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emmasim [6.3K]
2 years ago
15

Which undefined term is used to define an angle?lineplanepointray

Mathematics
1 answer:
Dovator [93]2 years ago
3 0
The answer is point.
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Write the expression as the sine, cosine, or tangent of an angle. sin 5x cos x - cos 5x sin x
mrs_skeptik [129]

Answer:

sin 5x cos x - cos 5x sin x = sin(4x)

Step-by-step explanation:

Given that the trigonometric expression,

sin 5x cos x - cos 5x sin x

Here we use the "sum and difference formulas"

Sum and Difference Formulas

sin(A+B)=sin A cos B + cos A sin B

sin(A-B)=sin A cos B - cos A sin B

cos(A+B)=cos A cos B - sin A sin B

cos(A-B)=cos A cos B + sin A sin B

So,

sin 5x cos x - cos 5x sin x = sin (5x - x)

sin 5x cos x - cos 5x sin x =  sin(4x)

That's the final answer.

6 0
3 years ago
What is the relationship between the 3's in the number 9,338?
Serhud [2]
The 3 in the hundreds place (value of 300) has a value that is 10x the 3 in the tens (value of 30).
4 0
3 years ago
Read 2 more answers
to estimate the height of the jin mao tower in shanghai , a tourist sights the top of the tower form a mirror that is 86.7 meter
Ray Of Light [21]

Answer:

The height of the tower = 420.48 meters

Step-by-step explanation:

For better understanding of the solution, see the figure attached below :

Let the height of the tower be x meters

Now, using the laws of reflection : angle of reflection = angle of incidence

Also, both the tower and the tourist are standing parallel to each other

⇒ ∠A = ∠i ( Alternate interior angles are equal)

Similarly, ∠D = ∠r ( Alternate interior angles)

But, ∠i = ∠r

⇒ ∠A = ∠D

Also, the tourist and the tower is perpendicular to the ground surface.

⇒ m∠B = m∠E = 90°

Now, in ΔABC and ΔDEC

∠A = ∠D (Proved above)

m∠B = m∠E = 90°

So, by AA postulate of similarity of triangles, ΔABC ~ ΔDEC

As the sides of similar triangles are proportional to each other

\frac{AB}{DE}=\frac{BC}{EC}\\\\\implies\frac{1.92}{x}=\frac{0.4}{87.6}\\\\\implies x=\frac{87.6\times 1.92}{0.4}\\\\\bf\implies x = 420.48\textbf{ meters}

Hence, The height of the tower = 420.48 meters

5 0
3 years ago
Find the area of the figure
Kitty [74]

Answer:

38units²

Step-by-step explanation:

10*3=30  +   4*2=8

got 4 cuz 6+x=10 then x=4

got 2 cuz 5-3=x so x=2

8 0
3 years ago
Read 2 more answers
Rewrite this non-statistical question as a statistical question. How many minutes do I exercise each day?
stira [4]

Answer:

The statistical question should be

"how many minutes do I exercise on each day of the week" and "how many minutes do I exercise each day of the week whilst there is background music"

Step-by-step explanation:

Here we have the non statistical question, how many minutes do I exercise each day

We note that a statistical question is one in which there are are different variety answers, where the distribution and the inclination of the the answers is sought

Therefore, statistically, we should ask, "how many minutes do I exercise on each day of the week" or "how many minutes do I exercise each day of the week whilst there is background music".

8 0
3 years ago
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