What basic trigonometric identity would you use to verify that (sin² x + cos² x/cos x) = sec x?

Write 23 in scientific notation A. 23 x 101 B. 2.3 x 101 C. 2.3 x 102 D. 2.3 x 103

miskamm [114]

When using scientific notation, you only want one number to be in front of the decimal place. If you have to make the number smaller, then the 10^nth power will be positive. If you have to make the number bigger, then 10^nth power will be negative. Example:
0.54 --> 5.4 * 10^-1
35 --> 3.5 * 10^1
The value of n depends on how many spaces the decimal point needs to be moved. For your question, putting 23 in scientific notation would look like this:
23 --> 2.3 * 10^1

8 0

3 years ago

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Bill Gates wrote a computer program that generates three random numbers

Allushta [10]

Answer:

1/1000

Step-by-step explanation:

The probability of two independent events A, B (independent = events that do not depend on each other) is given by the product of the individual probabilities of A and B:

$p(AB)=p(A)\cdot p(B)$ (1)

In this problem, the single event is "getting a 3" when extracting a random number between 1 and 10.

The total number of possible outcomes is

n = 10

While the number of succesfull outcomes (getting a 3) is only one:

$s=1$

So, the probability of drawing a 3 in 1 draw is

$p(3)=\frac{s}{n}=\frac{1}{10}$

Then, we want to find the probability of getting three "3" in 3 consecutive generations. These events are independent events, so we can use rule (1) to find the total probability, and we get:

$p(333)=p(3)p(3)p(3)=(\frac{1}{10})(\frac{1}{10})(\frac{1}{10})=\frac{1}{1000}$

7 0

3 years ago

Anyone know how to do this? Please help

denpristay [2]

Answer:

93.6 inch^2

Step-by-step explanation:

sides=6 side-length=6 inches Apothem= 5.2 inches Area= 6*(1/2)(6)(5.2)

3 0

2 years ago

In ΔCAB, point E is the midpoint of AC and point D is the midpoint of BC . If the measure of AB is 8 units, what is the measure

strojnjashka [21]

Answer:

4 units

Step-by-step explanation:

CAB and EAD are similar triangles with sides in the ratio 2:1

ED = ½ AB

½(8)

4

5 0

3 years ago

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Which is an equation of a direct proportion? a.y=1/6x+6 b.y=6/x c.y=6x-6 d.y=6x

Amanda [17]

Answer:

Option D. y=6x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

case a) y=(1/6)x+6

Is a linear equation, but is not a direct variation. The line not passes through the origin

case b) y=6/x

The equation represent an inverse variation

case c) y=6x-6

Is a linear equation, but is not a direct variation. The line not passes through the origin

case d) y=6x

The equation represent a direct variation

6 0

3 years ago