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Arisa [49]
3 years ago
14

Verify the identity. sin(3pi - x) = sinx

Mathematics
1 answer:
fgiga [73]3 years ago
7 0

we use the angle- sum and difference trigonometric identity to simplify the expression sin(3pi - x). This is equal to sin 3 pi cos x - cos 3 pi sin x. In this case, sin 3 pi  is equal to zero while cos 3 pi is equal to -1. Hence the answer simplified is equal to sin x .
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If x = 9 and y = -3, evaluate the following expression: = 6x - 8y ​
masha68 [24]

Answer: 78

Step-by-step explanation:

Step 1:

Substitute the variables in:

6(9) - 8(-3)

Step 2:

Multiply to get rid of the parentheses:

54 - -24 = 54 + 24 (the two negatives cancel out)

Step 3:

Add, and then you're done:

54 + 24 = 78

hope this helps :)

8 0
2 years ago
Marsha jogged 7.8 miles. erica jogged 0.5 times as far. how far did erica jog?
wolverine [178]
Solve:-

7.8 × 0.5 = How far Erica jogged
7.8 × 0.5 = 3.9
3.9 Miles

So, if Marsha jogged 7.8 miles, and Erica jogged 0.5 times as far, as Marsha, Erica jogged 3.9 Miles.

Hope I helped ya!! xD
6 0
2 years ago
The number |x| is the distance between 0 and x. It can never equal a ____ number.​
ololo11 [35]

Answer:

Negative number

Step-by-step explanation:

For example, |-5| = 55. This is because -5 is considered to be 5 units away from 0.

If this helps mark me brainliest please.

5 0
3 years ago
Read 2 more answers
Student Council is selling candy grams. They are using the formula
Luden [163]

Answer:

Our equation is:

y = f(x) = 2.5*x

The domain is the set of the values of x.

The range is the set of the values of y.

They must sell between 55 and 60 candy grams to meet their goal.

If we assume these as restrictions for the domain, then the minimum value of x is 55, and the maximum value of x is 60.

Then the domain is:

D: 55 ≤ x ≤ 60.

Now that we know the domain, we can find the range.

As our equation is linear with a positive coefficient, the minimum in the range will coincide with the minimum in the domain, then we have:

y = 2.5*55 = 137.5

And the maximum will coincide with the maximum in the domain:

y = 2.5*60 = 150.

Then the range is:

y = 137.5 ≤ y ≤ 150

7 0
3 years ago
There are 10 cranberry and 15 strawberry juices. You randomly pick two juices. What's the probability you'll get two strawberry
lorasvet [3.4K]

Answer:

  • 7/20

Explanation:

The theoretical probability, P (A), of an event, A, is:

  • P(A) = number of outcomes of event A / total number of possible outcomes

For 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:

  • Combination of 15 strawberry juices chosen in two:

C^{15}_{2}=\frac{15!}{(15-2)!(2!)}=\frac{15!}{13!2!}=\frac{15\times 14}{2}=105

The total number of possible outcomes is:

  • Combination of 25 juices chosen in two:

C^{25}_{2}=\frac{25!}{(25-2)!(2!)}=\frac{25!}{23!2!}=\frac{25\times 24}{2}=300

Thus, the probability of randomly picking two strawberry juices is:

  • P (two strawberry juices) = 105/300 = 7/20

Note that you can obtain it as the product of the probabilities that the first juice is a strawberry juice and the second juice is also strawberry juice:

15/25\times 14/24=(15\times 25)/(14\times 24)=210/600=7/20

5 0
3 years ago
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