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WINSTONCH [101]
3 years ago
5

Nicole wants to know the height of a snow sculpture but it is too tall to measure. Nicole measured the shadow of the snow sculpt

ure's highest point to be 10 feet long. At the same time of day Nicole's shadow was 40 inches long. If Nicole is 5 feet tall, what is the height of the snow sculpture?
Mathematics
2 answers:
DaniilM [7]3 years ago
8 0
10ft=120inch
120÷40=3 times
5ft ×3 =15ft(sculpture)
yKpoI14uk [10]3 years ago
8 0

The given question is:

Nicole wants to know the height of a snow sculpture but it is too tall to measure. Nicole measured the shadow of the snow sculpture's highest point to be 10 feet long. At the same time of day Nicole's shadow was 40 inches long.

And

40inches=3.33 feet

And the height of the Nicole is 5 feet tall. Let the height of the snow sculpture be x feet.

\frac{10}{3.33} = \frac{x}{5}

On cross multiplication, we will get

50 = 3.33x

Dividing both sides by 3.33

x = 15 feet.

So the height of the sculpture is 15 feet.

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Answer

Find out the  which system of equations could be used to determine the number of hours charged at the day rate (d) and at the night rate (n) .

To proof

As given in the question

Let us assume that the number of hours charged at the day rate = d

Let us assume that the number of hours charged at the night rate = n

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Total working hour in a company including day and night be  12 hours .

than the equation become in the form

d + n = 12

also

An online data base charges $25 an hour during the day

$12.50 an hour at night.

If a research company paid $250 for 12 hours of use.

than the equation becomes

25d + 12.50n = 250

than the two equation are

d + n = 12 , 25d + 12.50n = 250

multiply first by 25 and subtracted  from 25d + 12.50n = 250

25d - 25d + 12.50n - 25n = 250 - 300

12.5 n = 50

n = \frac{50}{12.5}

n = 4hours

put this in the d + n = 12

d + 4 =12

d = 12-4

d = 8 hours

Therefore the number of hours charged at the day rate  is 8 hours  and at the night rate is  4hours .

Hence proved



4 0
4 years ago
(Q6) Decide if the function is an exponential function. If it is, state the initial value and the base. y= -4.8·4^x
topjm [15]

Answer:

D

Step-by-step explanation:

Exponential equation takes the form  y=a*b^x  where

  1. a is the initial value ( a ≠ 0), and
  2. b is the base ( b ≠ 1)

The equation given in the problem can be written as  y=-4.8*4^x, so it is <em>an exponential equation, </em>  where a = -4.8 and b = 4.

Thus we can say that the initial value = -4.8 and the base is 4

The correct answer is  D

3 0
3 years ago
Kennedy wants to use an internet site to sell his gmae system. the website will charge him a fee that will be deducted from the
EleoNora [17]
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Then multiply 0.095 by 50. 50 * 0.095 = $4.75 fee

The money Kennedy will recieve is going to be 50 dollars minus the $4.75 fee.

50 - 4.75 = $45.25 with the fee subtracted

4 0
4 years ago
Simplify.<br> 7x² - x + 9<br> + 6x² + 5x - 10<br> ___________<br><br> Will give brainliest.
Ira Lisetskai [31]

Answer:

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Step-by-step explanation:

<em><u>hope it helps</u></em>

3 0
3 years ago
Read 2 more answers
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Romashka-Z-Leto [24]

Answer:

<em>4.52secs</em>

Step-by-step explanation:

Given the height of a falling object expressed as;

d=3t+5t^2

If the object travel 84 feet, we are to find the time t it takes to travel. On substituting;

84 = 3t+5t^2

3t+5t^2 - 84 = 0

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t = -5±√25+1008/6

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t = -5+32.14/6

t = 27.14/6

<em>t = 4.52 secs</em>

<em>Hence it will take 4.52secs for the object to travel 84feet</em>

8 0
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