If cot x = -4/3 find csc x, if 270°<x<360"​

Answers

Answer 1

Answer:

csc x = - [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Using the trigonometric identity

csc²x = 1 + cot²x

         = 1 + (- [tex]\frac{4}{3}[/tex] )² = 1 + [tex]\frac{16}{9}[/tex] = [tex]\frac{25}{9}[/tex], thus

csc x = ± [tex]\sqrt{\frac{25}{9} }[/tex] = ± [tex]\frac{5}{3}[/tex]

Since 270° < x < 360° where csc x < 0 , then

csc x = - [tex]\frac{5}{3}[/tex]


Related Questions

If Kevin wants a 90 average in math after 5 tests and his first 4 tests are 76, 92, 89 and 97 what does he need on the fifth test for a 90 average?

Answers

You need to understand that you're solving for the average, which you already know: 90. Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.
Solving for the average is simple:
Add up all of the exam scores and divide that number by the number of exams you took.
(87 + 88 + 92) / 3 = your average if you didn't count that fourth exam.
Since you know you have that fourth exam, just substitute it into the total value as an unknown, X:
(87 + 88 + 92 + X) / 4 = 90
Now you need to solve for X, the unknown:
87
+
88
+
92
+
X
4
(4) = 90 (4)
Multiplying for four on each side cancels out the fraction.
So now you have:
87 + 88 + 92 + X = 360
This can be simplified as:
267 + X = 360
Negating the 267 on each side will isolate the X value, and give you your final answer:
X = 93
Now that you have an answer, ask yourself, "does it make sense?"
I say that it does, because there were two tests that were below average, and one that was just slightly above average. So, it makes sense that you'd want to have a higher-ish test score on the fourth exam.
Average = sum/count

current count = 4
current sum = 76+92+89+97=354

we need average = 90 = sum/5
so, we need sum = 90*5=450

To get sum 450, he needs to score 450-354=96 on his best test.

Now, (76+92+89+97+96)/5=90

A a=35
B a=-35
C a=28.5
D a=57

Answers

Answer:

B.) -35

Step-by-step explanation:

In the diagram below, triangle A’B‘C‘ is a transformation of triangle ABC, and Triangle A”B”C” is a transformation of Triangle A’B’C’. Which of the following transformation will lead triangle ABC to triangle A”B”C”?





a) reflection followed by a rotation

b) translation followed by a rotation

c) translation followed by a reflection

Answers

Answer:

B. i think?

Step-by-step explanation:

Shirley measures the thickness of the sides of a cardboard box using a ruler that has centimeter and inch marking
is most likely the value that Shirley measures?
A.
3.0 in
New
B.
3.0 mm
OC.
2.85 mm
OD
0.118 in

Answers

The answer is A. 3.0 inches

what are the dimensions of a square with a perimeter of 48 inches

Answers

Answer:

Each side is 12 inches long. The area is 144 square inches.

Answer:

12 by 12 inches

Step-by-step explanation:

12 times 4  (congruent) sides =48

ASAP PLS

How many cubic centimeters of water can this paper cone cup hold?
8 centimeters
192 cubic centimeters
1447 cubic centimeters
9 centimeters
216 cubic centimeters
487 cubic centimeters
Vcone =

Answers

Answer:

48π

Step-by-step explanation:

The radius is 4 and the height is 9

V=1/3*π 4^2*9

Simplify:

48π

HELP ASAP PLEASEEEE!

Answers

Answer:

it is c

Step-by-step explanation:

Can I get an example of systems of equations that represent the solution of this situation below? (It doesn't need to be solved.) Thank you! ^ ^

"1 taco and 1 burrito costs $11. 10 tacos and 5 burritos cost $80. How much is the cost of one burrito?" (x = the cost of a taco, and y = the cost of a burrito)

Answers

Answer:

x + y = 11

10x + 5y = 80

Step-by-step explanation:

Simplify, using the distributive property and then combining like terms. 5c+2(10−c)

Answers

Answer:

3c +20

Step-by-step explanation:

5c+2(10−c)

Distribute

5c+ 20 -2c

Combine like terms

3c +20

Answer:3c+20

Step-by-step explanation:

Distribute

5c+(2)(10)+(2)(-c)

5c+20+-2c

Combine Like Terms:

(5c+-2c)+(20)

3c+20

Hope I helped:)



Given:

EM, EQ-secants

Prove: MP·EW=WQ·EP


Answers

Answer:

Step-by-step explanation:

A secant is a straight line from a point outside a given circle that passes through two points on its circumference.

From the given diagram, EM and EQ are secants.

Thus,

<PEW ≅ <WEP    (common angles)

<EMP ≅ <EQW (secant-chord theorem)

<WMP ≅ <PQM (inscribed angles of arc WP)

Therefore,

[tex]\frac{EW}{WM}[/tex] = [tex]\frac{EP}{PQ}[/tex]   (corresponding sides of a triangle)

This implies that,

EW*PQ = EP*WM

Therefore,

MP*EW = WQ*EP  (properties of a similar triangle)

find the area of the trapezoid could you go​

Answers

Answer: 11.31372

Step-by-step explanation:

Find the height using pythagorean theorem

1+b^2=9

you should get radical 8

2. Then plug your values into the formula and you get your answer

Three listening stations located at (3300, 0), (3300, 4400), and (-3300, 0) monitor an explosion. The last two stations detect the explosion 4 seconds and 4 seconds after the first, respectively. Determine the coordinates of the explosion. (Assume that the coordinate system is measured in feet and that sound travels at 1100 feet per second.)

Answers

Answer:

hang gang ok

i10 Njan malayalam verupikkal is my job

Mick is planning a party. He wants to serve pizza, chips, and soda Mick discovers that he can purchase one pizza for $11.80, one
bag of chips for $1.59, and one bottle of soda for $1.74. If Mick needs 12 pizzas, 15 bags of chips, and 15 sodas, which is a reasonable amount that he will spend on food for the party?

A. $204.00
B. $84.00
C. $58.00
D. $246.00

Answers

Answer:

A. $204.00

Step-by-step explanation:

Pizzas: 11.80*12=141.6

Chips: 1.59*15=23.85

Sodas: 1.74*15=26.1

Equation:           141.6

                          23.85

                             26.1

                        _______+

                         191.55 closest to $204.00


Vector bought 15.6 pounds of paintballs. All
together, the balls cost $35.99. About how
much did the paintballs cost per pound?

Answers

Answer:

$2.31

Step-by-step explanation:

$35.99/15.6=$2.31

Select all correct conversions.

53 km = 5,300 m
23 cm = 2.3 mm
15 m = 1,500 cm
79 m = 0.079 km
117 mm = 0.117 m
(Which ones are correct?)

Answers

All of them are correct except the first and second one. ( 53 km = 53,000m) (23 cm = 230mm)

The correct conversions are:

15m=1,500cm79m=0.079km117mm=0.117mWhat is unit conversion?

It is a multi-step process that involves multiplication or division by numerical factor, selection  of the correct numbers of significant digits, and rounding.

Equivalent Measurements:

[tex]1km=1000m\\1cm=10mm\\1m=100cm\\1m=1000mm[/tex]

According to the given question:

53km=53×1000m=53000m         (1km=1000m)23cm=23×10mm=230mm             (1cm=10mm)15m=15×100cm=1500cm                (1m=100cm)79m=[tex]\frac{79}{1000} km[/tex][tex]=0.079km[/tex]                    (1m=[tex]\frac{1}{1000}m[/tex])117mm=[tex]\frac{117}{1000}m[/tex][tex]=0.117m[/tex]                     (1mm=[tex]\frac{1}{100} m[/tex])

Hence, the correct conversions are

15m=1,500cm79m=0.079km117mm=0.117m

Learn more about the unit conversion here:

https://brainly.com/question/9484490

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Insert parentheses to make the statement true. 12 + 6 × 11 − 7 = 72 A. 12 + ( 6 × 11 ) − 7 = 72 B. 12 + 6 × ( 11 − 7 ) = 72 C. ( 12 + 6 ) × 11 − 7 = 72 D. ( 12 + 6 ) × ( 11 − 7 ) = 72

Answers

Answer:

D hope this help :)

Step-by-step explanation:(☞゚ヮ゚)☞☜(゚ヮ゚☜)

(12 + 6) × (11 − 7) = 72, is equal to 72 is a True statement.

The correct option is D.

To make the statement true by inserting parentheses, we need to follow the correct order of operations (also known as the PEMDAS or BODMAS rule).

According to this rule, multiplication and division should be performed before addition and subtraction.

Let's examine the options:

A. 12 + (6 × 11) − 7 = 72

B. 12 + 6 × (11 − 7) = 72

C. (12 + 6) × 11 − 7 = 72

D. (12 + 6) × (11 − 7) = 72

To determine the correct option, let's evaluate each expression:

A. 12 + (6 × 11) − 7 = 12 + 66 − 7 = 71 (not equal to 72)

B. 12 + 6 × (11 − 7) = 12 + 6 × 4 = 12 + 24 = 36 (not equal to 72)

C. (12 + 6) × 11 − 7 = 18 × 11 − 7 = 198 − 7 = 191 (not equal to 72)

D. (12 + 6) × (11 − 7) = 18 × 4 = 72

Thus, (12 + 6) × (11 − 7) = 72, is equal to 72 is a True statement.

Learn more about PEDMAS here:

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Reasoning in a laboratory, the probability a bacterial colony thrives is 70%. The numbers 0 to 6 represent the outcome that a colony thrives. The numbers 7 to 9 represent the outcomes that a colony does not thrive. The list of random numbers simulates the out comes of 4 colonies . Based On the simulation in 6 trails . what is the probability that exactly half of the colonies will thrive.
4285 6903 3829 7871 2868 5137

Answers

Answer:

The probability that exactly half of the colonies will thrive = (1/3) = 0.3333

Step-by-step explanation:

The list of random numbers simulates the out comes of 4 colonies.

Based On the simulation in 6 trails, what is the probability that exactly half of the colonies will thrive?

The probability of an event is given mathematically as the number of elements in the event divided the total number of elements in the sample space.

Noting that the numbers 0 to 6 indicate that a colony thrives and the number 7 to 9 represent that a colony doesn't thrive.

The 6 trials are given as

4285; 3 colonies thrive, 1 doesn't.

6903; 3 colonies thrive, 1 doesn't.

3829; 2 colonies thrive, 2 don't.

7871; 1 colony thrives, 3 don't.

2868; 2 colonies thrive, 2 don't.

5137; 3 colonies thrive, 1 doesn't.

The number of trials where exactly 2 colonies thrive = 2

The total number of trials = 6

The probability that exactly half of the colonies will thrive = (2/6) = (1/3) = 0.3333

Hope this Helps!!!

(1/3)^3 Evaluate the expression. This question is designed to test your intelligence.

Answers

Answer:

1/27

Step-by-step explanation:

That means

1/3 * 1/3 * 1/3

1/9 * 1/3

1/27

Answer:

1/27

Step-by-step explanation:

(1/3)^3

1/3*1/3*1/3

1/27

I need the answer to this question

Answers

Answer: B

Explanation: just is

what is the greatest common factor of 33,15

Answers

Answer:

The answer is 3

Step-by-step explanation:

Maria’s height while jumping on a trampoline can be given by the equation: -16^2+16x+5

Answers

Answer:

-207.507490745

Answer the MATH question pleaaseee

Answers

Answer:

25 percent

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Since there are 4 and only 1 is write that is a 1/4 change of guessing correct. 1/4=.25=25%.

A 200-seat movie theater charges $3.00 for adults and $1.50 for children. If all seats were filled and total ticket income was $510.00, how many adults and children were in the audience? ( Use reduced row-echelon form). *

Answers

Answer:

ask your math teacher i rember learning this but froget ow

Step-by-step explanation:

Write equations with j own information:

Adult + child = 200

Adult = 200 - child

3.00 Adult + 1.50 child = 510

Combine equations:

3.00(200-child) + 1.50 child = 510

Simplify:

600 -3.00 child + 1.50 child = 510

600 - 1.50 child = 510

Subtract 600 from both sides:

-1.50 child = -90

Divide both sides by -1.50

Child = -90 / -1.50

Child = 60

There were 60 child seats sold and 140 adult seats sold.

Can someone help me? Thanks! :)

Answers

Answer:

75 is the length of the third side

Answer:

The unknown side to the triangle is 75 cm.

Step-by-step explanation

Let x be the length of the unknown side:

x^2 + 40^2 = 85^2

x^2 + 1600 = 7225

x^2 = 7225 - 1600

x^2 = 5625

x = 75

The diameter of a circle is 8 cm. Which equation can be used to find its circumference? WILL MARK BRAINLIEST
A. C =π×88
B. C=π × 4
C. C = 16×π
D. C=π × 8

Answers

Answer:

The equation is D. C= π × 8.

Step-by-step explanation:

Find the area of the rhombus.

Answers

Answer:

Area of rhombus = 24 m²

Step-by-step explanation:

Diagonal of rhombus is given as:

[tex] D_{1} [/tex] = 6 m

[tex] D_{2} [/tex] = 8 m

[tex]Area \: of \: rhombus = \frac{D_{1}D_{2}}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 \times 8}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 24 {m}^{2} [/tex]

there are 12 inches in 1 foot
write an equation to find the number of inches in any number of feet

Answers

Answer:

divide the number of inches by 12

Step-by-step explanation:

1/12=x/12 then you would cross multiply it

Someone please help me!

Answers

Answer:

18.5

Step-by-step explanation:

You are given the opposite side, and need to find the hypotenuse, leading you to use sine.

Set it up, like so:

[tex]sin67=\frac{17}{x} \\[/tex]

Multiply everything by x, to remove it from the denominator:

[tex]x(sin67=\frac{17}{x} )\\xsin67 = 17[/tex]

Divide both sides by sin67:

[tex]x = \frac{17}{sin67} \\x = 18.46[/tex]

Round to nearest tenth:

x = 18.5

Please help will be greatly appreciated

Answers

Answer:

Step-by-step explanation:

Hands you please help

In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. Find the perimeter of PQRS.

Answers

Answer:

100 units

Step-by-step explanation:

Lengths of diagonals:

PR = 14

QS = 48

Since all 4 sides are equal in length, it's a rhombus

Length of each side:

sqrt[(14/2)² + (48/2)²]

sqrt(625)

25

Perimeter = 4 × 25

= 100

The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.

What is the perimeter of the shape?

The complete stretch of a shape's border is referred to as the perimeter in geometry. A shape's periphery is calculated by summing the lengths of all of its sides and borders. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.

In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. The diagonal of the rhombus intersect at a right angle. Then the side length of the rhombus is given as,

a² = (14 / 2)² + (48 / 2)²

a² = 49 + 576

a² = 625

a = 25

Then the perimeter of PQRS will be given as,

P = 4a

P = 4 x 25

P = 100 units

The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.

More about the perimeter of the shape link is given below.

https://brainly.com/question/28161250

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