42
Hope this helps :)
