You can round 396 to 400 and 71 to 70. then you just multiply them and get 28,000. :))
Answer:
The initial speed of the car was 80 ft/s.
Step-by-step explanation:
The deceleration is the rate at which the car speed decreases. In this case the speed of the car goes all the way down to 0 ft/s and in order to do that it travelled 50 ft. So we will call the initial speed at which the car started to brake "v_0" and use Torricelli's equation to find it. The equation is given by:
v^2 = (v_0)^2 + 2*a*S
Where v is the final speed, v_0 is the initial speed, a is the rate of acceleration and S is the space travelled. Using the values that the problem gave to us we have:
0^2 = (v_0)^2 - 2*64*50
0 = (v_0)^2 - 6400
(v_0)^2 = 6400
v_0 = sqrt(6400) = 80 ft/s
Notice that in this case "a" was negative, since the car was decelerating instead of accelerating.
The initial speed of the car was 80 ft/s.
Answer:
Step-by-step explanation:
The formula one would use for finding the volume of a rectangular prism is as follows:
- Volume = length × width × height ,
With this in mind, let's plug in the given variables in the question for this formula.
?
- We don't know the height, but that's just fine. We will plug in all our values and isolate
.
- I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.
- Notice, that the units on the left side cancel out, leaving only the unit
left next to the solution. In the same way, the units on the right side cancel out too, leaving only , height.
If involving units only confuses you, like it does for me, you can remove them like so, you just need to know what units your solution uses instead of being able to come to the proper units by using math.
Answer:
6 units squared
Step-by-step explanation:
Formula:
area = 0.25 * √( (a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c) )
Assign variables:
A = 5, B = 4, C = 3.
Distribute:
area = 0.25 * √( (5 + 4 + 3) * (-5 + 4 + 3) * (5 - 4 + 3) * (5 + 4 - 3) )
Combine like terms
area = 0.25 * √( (12) * (2) * (4) * (6) )
Multiply:
area = 0.25 * √(576)
Square root:
area = 0.25 * 24
Multiply:
area = 6 units squared
Answer: x = 38.4
Step-by-step explanation:
7-x/3 = -1-x/8
1. Add 1 to both sides
8-x/3 = -x/8
2. Add x/3 to both sides
8 = x/3 - x/8
3. Multiply x/3 by 8/8 and x/8 by 3/3 to get the same number under the quotient
8 = 8x/24 - 3x/24
4. calculate the difference between 8x/24 - 3x/24
8 = 5x/24
5. Multiply both sides by 24/5, and there is the answer
38.4 = x
