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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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Klio2033 [76]
1/2; there’s always a chance to get either heads or tail, and it doesn’t change after a toss
4 0
3 years ago
In rectangle PQRS, PR = 11x – 20and QS = x + 160.
Goshia [24]

Answer:

\large \boxed{1.\, x = 18; 2.\, 178}

Step-by-step explanation:

1. Value of x

The diagonals of a rectangle are equal, so

PR = QS

\begin{array}{rcll}11x - 20 & = & x + 160 & \\11x &= & x + 180 & \text{Added 20 to each side}\\10x & = & 180 & \text{Subtracted x from each side}\\x& = & \mathbf{18} &\text{Divided each side by 10}\\\end{array}\\\large \boxed{\mathbf{x = 18}}

2. Length of each diagonal

PR = 11x - 20 = 11×18 - 20 = 198 - 20 = 178

QS = x + 160 = 18 + 160 = 178

The length of each diagonal is 178.

5 0
3 years ago
Which of the following measurements, in centimeters (cm), could be the lengths of the sides of a triangle? Select all that apply
Ray Of Light [21]

Answer:

6cm, 6cm, 13cm

4cm, 10cm, 14cm

5cm, 11cm, 15cm

5 0
3 years ago
A. What are the coordinates of the vertices of the triangle below?
Viktor [21]

Answer:

Solution given:

<u>A.coordinate are</u>

A(-2,3)

B(0,-3)

C(4,5)

<u>B</u><u>.</u><u>Each</u><u> </u><u>length</u><u> </u><u>are</u><u> </u><u>:</u>

we have

length \sqrt{(x2-x1)²+(y2-y1)²}

now

AB:\sqrt{(-2-0)²+(3+3)²}=2\sqrt{10}units

BC:\sqrt{(0-4)²+(-3-5)²}=4\sqrt{5}units

AC:\sqrt{(-2-4)²+(3-5)²}=2\sqrt{10}units

<u>C.</u><u> the </u><u>figure</u><u>:</u>

<u>By</u><u> </u><u>using</u><u> </u><u>Pythagoras</u><u> </u><u>law</u>

base[b]=AB=perpendicular [p]=AC

hypotenuse [h]=BC

we have

h²=p²+b²

substituting value

(4\sqrt{5})²=2p²

16*5=2*(2\sqrt{10})²

80=2*4*10

80=80

<u>SO</u><u> </u><u>IT</u><u> </u><u>IS</u><u> </u><u>RIGHT</u><u> </u><u>ANGLED</u><u> </u><u>ISOSCELES</u><u> </u><u>TRIANGLE</u><u>.</u>

4 0
3 years ago
I'm unsure how to solve this, if you can please respond asap. Thanks!
Alinara [238K]

Answer:

82.5°

Step-by-step explanation:

This is the case of a isosceles triangle , as you may know in a isosceles triangle , there are two sides of equal length as well as two equal angles.

You know that the sum of angles in a triangle is 180°, therefore it comes to this equation :

15° + 2x = 180°

2x = 165°

x = 82.5°

therefore 82.5° is the correct answer.

4 0
3 years ago
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