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777dan777 [17]
2 years ago
7

Karen is planning to drive 2114 miles on a road trip. If she drives 302 miles a day, how many days will it take to complete the

trip?
Mathematics
1 answer:
svetoff [14.1K]2 years ago
3 0
7 days.

2114 divided by 7 = 302.
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
barxatty [35]

Step-by-step explanation:

I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.

y = -16x² + 64x + 89

shows us that the tower is 89 ft tall (the result for x = 0, at the start).

anyway, if the original assumption is correct, then we need to solve

0 = -16x² + 64x + 89

the general solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/)2a)

in our case

a = -16

b = 64

c = 89

x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =

= (-64 ± sqrt(4096 + 5696))/-32 =

= (-64 ± sqrt(9792))/-32

x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s

x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s

the negative solution for time is but useful here (it would be the time calculated back to ground at the start).

so, x2 is our solution.

the rocket hits the ground after about 5.09 seconds.

5 0
2 years ago
• Clare mixes 2 cups of water with
ehidna [41]
It would be Han because his taste of the drink would come out but Clare’s would be watery and tasteless
8 0
3 years ago
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A 4-column table with 3 rows. The first column has no label with entries before 10 p m, after 10 p m, total. The second column i
MArishka [77]

Answer:

the answer is A=0.1 and B=0.85

Step-by-step explanation:

just took the test on edge

5 0
3 years ago
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Can someone help me immediately on this question having to do with triangle ABC?
SVETLANKA909090 [29]
<h3>Answers:</h3><h3>a. Vertices of triangle ABC are: A, B, C</h3><h3>b. Sides of triangle ABC are: AB, BC, AC</h3><h3>c. The side between angle A and angle C is: side AC</h3><h3>d. The angle between sides AB and CA is: angle A</h3><h3>e. Scalene triangle</h3>

=============================================

Explanations:

  • a. Each uppercase letter represents a point or angle of the triangle.
  • b. Connect two points of a triangle and you get a line segment. The order of the letters does not matter. So AB is the same as BA.
  • c. Like with part b, connecting two angles or points forms a segment.
  • d. Note how the letter "A" is in both AB and CA, so this is the shared angle between the two segments.
  • e. Sides AB, BC, and AC are all different lengths, so we have a scalene triangle. If you had two sides equal to each other, then you'd have an isosceles triangle. If all three sides are equal, then it would be equilateral.

There is no need for a diagram, but if you want, you can draw one out. See the attached image below for the diagram. This diagram should hopefully answer any questions you may have about the explanations above. There are many ways to draw the triangle, so your diagram might look different from mine.

7 0
3 years ago
Elsa runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?
charle [14.2K]

Heather runs 7 miles in 80 minutes.

At the same rate, how many miles would she run in 64 minutes?

Let x represent miles would she run in 64 minutes?

Question Sets Up the Proportion

7/80= x/63    |Cross Multiplying to solve for x

     x = 7*64/80

     x = 5.6mi

Hope this helps!

7 0
3 years ago
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