Answer:
10 x 4 = 40, 40 x 2 = 80
5 x 10 = 50, 50 x 2 = 100
5 x 4 = 20, 20 x 2 = 40
100 + 80 + 40 = 220 ft2
Answer:
1. a. Q° = 95°
b. a = 20.3; b = 19.3
2. p = 36; q = 14.4
Step-by-step explanation:
Question 1:
Recall: The Exterior Angle Theorem of a Triangle states that the size of the exterior angle of a triangle equals the sum of the two sizes of the two opposite angles of the triangle.
a. Based on the theorem,
Q° = 41° + 54° = 95°
b.
✔️122° = 4a + 2a (exterior angle theorem)
122 = 6a
Divide both sides by 6
122/6 = a
a = 20.3
✔️122° + 3b = 180° (angles on a straight line)
3b = 180 - 122
3b = 58
b = 58/3
b = 19.3
Question 2:
Recall: Opposite angles of a parallelogram are equal while adjacent/consecutive angles are supplementary.
✔️2p + 3p = 180° (adjacent angles)
5p = 180
p = 180/5
p = 36
✔️2p = 5q (opposite angles)
Plug in the value of p
2(36) = 5q
72 = 5q
72/5 = q
q = 14.4
The range of rental car rates that would be cheaper for Jamal than the taxi service is given by,
A ={x| 0 ≤ x < 26} [where x is in dollar]
Let, the car rental rate be $ x per day .
Jamal's trip will last for 4 day.
He expects to pay $ 24 for gas (if he rents the car)
He expects a taxi service would cost about $ 128
So, for the rental car option to be cheaper than the taxi option, the following inequality must follow,
128 > 24 + 4x
⇒ 4x < 104
⇒ x < 26
So, the range of rental car rates that would be cheaper for Jamal than the taxi service is given by,
A ={x| 0 ≤ x < 26} [where x is in dollar]
Answer:
b
Step-by-step explanation:
The amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.
<h3>What is a Cylindrical figure ?</h3>
A cylinder is a three dimensional figure with two identical circular faces at each end , and a curved surface.
It does not have an edges or vertices.
It is given in the question that
A cylinder with height 14 feet and radius 25 feet.
The volume of a cylinder.
V = π252(14)
The water than can be filled is equal to the volume of the cylinder
V = 11088 cu.ft
There the amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.
To know more about Cylindrical Figure
brainly.com/question/10369419
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