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Tpy6a [65]
3 years ago
13

Q6 Q19.) Write the expression as the​ sine, cosine, or tangent of an angle. Then find the exact value of the expression.

Mathematics
1 answer:
poizon [28]3 years ago
3 0
Using sin(A+B) = sinAcosB + cosAsinB

sin20cos40 + cos20sin40 = sin(20+40) = sin60degree

= \frac{ \sqrt{3} }{2}
You might be interested in
427,266 to the nearest ten thousand
GaryK [48]

Answer:

430,000

Step-by-step explanation:

Since the thousandths place is more than 4 you can round up the ten thousands

7 0
2 years ago
Read 2 more answers
An account earns simple interest. Find the principal.
Alexandra [31]

Answer:

$ 900

Step-by-step explanation:

Simple interest = Principle * Time * Rate / 100

Now by substituting :

27 = Principle * 2 * 1.5 / 100

Principle = 27 * 100 / 2 * 1.5

Principle = 2700 / 3

So Principle = $ 900

Hope it helps

5 0
3 years ago
The base of the 37 foot ladder is 9 feet from the wall of a building. will the top of the ladder reach a window ledge 35 feet ab
AnnZ [28]

Answer:

The answer to your question is Yes.

Step-by-step explanation:

The math in this problem is that we need to use the Pythagorean theorem to solve it. Pythagorean theorem is part of trigonometry a branch of Maths.

Data

base = 9 ft                      

length = 37 ft

height = ?

Pythagorean theorem

                                     c² = a² + b²

length = c

base = a

height = b

                                   37² = 9² + b²

-Solve for b

                                    b² = 37² - 9²

-Simplify

                                    b² = 1369 - 81

                                    b² = 1288

-Result

                                   b = 35.88

-Conclusion

The ladder will reach a height higher than 35 ft.  

8 0
3 years ago
A collection of quarters and nickels is worth $3.70. There are 22 coins in all. How many of each coin are there?
ladessa [460]
9 numbers of nickels

13 numbers of quarters
3 0
3 years ago
What is the approximate volume of a cylinder with a diameter of 12 meters and a height of 7 meters? Use 3.14 for pi.
kkurt [141]
V=\pi r^2 h
r - radius, h - height
The diameter is twice the radius.

d=12 \ m \\
r=\frac{12}{2} \ m = 6 \ m \\
h=7 \ m \\ \\
V=\pi \times 6^2 \times 7=\pi \times 36 \times 7=252 \pi \approx 252 \times 3.14=791.28 \approx 791.3

The answer is c. 791.3 m³.
3 0
3 years ago
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