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AlexFokin [52]
3 years ago
7

Johnny must learn more than 90 new plays before the big game. He has already learned 4. Write an inequality that represents how

many more plays he needs to learn to reach his goal?
Mathematics
1 answer:
alukav5142 [94]3 years ago
5 0

Answer:

x + 4 > 90

x = the greater portion of the plays he needs to learn.

4 = the plays he's already learned

90 = less than the plays he needs to learn.

I don't know why someone would need to learn more than 90 plays but whatever.

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Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
Sever21 [200]
\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta

\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}

Since \alpha lies in quadrant II, we have \cos\alpha, so

\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}

\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}

\beta lies in quadrant I, so \sin\beta>0 and

\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}

So

\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}
8 0
3 years ago
Is 6.3 > 6.04 reasonable yes or no Explain
Brums [2.3K]

Answer:

Yes

Step-by-step explanation:

By rounding to the 10ths place, we can easily see that 6.3 is greater than 6.04. 6.3 is already rounded to the 10ths place, but 6.04 rounded to the 10ths place is 6.0.

6.3 is clearly more than 6.0, therefore 6.3 is greater than 6.04.

3 0
2 years ago
SMART STUDENT PLEASE NEED GOOD MATH STUDENT​
tangare [24]

Answer:

Therefore 'x' is equal to 65.4°

Step-by-step explanation:

In Right Angle Triangle ABC

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AC = Hypotenuse = 12

CB = Adjacent Side = 5

To Find:

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Solution:

In Right Angle Triangle ABC Cosine Identity we have

\cos C = \frac{\textrm{side adjacent to angle C}}{Hypotenuse}\\

Substituting the values we get

\cos C = \dfrac{CB}{AC}=\dfrac{5}{12}

\angle C = \cos^{-1}(0.4166)=65.37=65.4\°

Therefore 'x' is equal to 65.4°

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Answer:

Thanks for the points

Step-by-step explanation:

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3 years ago
0.63 + _____ = $1.00*
Sliva [168]
The answer would be 0.37.
4 0
3 years ago
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