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ella [17]
3 years ago
9

What is the length of DE in the right triangle below ?

Mathematics
2 answers:
NeTakaya3 years ago
5 0

Answer:  The length of DE is (B) 25 units.

Step-by-step explanation:  As shown in the given figure, ΔDEF is a right-angles triangle, where ∠DFE = 90°, DF = 15 units and EF = 20 units.

We are to find the length of DE.

ΔDEF is right-angled at ∠DFE.

So, using Pythagoras theorem, we have

DE^2=DF^2+EF^2\\\\\Rightarrow DE^2=15^2+20^2\\\\\Rightarrow DE^2=225+400\\\\\Rightarrow DE^2=625\\\\\Rightarrow DE^2=25^2\\\\\Rightarrow DE=25.

Therefore, the length of DE is 25 units.

Thus, (B) is the correct option.

olganol [36]3 years ago
3 0
B.25
sorry if my writing is not clear 

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3 years ago
What does “4(x+3)+5x-x^2 “equal
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Answer:

Thanks for asking!

Step-by-step explanation:

The answer is -x²+9+12

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2 years ago
Someone help please I really need the answer fast if that’s possible!!??
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Step-by-step explanation:

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2 years ago
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oksano4ka [1.4K]

Let the model for the change in water vapor be

y = x^3 − 8x^2 + 15x

to find the x intercepts we can factor this expression

x^3 − 8x^2 + 15x = x(x−3)(x−5)

the x intercepts are 0, 3, 5

Hope this helps!

3 0
3 years ago
PLEASE!!!!! HELP ME!!!!!!
kati45 [8]

Answer:

15 = a_1 r^4 (1)

1 = a_1 r^5 (2)

If we divide equations (2) and (1) we got:

\frac{r^5}{r^4}= \frac{1}{15}

And then r= \frac{1}{15}

And then we can find the value a_1 and we got from equation (1)

a_1 = \frac{15}{r^4} = \frac{15}{(\frac{1}{15})^4} =759375

And then the general term for the sequence would be given by:

a_n = 759375 (\frac{1}{15})^n-1 , n=1,2,3,4,...

And the best option would be:

C) a1=759,375; an=an−1⋅(1/15)

Step-by-step explanation:

the general formula for a geometric sequence is given by:

a_n = a_1 r^{n-1}

For this case we know that a_5 = 15, a_6 = 1

Then we have the following conditions:

15 = a_1 r^4 (1)

1 = a_1 r^5 (2)

If we divide equations (2) and (1) we got:

\frac{r^5}{r^4}= \frac{1}{15}

And then r= \frac{1}{15}

And then we can find the value a_1 and we got from equation (1)

a_1 = \frac{15}{r^4} = \frac{15}{(\frac{1}{15})^4} =759375

And then the general term for the sequence would be given by:

a_n = 759375 (\frac{1}{15})^n-1 , n=1,2,3,4,...

And the best option would be:

C) a1=759,375; an=an−1⋅(1/15)

4 0
3 years ago
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