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faltersainse [42]
3 years ago
14

What is the simplest form of the numerical expression 5+16/4-2^3 ?

Mathematics
1 answer:
Anna35 [415]3 years ago
8 0

Answer:

5+4-8

Step-by-step explanation:

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Solve 2cos(x)-4sin(x)=3 [0,360]
Korvikt [17]
2cos(x) - 4sin(x) = 3

use identity  [cos(x)]^2 +[ sin(x)]^2 = 1 => cos(x) = √[1 - (sin(x))^2]

2√[1 - (sin(x))^2] - 4 sin(x) = 3

2√[1 - (sin(x))^2] = 3 + 4 sin(x)

square both sides

4[1 - (sin(x))^2] = 9 + 24 sin(x) + 16 (sin(x))^2

expand, reagrup and add like terms

4 - 4[sin(x)]^2 = 9 + 24sin(x) + 16sin^2(x)

20[sin(x)]^2 + 24sin(x) +5 = 0

use quadratic formula and you get sin(x) = -0.93166 and sin(x) = -0.26834

Now use the inverse functions to find x:

arcsin(-0.93166) = 76.33 degrees

arcsin(-0.26834) = 17.30 degrees






3 0
3 years ago
Given the equation P2 = A3, what is the orbital period, in years, for the planet Saturn? (Saturn is located 9.5 AU from the sun.
algol [13]

Answer: 29.28 years

Explanation:

From Kepler's third law the square of orbital period of revolving celestial body is proportional to the cube of semi -major axis from the body  it is revolving about.

P² =A³

Where, P is the orbital period in years and A is the semi-major axis in AU (Astronomical units)

It is given that, For Saturn, A = 9.5 AU. We need to find P

⇒P² = (9.5 AU)³

⇒P² = 857.38

⇒P = 29.28 years

Thus, the orbital period of Jupiter is 29.28 years around the Sun.

5 0
3 years ago
Evaluate (-9)+9 <br> please
Nookie1986 [14]
The answer should be 0
7 0
2 years ago
Read 2 more answers
Mr. James accepted a new job with a starting annual salary of $32,500. He will receive an annual raise of $1,500 beginning his s
Amanda [17]

Answer:

He will earn $139,000 after 4 years

Step-by-step explanation:

32,500+34,000+35,500+37000= $139,000

7 0
3 years ago
Which ratio forms a proportion with 7/4?<br><br>A. 49 <br>B.1512 <br>C. 25 <br>D. 36
Liono4ka [1.6K]
D


The andwer is d

D is yeh answer
4 0
3 years ago
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