Answer:
$2.83
Step-by-step explanation:
Diameter of the pool = 24ft
Cost of 1 ft² = $0.15
Area of the pool=?
But the pool is a circular pool,
Area of a circle = Πr² or πd²/4
π = 3.142
Area of the pool = (π * 24) / 4
Area = (3.142 * 24) / 4
Area = 18.85ft²
If 1ft² = $0.15
18.85 = $x
x = (18.85 * 0.15) / 1
x = $2.8275 = $2.83
The cost of the pool is $2.83
Hi there!
Step-by-step explanation:
![SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}](https://tex.z-dn.net/?f=SLOPE%3D%5Cfrac%7BY_2-Y_1%7D%7BX_2-X_1%7D%3D%5Cfrac%7BRISE%7D%7BRUN%7D)
![\frac{5-0}{6-1}=\frac{5}{5}=1](https://tex.z-dn.net/?f=%5Cfrac%7B5-0%7D%7B6-1%7D%3D%5Cfrac%7B5%7D%7B5%7D%3D1)
<u><em>Slope is 1.</em></u>
<u><em>Final answer is 1.</em></u>
<u><em>*The answer must have a positive sign.*</em></u>
Hope this helps!
Thanks!
Have a nice day! :)
:D
Congruent triangles have equal corresponding sides and angles.
- The measure of the side lengths are:
,
and ![\mathbf{GJ = 19m}](https://tex.z-dn.net/?f=%5Cmathbf%7BGJ%20%3D%2019m%7D)
- The measure of the angles are:
,
and ![\mathbf{\angle F = 105^o}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cangle%20F%20%3D%20105%5Eo%7D)
The given parameters are:
![\mathbf{\triangle D EF \cong \triangle GJH}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Ctriangle%20D%20EF%20%5Ccong%20%5Ctriangle%20GJH%7D)
![\mathbf{EF = 14m}](https://tex.z-dn.net/?f=%5Cmathbf%7BEF%20%3D%2014m%7D)
![\mathbf{D E = 19m}](https://tex.z-dn.net/?f=%5Cmathbf%7BD%20E%20%3D%2019m%7D)
![\mathbf{GH = 16m}](https://tex.z-dn.net/?f=%5Cmathbf%7BGH%20%3D%2016m%7D)
![\mathbf{\angle D = 34^o}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cangle%20D%20%3D%2034%5Eo%7D)
![\mathbf{\angle H = 105^o}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cangle%20H%20%3D%20105%5Eo%7D)
means that triangles DEF and GHJ are congruent triangles.
So, we have:
![\mathbf{DF = GH}](https://tex.z-dn.net/?f=%5Cmathbf%7BDF%20%3D%20GH%7D)
This gives
![\mathbf{DF = 16m}](https://tex.z-dn.net/?f=%5Cmathbf%7BDF%20%3D%2016m%7D)
Also, we have:
![\mathbf{JH = EF}](https://tex.z-dn.net/?f=%5Cmathbf%7BJH%20%3D%20EF%7D)
This gives
![\mathbf{JH = 14m}](https://tex.z-dn.net/?f=%5Cmathbf%7BJH%20%3D%2014m%7D)
Also, we have:
![\mathbf{GJ = DE}](https://tex.z-dn.net/?f=%5Cmathbf%7BGJ%20%3D%20DE%7D)
This gives
![\mathbf{GJ = 19m}](https://tex.z-dn.net/?f=%5Cmathbf%7BGJ%20%3D%2019m%7D)
The following angles are also congruent
![\mathbf{\angle F = \angle H}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cangle%20F%20%3D%20%5Cangle%20H%7D)
This gives
![\mathbf{\angle F = 105^o}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cangle%20F%20%3D%20105%5Eo%7D)
Also, we have:
![\mathbf{\angle G = \angle D}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cangle%20G%20%3D%20%5Cangle%20D%7D)
This gives
![\mathbf{\angle G = 34^o}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cangle%20G%20%3D%2034%5Eo%7D)
The measure of angle J is then calculated using
![\mathbf{\angle J + \angle H + \angle G = 180^o}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cangle%20J%20%2B%20%5Cangle%20H%20%2B%20%5Cangle%20G%20%3D%20180%5Eo%7D)
This gives
![\mathbf{\angle J + 105 + 34= 180^o}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cangle%20J%20%2B%20105%20%2B%2034%3D%20180%5Eo%7D)
![\mathbf{\angle J + 139= 180^o}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cangle%20J%20%2B%20139%3D%20180%5Eo%7D)
Subtract 139 from both sides
![\mathbf{\angle J = 41^o}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cangle%20J%20%3D%2041%5Eo%7D)
Read more about congruent triangles at:
brainly.com/question/4364353
1 mi and 900 ft,1 mile = 5280 ft
Answer:
90
Step-by-step explanation:
You're equation is a * b, and that is equal to 6 * 15.
so, it is 90.