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Neporo4naja [7]
3 years ago
14

the ratio of the heights of two similar triangles is 6:5 if the perimeter of the larger triangle is 49.2 feet. find the perimite

r of the smaller triangle
Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

Answer:

41 feet

Step-by-step explanation:

We apply the theorem below:

If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.

Let x be the perimeter of the smaller triangle

If the ratio of their heights is 6:5 and the perimeter of the larger triangle is 49.2 feet,

6:5=49.2:x

6/5=49.2/x

Cross multiplying

6x=49.2 X 5

6x=246

x=246/6=41

The perimeter of the smaller triangle is 41 feet

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Answer:

Step-by-step explanation:

Reflection across the y axis changes the x value.

Reflection across the x axis changes the y value.

This is counterintuitive, but it is correct.

A'

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Do you see what happened. All the values for x become - values because you are moving an equal distance in the -x direction

4 0
3 years ago
The interior angle measures of a convex pentagon are consecutive multiples of 4. find the measure of each interior angle.
lawyer [7]

Answer:

100°, 104°, 108°, 112°,116°

Step-by-step explanation:

Let the smallest angle be 4x. Since, the interior angles are consecutive, the other angles are 4(x+1),4(x+2),4(x+3) and 4(x+4).

Sum of interior angles = 540°

4x+4(x+1)+4(x+2)+4(x+3)+4(x+4)=540°

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20x=(540-40)°

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Using the value of x to calculate the angles:

4x=4*25=100°

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4(x+2)=4*27=108°

4(x+3)=4*28=112°

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3 0
3 years ago
A circle has a circumference of 28.26cm. what is the area of the circle? show work please
earnstyle [38]
-circumference is equal to pi×diameter, area is equal to pi×radius^2
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-rounded to the nearest hundredth, the answer is 63.59


8 0
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The information we are given states that the sum of the two non-zero numbers a and b equals the sum of their reciprocals.

So we can write this into an equation and solve,

(See image)

Once we solve, we get the equation (ab-1)(a+b) = 0

We are given info that a+b≠0

So for the above equation to be true, ab-1 has to equal 0

For <em>this</em> to be true, the product ab must equal 1

7 0
3 years ago
What are the rational numbers of -12,0,35,4.85,√12,√36,19/6,-10/11,1.4949949994
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