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3 years ago

Thank you for help ✨

Mathematics

2 answers:

ludmilkaskok [199]3 years ago

8 0

Answer:

i think your answer is 7

mr_godi [17]3 years ago

4 0

Answer:

7 m

Step-by-step explanation:

Corresponding sides of similar triangles are in same ratio.

$\dfrac{QR}{SR}=\dfrac{QP}{ST}\\\\\dfrac{y}{8}=\dfrac{3}{6}\\\\y=\dfrac{3}{6}*8\\\\y=4\\\\\\$

$\dfrac{x}{1.5}=\dfrac{6}{3}\\\\x =\dfrac{6}{3}*1.5\\\\x=3$

x + y = 3 + 4 = 7

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What is Euclid's fifth postulate

Nataly [62]

Answer:

Euclid fifth postulate gives information regarding parallelism of lines.Euclid's fifth postulate states If a straight which falls on two straight lines makes interior angle on the same side of it.And if sum those two interior angles is less than 180° ,then two straight will not be parallel which means they if they produced indefinitely they will surely meet on the side where some of interior angles is less than 180°.

This postulate is more complex as compared to other four postulates.It says that two parallel lines never meet.This postulate is also known as parallel postulate.

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4 years ago

Can someone please answer. There is only one question. There is a picture. Thank you!

mrs_skeptik [129]

There is a total of 10 marbles, of which 5 marbles are red.
$P(red)=\frac{5}{10}=\frac{1}{2}$
Therefore the second choice is the correct answer.

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4 years ago

Read 2 more answers

If a is 3 and b is 6 therefore c is<br>

Nesterboy [21]

C = 9 because its counting by 3’s

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3 years ago

When you convert 3/8 to a decimal you get_______.

suter [353]

Answer:

0.375

Step-by-step explanation:

Plug it into a calculator

3 0

4 years ago

Consider the function on the interval (0, 2π). f(x) = sin x + cos x (a) Find the open intervals on which the function is increas

Annette [7]

Answer:Increasing in x∈(0,π/4)∪(5π/4,2π) decreasing in(π/4,5π/4)

Step-by-step explanation:

given f(x) = sin(x) + cos(x)

f(x) can be rewritten as $\sqrt{2} [\frac{sin(x)}{\sqrt{2} }+\frac{cos(x)}{\sqrt{2} } ]..................(a)\\\\\ \frac{1}{\sqrt{2} } = cos(45) = sin(45)\\\\$

Using these result in equation a we get

f(x) = $\sqrt{2} [ cos(45)sin(x)+sin(45)cos(x)]\\\\= \sqrt{2} [sin(45+x)]..........(b)$

Now we know that for derivative with respect to dependent variable is positive for an increasing function

Differentiating b on both sides with respect to x we get

f '(x) = $f '(x)=\sqrt{2} \frac{dsin(45+x)}{dx}\\ \\f'(x)=\sqrt{2} cos(45+x)\\\\f'(x)>0=>\sqrt{2} cos(45+x)>0$

where x∈(0,2π)

we know that cox(x) > 0 for x∈[0,π/2]∪[3π/2,2π]

Thus for cos(π/4+x)>0 we should have

1) π/4 + x < π/2 => x<π/4 => x∈[0,π/4]

2) π/4 + x > 3π/2 => x > 5π/4 => x∈[5π/4,2π]

from conditions 1 and 2 we have x∈(0,π/4)∪(5π/4,2π)

Thus the function is decreasing in x∈(π/4,5π/4)

5 0

3 years ago