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bulgar [2K]
3 years ago
7

AWNSER QUICK!! What is the unit rate for 220 students on 5 buses

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
6 0
44 on each......................
pickupchik [31]3 years ago
4 0
11 students on each bus
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NGC is a hot air balloon in the sky from her spot on the ground. The angle of elevation from Angie to the balloon is 40°. If she
Goshia [24]

Answer:

The distance from hot air balloon to the ground  AC=50.1457 ft.

Step-by-step explanation:

Labelled diagram of given scenario is shown below.

Given that,

An angle of elevation of Hot air balloon by Angie is 40°.

When she  stepped back 200 ft then angle of elevation was 10°.

Height of Angie is  5.5 ft.

To find: How far off the ground is a hot air balloon.

So, from figure

Height of Angie (BC) = 5.5ft

  In triangle ΔABD,

         ⇒                    tan {40\si {\degree}} = \frac{AB}{BD}

         ⇒                      AB = tan (40) \times BD          ....................(1)

Now, In triangle ΔABE

         ⇒                  tan (10)= \frac{AB}{200+BD}

         ⇒                 AB = tan(10)\times (200+BD)

Here, substituting the value AB from Equation (1) we get,

                        tan(10)\times (200+BD)= tan(40)\times BD

                      tan(10)\times 200+tan(10)\times BD= tan(40)\times BD

        ⇒         BD\times (tan(40)-tan(10))=tan(10)\times 20        

        ⇒                   BD\times 0.6628 = 35.2654

        ⇒                       BD = \frac{35.2654}{0.6628} =53.2067 ft        

Now, finding the value of AB from equation (1)

                                 AB= tan(40)\times 53.2067=0.8391\times 53.2067

                                 AB=44.6457 ft              

Therefore Length of AC= AB+BC = (44.6457 + 5.5) ft

                                  AC=50.1457 ft.

Hence,

The distance from hot air balloon to the ground  AC=50.1457 ft.                

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3 years ago
How many times larger is 4 × 1011 than 2 × 106?
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What numbers have the absolute value of 1/2
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1/2 and -1/2

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4 years ago
2. Elena finds that the area of a house on a scale drawing is 25 square inches. The
likoan [24]

Answer:

The scale of the drawing is \frac{1}{9}\ \frac{in}{ft}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of an house on a scale drawing in square inches

y ---> the actual area of the house in square feet

z^2=\frac{x}{y}

we have

x=25\ in^2

y=2,025\ ft^2

substitute

z^2=\frac{25}{2,025}

simplify

z^2=\frac{1}{81}

square root both sides

z=\frac{1}{9}\ \frac{in}{ft}

therefore

The scale of the drawing is \frac{1}{9}\ \frac{in}{ft}

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Answer:

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9+2(3^2)

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