Answer:
<h3>11.8 feet</h3>
Step-by-step explanation:
Given
Length of the ladder = 12foot
angle of elevation = 80 degrees
Required
Height of the wall (opposite side)
The set up will form a right angled triangle where
length of the ladder is the hypotenuse
height of the wall is opposite;
Using SOH, CAH, TOA trig identity
According to SOH
sin 80 = opp/hyp
sin80 = opp/12
opp = 12sin80
opp = 11.82 feet
Hence the height of the wall is 11.8feet (to the nearest tenth)
Answer:
Option D y=3
Step-by-step explanation:
The question in English is
Which of the following functions is a constant function?
we know that
A <u>constant function</u> is a function whose output value is the same for every input value
so
<u><em>Verify each case</em></u>
case A) y=x+1
This is not a constant function, this is a linear equation
Is a function whose output value is different for every input value
case B) y=x+2
This is not a constant function, this is a linear equation
Is a function whose output value is different for every input value
case C) x=y+3
This is not a constant function, this is a linear equation
Is a function whose output value is different for every input value
case D) y=3
This is a constant function
Is a function whose output value is the same for every input value
Answer:
Step-by-step explanation:
125 miles / 150 minutes = 300 miles / x Criss multiply
Notice that the numerators both have the same units -- miles. Proportions should always be set up that way.
125 x = 150 * 300 Combine the right
125x = 45000 Divide by 125
x = 45000/125
x = 360 more minutes which is 6 hours.
Answer:
the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;
![\frac{\pi }{2} [e^2 - 1 ]](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20%20%5Be%5E2%20-%201%20%5D)
or 10.036
Step-by-step explanation:
Given the data in the question;
y = 
, y = 0, x = 1, x = 2.
Now, using the integration capabilities of a graphing utility
y = 
, y = 0
Volume = 
Volume = 
Volume = 
Volume = 
Volume = ![\frac{\pi }{e^2} [\frac{e^{2x}}{2}]^2_1](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7Be%5E2%7D%20%20%5B%5Cfrac%7Be%5E%7B2x%7D%7D%7B2%7D%5D%5E2_1)
Volume = ![\frac{\pi }{2e^2} [e^4 - e^2 ]](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B2e%5E2%7D%20%20%5Be%5E4%20-%20e%5E2%20%5D)
Volume = or 10.036
Therefore, the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;
or 10.036
