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Airida [17]
4 years ago
6

Archbridge Bus Company have a very small road on the exit of their bus garage. This means they need to be aware of when this roa

d will be used by multiple buses. The 157 bus leaves every 33 minutes. The 183 bus leaves every 6 minutes. All buses start service at 9:00. Apart from when the buses leave at 9:00, at what time will both be leaving the garage at the same time?
Mathematics
1 answer:
I am Lyosha [343]4 years ago
6 0
The bus one did did fue did. If did si. Nieve is ibdheie. Lie
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2 lines are not parallel, how many solutions are there
garri49 [273]

Answer:

Either one: the two line have a point in common, or infinite: they are the same line.

5 0
2 years ago
Identify which line from the graph the following right triangles could lie on.
qaws [65]

Answer:

Step-by-step explanation:

Slope of line A = \frac{\text{Rise}}{\text{Run}}

                         = \frac{9}{3}

                         = 3

Slope of line B = \frac{9}{6}

                         = \frac{3}{2}

Slope of line C = \frac{6}{8}

                         = \frac{3}{4}

5). Slope of the hypotenuse of the right triangle = \frac{\text{Rise}}{\text{Run}}

                                                                                = \frac{90}{120}

                                                                                = \frac{3}{4}

Since slopes of line C and the hypotenuse are same, right triangle may lie on line C.

6). Slope of the hypotenuse = \frac{30}{10}

                                              = 3

Therefore, this triangle may lie on the line A.

7). Slope of hypotenuse = \frac{18}{24}

                                        = \frac{3}{4}

Given triangle may lie on the line C.

8). Slope of hypotenuse = \frac{21}{14}

                                        = \frac{3}{2}

Given triangle may lie on the line B.

9). Slope of hypotenuse = \frac{36}{24}

                                        = \frac{3}{2}

Given triangle may lie on the line B.

10). Slope of hypotenuse = \frac{48}{16}

                                          = 3

Given triangle may lie on the line A.

7 0
3 years ago
AD is a diameter of a circle and AB is a chord. If AD=34cm, AB=30cm, the distance of AB from the centre of the circle is :
e-lub [12.9K]

Answer:

   The distance is 8 cm

Step-by-step explanation:

The chord and the diameter form one leg and the hypotenuse of a right triangle. The other leg, BD, has length ...

  BD² +AB² = AD²

  BD² = AD² -AB² = 34² -30² = 256

  BD = √256 = 16

The segment from the center of the circle to the midpoint of the chord is the midline of triangle ABD, so is half the length of BD.

  distance from AB to the center = 16/2 = 8 . . . cm

7 0
3 years ago
If you invested $600 at 3% simple interest for 2 years, how much interest do you earn? Show work and answer in complete sentence
zzz [600]

Answer:

I would rather do the second option of which uses Compound interest that will give a profit of $47.85

Step-by-step explanation:

In this problem we will be exploring the two formulas

1. simple interest

A= P(1+r*t)

2. compound interest

A= P(1+r/n)^nt

Where A= final amount

P= initial amount

r= rate

t= time.

n= number of periods Compounded

1.given data

P= $600

r= 3%= 3/100= 0.03

t= 2 years

A= 600(1+0.03*2)

A= 600(1+0.06)

A= 600(1.06)

A= $636

Interest = 636-600= $36

2. Given data

P= $600

r= 4%= 4/100= 0.04

n= 24

t= 2

A= 600(1+0.04/24)^24*2

A=600(1+0.0016)^48

A=600(1.0016)^48

A= 600*1.07975

A= 647.85

Interest = 647.85-600= $47.85

7 0
3 years ago
The pyramid below has a square base.
zavuch27 [327]

The volume of the pyramid would be 2406.16 cubic cm.

<h3>How to find the volume of a square-based right pyramid?</h3>

Supposing that:

The length of the sides of the square base of the pyramid has = b units

The height of the considered square-based pyramid = h units,

The pyramid below has a square base.

h = 24.4 cm

b = 17.2 cm

Then, its volume is given by:

V = \dfrac{1}{3} \times b^2 \times h \: \rm unit^3

V = \dfrac{1}{3} \times 17.2^2 \times 24.4 \: \rm unit^3\\\\V = 2406.16

Therefore, the volume of the pyramid would be 2406.16 cubic cm.

Learn more about pyramid;

brainly.com/question/20324485

#SPJ1

3 0
2 years ago
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