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3 years ago

What do the Roman Numerals CLXXV111 represent

1 answer:

fomenos3 years ago

3 0

178.

If number CLXXVIII is within to text or sentence it should be read in its equivalent in arabic numbers, in this case 178.

:)

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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.

3 0

3 years ago

Solve the linear system: y=4x-7 y=4x+4

STALIN [3.7K]

Answer:

Hi! The correct answer is No solutions!

Step-by-step explanation:

~solve for the first variable in one of the equations, then substitute the result into the other equation~

7 0

3 years ago

Simplify each expression. 3 v + 10 v

sergey [27]

Answer:

13v ??

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Solve the equation 3(4 + 3r)

sertanlavr [38]

The answer is 12+3r because 4 times 3=12 then the 3r which you cannot add because they are no others variables that are r

5 0

3 years ago

The number of cows on a farm increased by 60. Because of better food, the amount of milk from each cow went up from 12.8 liters

attashe74 [19]

Answer:

Step-by-step explanation:

Number of cows increased=60

Old quality of milk consumed=12.8litres

New Increase in milk consumed=15litres

Therefore the number of cows in the farm if the quality of milk is 1340litres=y

Therefore, 1cow =15litres

y cows= 1340litres

Crossmultiply:

15litres×ycows=1340litres

Make y the subject of formula

y= 1340÷15

y=89.33cows

Therefore,the number of cows on the farm if farmer gets 1340litres of milk would be 89cows.

6 0

3 years ago