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Kryger [21]
3 years ago
9

Using the following triangle, what is the cosine of angle B?

Mathematics
1 answer:
Nikolay [14]3 years ago
7 0

Answer:

  cos(B) = a/c

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

  Cos = Adjacent/Hypotenuse

The leg adjacent to angle B is "a". The hypotenuse is "c", so the desired cosine is ...

  cos(B) = adjacent/hypotenuse = a/c

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Is 8/9 greater than 1
Zanzabum
No because 1 = 9/9 
8/9<9/9
5 0
3 years ago
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What numbers multiply to 6 and add up to 9
Nookie1986 [14]
Xy = 6
x + y = 9

     x + y = 9
x - x + y = -x + 9
           y = -x + 9

                                          xy = 6
                                x(-x + 9) = 6
                            x(-x) + x(9) = 6
                                 -x² + 9x = 6
                            -x² + 9x - 6 = 0
              -1(x²) - 1(-9x) - 1(6) = 0
                       -1(x² - 9x + 6) = 0
                                 -1           -1
                             x² - 9x + 6 = 0
                             x = -(-9) ± √((-9)² - 4(1)(6))
                                                 2(1) 
                             x = 9 ± √(81 - 24)
                                            2
                             x = 9 ± √(57)
                                        2
                             x = 4.5 ± 0.5√(57)

                       x + y = 9
   4.5 ± 0.5√(57) + y = 9
- (4.5 ± 0.5√(57))    - (4.5 ± 0.5√(57))
                             y = 4.5 ± 0.5√(57)
                       (x, y) = (4.5 ± 0.5√(57), 4.5 ± 0.5√(57))

The two numbers that multiply to 6 and add up to 9 are 4.5 ± 0.5√(57).
6 0
2 years ago
What is the primary goal and secondary goal of the Fried Liver Opening in chess? &lt;br /&gt;
polet [3.4K]

Play usually continues 7.Qf3+ Ke6 8.Nc3 (see diagram). Black will play 8...Nb4 or 8...Ne7 and follow up with c6, bolstering his pinned knight on d5. If Black plays 8...Nb4, White can force the b4 knight to abandon protection of the d5 knight with 9.a3?! Nxc2+ 10.Kd1 Nxa1 11.Nxd5, sacrificing a rook, but current analysis suggests that the alternatives 9.Qe4, 9.Bb3 and 9.O-O are stronger. White has a strong attack, but it has not been proven yet to be decisive.

Because defence is harder to play than attack in this variation when given short time limits, the Fried Liver is dangerous for Black in over-the-board play, if using a short time control. It is also especially effective against weaker players who may not be able to find the correct defences. Sometimes Black invites White to play the Fried Liver Attack in correspondence chess or in over-the-board games with longer time limits (or no time limit), as the relaxed pace affords Black a better opportunity to refute the White sacrifice.


3 0
3 years ago
The position of an object along a vertical line is given by s(t) = −t3 + 3t2 + 7t + 4, where s is measured in feet and t is meas
saw5 [17]

Answer:

The maximum velocity of the object in the time interval [0, 4] is 10 ft/s.

Step-by-step explanation:

Given : The position of an object along a vertical line is given by s(t) = -t^3+3t^2+7t +4, where s is measured in feet and t is measured in seconds.

To find : What is the maximum velocity of the object in the time interval [0, 4]?

Solution :

The velocity is rate of change of distance w.r.t time.

Distance in terms of t is given by,

s(t) = -t^3+3t^2+7t +4

Derivate w.r.t. time,

v(t)=s'(t) = -3t^2+6t+7

It is a quadratic function so its maximum is at vertex of the function.

The x point of the function is given by,

x=-\frac{b}{2a}

Where, a=-3, b=6 and c=7

t=-\frac{6}{2(-3)}

t=-\frac{6}{-6}

t=1

As 1 lie between interval [0,4]

Substitute t=1 in the function,

v(t)= -3(1)^2+6(1)+7

v(t)= -3+6+7

v(1)=10

Th maximum velocity is 10 ft/s.

Therefore, the maximum velocity of the object in the time interval [0, 4] is 10 ft/s.

8 0
2 years ago
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The number of home runs scored by teams in the Brooksfield baseball league are
juin [17]

Step-by-step explanation:

o ne demek kaarrrşiömm hııı

3 0
3 years ago
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