Answer:
<h2>
Angle X; 39</h2><h2>
Angle Y; 129</h2>
Step-by-step explanation:
180-90
90
This gives us the measurement of 51+x.
90-51
39
This is x as well as the angle that is across from it.
x+90=y
39+90=129
y=129.
to find the last angle, we add 90 to 51. This gives us 141.
So, now we add up all of the angles to double check everything. If they all add up to 360 then we are correct.
39+39+51+90+141=
360.
This means that we have solved everything correctly and that these are the correct answers.
I know that this is really confusing but the answers that you need are at the top so hopefully this helped!
Answer:
The water level is dropping at a rate of 0.24 ft/s
Step-by-step explanation:
Here, we simply want to calculate the change in depth (height of the cone) , given the volume change
Mathematically, we have the volume of a cone as;
V = 1/3 * π * r^2 * h
we are given dv/dt as 12 ft^3/m
dv/dh = 1/3 * π * r^2
Substituting the value for the radius, we have
dv/dh = 1/3 * 22/7 * 4^2 = 50.29
dh/dt = dh/dv * dv/dt
dh/dv = 1/(dv/dh) = 1/50.29
Thus,
dh/dt = 1/50.29 * 12
dh/dt = 0.24 ft/s
We can factor <span>4x^2-25 into (2x +5) * (2x -5) and
dividing by (2x -5)
yields (2x +5)
That neatened up pretty nicely.</span>
Answer:
50 kilometers
Step-by-step explanation:
If it travels 100 in an hour, it would travel 50 in half
Answer:
Approximately 117.81 ft²
Step-by-step explanation:
Find the area of the whole circle
A=πr²
A=π(15)²
A=706.86 ft²
Now you need to find the area of the garden covered in roses, so take the total degrees in a circle (360) and divide it by the degrees of the roses (60).
360/60=6
Take the area of the whole circle (706.86 ft²) and divide it by the number you just got (6). The number you get will be the area of the rose section.
706.86/6= 117.81 ft²
