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ExtremeBDS [4]
3 years ago
13

Solve for x in the given interval.

Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0

Answer:

7pi/2

Step-by-step explanation:

Given the expression cosec x = -1

I'm trigonometry csecx = 1/sinx

The equation becomes

1/sin(x) = -1

Sinx = -1

x = arcsin(-1)

x = -90°

x is negative in the third and 4th interval

Third interval;

x = 180+90

x = 270°

x = 3pi/2

Since the angle should be within 3pi < x < 4pi

Add 2pi to the angle

x = 2pi+ 3pi/2

x = 7pi/2

Hence the required angle is 7pi/2

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Cary is 4 years older than Dan. In 7 years the sum of their ages will be 76
bekas [8.4K]

Ages of Dan and Cary are 29 and 33 respectively.

<u>Step-by-step explanation:</u>

Step 1:

Form equations out of the given details. Let the age of Dan be x, then age of Cary is x + 4.

In 7 years, sum of their ages = 76

⇒ (x + 7) + (x + 4 + 7) = 76

⇒ 2x + 18 = 76

⇒ 2x = 58

⇒ x = 29

Step 2:

Calculate age of Cary.

⇒ x + 4 = 33

3 0
3 years ago
Use the grid to create a model to solve the percent problem.
Delicious77 [7]
For this case we can make the following rule of three:
 21 ------> 70%
 x --------> 100%
 Clearing x we have:
 x = (100/70) * (21)
 Rewriting we have:
 x = (10/7) * (21)
 x = 30
 Thus,
 21 is 70% of 30
 Answer:
 
21 is 70% of 30
6 0
3 years ago
The product of two consecutive numbers is ninety. what are the numbers
Savatey [412]

Answer:

9 and 10

Step-by-step explanation:

8 0
3 years ago
The United States Air Force has 19 women for every 81 men enlisted. If a squadron has 750 members, approximately how many are wo
Arisa [49]
Answer:
Approximately the number of men is 203 and number of women is 47.
7 0
3 years ago
PLEASE HELP ASAP
Lesechka [4]

Answer:

A. f and h

Step-by-step explanation:

For a linear function the First Differences of the y-values must be a constant. i.e. if we take the difference between any two consecutive y values or values of f(x) it should be the constant. For this rule to work, x values must change by the same number every time, which is true for all three given functions.

For function f:

The values of f(x) are: 5,8,11,14

We can see the difference in consecutive two values is a constant i.e. 3, so the First Difference is the same. Hence, function f is a linear function.

For function g:

The values of g(x) are: 8,4,16,32

We can see the difference among two consecutive values is not a constant. Since the first differences are not the same, this function is not a linear.

For function h:

The values of h(x) are: 28, 64, 100, 136

We can see the difference among two consecutive values is a constant i.e. 36. Therefore, function h is a linear function.

5 0
3 years ago
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