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vodka [1.7K]
3 years ago
8

72 The length of a side of a triangle is 36. A line parallel to that side divides the triangle into two parts of equal area. Fin

d the length of the segment determined by the points of intersection between the line and the other two sides of the triangle.
Mathematics
1 answer:
katrin [286]3 years ago
6 0

Answer:

  18√2

Step-by-step explanation:

The smaller triangle sharing a vertex with the larger one is similar and half the area. That means its linear dimensions are √(1/2) = (√2)/2 times those of the larger triangle.

The line segment of interest has length ...

  36 × (√2)/2 = 18√2

_____

The ratio of area of similar figures is the square of the ratio of their linear dimensions. Thus the ratio of linear dimensions is the square root of the ratio of area.

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Add the two expressions.<br><br> 3z−4 and 2z + 5<br><br> Enter your answer in the box.
frosja888 [35]
Your answer is 5z+1 (wink) ;D
3 0
3 years ago
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A basketball was originally priced at $25, but Tucker waited to buy it until the basketball was on sale for 20% off. If he paid
kotegsom [21]

Answer:

The answer to your question is $21.0

Step-by-step explanation:

Data

Original price = $25

Discount = 20%

Taxes = 5%

Process

1.- Calculate the price with the discount

                     $25 ------------------- 100%

                        x   -------------------   20%

                        x = (20 x 25) / 100

                        x = 500 / 100

                        x = $5

Price after the discount = $25 - $5

                                       = $20

2.- Calculate the price after taxes

                     $20 ---------------------- 100%

                         x  -----------------------   5%

                       x = (5 x 20) / 100

                       x = 100 / 100

                       x = $1

Final price = $20 + $1

                = $21  

3 0
3 years ago
Patti has two glue sticks that are partially used. One has 1/5 left, and one has 3/10 left. Which glue stick has more glue?
marishachu [46]

Answer:

the one with 3/10 left has more

Step-by-step explanation:

because 1/5 is equal to 2/10 and 3/10>2/10

8 0
3 years ago
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Determine the lengths of the sides of the rectangle using the given area. Give answers both exactly and
Degger [83]

Answer:

Part a) Exactly values

The width of the rectangle is \frac{\sqrt{70}}{2}\ cm

The length of the rectangle is 2\sqrt{70}\ cm

Part b) Approximately values

The width of the rectangle is 4.2\ cm

The length of the rectangle is 16.7\ cm

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of rectangle is equal to

A=LW

we have

L=4x\ cm\\W=x\ cm

substitute the values in the formula

A=4x(x)

A=4x^2

A=70\ cm^2

so

70=4x^2

Solve for x

Divide by 4 both sides

\frac{70}{4}=x^2

square root both sides

x=(+/-)\frac{\sqrt{70}}{2}

The solution is the positive value

x=\frac{\sqrt{70}}{2}

therefore

<em>Exactly values</em>

L=4\sqrt{70}}{2}=2\sqrt{70}\ cm\\\\W=\frac{\sqrt{70}}{2}\ cm

<em>Approximately values</em>

L=4\sqrt{70}}{2}=16.7\ cm\\\\W=\frac{\sqrt{70}}{2}=4.2\ cm

6 0
3 years ago
Angie got some money for his birthday. He spent 1/5 of it on dog treats for his puppy. Then he divided the remainder equally amo
prohojiy [21]

Answer:

225

Step-by-step explanation:

60 x 3 = 180  ($60 for each charity and there's 3 charities)

180 / (4/5) = 225  (if $180 is four fifths of his total just divide 180 by 4/5 to get the answer)

3 0
3 years ago
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