Answer:
0.4 sec
Step-by-step explanation:
Remember that
1 mile=5,280 feet
1 foot=12 inches
1 hour=3,600 seconds
Let
s -----> the speed in ft/sec
d ----> the distance in ft
t -----> the time in sec
s=d/t
Solve for t
t=d/s
step 1
Convert miles/hour to ft/sec
105 mi/h=105(5,280/3,600)=154 ft/sec
Convert 60 ft 6 in to ft
60 ft 6 in=60+(6/12)=60.5 ft
step 2
Find the time
t=d/s
we have
s=154 ft/sec
d=60.5 ft
substitute
t=60.5/154
t=0.39 sec
Round to the nearest tenth
t=0.4 sec
A polynomial that represents the volume of the Amazon box is; V(x) = x³ - 6x² + 5x
<h3>
How to calculate the volume of a box</h3>
- Length of box = x
- Width of the box is 4 inches less than the length. Thus; width = x - 4
- Height is said to be 1 inch less than the width. Thus; height = x - 4 - 1 = x - 5
Now, the formula for volume of a box is;
V = length × width × height
Thus;
V = x • (x - 1) • (x - 5)
V = x(x² - x - 5x + 5)
V = x(x² - 6x + 5)
V(x) = x³ - 6x² + 5x
In conclusion, the polynomial that represents the volume of the Amazon box is V(x) = x³ - 6x² + 5x
Read more on volume of a box at; brainly.com/question/15532376
Answer: The answer is sin A = cos C
Step-by-step explanation: sin A = cos C
Given:
The values of a linear function are 
and 
.
To find:
The linear function.
Solution:
If a linear function passes through two points, then the equation of the linear function is:
The values of a linear function are and . It means the function passes through the points (-9,8) and (0,1). So, the equation of the linear function is:
Adding 8 on both sides, we get
Putting 
, we get
Therefore, the required linear function is .
Hi there! So the toy car was on sale for 20%, and the sale price is $64. To find the original price of the toy car, we can write and solve a proportion. Set it up like this:
64/x = 80/100
This is because 64 is part of the whole, which is the original price, and although you get a 20% discount, you still have to pay 80% of the original price, which is why 80 is over the 100, in stead of 20. Let's cross multiply the values. 64 * 100 is 6,400 and 80 * x is 80x. That leaves 6,400 = 80x. Now, divide each side by 80 to isolate the x. 80x/80 cancels out. 6,400/80 is 80. We found the number, but let's check it. 80 * 80% (0.8) is 64. There. x = 80. The regular price of the toy car was $80.
