Answer: 381.51 cubic inches
Step-by-step explanation:
1. Use the formula: V = π
h, or in this case, 3.14(
)(6)
2. Simplify to 3.14(20.25)(6)
3. Simply multiply all three numbers using a calculator, or one by one if that's the preferred option.
4. You get: 381.51 cubic inches.
Answer:
The position P is:
ft <u><em> Remember that the position is a vector. Observe the attached image</em></u>
Step-by-step explanation:
The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity
is:

Where
is the initial height = 0 for this case
We know that the initial velocity is:
82 ft/sec at an angle of 58 ° with respect to the ground.
So:
ft/sec
ft/sec
Thus

The height after 2 sec is:


Then the equation that describes the horizontal position of the ball is

Where
for this case
ft / sec
ft/sec
So

After 2 seconds the horizontal distance reached by the ball is:

Finally the vector position P is:
ft
Given:
Bees scored 9 less than three times as many points as the Hornets.
Wasps scored 28 more points than the Hornets.
Together the three teams scored 184 points.
To find:
The required equation for this scenario.
Step-by-step explanation:
Let x represent the number of points scored by the Hornets.
Bees scored 9 less than three times as many points as the Hornets.
Bees score = 3x-9
Wasps scored 28 more points than the Hornets.
Wasps score = x+28
Together the three teams scored 184 points.

Therefore, the required equation is
.
Hey there! :)
6 = 1 - b
Like I mentioned in my previous answer, we must isolate our variable. In this case, our variable is b.
So, our first step is to subtract 1 from both sides.
6 - 1 = 1 - b - 1
Simplify.
5 = b
Therefore, b = 5
~hope I helped~
Answer:
7
Step-by-step explanation:
1. Subtract the 4x on both sides = -14 = -2x
2. Divide -2 on both sides to get -14/-2 = x
3. -14/-2 = 7 so 7 = x