Answer:
Step-by-step explanation:
Given
therefore it is a vertical ellipse
thus a=1
eccentricity of Ellipse
Focii are 
and 
thus focii are 
& 
(b) Length of major axis 
length of minor axis
Answer:
Arc AB = 110
Step-by-step explanation:
<C = 55 degrees. That's the way the triangle is marked. AB = BC.
The central angle is twice the angle made by the end points of line AB
The central angle = 2*55 = 110
The measure of arc AB equals the central angle which makes arc AB = 110
4 inches = 1/3 foot
So the volume of that section is (150ft x 5ft x 1/3 ft) = 250 cubic feet
The whole trick to this question is knowing
how many cubic feet make 1 cubic yard.
1 yard = 3 ft
(1yd x 1 yd x 1yd) = 1 yd³
(3ft x 3ft x 3ft) = (3 ft)³ = (3)³ x (ft)³ = 27 ft³ <===
For the sidewalk project,
250 ft³ = (250 / 27) = 9.26 yard³ .
I think the way concrete contractors operate, they'll
want you to order and pay for 10 cubic yards.
Answer:
1. 1 Burrito Platter = $58.50 , 1 Taco platter = $12.50
2. One pair of boots = $20 , One pair of shoes = $6
Step-by-step explanation:
1. Let the cost of one burrito platter be x and one taco platter be y.
4x + 2y = 259 --- Equation 1
4x + 4y = 284 --- Equation 2
Equations 2-1: 4x + 4y - 4x - 2y = 284 - 259
2y = 25
y = 25 ÷ 2
y = 12.50 (Taco platter)
Substitute y = 12.50 into Equation 1:
4x + 2y = 259
4x + 2(12.50) = 259
4x + 25 = 259
4x = 259 - 25
= 234
x = 234 ÷ 4
x = 58.50 (Burrito platter)
2. Let the cost of one pair of boots be x and one pair of shoes be y.
7x + 8y = 188 --- Equation 1
6x + 8y = 168 --- Equation 2
Equations 1-2: 7x + 8y - 6x - 8y = 188 - 168
x = 20 (Boots)
Substitute x = 20 into Equation 2:
6x + 8y = 168
6(20) + 8y = 168
120 + 8y = 168
8y = 168 - 120
= 48
y = 48 ÷ 8
y = 6 (Shoes)
