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rusak2 [61]
2 years ago
10

I need help with trigonometry

Mathematics
1 answer:
MrMuchimi2 years ago
6 0

Answer:

In alphabetic order:

x can be found with pythagorean theorem, since triangle ADC is right in D.

x= \sqrt {7^2-2.2^2} \approx 6.6

y and z are 7 times respectively the sine and cosine of angle ACB.

y= 7sin\ 52\° \approx 5.5\\z=7 cos\ 52\° \approx 4.3

Finally, \theta  can be calculated by determining the arc sine (or inverse sine) of the ratio CD over AC

\theta = sin^{-1} (\frac{2.2}7) \approx 18.3\°

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If you jump 8 times in 20 sec how many jumps can you make in 45 seconds at this rate
11Alexandr11 [23.1K]
20 jumps because 45/20 is 2.5 and 8 x 2.5 is 20.
4 0
2 years ago
7n+2 = 4n+17 solve the equation
lions [1.4K]

Answer:

n = -5

Step-by-step explanation:

Solve for n:

n + 2 = 4 n + 17

Hint: | Move terms with n to the left hand side.

Subtract 4 n from both sides:

(n - 4 n) + 2 = (4 n - 4 n) + 17

Hint: | Combine like terms in n - 4 n.

n - 4 n = -3 n:

-3 n + 2 = (4 n - 4 n) + 17

Hint: | Look for the difference of two identical terms.

4 n - 4 n = 0:

2 - 3 n = 17

Hint: | Isolate terms with n to the left hand side.

Subtract 2 from both sides:

(2 - 2) - 3 n = 17 - 2

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

-3 n = 17 - 2

Hint: | Evaluate 17 - 2.

17 - 2 = 15:

-3 n = 15

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -3 n = 15 by -3:

(-3 n)/(-3) = 15/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

n = 15/(-3)

Hint: | Reduce 15/(-3) to lowest terms. Start by finding the GCD of 15 and -3.

The gcd of 15 and -3 is 3, so 15/(-3) = (3×5)/(3 (-1)) = 3/3×5/(-1) = 5/(-1):

n = 5/(-1)

Hint: | Simplify the sign of 5/(-1).

Multiply numerator and denominator of 5/(-1) by -1:

Answer: n = -5

5 0
3 years ago
Write an expression that is equivalent to the following: <br><br> x+x+x+x-20
SSSSS [86.1K]

Answer:

4x-20 is the same as x+x+x+x-20

8 0
3 years ago
Read 2 more answers
Can u guys help me with theses questions plz will give brailist if correct
netineya [11]
For 4x^2y over 2x^8y^4 try 2 over x^6y^3
8 0
3 years ago
Use the euclidean algorithm to find
kvasek [131]
A)
18=1\cdot12+6
12=2\cdot6+0
\implies\mathrm{gcd}(12,18)=6

b)
201=1\cdot111+90
111=1\cdot90+21
90=4\cdot21+6
21=3\cdot6+3
6=2\cdot3+0
\implies\mathrm{gcd}(111,201)=3

c)
1331=1\cdot1001+330
1001=3\cdot330+11
330=30\cdot11+0
\implies\mathrm{gcd}(1001,1331)=11

d)
54321=4\cdot12345+4941
12345=2\cdot4941+2463
4941=2\cdot2463+15
2463=164\cdot15+3
15=5\cdot3+0
\implies\mathrm{gcd}(12345,54321)=3

e)
5040=5\cdot1000+40
1000=25\cdot40+0
\implies\mathrm{gcd}(1000,5040)=40

f)
9888=1\cdot6060+3828
6060=1\cdot3828+2232
3828=1\cdot2232+1596
2232=1\cdot1596+636
1596=2\cdot636+324
636=1\cdot324+312
324=1\cdot312+12
312=26\cdot12+0
\implies\mathrm{gcd}(9888,6060)=12
8 0
3 years ago
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