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3 years ago

I need the answer for both of the questions

Mathematics

2 answers:

KIM [24]3 years ago

8 0

Answer:

B. and A.

Step-by-step explanation:

I had the same question and for me it was A. and B.

soldier1979 [14.2K]3 years ago

3 0

I think it’s b and a

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Answer:

7/16

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1. you have to have the same denominator

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1. Find the length of the missing side:<br>35cm<br>60.5°

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Given sin theta= 6/11 and sec theta < 0, find cos theta and tan theta.

bekas [8.4K]

Answer: option a.

Step-by-step explanation:

By definition, we know that:

$cos^2(\theta)=1-sen^2(\theta)\\\\tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

Substitute $sin(\theta)=\frac{6}{11}$ into the first equation, solve for the cosine and simplify. Then, you obtain:

$cos(\theta)=\±\sqrt{1-(\frac{6}{11})^2}\\\\cos(\theta)=\±\sqrt{\frac{85}{121}}\\\\ cos(\theta)=\±\frac{\sqrt{85}}{11}$

As $sec\theta$ then $cos\theta$ :

$cos(\theta)=-\frac{\sqrt{85}}{11}$

Now we can find $tan\theta$ :

$tan\theta=\frac{\frac{6}{11}}{-\frac{\sqrt{85}}{11}}\\\\tan\theta=-\frac{6\sqrt{85}}{85}$

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3 years ago

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A simple dart target has two concentric circles. The larger circle has a radius of 4. The smaller circle has a radius of 2. The

Natali5045456 [20]

Answer:

3 times more.

Step-by-step explanation:

The odds of landing a dart in any of the circles correspond to the surface area of the circle.

Calculate the surface area of both circles:

The formula for the area of a circle is $\pi r^{2}$ .

inner circle: $A=\pi 2^{2}=12.566$
for the outer circle, use the formula then subtract the value of the inner circle, to find the remaining area: $A=(\pi 4^{2} )-12.566=37.699$

Calculating greater chance:

Divide the larger area by the smaller area:

$37.699/12.566 = 3$

That means that the area of the outer circle is 3 times larger, making it 3 times more likely to hit the outer circle. Therefore the points for hitting the inner circle should be 3 times more.

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3 years ago