Answer:
22) 22
23) -350
Step-by-step explanation:
22)
1/4 = 0.25 ft
5.5 / 0.25 = 22
Answer: 22 tiles are needed
23)
12(x + 360) = 120
x + 360 = 10
x = - 350
Answer:
16 cm^2 and 49 cm^2
Step-by-step explanation:
The ratio of areas is the square of the ratio of linear dimensions, so is ...
(4/7)^2 = 16/49
The sum of these "ratio units" is 16 +49 = 65. The sum of triangle areas is 65 cm^2, so each "ratio unit" must stand for 1 cm^2 of area. That is, the triangles must have areas of ...
Answer:
Step-by-step explanation:
The given trapezoid has vertices at A(−1,4), B(0,2), C(1,2) and D(2,4).
The transformation rule for 90° counterclockwise rotation is
This implies that:
This is followed by a translation 3 units to the right.
This also has the rule: 
Therefore:
Answer:
11.4 feet
Step-by-step explanation:
Using the right triangle formed by the tent pole, the ground and the guy rope, where the guy rope (g) is the hypotenuse.
Applying Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
g² = 9² + 7² = 81 + 49 = 130 ( take the square root of both sides )
g = 
≈ 11.4 feet
Answer:
a. The Mexican Airline offers a better deal for 9 students to travel.
b. 10 students
Step-by-step explanation:
a. The Mexican Air airline offers a round trip airfare of $250 per person.
So, for 9 students the fare will be total $(250 × 9) = $2250
Now, the Fiesta airline offers a round trip airfare of $150 per person if the club agrees to pay a one-time group rate processing fee of $1000.
So, for 9 students the total fare will be = $[1000 + (150 × 9)] =$2350.
Therefore, the Mexican Airline offers a better deal for 9 students to travel. (Answer)
b. Let for x students both the airline offers the same total costs.
Then we can write
250x = 1000 + 150x {From the conditions given}
⇒ 100x = 1000
⇒ x = 10
So, if the number of students is 10, then only both the airlines will take same fare. (Answer)
