Answer:

Step-by-step explanation:
we know that
The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
In this problem
The tangent of angle of 5 degrees is equal to the quotient of "rise over run"
Let
y ----> the rise of the ramp
x ----> the run of the ramp

we have

substitute and solve for x



Answer:
I'm sorry I don't know the equation, but she walks 3 mph.
Step-by-step explanation:
We know that the answer is asking for speed, which needs both distance and time, so we also need both. Which is where the 9 mph is used. 9 mph means its a difference. b means biking mph, w means walking mph, sooo ----->>> b=w+9, and the difference in the 1st equation is 36, which means the first equation is 4 times larger than the b=w+9, so she walked 48 miles, as well as walked 12 miles in 4 hours. Divide then distances by 4, and you get 12 miles and 3 miles in one hour. Or 12 mph & 3 mph, which fits into 12=3+9. So she walks 3 miles per hour.
Answer:
66.666 mph or 66.67
Step-by-step explanation:
First I would change 1/4 to .25 so the equation would look like this.
350/ 5.25 = 66.666 Continues so you could round it to the nearest hundredth.
Answer:
The right answer is Option B:

Step-by-step explanation:
In this case we have to perform a hypothesis test on the proportion of the people owning cats.
The claim is that the proportion is significantly different than 905, what means it can be greater or smaller than 90% to reject the null hypothesis. Because of that, the null hypothesis has to state an equality (H0:p=0.9).
The right answer is Option B:

D (56.5)
Originally, the train traveled 340 miles in 8 hours
If we use the formula d/t, we'll have 340/8, which is 42.5
If we add 14, then we'll have 56.5, or d