Answer:
two: +1 and -1
Step-by-step explanation:
If a number is equal to its own reciprocal, it will satisfy the equation ...
x = 1/x
Multiplying by x and subtracting 1 gives ...
x^2 -1 = 0
This factors as ...
(x -1)(x +1) = 0
By the zero product rule, the solutions are those values of x that make one or more factors zero:
x = 1
x = -1
There are two self-reciprocals.
If you're using the app, try seeing this answer through your browser: brainly.com/question/2822772_______________
Evaluate the indefinite integral:
Make the following substitution:
and then, the integral (i) becomes
Integrate it by applying the power rule:
Now, substitute back for u = sin x, so the result is given in terms of x:
I hope this helps. =)
Tags: <em>indefinite integral substitution trigonometric trig function sine cosine cosecant sin cos csc differential integral calculus</em>
Answer:
Claim 2
Step-by-step explanation:
The Inscribed Angle Theorem* tells you ...
... ∠RPQ = 1/2·∠ROQ
The multiplication property of equality tells you that multiplying both sides of this equation by 2 does not change the equality relationship.
... 2·∠RPQ = ∠ROQ
The symmetric property of equality says you can rearrange this to ...
... ∠ROQ = 2·∠RPQ . . . . the measure of ∠ROQ is twice the measure of ∠RPQ
_____
* You can prove the Inscribed Angle Theorem by drawing diameter POX and considering the relationship of angles XOQ and OPQ. The same consideration should be applied to angles XOR and OPR. In each case, you find the former is twice the latter, so the sum of angles XOR and XOQ will be twice the sum of angles OPR and OPQ. That is, angle ROQ is twice angle RPQ.
You can get to the required relationship by considering the sum of angles in a triangle and the sum of linear angles. As a shortcut, you can use the fact that an external angle is the sum of opposite internal angles of a triangle. Of course, triangles OPQ and OPR are both isosceles.
Answer: 400
Step-by-step explanation:
From the question, we are informed that the probability of getting a 6 is 4/5 and that the dice is rolled 500 times.
The number of sixes that would be expected to roll will be 4/5 multiplied by the number the dice is rolled
= 4/5 × 500
= 400
There'll be 400 sixes.
Answer:
9
Step-by-step explanation:
because 7 x 9 equals 63
