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faltersainse [42]
3 years ago
15

Can you please help me

Mathematics
2 answers:
nika2105 [10]3 years ago
4 0
I believe it’s 0.5 :)
Ksju [112]3 years ago
3 0

Answer:

0.5

Step-by-step explanation:

The slope of the line is 1/2, so the answer is 0.5

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Consider the number 4n , where n is a natural number. Check whether there is any value of e N for which 4n ends with the digit z
yawa3891 [41]
For the number 4n to end with digit zero for any natural number n, it should be divisible by 5. This means that the prime factorisation of 4n should contain the prime number 5
7 0
3 years ago
Given cos alpha = 8/17, alpha in quadrant IV, and sin beta = -24/25, beta in quadrant III, find sin(alpha-beta)
polet [3.4K]
Given \cos\alpha=\frac{8}{17}, \alpha is in Quadrant IV,  \sin\beta=-\frac{24}{25}, and \beta is in Quadrant III, find \sin(\alpha-\beta)

We can use the angle subtraction formula of sine to answer this question.

\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta

We already know that \cos\alpha=\frac{8}{17}.

We can use the Pythagorean identity \sin^2\theta+\cos^2\theta=1 to find \sin\alpha.

\sin^2\alpha+(\frac{8}{17})^2=1 \\ \sin^2\alpha+\frac{64}{289}=1 \\ \sin^2\alpha=\frac{225}{289} \\ \\\sin\alpha=\pm\frac{15}{17}

Since \alpha is in Quadrant IV, and sine is represented as y value on the unit circle, we must assume the negative value \sin\alpha=-\frac{15}{17}.

As similar process is then done with  \sin\beta=-\frac{24}{25}.

(-\frac{24}{25})^2+\cos^2\beta=1 \\ \frac{576}{625}+\cos^2\beta=1 \\ \cos^2\beta=\frac{49}{625} \\ \\\cos\beta=\pm\frac{7}{25}

And since \beta is in Quadrant III, and cosine in represented as x value on the unit cercle, we must assume the negative value \cos\beta=-\frac{7}{25}.

Now we can fill in our angle subtraction formula!

\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta \\\\ \sin(\alpha-\beta)=(-\frac{15}{17}\times-\frac{7}{25})-(\frac{8}{17}\times-\frac{24}{25}) \\\\\sin(\alpha-\beta)=\frac{105}{425}-(-\frac{192}{425}) \\\\ \boxed{\sin(\alpha-\beta)=\frac{297}{425}}
7 0
3 years ago
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Alexeev081 [22]

Step-by-step explanation:

We know that if the equation of the circle is (x-h)^2 + (y-k)^2 = r^2, it has a center of (h,k) and a radius of r.

Matching this up with the given equation, we get the center is (-5, 4) and the radius is 9.

6 0
2 years ago
John buys a $5,000 savings bond with a fixed interest rate of 3% with 10 years to maturity. He also buys two $5,000 zero coupon
Wittaler [7]
The answer to this question would be d

6 0
3 years ago
Where does the graph of y= sin x from x = 0 to x = 217 start?
choli [55]

Answer:

B) at an x-intercept

Step-by-step explanation:

Hope this helps :))

5 0
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