Describe and correct the error in finding csc θ, given that θ is an acute angle of a right triangle and cos θ =7/11

Describe And Correct The Error In Finding Csc , Given That Is An Acute Angle Of A Right Triangle And

Answers

Answer 1

Answer:

cosecθ = 1/sinθ = 11/6√2

Step-by-step explanation:

Given that  cos θ =7/11, cosec θ = 1/sinθ in trigonometry.

Based on SOH, CAH, TOA;

cosθ = adjacent/hypotenuse = 7/11

adjacent = 7 and hyp = 11

Since sinθ = opp/hyp, we need to get the opposite to be able to calculate sinθ.

Using pythagoras theorem to get the opposite;

[tex]hyp^{2} = adj^{2} + opp ^{2} \\opp = \sqrt{hyp^{2} - adj^{2} } \\opp = \sqrt{11^{2} - 7^{2}} \\opp = \sqrt{72} \\opp = 6\sqrt{2}[/tex]

sinθ = 6√2/11

cosecθ = 1/sinθ = 1/( 6√2/11)

cosecθ = 1/sinθ = 11/6√2

Note the error; cscθ[tex]\neq[/tex] 1/cosθ but cscθ = 1/sinθ


Related Questions

find the area of the shape shown below

Answers

Answer:

I think the area is 12 units.

Step-by-step explanation:

Anyone correct me if I'm wrong!

So, I started with 6 times 2 is 12 but since it's a triangle, you have to divide it by 2 . Cause if you cut a square or rectangle, it will become a triangle.

So, 6 for half of the rectangle.

Then in the middle it's a square so 2 times 2= 4.

That square is 4.

Last one would be half a square, so 2 times 2= 4. Divide it in half, you get 2.

That part is 2.

Then I think you have to add all of them, 6+4+2=12

So  I think it's 12 units??

Answer:

There are 3 shapes in the figure.

1 scalene triangle

1 equilateral triangle

1 square

the formula to find the area of a triangle is 1/2 x base x height:

Area of scalene triangle: 1/2 x 6 x 2 = 6 units^2

Area of equilateral triangle: 1/2 x 2 x 2 = 2 units ^2

Area of square: (base x height)

Area of square: 2 x 2 = 4 units^2

Then add up all the areas:

6 units^2 + 2 units^2 + 4 units^2 = 12 units^2

So the area of the entire figure is 12 square units.

pls mark brainliest if this helped :)

Henry examined the table that represents values satisfying the function f(x) shown below.

Based on the information in the table, which one of these key features is incorrect?

A) the maximum value of the function is 4.
B) the y-intercept of the graph of the function is at (0,-18).
C) a local minimium is located within the interval [3,6].
D) a local maximum is located within the interval [ 1,3].

Answers

the answer is A. it is asking for the incorrect answer therefor all are correct except A.

Answer:

A got it right

Step-by-step explanation:

If -2x+3=7 and 3x+1=5+y, what is the value of y?

Answers

Answer:

y = -10

Step-by-step explanation:

To solve this, you must find the value of x first. To do this you must move the first equation so that x is by itself.

-2x + 3 = 7

Subtract 3 from both sides:

-2x = 4

Divide both sides by -2:

x = -2

Now plug in -2 for x into the second equation, like so:

3x + 1 = 5 + y

3(-2) + 1 = 5 + y

-6 + 1 = 5 + y

Add like terms:

-5 = 5 + y

Subtract 5 from both sides:

-10 = y

The value of y for the given system of equations is -10.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

As per the given,

-2x + 3 = 7 and 3x + 1 = 5 + y

-2x = 7 - 3

x = -2

Substitute as

3(-2) + 1 = 5 + y

y = -6 + 1 - 5

y = -10

Hence "The value of y for the given system of equations is -10".

For more about the equation,

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HELP GETS BRAINLIST! AND POINTS! (08.03 LC)
The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Forearm Length, Group A
10
11 12 13
Length (inches)
Forearm Length, Group B
10 11 12 13
Length (inches)
Based on the visual inspection of the dot plots, which group appears to have the longer average forearm length?

Answers

Answer:

group A has longer average

Step-by-step explanation:

the average for group A : 11+11+12+12+12+12+13+13+13+13= 122/10=12.2

the average for group B : 10+10+10+10+10+11+11+12+12+12=108/10=10.8

Answer:

group A has longer average

Step-by-step explanation:

Which of these procedures is the same as multiplying a whole number by 1,000?
A. Add 1,000 to the whole number, three times.
B. Move the decimal point three places to the left and fill in the blank places with zeros.
C.Multiply the whole number by 3, ten times.
D.Move each digit of the whole number three places to the left and fill in the blank places with zeros.

Answers

Answer:

D. Move each digit of the whole number three places to the left and fill in the blank places with zeros.

Step-by-step explanation:

Take the number 5 for example.

If you multiply this by 1,000 you get 5,000.

You may do this by moving the digit 3 places to the left which will give you

5---, then you replace the empty spaces with zeros.

The circumference of a circle is 56.52 inches. What is the diameter of the circle?


A. 4.5 in.

B. 9 in.

C. 18 in.

D. 36 in.

Answers

Answer:

Circumference of a circle = πd

d=diameter

56.52=3.142d

d=17.98 inches d=18 inches

Answer:

18 in.

Step-by-step explanation:

If you do the math, you'd actually get 17.99 inches lol. Just round your answer to 18 since it's THAT close to 18.

maria rolls a regular number cube with sides labeled 1 through 6 a total of 45 times. The number 4 is rolled 12 times. What is the experimental probability of rolling a 4?

Answers

Answer:

... ...................

During a sale at the market​, steaks sold for ​$2 and watermelons sold for ​$1.50. Jan spent ​$17 and bought a total of 10 steaks and watermelons. How many of each did she ​buy?

Answers

Answer:

She bought 4 steaks and 8 watermelons, hope this helps

Step-by-step explanation:

Multiply the binomials.

​(x−7)(x+3)

Answers

Answer: =

x

2

4

x

21

Step-by-step explanation: (

x

+

3

)

.

(

x

7

)

=

(

x

)

.

(

x

7

)

+

(

3

)

.

(

x

7

)

ANSWER

x^2-4x-21

EXPLAIN

First expand the brackets by multiplying the number from the first bracket to the second bracket

you will get this = x^2 + 3x- 7x- 21 ,then u collect the like terms which is (3x & -7x).

your answer ( x^2 - 4x - 21 ).

Pythagorean theorem!! If you have a leg that is 10in long and the hypotenuse is 26in long, what is the length of the other leg?

Answers

Answer:

a = 24 inches

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 10^2 = 26^2

a^2 + 100 = 676 ////// -100 both sides

a^2 = 576

a = 24 /////UNITS!

a = 24 in.

Here’s the photo, it had a detailed explanation for every step hope it helps

Mrs. Samuelson had $350 to spend on a field trip for herself and 18 students. Admission was $12.50 per person and lunch cost about $5.00 per person. Write an equation to describe the amount of money left after the trip.

Answers

Step-by-step explanation:

Answer is $17.5

It says Mrs. Samuelson had $350 to spend on a field trip for herself and 18 students. so there are 19 people. Multiply 12.50*19 you get 237.5.

It also says lunch cost about $5.00 per person. Multiply 5.00*19 you get 95.

Add 95 to 237.5.

You get 332.5

Subtract 350 by 332.5.

Equation: 350-(19*12.50)+(19*5.00)

Answer: $17.5

Does that look right or am I supposed to multiply and get 52.7

Answers

Yeah you got that right i’m guessing you added

Answer: multiply to get 52.7

Step-by-step explanation: scale factor enlargement means the number they give you (6.2) the new size.

in this case would be 8.5 times 6.2  

I hope this helps!

Uma escola estadual de ensino fundamental e médio possui 600 alunos matriculados e nesse período de isolamento social ,os professores têm oferecido atividades remotas atravês ...

Answers

The answer is Donde esta la leche that’s the answer because a square plus b square equals c square

On a coordinate plane, a curved line with a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3) crosses the x-axis at (negative 4, 0) and crosses the y-axis at (0, negative 3). Which statement is true about the graphed function? F(x) 0 over the interval (–∞, –3) F(x) > 0 over the interval (–∞, –4)

Answers

Answer:

f(x) > 0 over the interval [tex](-\infty,-4)[/tex]

Step-by-step explanation:

If  f(x)  is a continuous function,  and that all the critical points of behavior change are described by the given information, then we can say that the function crossed the x axis to reach a minimum value of -12 at the point x=-2.5, then as x increases it ascends to a maximum value of -3 for x = 0 (which is also its y-axis crossing) and therefore probably a local maximum.

Then the function was above the x axis (larger than zero) from [tex]- \infty[/tex], until it crossed the x axis (becoming then negative) at the point x = -4. So the function was positive (larger than zero) in such interval.

There is no such type of unique assertion regarding the positive or negative value of the function when one extends the interval from [tex]- \infty[/tex] to -3, since between the  values -4 and -3 the function adopts negative values.

Answer:

D

Step-by-step explanation:

I took it on EDGE

in a test +3 marks are given for every correct answer and -1 for every incorrect answer Mary attempted all questions and scored +20 marks though she got 10 correct answers (1)how many incorrect answers has she attempted? (2)how many questions were given in the test?

Answers

Answer:

10

20

Step-by-step explanation:

correct c=3 x 10

incorrect i=-1

-------

3c-i=203*10-i=20i=10

incorrect= 10

number of questions= 10+10= 20

A yard is equal in length to three feet .the function as inputs and returns a measurement in feet as output

Answers

Answer:

The output will be 46.2 since the input normally is 1 and the output is 3. So multiply the input by 3 to get your output.

Step-by-step explanation:

The correct answer is 46.2

 if the input is 15.4 the answer will be 46.2.

How did i got the answer:

The output will be 46.2 since the input normally is 1 and the output is 3. So multiply the input by 3 to get your output.

Answer: 46.2

Hope this helps.

Find angle x,y,x,p!
'very easy

Answers

Answer:

y=120

z=120

x=120

p=60

Step-by-step explanation:

y=120

z=120

x=120

p=60

ANSWER:
ANGLE X=120 DEGREES ( VERTICALLY OPPOSITE)
ANGLE Y = 120 DEGREES ( ALTERNATE INTERIOR ANGLES )
ANGLE Z= 120 DEGREES ( VERTICALLY OPPOSITE)
ANGLE P = 180 DEGREES -120 DEGREES ( LINEAR PAIR )
= 60 DEGREES
HOPE IT HELPS!!!!

There are 180 girls in a mixed school. lf the ratio of girls is to boys is 4:3 , the total number of students in the school is what?​

Answers

Answer:

315

Step-by-step explanation:

No. of girls be g

No. of boys be b

g= 180

g/b = 4/3

b = 3g/4

b= 3(180/4)

b= 3*45

b= 135

.

Find b+g

= 135 + 180

= 315

Choose the answer based on the most efficient method as presented in the lesson. -- If the first step in the solution of the equation -x + 6 = 5 - 3x is "subtract 5," then what should the next step be? -- A.)add 3x B.) add x C.) subtract 6

Answers

Answer:

Should be B...add x

Adam had some candy to give to his three children. He first took seven pieces for himself and then evenly divided the rest among his children. WRITE AN EXPRESSION for how many pieces each child received

Answers

Answer:

(x-7)/3

Step-by-step explanation:

x is the amount of candy

x-7 is the amount that Adam got.

(x-7)/3 is the expression for how many pices each child received.

How many vertices does a closed cone have?

Answers

It has one vertice

plz help with slope question

Answers

Answer:

Step-by-step explanation:

Given y=2x(Let's call this eqn1) and y=x+4(eqn2)

We can substitute eqn1 in eqn2 to get

2x=x+4

2x-x=4

x=4

Substitute the value x in eqn1

y=2x

y=2(4)

y=8

Answer:

C. (4, 8)

Step-by-step explanation:

→Plug in y = 2x into y = x + 4, like so:

y = x + 4

2x = x + 4

→Subtract x from both sides:

x = 4

→Now plug in 4 for x into one of the equations (doesn't matter which one):

y = 2x

y = 2(4)

y = 8

please help me answer this!!!

Answers

[tex]a_1[/tex] is the first term of the sequence, which is [tex]\boxed{-4}.[/tex]

[tex]r[/tex] is the common ratio of the sequence, the number that you multiply one term by to generate the next term. Here, we see that multiplying by -2 will generate the next term, so [tex]\boxed{r=-2}.[/tex]

We use the formula [tex]S_n=\frac{a_1(r^n-1)}{r-1}[/tex] to find the sum of the first 6 terms - just plug in our values for [tex]a_1[/tex] and [tex]r:[/tex]

[tex]S_6=\frac{-4((-2)^6-1)}{-3}=\frac{-4(63)}{-3}=\boxed{84}.[/tex]

Find the area of the shape shown below.

Answers

Answer:

23.4375

Step-by-step explanation:

you need to do base x base x height divided by 2. 7.5 x 2.5 x 2.5 = 46.875. divide that by 2 and you get 23.4375  

7) Ryan's school is selling tickets to a play. On the first day of ticket sales the school sold 8 senior citizen
tickets and 10 student tickets for a total of $182. The school took in $109 on the second day by selling 6
senior citizen tickets and 5 student tickets. What is the price each of one senior citizen ticket and one
student ticket?

Answers

Maybe try x=z1 or z1=x

Hi! I need the answer for this question: solve until you get the minimum expression: 2x . (x+y) + 1/5 x.x + 1/2 y . (x + 3)

Answers

Answer:

11/5 x^2 + 5/2 xy + 3/2 y.

Step-by-step explanation:

2x . (x+y) + 1/5 x.x + 1/2 y . (x + 3)

= 2x^2 + 2xy + 1/5 x^2 + 1/2xy + 3/2 y

= 11/5 x^2 + 5/2 xy + 3/2 y.

What is the measure of AC?
E
5 units
13 units
26 units
39 units
с
3x-2
00
6x + 9
A
8x - 1
D

Answers

Answer:26 units

Step-by-step explanation:

What is the solution of the system of equations shown below? y = 4x + 4 y
= x^2 - 5x + 18 *

Answers

Answer:

(7, 32) and (2, 12)

Step-by-step explanation:

y = 4x + 4

y = x² - 5x + 18

4x + 4 = x² - 5x + 18

x² - 9x + 14 = 0

14 = (-7)(-2)

-9 = -7 + (-2)

(x - 7)(x - 2)=0

x= 7, x = 2

For x = 7

y = 4x + 4  = 4*7 + 4 = 32

(7, 32)

For x = 2

y = 4x + 4 = 4*2 + 4 = 12

(2, 12)

Check:

y = x² - 5x + 18

(7, 32)

32 = 7² - 5*7 + 18

32= 32 true

(2, 12)

12 = 2² - 5*2 + 18

12 = 12 true

Answer:

(7, 32) and (2, 12)

Step-by-step explanation:

Danielle needs to pay $50.00 to attend her college’s semi-formal. When she works in the dining hall, she makes $20.00 per day plus $6.00 for every additional hour she works. If she wants to earn at least $50.00 by Friday, she thinks that she only needs to work 3 additional hours but her friend Jurrae thinks that she needs to work 5

Answers

Her friend is right Danielle needs to work for 5 hours

What is the area??????

Answers

Answer:

15.59

Step-by-step explanation:

The answer is 15.59 because to find the area of an equilateral triangle, you need to multiply the height by the length. In this scenario, the length is 6, and we need to find the height. Since we know that all of the sides of the equilateral triangle are 6, we can put a line dividing the equilateral triangle exactly in half as our height. This will form 2 triangles, and each of them will have a length of 3, and a slant height of 6. They would also be right triangles. Now, with this information you can do pythageroum thereom to find the height:: 3^2 + h^2 = 6^2. So, h = √27. Now, to find the area of a triangle, you must multiply the length by the height and then divide by 2. So (6 • √27)/2 is equal to 15.5884572681, which rounded is equivalent to 15.59. So the answer is 15.59.

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