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MrRa [10]
3 years ago
9

A building has a shadow that is 25 feet long. A person 6 feet tall cast a similar shadow. How long is the person's shadow?

Mathematics
2 answers:
Readme [11.4K]3 years ago
7 0
The answer is in the question. If it is a similar shadow wouldn't it be the same?
25 feet

You can solve these word problems using ratios and proportions.



mario62 [17]3 years ago
5 0
Imagine the side of the building is one side to a triangle and the second would be from the top of the building to the point where the shadow ends and the third is from the base of the building to the point where the shadow ends. Just use the pythagoreon theorem to find stuff. I can't solve the problem you gave because you would need the height of the building
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3(6x+2)<9 solve the inequality
vladimir1956 [14]

3(6x+2) <9

Use distributive property:

18x + 6 < 9

Subtract 6 from both sides

18x < 3

Divide both sides by 18

X < 3/18

Simplify:

X < 1/6

7 0
2 years ago
Karina ate 1/2 of the muffins. Ulysses ate 1/4 of the muffins. Zawanna ate 1/5 of the muffins. Juan ate the rest of the muffins.
erastovalidia [21]

Answer:

1/20

Step-by-step explanation:

Karina ate 1/2 of the muffins. Ulysses ate 1/4 of the muffins. Zawanna ate 1/5 of the muffins. Juan ate the rest of the muffins. What fraction of the muffins did Juan eat?

Let the total number of muffins = 1

Hence:

The fraction of muffins Juan ate =

1 - (1/2 + 1/4 + 1/5)

Lowest common denominator is 20

1 - ( 10 + 5 + 4/20)

1 - 19/20

= 1/20

The Fraction of muffins Juan ate is 1/20

4 0
2 years ago
Determine the intercepts of the line.<br> y-intercept:<br> r-intercept:<br> help pls
cricket20 [7]
The picture is blurry
7 0
2 years ago
The perimeter of a triangle is 32 feet. One side of the triangle is 3 times the second side. The third side is 12 feet longer
Ivenika [448]

We have a triangle whose perimeter is 32 feet. Some information regarding the sides of the triangle is given:

GiveN:

  • One side is 3 times the second side.
  • Third side is 12 feet longer than the second side.

As we can see that, two sides of the triangle are defined the second sides. It means First and third side can be expressed in the form of second side.

  • So let the second side be x

Then,

  • First side = 3x
  • And, third side = x + 12

We know that, perimeters is the sum of the lengths of all sides of the triangle, So it can be written as:

3x + x + x + 12 = 32

Solving it further,

5x + 12 = 32

Subtracting 12 from both sides,

5x + 12 - 12 = 32 - 12

5x = 20

Dividing 5 from both sides,

\frac{5x}{5}  =  \frac{20}{5}

x = 4

Then,

  • First side = 3x = 12 feet
  • Second side = 4 feet
  • Third side = x + 12 = 16 feet

And we are done with the answer !!

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

4 0
3 years ago
What is the equation of line perpendicular to y-3=-4(x+2) and passee through the point (-5,7
netineya [11]

Answer: y=\frac{1}{4}x+\frac{33}{4}


Step-by-step explanation:

1. By definition, two slopes are perpendicular if their slopes are negative reciprocals of each other. So, let's find the slope of the other line.

2. The equation given in the problem is written in Point-slope form:

y-y_1=m(x-x_1)

Where m is the slope.

3. Therefore, the slope of its perpendicular line must be:

m=\frac{1}{4}

4. You have the point (-5,7), so you can substitute it into the point-slope formula to find the equation of the new line:

y-7=\frac{1}{4}(x+5)

5. In slope intercept form is:

y=\frac{1}{4}x+\frac{5}{4}+7\\y=\frac{1}{4}x+\frac{33}{4}

7 0
3 years ago
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