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2 years ago

Which equation shows a correct relation for triangle RSQ?

Mathematics

1 answer:

son4ous [18]2 years ago

4 0

Answer:

sinQ=cosR

Step-by-step explanation:

First we need to find out the measure of ∠R.

The sum of all the angles in a triangle add up to 180. Therefore:

∠Q+∠R+∠S=180

66+∠R+90=180

∠R=180-156

∠R=24°

Since ∠Q≠∠R, sinQ≠sinR. So the first option is incorrect - let's try the second one.

sinQ=cosR

sin66=cos24

0.9135454576=0.9135454576

So the second equation is the correct relation.

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Mark draws a card 50 times from a standard deck of 52 cards and gets a Heart 8 times. What is the experimental probability that

Inessa [10]

Experimental probability is defined as the ratio of the number of times an event occurs to the total number of trials the activity is performed

In this case the number that the event occurred is 8 and the number of trials is 50, so the ratio is 8/50 = 4/25.

Then the answer is option B: 4/25

4 0

3 years ago

Read 2 more answers

Cousin Edie drank all of Clark's egg nog.Edie finds a coupon for 50 cents off that can only be use at a local grocery store.Clar

Rudik [331]

Answer:

Edie has a better deal since his final price is lower

Step-by-step explanation:

Cousin Edie drank all of Clark's egg nog . Edie finds a coupon for 50 cents off that can only be use at a local grocery store.Clark normally buys his egg nog at the supermarket.

The tax rate at both stores is 2.25%.

Clark buys the egg nog at $5.95 plus tax .

Edie buys the egg nog at $6.35 plus coupon plus tax.

After Edie applies the coupon , the final price is $( 6.35 - 0.50 ) = $5.85

Since the percentage of tax applied is the same, the deal with lower final price is better.

Hence, Edie has a better deal.

5 0

3 years ago

Solve the equation for all real values of x. cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

Step-by-step explanation:

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

3 years ago

Conner and Jana are multiplying (3568)(39610). Conner's Work Jana's Work (3568)(39610) = 35 + 968 + 10 = 314618 (3568)(39610) =

Mariana [72]

Answer:

Neither of them has partitioned the values correctly. The answer to the sum 3568 × 39610 =141 328 480.

They tried the partition method but did not partitioned it correctly.

3568 = 3000+500+60+8

39610 = 30000+9000+600+10

Now multiply each value of 3568 with the values of 39610. Like:

3000 * 30000

3000 * 9000

3000 * 600

3000 * 8

and so on....

Step-by-step explanation:

5 0

3 years ago

Which of the following is a validation of concurrency between two polygons?

tatiyna

Concurrent validity is a type of evidence that can be gathered to defend the use of a test for predicting other outcomes. It is a parameter used in sociology, psychology, and other psychometric or behavioral sciences. Concurrent validity is demonstrated when a test correlates well with a measure that has previously been validated. The two measures may be for the same construct, but more often used for different, but presumably related, constructs.

3 0

2 years ago