Answer:
The answer to your question is SA = 2419.34 m²
Step-by-step explanation:
Data
a = 11.42 m
side = 11 m
height = 20 m
Formula
SA = 2B + PH
Process
1.- Calculate P
Perimeter = P
P = 7(11)
= 77 m
2.- Calculate B
B = Pa/2
= (77)(11.42)/2
= 879.34/2
= 439.67 m²
3.- Calculate 2B
2B = 2(439.67)
= 879.34 m²
4.- Calculate PH
PH = (77)(20)
= 1540 m²
5.- Calculate SA
SA = 879.34 + 1540
= 2419.34 m²
Answer:
$12
Step-by-step explanation:
assuming that the cost of delivery is constant irrespective of the number ordered
Let the cost of sandwich be x
First office
$33=4x+c where c is the cost of delivery
Second office
$61=8x+c
These two are simultaneous equation. Subtracting the equation of first office from the second office we obtain
4x=28
Therefore, x=28/4=7
The cost of delivery is 33-(4*7)=33-28=5
Therefore, one sandwich plus delivery costs 7+5=$12
Answer:
2000 miles.
Step-by-step explanation:
If she has the car for One day she can drive 2000 miles.
if she has the car for 2 days she can drive 1500
if she has the car for 3 days she can drive 1000
If she has the car for 4 days she can drive 500
There is a theorem that says that this angle (formed by thre points on the circumference) is half such arc called EF.
We can deduct it as well.
1) Call O the center of the circle. The central angle (EOF) = arc EF = 151°
2) Draw a chord from F to D and other chord from D to E.
You have constructed two triangles, FOD and DOE.
3) Triangle FOD has two sides equals (because both are the radius of the circcle). Then, this is an isosceles triangle and it has two angles of the same measure. Call this measure a.
4) Triangle DOE is also isosceles, for the same reason explained in the poiint 3. Call the measure of its equal angles b.
5) The sum of the angles of the two triangles is 180° + 180 ° = 360°.
This is a + a + b + b + (360 - central angle) = 360°
=> 2a + 2b = central angle
=> 2(a+b) = cantral angle
=> (a+b) = central angle / 2 = 151° / 2 =71.5°
(a+b) is the angle that you are looking for.
Then the answer is 71.5°
(4)3 is also the same thing as 4x3 which is 12n