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3 years ago

In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.

Mathematics

1 answer:

timofeeve [1]3 years ago

8 0

Answer:

DE = 4.24

Step-by-step explanation:

The diagram is not shown; However, the question can still be solved without the diagram.

Having said that,.

Given that

DF = EF = 3

This implies that DE is the hypothenus and will be solved using Pythagoras theorem.

DE² = EF² + DF²

Substitute 3 for EF and DF

DE² = 3² + 3²

DE² = 9 + 9

DE² = 18

Take Square Root of both sides

DE = √18

DE = 4.242640687119285

DE = 4.24 (Approximated)

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3 years ago

Read 2 more answers

Pablo wants to spend $100 on clothing and he wants to purchase 6 additional clothing pieces for his wardrobe. Each pair of pants

andrew11 [14]

Answer:

A. $x+y=6...(1)$

$20x+15y=100...(2)$

B. Yes, Pablo can buy 2 pair of pants and 4 shirts.

Step-by-step explanation:

A. Let x be the number of pairs of pants and y be the number of shirts.

We have been given that Pablo wants to purchase 6 additional clothing pieces for his wardrobe. We can represent this information as:

$x+y=6...(1)$

We are also told that each pair of pants costs $20 and each shirt costs $15. So the cost of x pairs of pants will be 20x and cost of y shirts will be 15y.

As Pablo wants to spend $100 on clothing, so we can represent this information as:

$20x+15y=100...(2)$

Therefore, the system of equation representing the given situation will be:

$x+y=6...(1)$

$20x+15y=100...(2)$

B. To find if Pablo can buy 2 pair of pants and 4 shirts we will substitute x=2 and y=4 in our both equations.

$2+4=6$