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Grace [21]
3 years ago
12

Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at lea

st 24 ft and must go a horizontal distance of no more than 10 ft. The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.
The graph shows the feasible region, where x represents the horizontal distance and y represents the vertical distance.

Which ordered pairs meet all the constraints for a successful launch and make sense in context of the situation?

Select each correct answer.



(0, 33)

(4, 36)

(4.8, 30.5)

(9, 26)

(2, 22)

Mathematics
2 answers:
Reika [66]3 years ago
8 0
Refer to the diagram shown below.

The given constraints are
(a)  y ≥ 24 ft
(b ) x ≤ 10 ft
(c)  y ≥ 3x
(d)  y ≤ 33 ft
The acceptable region is shown shaded.

A (0, 33) satisfies all conditions
B (4, 36) fails condition (d)
C (4.8, 30.5) satisfies all conditions
D (9, 26) fails condition (c)
E (2, 22) fails condition (a)

Answer:
The acceptable points are A and C.

Virty [35]3 years ago
3 0
According to the questions, Conditions are
24 ≤ y ≤ 33
x ≤ 10
y ≥ 3x

So, (0, 33) & (4.8, 30.5)

Therefore, (0, 33) & (4.8, 30.5) are the correct answers.
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4 0
3 years ago
Captain has $30 flame has a $20 note $5 notes . how much more moneny does captain have
SCORPION-xisa [38]

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5 0
3 years ago
Can someone please answer this question answer it correctly and show work please
mrs_skeptik [129]

Answer:

$1,216

Step-by-step explanation:

Costs for Handsome Homes fabric

Area (sq. ft.)   Cost (dollars)

        (x)                  (y)

       250               475

       500               950

       750               1,420

       1000             1,900

If you divide any y-value by its corresponding x-value, the quotient will be 1.9

This means that each square foot costs $1.90 at Handsome Homes

Discount Diggers = 20% per sq. ft. less than Handsome homes

Discount Diggers = $1.90 - 20%

Discount Diggers = $1.90(100 - 20%)

Discount Diggers = $1.90(0.8)

Discount Diggers = $1.52

Now that it is known how much 1 square foot of fabric costs at Discount Diggers, we need to find how much 800 square feet of fabric costs.

$1.52 = 1 sq. ft.

$1.52(800) = 800 sq. ft.

$1,216

800 square feet of landscape fabric at Discount Diggers costs $1,216

Hope this helps :)

5 0
3 years ago
If m<1=40 and m<2=80, what is m<3?
prohojiy [21]

Answer:

60 degrees, 55 degrees, and 50 degrees respectively

Step-by-step explanation:

Equation: m<1+m<2+m<3=180

1. 40+80+x=180 Subtract 120(because 40+80=120)

  x=60

2. 50+75+x=180 subtract 125 (50+75=125)

    x=55

3. 50+80+x=180 subtract 130 (50+80=130)

   x=50

5 0
3 years ago
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