Mathematics Middle School

Find the remaining trigonometric ratios of θ based on the given information.
csc θ = 2 and cos θ is positive

Answers

Answer 1
Here is what I got. Hope it helps.
Find The Remaining Trigonometric Ratios Of Based On The Given Information. Csc = 2 And Cos Is Positive
Answer 2
Final answer:

To find the remaining trigonometric ratios of θ given that csc θ = 2 and cos θ is positive, we calculate sin θ, cos θ, tan θ, cot θ, and sec θ.

Explanation:

To find the remaining trigonometric ratios of θ, we are given that csc θ = 2 and cos θ is positive. Based on this information, we can determine the values of the other trigonometric ratios.

The reciprocal of sin θ is csc θ, so we can find sin θ by taking the reciprocal of 2. Therefore, sin θ = 1/2.

Since cos θ is positive and sin θ is positive (since 1/2 is positive), we know that θ is in the first quadrant. In the first quadrant, all the trigonometric ratios are positive. Therefore, cos θ = √(1 - sin²θ) = √(1 - (1/2)²) = √(1 - 1/4) = √(3/4) = √3/2.

Finally, we can find the remaining trigonometric ratios:

tan θ = sin θ / cos θ = (1/2) / (√3/2) = 1/√3 = √3/3cot θ = 1/tan θ = √3/3sec θ = 1/cos θ = 2/√3 = 2√3/3cos θ = √3/2

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Related Questions

If r is five less than three times l, then r = A)3l - 5 B)5 - 3l C)5l - 3 D)3(l - 5)

Answers

the answer is A) 3I-5

Answer:  The correct option is

(A) [tex]r=3l-5.[/tex]

Step-by-step explanation:  Given that r is five less than three times l.

We are to write the expression for r.

We have

5 less than three times l can be written as follows :

[tex]3\times l-5=3l-5.[/tex]

Since this is equal to r, so the expression can be written as

[tex]r=3l-5.[/tex]

Thus, the required answer is [tex]r=3l-5.[/tex]

Option (A) is CORRECT.

Find the value of x so that the function has the given value .q(x)= 1/2x-3;q(x)=-4

Answers

Final answer:

To find the value of x when q(x) = -4, we set up the equation and solve for x.

Explanation:

To find the value of x for which the function q(x) is equal to -4, we can set up the equation q(x) = -4 and solve for x.

Given q(x) = 1/2x - 3, we can substitute -4 for q(x) and solve:

-4 = 1/2x - 3

Adding 3 to both sides, we get:

-1 = 1/2x

Multiplying both sides by 2 to isolate x, we have:

-2 = x

Therefore, the value of x that makes the function q(x) equal to -4 is x = -2.

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How do you solve a=bx+cx+d for x

Answers

a=bx+cx+d@xa=bx+cx+dSolve for: Let's solve for a.a=bx+cx+dAnswer:a=bx+cx+d
a=bx+cx+d
-d            -d
-------------------
a-d=bx+cx
a-d=x(b+c)
----     ------
b+c    b+c

Solving the following problem -25 +37=

Answers

The answer is 12 because it is a negative

12 bc is a negative...

Use long division to convert the rational number 4/9 to its equivalent decimal form. In your final answer, include all of your work.

Answers

see the attached picture for solution:

Does this figure have rotational symmetry? A) No, a square cannot be rotated. B) Yes, the figure can be rotated 90°. C) Yes, the figure can be rotated 180°. D) No, no matter how it is rotated it will look different.

Answers

The true statement is b. Yes, the figure can be rotated 90°

Does the figure have rotational symmetry

From the question, we have the following parameters that can be used in our computation:

The figure (a square)

Rotational symmetry means that an object looks the same after a certain amount of rotation around a central point.

In the case of a square, it has rotational symmetry of 90 degrees. This means that if you rotate a square by 90 degrees (a quarter turn), it will look exactly the same as it did before the rotation.

Hence, the true statement is b. Yes, the figure can be rotated 90°

What is the sum of -2.16 and -1.75

Answers

-3. 91 is the sum of -2.16 and -1.75
-3.91 is the sum between -2.16 and -1.75

Can I please get help with this one ?

Answers

|528 1/5 - (-89 3/5)|
|528 1/5 + 89 3/5|
|617 4/5|
617 4/5

Hope this helped!

what is the sum of three consecutive odd integers is 75?

Answers

odd integers are 2 apart
they are n, n+2, n+4

the sum is 75

n+n+2+n+4=75
3n+6=75
minus 6 both sides
3n=69
divide both sides by 3
n=23
n+2=25
n+4=27

the integers are 23,25,27

A number is between 17 and 22. It has prime factors of 2​, and 5. What is the​ number?

Answers

The number would be 20 because these are factors of 2... 2,4,6,8,10,12,14,16,18,20 and factors of 5.... 5,10,15,20 they both are factors of 20. So your answer would be 20. Just to make sure... let's try 17 well it can't be a factor of 2 because it's an odd number and we couldn't do 18 because it's not a factor of 5. We can't do 19 because it's not a factor of 2 or 5. 20 is a factor of both. 21 isn't a factor of 2 or 5. Lastly we have 22.. well it's a factor of 2 but not a factor of 5.
Final answer:

There is no number between 17 and 22 that has prime factors of 2 and 5 because the products of these numbers or their powers don't fall within the range of 17 and 22.

Explanation:

The question is asking for a number that is between 17 and 22 and has prime factors of 2 and 5. Since 2 and 5 are prime numbers, their products could be solutions. However, the least product of 2 and 5 is 10 which is not between 17 and 22. If we consider the product of the power of these numbers such as 2² = 4 and 5² = 25, still we don't have a number that falls within the 17 and 22 range. Therefore, there is no number that is between 17 and 22 that has prime factors of 2 and 5.

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what is 5 1/2 minus 3 1/4

Answers

5 1/2 - 3 1/4

11/2 - 13/4

22/4 - 13/4 = 9/4

your answer is 2 1/4

hope this helps
Hello There!

All you do is make them improper fractions, make the denominators then multiply.
You'd get 2 1/4

Hope This Helps You!
Good Luck :)

two trains left metropolis at the same time. One traveled south at 50mph. the other traveled east at 40mph. how far apart were the trains at the end of 3 hours

Answers

The trains were approximately 192.09 miles apart at the end of 3 hours.

Answer:

192.09

Step-by-step explanation:

Make an estimate for 3389+2712. Write a number model to show your strategy. I know the answer. Can someone explain this to me pls

Answers

Final answer:

To estimate the sum of 3389 and 2712, round each number to the nearest thousand (3389 to 3000 and 2712 to 3000) and then add them to get an estimated sum of 6000.

Explanation:

To make an estimate for the sum of 3389 and 2712, you can round each number to the nearest hundred or thousand then add the rounded numbers. In this case, let's round to the nearest thousand for a simpler estimate:

3389 is close to 3000 (rounded down)2712 is close to 3000 (rounded up)

Now add the rounded numbers:

3000 + 3000 = 6000

The number model for this estimate strategy is:

\( 3000 + 3000 = 6000 \)

This model shows the process of rounding each term to the nearest thousand and then adding them together to get an estimated sum.

The selling price of an item is ​$440. It is marked down by 3030​%, but this sale price is still marked up from the cost of ​$280. Find the markup from cost to sale price.

Answers

The markup from cost to sale price is $28.

Original selling price - $440Marked down by 30% to $440 - 30% = $308Markup from cost to sale price = Sale price - Cost price = $308 - $280 = $28

The number of customers in a store on the first day is represented by (6x-3). The number of customers on the second day is represented by (x-1).Write an expression to find how many more customers visted the store on the first day. Then evaluate the expression if x is equal to 50 PLZZZZ HELP ME ITS DO IN 20 MINS!!!1!!!111111!!! (27 pts)

Answers

the answer is 5x - 2 ; 248 customers

A ski club had 146 members. Each member paid $30 a month for training fees. How much did the club collect in fees for the year? Show your work.

Answers

The club will collect $52,560 in fees for the year
you would multiply the number of member by how much they pay a month to find the monthly income. then multiply the monthly income by 12 to find the yearly income

which number has a 2 in position where it represents 10 times as much as the 2 in 4,523 a. 241 d. 612 c. 928 b. 2,175

Answers

A. 241

The 2 in 4,523 is 20.
20 times 10= 200.
So the answer has to have a 2 in the hundreds place.
Final answer:

The number 2,175 is the correct answer because its 2 is in the 'hundreds' place which is 10 times as much as the 2 in the 'tens' place of the number 4,523.

Explanation:

In the provided options for numbers, we are to find a number which has a 2 that represents 10 times as much as the 2 in 4,523. In number 4,523, the number 2 represents '20', that is, it is in the 'tens' place. Therefore, we are looking for a number where 2 is in the 'hundreds' place as the 'hundreds' place is 10 times the 'tens' place. From the options given, only number 2,175 fits this criterion as in this number, 2 is in the 'hundreds' place which is 10 times as much as the 'tens' place.

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How to calculate a 20% tip from a $25.50 bill

Answers

Easy you just multiply .20 with 25.50
you multiply 25.50 x .20 and get 5.10. You add the 5.10 to 25.50 and get $30.60

What does y equal?
3y + 5.2 = 2 - 5y

Answers

3y + 5.2 = 2 - 5y
3y + 5y = -5.2 + 2
8y = -3.2
8y/8 = -3.2/8
y = -0.4 is your answer

hope this helps
y equals negative .4 

Help me ASAP!!!

(64 ÷ -4) ÷ (-2)

Answers

Just do PEMDAS

[tex]parentheses \\ exponents \\ multiplication \\ division \\ addition \\ subtraction [/tex]

In this problem we're using: [tex]parentheses [/tex] and [tex]division [/tex]

So, ([tex]64 [/tex]  ÷ -4) ÷ (-[tex]2[/tex])
[tex] \frac{64}{-4} = -16 [/tex]
Problem becomes: [tex] \frac{-16}{-2} [/tex]
Answer: [tex]8[/tex]

good luck on your assignment and enjoy your day! 

~[tex]MeIsKaitlyn :)[/tex]

an architect is designing a rectangular greenhouse. Along one walks is a 7-ft storage area and 5 sections for different kinds of plants. On the opposite wall is a 4-ft storage area and 6 sections for plants. Al of the sections for plants are of equal length. What is the length of each wall ?

Answers

17+2n+=21 +2n is no solution

Answer:

The length of each wall is 22 ft.

Step-by-step explanation:

Consider the provided information.

It is given that the length of each section of plants is equal.

Let the length of each plant is x.

Thus, the length of each side is 7-ft storage area and 5 sections for different kinds of plants. i.e.

Length of one side = 7 + 5x

Similarly, on the opposite wall is a 4-ft storage area and 6 sections for plants. i.e.

Length of opposite side = 4 + 6x

For better understanding refer the figure 1:

As we know in a rectangle opposite sides are equal, thus.

7 + 5x = 4 + 6x

Solve for x.

7 - 4  =  6x-5x

x = 3

Thus, the length of one side is:

7 + 5(3) = 7 + 15 = 22 ft

Hence, the length of each wall is 22 ft.

Note: it is not possible to find the length of other two wall as there is no information related with them.

sara nick and robin were collecting cans for a recycling project . sara collected 5 times as many cans as robin . nick collected 6 times as many cans as robin . the 3 children collected a total 216 cans . how many cans did they each collect?

Answers

r = robins cans
s = sara's cans
n = nick's cans
T = total cans

s = 5r
n = 6r
T = 216 = s + r + n

we sub in the first two equations into the first

216 = 5r + 6r + r
216 = 12r
r = 18
sub this back into equations 1 and 2

thus

r = 18
s = 90
n = 108

Use the rule y = -x + 7 to fill in the blank.

If (-1, y) is on the graph, then y =

Answers

Answer:

k no Im just joking it is y=6

Step-by-step explanation:

Final answer:

Using the rule y = -x + 7, when x is -1, the value for y in (-1, y) is 8.

Explanation:

The rule given is y = -x + 7. If we insert x = -1 into the formula, we get y = -(-1) + 7, which simplifies to y = 1 + 7 and then further reduces to y = 8.

So, when (-1, y) is on the graph of the function, y equals to 8.

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You roll a six sided die. What is the probability of rolling a 1 or 2?

Answers

A = number of ways to roll a 1 or a 2
B = number of ways to roll the six-sided die

In this case, 
A = 2 (since there is only one copy of '1' or '2')
B = 6 (because there are 6 sides)

So,
Probability of rolling a 1 or 2 = A/B
Probability of rolling a 1 or 2 = 2/6
Probability of rolling a 1 or 2 = 1/3

Answer: 1/3
(this is approximately equal to 0.333)

Sam has 19 1/2 meters of rope to make jump ropes. He needs 3 1/4 meters for each jump rope.

How many jump ropes can Sam make?


A. 6

B. 6 1/4

C. 6 1/2

D. 7

Answers

This answer is A. 19.5/3.25=6

Shown in the figure is part of a design for a water slide. Find the total length of the slide to the nearest foot, if α = 25°, β = 31°, a = 35 ft, and b = 170 ft.

Answers

let L be the total Length, so L=L1 + L2 + L3L1 is the first length
according to the figure L1 = a / sinβ = 25/ 0.57= 43.85 ft                                     L3= a/sinα = 25 / 0.42=59.5 ft, for L2=b -L1-L3=96.62
so the total length is L=L1 + L2 + L3=  200ft

I REALLY NEED HELP PLEEEASS Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today. Write and solve an inequality to solve for the least amount of money she needs to deposit to avoid a fee.
524.96 − 32.50 + x ≥ 500; x ≥ $7.54
524.96 − 32.50 + x ≤ 500; x ≤ $7.54
524.96 + 32.50 − x ≥ 500; x ≥ $57.46
524.96 + 32.50 − x ≤ 500; x ≤ $57.46



Thank you

Answers

the answer is the first one. 524.96 - 32.50 + x ≥ 500; x ≥ $7.54

The answer is A, because I said so and Im Albert Einstein´s nonrelative


Segment PQ bisects segment ST at point R.

SR=2x+2 and ST=40

Find the length of segment SR.

a
SR=9
b
SR=40
c
SR=36
d
SR=20

Answers

2(2x+2)=40, 4x+4=40, 4x=36, x=9..plug in 9..
2x+2, 2×9+2, 18+2, 20=sr


or simply 40÷2=20

Answer:

2(2x+2)=40, 4x+4=40, 4x=36, x=9..plug in 9..

2x+2, 2×9+2, 18+2, 20=sr

Step-by-step explanation:

How many segments is 75 broken into? Use this to figure out the value of each segment

Answers

it will be broken into 5

6 points! Giving brainliest to the best answer!!!!
Reporting any silly or incorrect answers.


A car travels 183.75 miles in 5 hours and 15 minutes. How fast did it travel. (put your answer in mph).

Answers

The answer needs to be in mph, or "miles per hour", so let's convert "5 hours and 15 minutes" to pure hours (with no minutes attached)

Since there are 60 minutes in an hour, this means that 15 minutes = 15/60 = 1/4 of an hour (quarter of an hour). I'm going to convert the fraction 1/4 into decimal form 0.25; use a calculator or long division to compute this.

Therefore,
5 hours and 15 minutes = (5 hours) + (15 minutes)
5 hours and 15 minutes = (5 hours) + (0.25 hours)
5 hours and 15 minutes = (5+0.25) hours
5 hours and 15 minutes = 5.25 hours

---------------------------------------------------------

The car travels 183.75 miles (given) for 5.25 hours (value computed above). Use the formula shown below to find the speed or rate

speed = distance/time
s = d/t
s = 183.75/5.25
s = 35

Note: your math book might use "r" instead of "s".

So the speed of the car is 35 miles per hour
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