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attashe74 [19]
2 years ago
8

Ms. Valenzuela had her students design a snake house for the zoo. In the de3sign shown, the anaconda has 538 more square feet th

an the python. The python has twice as many square feet as the rattlesnake. How much area does each snake have?
Mathematics
1 answer:
almond37 [142]2 years ago
3 0

Answer:

If the python has the area x sq. ft, they all have the area \dfrac{5x}{2}+538\ sq. ft.

Step-by-step explanation:

Let x sq. ft be the area the python has.

1. If the anaconda has 538 more square feet than the python, then the anaconda has (x+538) sq. ft.

2. If the python has twice as many square feet as the rattlesnake, then the rattlesnake has the area  \dfrac{x}{2}\ sq. ft.

In total they have the area  

x+(x+538)+\dfrac{x}{2}=\dfrac{5x}{2}+538\ sq. ft.

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An architect builds a scale model of a building, where 1 cm = 0.5 m. If the scale model is 15 cm tall, how tall will the actual
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Answer:

The actual building will be 7.5 m tall

Step-by-step explanation:

Given the scale model value of the building, we want to find the actual height of the building

From the scale model;

1 cm = 0.5m

Thus 15 cm will be 15 * 0.5 = 7.5 m

7 0
1 year ago
he polynomial 2x3 − 5x2 + 4x − 10 is split into two groups, 2x3 + 4x and −5x2 − 10. The GCFs of each group is then factored out.
Dafna11 [192]
We take GCF by factoring out the algebraic expression.
2x³ + 4x is factored out into 2x(x² + 2) and
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Therefore the common binomial factor is x² + 2
5 0
2 years ago
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On a construction project, you estimate a total of 80 hours of labor. You will work 40 of the hours. Assistant A will work 25 ho
Angelina_Jolie [31]

Answer:

$1,630

Step-by-step explanation:

Assistant 2 hours: 80-40-25 = 15

YOU: 22 x 40 = $880

ASSISTANT 1: 15 x 25 = $375

ASSISTANT 2: 10 x 15 = $150

880+375+150 = $1,630

4 0
2 years ago
Which of the following could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse
Aliun [14]

Answer:

Option C is correct.

Ratio of longer leg to hypotenuse is;  \sqrt{3} : 2

Step-by-step explanation:

This is the special right angle triangle 30°-60°-90°  as shown below in the figure.

  • The side opposite the 30° angle is always the shortest because 30 degrees is the smallest angle.
  • The side opposite the 60° angle will be the longer leg, because 60 degrees is the mid-sized degree angle in this triangle.
  • Finally , the side opposite the 90° angle will always be the largest side(Hypotenuse) because 90 degrees is the largest angle.

In 30°−60°−90° right triangle,

  • the length of the hypotenuse is twice the length of the shorter leg,also
  • the length of the longer leg is \sqrt{3} times the length of the shorter leg.

Then:

the sides are in proportion i.e,  1:\sqrt{3} :2

Therefore, the ratio of the length of the longer leg to the length of its hypotenuse is:  \sqrt{3} : 2



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2 years ago
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If a study determines the difference in average salary for subpopulations of people with blue eyes and people with brown eyes is
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