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Travka [436]
2 years ago
7

Solve for x in the diagram below?

Mathematics
1 answer:
bixtya [17]2 years ago
6 0

Answer:

x = 35

Step-by-step explanation:

the 3 angles lie on a straight line and sum to 180° , that is

40 + 2x + 30 + 40 = 180

110 + 2x = 180 ( subtract 110 from both sides )

2x = 70 ( divide both sides by 2 )

x = 35

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3

Step-by-step explanation:

Because if you take 3.4 you round that 4 down to get just 3.

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2 years ago
RAM, HARI and SHYAM INVEST A SUM OF RS. 15000 ON A BUSINESS IN THE RATIO OF 4 : 5. FIND EACH OF THEIR INVESTMENT.
sashaice [31]

Answer:

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3 0
3 years ago
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PLEASE HELP. I need DE AND EF!!!
AlekseyPX

Answer:

DE = about 41.843 (rounded to nearest thousandth)

EF= 34.276 (rounded)

Step-by-step explanation:

For DE, we know that the shorter side (the opposite side) is 24, while the angle across form it is 35°.  We can use trigonometry to figure this out.  SinФ equals the opposite side (in this case, 24) divided by the hypotenuse.  Set sinФ equal to a ratio of the sides like this:

sin(35) = \frac{24}{x}

x represents the hypotenuse length, which we don't know; 35 is the angle measure.  Next, isolate x so that the equation looks like this:

\frac{24}{sin(35)} = x

You will need a calculator for the next part.  (and make sure you're in degree mode!).  evaluate sin(35) and divide 24 by that value.  That is DE's length.  DE = about 41.843 (rounded to nearest thousandth)

For EF, we can just use Pythagorean theorem now that we know the other sides' values.

EF^2 + 24^2 = DE^2

*a calculator might also be useful for this part.

EF= 34.276 (rounded)

8 0
2 years ago
How do you show your work for 70×114​
vladimir1956 [14]
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5 0
3 years ago
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Which function's graph is shown below?
STALIN [3.7K]

Answer:

A. y = cos x

Step-by-step explanation:

The function that we see graphed has the point (0,1), this means whichever trig function f(x) it represents f(0) = 1.

Now, only the cosine function has the property that cos(0) = 1, thus choice A is the correct answer.

5 0
3 years ago
Read 2 more answers
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