Answer:
B
Step-by-step explanation:
Area of rectangle=length(l)×width(w)
In this case,length= w+4
so Area=(w+4)×w
Therefore Area=w^2+4w
Answer:
The value of the unit rate is 8
Step-by-step explanation:
we know that
To calculate the unit rate simply divide the first number by the second number
so
![12:1\frac{1}{2}](https://tex.z-dn.net/?f=12%3A1%5Cfrac%7B1%7D%7B2%7D)
Convert mixed number to an improper fraction
![1\frac{1}{2}=1+\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B2%7D%3D1%2B%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%2A2%2B1%7D%7B2%7D%3D%5Cfrac%7B3%7D%7B2%7D)
substitute in the expression above
![12:\frac{3}{2}=\frac{24}{3}=8](https://tex.z-dn.net/?f=12%3A%5Cfrac%7B3%7D%7B2%7D%3D%5Cfrac%7B24%7D%7B3%7D%3D8)
Answer:
9² = 40² + 41² - 2(40)(41) cos(C)
81 = 1600 + 1681 - 3280 cos(C)
81 = 3281 - 3280 cos(C)
-3200 = -3280 cos(C)
cos(C) = 3200 / 3280
cos(C) = 40 / 41
Step-by-step explanation:
<h3>Answers:</h3>
========================================================
Explanation:
x = number of seconds that elapse
y = altitude (aka height) of the plane
The equation for plane A is
y = 20.25x+2652
because it starts off at 2652 ft in the air, and then adds on 20.25 feet per second which is what the 20.25x describes
The equation for plane B is
y = 75.5x
The y intercept is zero because plane B starts on the ground, aka height 0.
------------------
The system of equations is
![\begin{cases}y = 20.25x+2652\\y = 75.5x\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dy%20%3D%2020.25x%2B2652%5C%5Cy%20%3D%2075.5x%5Cend%7Bcases%7D)
If we want to know when they'll reach the same height (y), then we can set the two right hand sides equal to each other and solve for x.
75.5x = 20.25x+2652
75.5x-20.25x = 2652
55.25x = 2652
x = (2652)/(55.25)
x = 48
The two planes reach the same altitude at exactly <u>48 seconds</u>
That altitude is <u>3624 feet</u> because
- y = 20.25*x + 2652 = 20.25*48+2652 = 3624
- y = 75.5*x = 75.5*48 = 3624
Notice I plugged x = 48 into each equation and I got the same y value of y = 3624. This helps confirm the answers.
Answer:
16.8
Step-by-step explanation:
You have to do 360 divided my 6048 because you have to do things on both numbers like moving the decimal.