If we were to view the ramp from its side, the profile would resemble a right triangle with a 90 degree angle where the sofa meets the floor.
In this case, the two legs of the right triangle are 55 inches and 28 inches, and we looking for the length of the hypotenuse.
We can use Pythagorean Theorem which states:
where a and b are the legs, and c is the hypotenuse.
c = 61.717 inches
To the nearest tenth, the answer is 61.7 inches.
Answer:
Neal
Step-by-step explanation:
13.01 < 13.89
It's 77.7777777777777777%, but you can either round it to 77.77% or simply 78%
Answer:
The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.
Step-by-step explanation:
A linear equation can be expressed in the form y=m*x + b. In this equation, x and y are coordinates of a point, m is the slope and b is the y coordinate of the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.
When there are two points of a line (x1, y1) and (x2, y2), the slope is determined by the quotient between the difference of the ordinate of these two points and the difference of the abscissa of the same points. This is:
Having a point on the line, you can substitute the values of m, x and y in the equation y = mx + b and thus find b.
In this case:
- (x1, y1): (92, 107)
- (x2, y2): (116, 113)
So:
m= 0.25
substituting the values of m, x1 and y1 in the equation y = mx + b you have:
107= 0.25*92 + b
107 - 0.25*92= b
84=b
<u><em>The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.</em></u>
Answer:
A
Step-by-step explanation:
Since she's not spending more than $32, the equation is 2h + 8 ≤ 32.
Isolate h to find the maximum number of hours she can rent the boat:
2h + 8 ≤ 32
First, subtract 8 from both sides.
2h ≤ 16
Then divide both sides by 2.
h ≤ 8
h, the number of hours, must be less than or equal to 8, so 8 is the maximum number of hours Bernice can rent the boat for.
