3 years ago

Given the triangle below, solve for X.

Mathematics

1 answer:

Dima020 [189]3 years ago

5 0

Answer:

19.8494332413? Sorry I couldn't be more helpful.

Step-by-step explanation:

Use the Pythagorean theorem.

$a^{2}+b^2=c^2\\13^2+15^2=x^2\\169+225=x^2\\394=x^2\\19.8494332413=x


$

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Jerry thinks that x < 4 is a solution to the following inequality: 2x + 10 < 4x - 20

I am Lyosha [343]

Answer:

x>15

Step-by-step explanation:

Given the inequality: 2x + 10 < 4x - 20

Collect like terms

2x-4x<-20-10

-2x<-30

x > -30/-2

x>15

Hence the solution is x>15

7 0

3 years ago

Find A and B if sin2xcos3x = A sin 5x + B sin x

patriot [66]

Recall that

$\sin(x+y)=\sin x\cos y+\cos x\sin y$
$\sin(x-y)=\sin x\cos y-\cos x\sin y$

Adding these together, you have

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Replace $x$ with $2x$ and $y$ with $3x$ . You end up with

$\dfrac12\sin(2x+3x)+\dfrac12\sin(2x-3x)=\sin2x\cos3x$
$\sin2x\cos3x=\dfrac12\sin5x+\dfrac12\sin(-x)=\dfrac12\sin5x-\dfrac12\sin x$

and so $A=\dfrac12$ and $B=-\dfrac12$ .

7 0

3 years ago

You are 100m from the base of a tall building. If your feet are exactly 180m from the top of the building, how tall is the build

KatRina [158]

Answer:

the building would be 280 feet (judging on how this is worded.)

Step-by-step explanation:

you are already 100 meters from the base ( bottom) of the building so you add 180 as you are 180 ft from the top of the building. 100 + 180 is equal to 280.

8 0

2 years ago

Approximate π + √70 to the nearest hundredth. 8.37 11.14 11.51 12.14

stellarik [79]

Answer:

The answer would be 11.51

Step-by-step explanation:

π is rougroughly 3.14

√70 = 8.37

3.14 + 8.37 = 11.51

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2 years ago