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lyudmila [28]
3 years ago
14

Find all solutions for the following equations. Write your answers in radians using exact values. (Enter your answers as a comma

-separated list. Let k be any integer.) sin 2x cos x cos 2x sin x
Mathematics
1 answer:
sasho [114]3 years ago
5 0

Answer:

Step-by-step explanation:

Given that:

sin2xcos x + cos2xsin x = -1

Recall that;

SInAcosB + cosASinB = SIn (A+B)

SIn (2x +x) = -1

Sin (3x) = -1

x = \bigg [\dfrac{Sin ^{-1} (-1)}{3}  \bigg ]

x = \dfrac{\pi}{2} + \dfrac{2 \pi \ k}{3}

x = \dfrac{\pi}{2}, \dfrac{7 \pi}{6}, \dfrac{11 \pi}{6}

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The chef at a restaurant bought 37 pounds of salad for $46.25. How much did she pay for 1 pound of salad? Show all work and expl
Art [367]

Answer:

$1,25

Step-by-step explanation:

$46.25 : 37 = $1,25

I divided the amount of money into the number of 37 pounds

3 0
3 years ago
Read 2 more answers
Consider ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD.
LenKa [72]

Answer:- B. No, because the corresponding congruent angles listed are not the included angles.


Explanation:-

Given:- ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD.

Now, look at the attachment

We can see that ∠X and ∠C are not included angles by the corresponding equal sides.

⇒ We cannot use SAS postulate to show ΔWXY ≅ ΔBCD .

⇒ B is the right option.

SAS postulate tells the if two sides of a triangle and their included angle is equal to the two sides of a triangle and their included angle of another triangle then the two triangles are congruent.

5 0
3 years ago
Read 2 more answers
Write in the missing numbers.<br> ordering intergers
Illusion [34]

Based on the definition of integers, ordering them would depend on if they are negative, positive, or have a zero value.

<h3>How are integers ordered?</h3><h3 />

Integers are whole numbers such as 1, 15, and 55. There are no decimals and they do not come in the form of fractions.

Integers can be negative or positive. Positive integers are always higher than negative integers. For instance, 1 is more than -500,000.

If both integers are negative, the larger looking number is considered smaller. For instance, -5 is more than -55. For positive integers, this is the reverse with larger looking numbers being larger.

An example of the correct order of intergers based on this dataset (1, 52, -800, 86, 5, and -4) is:

= -800, -4, 1, 5, 52, 86

Find out more on ordering integers at brainly.com/question/12399107.

#SPJ1

3 0
2 years ago
Find the indicated probability. round to three decimal places. a test consists of 10
Charra [1.4K]

To answer this problem, we use the binomial distribution formula for probability:

P (x) = [n! / (n-x)! x!] p^x q^(n-x)

Where,

n = the total number of test questions = 10

<span>x = the total number of test questions to pass =   >6</span>

p = probability of success = 0.5

q = probability of failure = 0.5

Given the formula, let us calculate for the probabilities that the student will get at least 6 correct questions by guessing.

P (6) = [10! / (4)! 6!] (0.5)^6 0.5^(4) = 0.205078

P (7) = [10! / (3)! 7!] (0.5)^7 0.5^(3) = 0.117188

P (8) = [10! / (2)! 8!] (0.5)^8 0.5^(2) = 0.043945

P (9) = [10! / (1)! 9!] (0.5)^9 0.5^(1) = 0.009766

P (10) = [10! / (0)! 10!] (0.5)^10 0.5^(0) = 0.000977

Total Probability = 0.376953 = 0.38 = 38%

<span>There is a 38% chance the student will pass.</span>

7 0
3 years ago
I need this for a test; help asap
weqwewe [10]

Answer:

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Step-by-step explanation:

5 0
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