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BaLLatris [955]
3 years ago
11

The length of the subway is 113 miles. if 4.1 inches represents 677 miles, what is the length of the subway on the map? Round yo

ur answer to the nearest
hundredth if needed.
Mathematics
1 answer:
ad-work [718]3 years ago
4 0

Answer:

0.68 inches (nearest hundredth)

Step-by-step explanation:

First, find the length on the map that represents 1 mile of the subway.

677 miles ----- 4.1 inches

1 mile ----- 4.1 ÷ 677= 0.0060561 inches (5 s.f.)

Multiply both sides by 113:

113 miles ----- 113(0.0060561)= 0.68 inches (nearest hundredth)

Thus, the length of the subway on the map is 0.68 inches.

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A movie theater charges $15 for standard viewing, $20 for 3D viewing, and $35 for Dinner and a
Ludmilka [50]

The quantity of each type of seats sold are as follows:

  • Standard viewing = 2000

  • 3D seats = 800

  • Movie and a dinner seat = 200

According to the question,there are four times as many 3D, x seats as Dinner and a Movie, y seats.

That is, x = 4y

Also, total seats

= (x) + (y) + (z) = 3000...….............eqn(1)

Also, If the theater brings in $53,000 when tickets to all 3000 seats are sold.

  • 20x + 35y + 15z = 53000...........eqn(2)

By substituting 4y for x in equations 1 and 2; we have;

<em>5y + z = 3000</em>..…........eqn(3) and

<em>115y + 15z = 53000</em>.........eqn(4)

By solving equations 3 and 4 simultaneously; we have;

y = 200 and z = 2000

and since x = 4y

x = 800

The quantity of each type of seats sold is as follows:

  • Standard viewing = 2000

  • 3D seats = 800

  • Movie and a dinner seat = 200

Read more:

brainly.com/question/12413726

5 0
3 years ago
In spherical geometry, all points are points on the surface of a sphere. A line is a circle on the sphere whose diameter is equa
mamaluj [8]

Answer: It is not possible that two triangles that are similar and not congruent in spherical geometry.

Step-by-step explanation:

For instance, taking a circle on the sphere whose diameter is equal to the diameter of the sphere and inside is an equilateral triangle, because the sphere is perfect, if we draw a circle (longitudinal or latitudinal lines) to form a circle encompassing an equally shaped triangle at different points of the sphere will definately yield equal size.

in other words, triangles formed in a sphere must be congruent and also similar meaning having the same shape and must definately have the same size.

Therefore, it is not possible for two triangles in a sphere that are similar but not congruent.

Two triangles in sphere that are similar must be congruent.

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the longest side of an acute isosceles triangle 8 centimeters . Round to the nearest tenth, what is the smallest possible length
Triss [41]
Let x be the <span>length of each of two congruent sides.

</span>The triangle will be аcute if:     
x² + x² > 8²
2x² > 64
x² > 32
x > √32
x > 5.657

So, the smallest possible length of one of two congruent sides have to be 5.7 cm  (<span>to the nearest tenth)</span>
7 0
3 years ago
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Answer:

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Answer:

Is the line going through negative dot or positive? Think about it.

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