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3 years ago

a city got 40 inches of rain in 2012 in 2013 it got 44.8 inches what was the percent increase? help fast

Mathematics

1 answer:

Alex777 [14]3 years ago

6 0

Answer:

10.2% increase

Step-by-step explanation:

44.8-40 = 4.8

4.8/40 = 10.2

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A 4-foot tall child walks directly away from a 12-foot tall lamppost at 2 mph. How quickly is the length of her shadow increasin

xz_007 [3.2K]

Answer:

The length of the shadow is increasing with the rate of 1.5 feet per sec

Step-by-step explanation:

Let AB and CD represents the height of the lamppost and child respectively ( shown below )

Also, let E be a point represents the position of child.

In triangles ABE and CDE,

$\angle ABE\cong \angle CDE$ ( right angles )

$\angle AEB\cong \angle CED$ ( common angles )

By AA similarity postulate,

$\triangle ABE\sim \triangle CDE$

∵ Corresponding sides of similar triangles are in same proportion,

$\implies \frac{AB}{CD}=\frac{BE}{DE}$

We have, AB = 12 ft, CD = 4 ft, BE = BD + DE = 6 + DE,

$\implies \frac{12}{4}=\frac{6+DE}{DE}$

$12DE = 24 + 4DE$

$8DE = 24$

$DE=3$

Now, the speed of walking = 2 mph = $\frac{2\times 5280}{3600}\approx 2.933\text{ ft per sec}$

Note: 1 mile = 5280 ft, 1 hour = 3600 sec

Thus, the time taken by child to reach at E

$= \frac{\text{Walked distance}}{\text{Walking speed}}$

$=\frac{6}{2.933}$

= 2.045 hours

Hence, the change rate in the length of shadow

$= \frac{\text{Length of shadow}}{\text{Time taken}}$

$=\frac{3}{2.045}$

= 1.5 ft per sec.

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3 years ago

Brian is drawing a scale diagram of a building. for every 10 m of the building he draws a line 5 cm long. Bryn thinks he is usin

ivann1987 [24]

Answer:

200:1, Bryn is correct.

Step-by-step explanation:

Each 10 m is represented by a 5cm length on the diagram. We first note that 100 cm = 1 meter. 5 cm is (0.5 cm)*(1 meter/100 cm) =0.05 meters.

The 0.05 meters on the diagram represents 10 meters on the actual building. The ratio is (10 meters/0.05 meters) or 200:1. This is what Bryn believes is the ratio.

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2 years ago

When is it easiest to find the percent of a number using a decimal??

Anni [7]

I believe when it's a fraction.

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3 years ago

Which system of inequalities is shown in the graph?

-Dominant- [34]

Answer: A. -3x+y>-2 and 2y>x+2

Step-by-step explanation: Graph is shown down below.

Hope this helps you out! ☺

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3 years ago

A company logo is shaped like an equilateral triangle with 2-in.-long sides. What is the height of the logo? Round to the neares

deff fn [24]

Answer:

B. 1.7 in

Step-by-step explanation:

Divide the triangle into 2 congruent right angle triangles

With hypotenuse: 2

Base: 2/2 = 1

Using pythagoras theorem

2² = 1² + h²

h² = 3

h = sqrt(3)

h = 1.732050808

6 0

3 years ago

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a city got 40 inches of rain in 2012 in 2013 it got 44.8 inches what was the percent increase? help fast ​

a city got 40 inches of rain in 2012 in 2013 it got 44.8 inches what was the percent increase? help fast