All categories

3 years ago

2. The point (0.28, 0.96) lies on the unit circle. Which of the following is closest to the tangent of an angle

Mathematics

1 answer:

vlada-n [284]3 years ago

7 0

Answer:

(1) 3.43

Step-by-step explanation:

tan θ = y / x

tan θ = 0.96 / 0.28

tan θ = 3.43

You might be interested in

Find all solutions to the equation. cos x = sin x

svetoff [14.1K]

If you were to draw the cosx and sinx graph there will be infinite solutions at their interceptions which are the multiple of pi/4

8 0

3 years ago

An equation parallel and perpendicular to 4x+5y=19

UNO [17]

Answer:

Parallel line:

$y=-\frac{4}{5}x+\frac{9}{5}$

Perpendicular line:

$y=\frac{5}{4}x-\frac{1}{2}$

Step-by-step explanation:

we are given equation 4x+5y=19

Firstly, we will solve for y

$4x+5y=19$

we can change it into y=mx+b form

$5y=-4x+19$

$y=-\frac{4}{5}x+\frac{19}{5}$

so,

$m=-\frac{4}{5}$

Parallel line:

we know that slope of two parallel lines are always same

so,

$m'=-\frac{4}{5}$

Let's assume parallel line passes through (1,1)

now, we can find equation of line

$y-y_1=m'(x-x_1)$

we can plug values

$y-1=-\frac{4}{5}(x-1)$

now, we can solve for y

$y=-\frac{4}{5}x+\frac{9}{5}$

Perpendicular line:

we know that slope of perpendicular line is -1/m

so, we get slope as

$m'=\frac{5}{4}$

Let's assume perpendicular line passes through (2,2)

now, we can find equation of line

$y-y_1=m'(x-x_1)$

we can plug values

$y-2=\frac{5}{4}(x-2)$

now, we can solve for y

$y=\frac{5}{4}x-\frac{1}{2}$

4 0

3 years ago

How many pounds of each kind of candy (hard at $2 per pound, and soft at $4 per pound) must be mixed to

Reil [10]

Answer:

30 pounds of hard candy and 30 pouonds of soft candy

Step-by-step explanation:

$2 per pound added with $4 per pound would become $3 per pound

x pounds plus 60 - x pounds will add up to 60 pounds

(multiply the top with the bottom)

2x + 4x = 3(60)

6x = 180

x = 30

60 - 30 = 30

6 0

3 years ago

Can someone plz help me Asap

Margarita [4]

Ok what’s the question?

8 0

3 years ago

Read 2 more answers

in a five character password the first two characters must be digits and the last three characters must be letters if no charact

Vilka [71]

Answer:

1,404,000 unique passwords are possible.

Step-by-step explanation:

The order in which the letters and the digits are is important(AB is a different password than BA), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this question:

2 digits from a set of 10(there are 10 possible digits, 0-9).

3 characters from a set of 26. So

$P_{10,2}P_{26,3} = \frac{10!}{8!} \times \frac{26!}{23!} = 10*9*26*25*24 = 1404000$

1,404,000 unique passwords are possible.

5 0

3 years ago