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Natalka [10]
4 years ago
9

Mentone,indiana,claims to have the world's largest egg sculpture. A 6-foot- tall person standing next to the egg sculpture casts

a shadow that is 2 feet long. If the egg casts a shadow that is 4 feet long, how tall is the sculpture?
Mathematics
1 answer:
MatroZZZ [7]4 years ago
5 0
This item can be answered by the concept of ratio and proportion. The ratio of the sculpture's height and shadow should be proportional or equal to that of the person. Mathematically,
                         6 ft / 2 ft = h / 4 ft
The value of h in the equation is 12 ft. 
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the area of a window is 192 in squared. The width if the window is four inches more than half the length of the window. What are
Leya [2.2K]

Answer:

Length = 16 inches and width = 12inches

Step-by-step explanation:

A = 192 in² . The width is 4 + 1/2x.  therefore let x = length

Area = LW

192 =  x(4 + 1/2 x)

192 = 4x + 1/2x²      

384 = 8x  + x²                            Multiply each term by 2 to make a  

384 + 16 =  x² + 8x + 16              Complete the square

400 = (x  + 4)²        

\sqrt{400} = \sqrt{(x + 4)^2}

± 20 = x + 4

20 = x + 4  or  -20 = x + 4

20 - 4 = x     or  -20 - 4 = x

    16 = x   or   -24 = x   reject the negative amount

   Length = 16

   width = 4 + 1/2(16);   4 + 8 = 12

8 0
3 years ago
How can sample data be used to from an estimate about the population?
dsp73

Answer: A proportion can be solved to relate the sample to the population and solved to form an estimate.

Step-by-step explanation:

4 0
3 years ago
Starting at zero, which direction do you move first?
IrinaK [193]

Answer:

Usually to the right (positive). But if it is a negative number then go left first.

Step-by-step explanation:

6 0
2 years ago
Scientists tag and release a group of salmon after they hatch. Later, they catch a sample of salmon that return to the river and
Liula [17]

The best prediction of the total number of tagged salmon in a sample of 2000 is 100.

<h3><u>Predictions</u></h3>

To determine what is the best prediction of the total number of tagged salmon in a sample of 2000, the following calculation must be performed:

  • 800 = 40
  • 2000 = X
  • 2000 x 40 / 800 = X
  • 80000 / 800 = X
  • 100 = X

Therefore, the best prediction of the total number of tagged salmon in a sample of 2000 is 100.

Learn more about predictions in brainly.com/question/18152997

7 0
3 years ago
Determine the value of f(2) that will lead to an average rate of change of 15 over the interval [2,6]. (HELP PLEASE)
Fofino [41]
  • Average Rate of Change/Slope Formula: \frac{y_2-y_1}{x_2-x_1}

So using points (6,71) and (2,y), and the slope of 15, plug them into the slope formula as such:

\frac{71-y}{6-2}=15

From here we can solve for y. Firstly, solve the subtraction:

\frac{71-y}{4}=15

Next, multiply both sides by 4:

71-y=60

Next, subtact both sides by 71:

-y=-11

Lastly, multiply both sides by -1, and <u>your final answer will be y=11 , or A.</u>

6 0
4 years ago
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