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3 years ago

Simplify

Mathematics

1 answer:

Gre4nikov [31]3 years ago

8 0

Answer is 81x^5*y^30/125

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Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.

Tems11 [23]

Answer:

The area of the triangle is $\sqrt{3}$

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is = $\frac{1}{2}(base \times height)$

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE = $\sqrt{(0-1)^2 + (0-1)^2}$

DE = $\sqrt{(-1) ^2 + (-1)^2$

DE = $\sqrt{1+1}$

DE = $\sqrt{2}$

Base = $\sqrt{2}$

Height is DF

DF = $tan(60^{\circ}) \times DE$

DF = $\sqrt{3} \times DE$

DF = $\sqrt{3} \times\sqrt{2}$

Now, the area of the triangle is

= $\frac{1}{2}({\sqrt{2})(\sqrt{3} \times \sqrt{2})$

= $\frac{1}{2}({\sqrt{2})(\sqrt{3} \sqrt{2})$

= $\frac{1}{2}(2\sqrt{3} )$

= $\sqrt{3}$

6 0

3 years ago

is a frying pan an insulator or conductor? (free 10 points ANSWER QUICKLY OR YOU won't GET 10 POINTS OK) SCIENCE ISNT A SUBJECT

mr_godi [17]

Answer:

since its made from cast iron or aluminium or stainless steel it's a conductor

Step-by-step explanation:

3 0

2 years ago

Fifteen people were asked how many days it had been since they had eaten more than 50 grams of carbohydrates in a single day. Th

sukhopar [10]

It's C
Because I know it

4 0

2 years ago

How do I fill this out? Im not sure how to?

prohojiy [21]

Answer:

z=-21

Step-by-step explanation: (9-3)/2=(6+z)/5

We move all terms to the left:

(9-3)/2-((6+z)/5)=0