Answer:
1, 2, and 6
Step-by-step explanation:
5*.25=1.25 7*.25=1.75 12*.25=3
The distance between the building and the ladder is 34.876 foot.
<h3>What is a Right Triangle?</h3>
A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.
The ladder forms a right triangle with the building and the ground,
The length of the triangle is 40 foot
The angle made by the ladder is 29.32 degree
By using Trigonometric Ratios
cos 29.32 = Base / Hypotenuse
cos 29.32 = Base / 40
0.8718 × 40 = Base
Base = 34.876 foot
Base is the distance between the building and the ladder.
Base of the ladder = 34.876 foot
To learn more about trigonometric functions from the given link
brainly.com/question/24336684
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Answer: If we define 2:00pm as our 0 in time; then:
at t= 0. the velocity is 30 mi/h.
then at t = 10m (or 1/6 hours) the velocity is 50mi/h
Then, if we think in the "mean acceleration" as the slope between the two velocities, we can find the slope as:
a= (y2 - y1)/(x2 - x1) = (50 mi/h - 30 mi/h)/(1/6h - 0h) = 20*6mi/(h*h) = 120mi/
Now, this is the slope of the mean acceleration between t= 0h and t = 1/6h, then we can use the mean value theorem; who says that if F is a differentiable function on the interval (a,b), then exist at least one point c between a and b where F'(c) = (F(b) - F(a))/(b - a)
So if v is differentiable, then there is a time T between 0h and 1/6h where v(T) = 120mi/
Answer:
You will need 3 6/13 quarts of peanuts to make 3 jars of peanuts butter
Step-by-step explanation:
To make this answering seamless, we make the mixed fractions into improper fractions
Hence 2 1/2 becomes 5/2
while 2 1/6 becomes 13/6
Here we are told that a bag with 5/2 quarts of peanuts can make 13/6 jars of peanuts butter
Hence, x quarts of peanuts will make 3 jars of peanuts butter
To get the value of x, what we simply need to do is to cross multiply.
Thus, we have
5/2 - 13/6
x - 3
3 * 5/2 = 13/6 * x
15/2 = 13x/6
26x = 90
x = 90/26
x = 45/13
x = 3 6/13
