Which of the following is an identity?
A: secBcotB = cosB
B: secBcotB = cscB
C: secBcotB = sinB
D: secBcotB = cscBtanB

Answers

Answer 1

Answer:

The answer is option B

Step-by-step explanation:

secB = 1/cosB

cotB = cosB / sinB

secBcotB is

[tex] \frac{1}{ \cos(B) } \times \frac{ \cos(B) }{ \sin(B) } \\ \\ = \frac{1}{ \sin(B) } \\ \\ But \: \frac{1}{ \sin(B) } = \csc(B) \\ \\ \\ = \csc(B) [/tex]

Hence the identity

Hope this helps you


Related Questions

Can i get a correct answer bc i already asked this on and didn't get the correct answer that was listed

Answers

Answer:267.9 in³? Dk if it's right or wrong, forgive me.

Answer:

V = 267.9 in.³

Step-by-step explanation:

Diameter reduced by half = 16/2 = 8 inches

Radius = 4 inches

Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 4

=> V = [tex]\frac{4}{3} (3.14)(4)^3[/tex]

=> V = 804.2/3

=> V = 267.9 in.³

Can someone help me plzzzzz

Answers

Answer:

C

Step-by-step explanation:

I think answer should be c. Please give me brainlest I hope this helps

Sierra makes 8 friendship bracelets in 2 hours.how long does it take her to make 1?

Answers

Answer:

2 hours = 120 minutes so it takes her 120 / 8 = 15 minutes to make one.

Khala plots point A at (Negative 1, Negative 3 and one-half). Which graph shows the location of point A? On a coordinate plane, point A is 1.5 units to the left and 3.5 units down. On a coordinate plane, point A 1 unit to the left and 3.5 units down. On a coordinate plane, point A is 1 unit to the right and 3.5 units up. On a coordinate plane, point A is 1 unit to the right and 3.5 units down.

Answers

Answer:

The coordinate plane where the point is 1 unit to the left and 3.5 units down

Step-by-step explanation:

On a coordinate plane the negative side is left and down and positive is up and right so you can eliminate any answer with up or right. The point says its (-1,-3.5) which means it will be 1 to the left making it -1 and 3.5 down which will make it -3.5.

Answer:

D

Step-by-step explanation:

Edge 2020

Mr. Kohl has a beaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives each student 3 milliliters of solution, he will have 5 milliliters left over. In order to give each student 4 milliliters of solution, he will need an additional 21 milliliters. How many students are in the class?

Answers

Answer:

There are 26 students in the class

Step-by-step explanation:

Let n millilitres be the solution in the beaker

Let x be the number of students in a class

He gives 3 millilitres of solution to each student . He will have 5 millilitres left over.

So, Solution distributed = 3x

Remaining solution = n-3x

So, n-3x = 5 ----1

In order to give each student 4 millilitres of solution, he will need an additional 21 millilitres.

So, n-4x=-21 -----2

Substitute the value of n from 1 in 2

So, 5+3x-4x=-21

5-x=-21

26=x

Hence There are 26 students in the class

Divide 5 3/4 divided by 1 1/2

Answers

Answer:

[tex] 3\frac{5}{6} [/tex]

solution,

[tex]5 \frac{3}{4} \div 1 \frac{1}{2} \\ = \frac{5 \times 4 + 3}{4} \div \frac{2 \times 1 + 1}{2} \\ = \frac{20 + 3}{4} \div \frac{2 + 1}{2} \\ = \frac{23}{4} \div \frac{3}{2} \\ = \frac{23}{4} \times \frac{2}{3} \\ = \frac{23}{6} \\ = 3 \frac{5}{6} [/tex]

hope this helps...

Good luck on your assignment..

Answer:

23/6=3 5/6

Step-by-step explanation:

5  3/4=(4*5+3)/4=23/4

1 1/2=(2*1+1)/2=3/2

23/4:3/2=23/4*2/3=23*2/4*3=23/2*3=23/6

SI LOS ELEMENTOS DE UN CONJUNTO PERTENECEN TODOS A OTRO CONJUNTO SE LLAMAN: a) Iguales b) Subconjunto c) Cardinalidad

Answers

Answer:

B; Subconjunto

Step-by-step explanation:

Aquí, se nos pide que seleccionemos el término que define un conjunto con sus elementos que pertenecen a un conjunto más grande.

La respuesta correcta es que el conjunto más pequeño es un subconjunto del conjunto más grande.

Esto significa que el conjunto más pequeño es parte del conjunto más grande, lo que lo convierte en una subdivisión del conjunto más grande

11 POINTS !!GEOMETRY!! find the radius and area to the nearest hundredth given the circumference is 8.61. show work.

Answers

Step-by-step explanation:

C=2×pi×r

8.61=2pi*×r

8.61÷2pi=13.52 radius

A=pi×r^2

pi×13.52^2=574.25 area

2. Solve the following equation for b. 6b + 2a - 4 = 2b +3a ​

Answers

Answer:

b=1/4a+1

Step-by-step explanation:

Step 1: Add -2b to both sides.

2a+6b−4+−2b=3a+2b+−2b

2a+4b−4=3a

Step 2: Add -2a to both sides.

2a+4b−4+−2a=3a+−2a

4b−4=a

Step 3: Add 4 to both sides.

4b−4+4=a+4

4b=a+4

Step 4: Divide both sides by 4.

4b/4 = a+4/4

b=1/4a+1

Please mark brainliest

Hope this helps.

Answer:

the answer is A

Step-by-step explanation:just took the test

Solve: c) 2x^2+5x=-3 ​

Answers

Answer:

(x+1)(2x+3)=0 is the answer

Step-by-step explanation:

2x²+5x=-3

2x²+5x+3=0

2x²+3x+2x+3=0

x(2x+3)+1(2x+3)=0

(x+1)(2x+3)=0

i hope this will help you :)

can someone please help​

Answers

X= 28
2x + 2 = 58
2x = 56
X = 28

Answer: 57°

Step-by-step explanation:

Bisecting makes angle ZXY=ZXW. So 58+58=116.

Then solve. 2x+2=116.

2x=114

x=57

How do you do this? please help me

Answers

Answer:

f = 10, g = 4.8 cm

Step-by-step explanation:

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

So,

Area of ADE = 60-48

=> 12 cm²

Area of ADE = [tex]\frac{1}{2} (Base)(Height)[/tex]

Where Area = 12 cm², Base = 4 cm

12 = [tex]\frac{1}{2}(4)(Height)[/tex]

Height = 12-2

Height = 10 cm

Where Height is AD

So, AD = 10 cm

Also, AD is parallel and equal to BC[tex](f)[/tex]

So,

f = 10 cm

Now, Finding g

Area of ABCD = [tex]Base * Height[/tex]

Where Area = 48 cm², Base = 10 cm

48 = 10 * Height

Height = 48/10

Height = 4.8 cm

Whereas, Height is g

So, g = 4.8 cm

Does anyone know what to do here?

Answers

Answer:

n=-5

Step-by-step explanation:

y^5*y^n= y^5+n when multiply , add exponents

y^5+n/y^2= y^(5+n)-2 divide, subtract exponents

y^(5-5-2) =y^-2

a) y = 5x
What happens to the value of y if the value of x doubles?
Select your answer.
x 2
x 5
- 2
- 5
А.
B
C
D
b)y=
5
What happens to the value of y if the value of x triples?
Select your answer.
x 2
x 3
-2
- 3
A
B
C
D

Answers

Answer:

if x doubles y will be 2y &if x triples the value will be 3y


+
Il
what is the circumference of a circle
with a radius of 14.7cm
C xd
7 car and so
22/7
3/7 x​

Answers

Answer:

Circumference

(22÷7)×14.7×2 = 92.4cm

4m when m is 6? Can someone help!!!!!!

Answers

Answer:

24

Step-by-step explanation:

4m = 4 * m = 4 * 6 = 24

Solving Linear Systems by Substitution x+y=5 -3x+2y=5

Answers

Answer:

x=8.5

y=-3.5

Step-by-step explanation:

lets say  x=5-y

substituting x in the other equation gives -3(5-y)+2y=5

-15+3+2y=5

2y=5+15-3

2y=17

y=8.5

from equation 1    : x+8.5=5

x=5-8.5

x=-3.5

Answer:

X=1y=4

Please see the attached picture for full solution...

Hope it helps...

Good luck on your assignment...

Please help i will mark brainliest

Answers

Answer:

y=-6x+1

Step-by-step explanation:

The current cost of a loaf of bread is $2.89. At the time of this writing, the CPI for bread is 323.0. What was the cost of a loaf of bread in 1983 to the nearest cent?


This is a fill in the blank question.

Answers

Answer:

Cost of loaf of bread in 1983 is 90 cents

Step-by-step explanation:

Mathematically;

CPI = Cost of market in given year/cost of market in base year * 100

From the question,

CPI = 323

cost of market in given year =2.89

cost of market in base year = ?

323 = 2.89/c * 100

323c = 289

c = 289/323

c = 0.8947

which is approximately 90 cents

The word ‘over’ is to show a fraction btw
10 over x-4 = 6

Answers

Answer:

x = [tex]\frac{17}{3}[/tex]

Step-by-step explanation:

[tex]\frac{10}{x-4}=6\\\\[/tex]

10 = 6*(x -4)

10 = 6*x - 6*4

10 = 6x - 24

Add 24 to both sides

10 + 24 = 6x - 24 + 24

34 = 6x

6x = 34

Divide both sides  by 6

6x/6 = 34/6

x = [tex]\frac{17}{3}[/tex]

3. 10 + (8 x 3) - 32

Answers

Answer:

[tex]2[/tex]

Step-by-step explanation:

In order to find the answer to this question use PEMDAS and solve.

[tex]10+(8\times3)-32[/tex]

P goes first:

[tex]8\times3=24[/tex]

[tex]10+24-32[/tex]

A goes next:

[tex]10+24=34[/tex]

S goes last:

[tex]34-32=2[/tex]

[tex]=2[/tex]

Hope this helps.

Answer:

2

Step-by-step explanation:

10 + (8 x 3) - 32

So I’m assuming the x represents multiplication

10 + (8*3) - 32

In Pemdas parenthesis is always first

(8*3)=24

10+24-32

Then addition

10+ 24=34

34-32=2

Solve the following equation for x: -7 + 4x + 10 = 15 - 2x *

Answers

Answer:

x=2

Step-by-step explanation:

-7+4x+10=15-2x

combine like terms

4x+3=15-2x

add 2x to both sides

6x+3=15

subtract 3 on both sides

6x=12

divide 6 on both sides

x=2

Crystal reads 25 pages in 1/2 hour. Write an equation to represent the relationship between the number of pages Crystal reads and how much time she spends reading. Let p=pages and t=number of pages.

Answers

Answer:

p=50t

Step-by-step explanation:

The more pages Crystal has to read, the more time she spends reading.

Let p=number of pages read

t=time spent reading the number of pages

As t increases, p increases.

This is a direct proportion and we can write it as:

[tex]p=tk$ where k is the constant of proportionality\\When $ t=\frac{1}{2} $ hour, p=25 pages\\Therefore:\\25=0.5k\\k=25\div 0.5\\k=50[/tex]

Substitution of k into p=tk gives:

p=50t

Therefore, an equation representing the relationship between the number of pages Crystal reads and how much time she spends reading is:

p=50t

(−a+b)(b–a) Please help I don't understand how to do this

Answers

Answer:

a^2 -2ab + b^2

Step-by-step explanation:

(−a+b)(b–a)

FOIL

first : -a*b = -ab

outer: -a * -a = a^2

inner +b * +b = b^2

last: b* -a = -ab

Add  them together

-ab+a^2 + b^2 -ab

Combine like terms

a^2 -2ab + b^2

Answer:

a^2+b^2-2ab

Step-by-step explanation:

(-a+b)(b-a)=

first mutiply -a(b-a)=-ab+a^2

second multiply b(b-a)=b^2-ab

then add : -ab+a^2+b^2-ab= a^2+b^2-2ab

The probability of event A is 0.48, the probability of event A and B is 0.21, and the probability of events A or B is 0.89. What is the probability of event B?

Answers

Answer:

[tex] P(A)= 0.48, P(B)= ?, P(A \cap B)= 0.21, P(A \cup B) =0.89[/tex]

And for this case we can use the total rule of probability given by:

[tex] P(A \cup B) = P(A) +P(B) -P(A\cap B)[/tex]

And if we solve for [tex] P(B) [/tex] we got:

[tex] P(B)= P(A \cup B) -P(A) +P(A \cap B)[/tex]

And replacing we got:

[tex] P(B) = 0.89 -0.48 +0.21= 0.62[/tex]

Step-by-step explanation:

We have the following probabilities given:

[tex] P(A)= 0.48, P(B)= ?, P(A \cap B)= 0.21, P(A \cup B) =0.89[/tex]

And for this case we can use the total rule of probability given by:

[tex] P(A \cup B) = P(A) +P(B) -P(A\cap B)[/tex]

And if we solve for [tex] P(B) [/tex] we got:

[tex] P(B)= P(A \cup B) -P(A) +P(A \cap B)[/tex]

And replacing we got:

[tex] P(B) = 0.89 -0.48 +0.21= 0.62[/tex]

Answer:

0.62

Step-by-step explanation:

What is an equation of the line that passes through the point
(−2,−2) and is parallel to the line
5x−y=4?

Answers

Answer:

y = 5x + 8

Step-by-step explanation:

If you want to find a equation parallel to the line given, you need to know the slope of the line given. Remember that parallel lines have the same slope.

5x - y = 4 and solving for y:

-y = -5x + 4 and solving for positive y:

y = 5x - 4

So the slope of that line is 5. We will use that along with the coordinate given to us to write the equation first in point-slope form then in slope-intercept:

y - (-2) = 5(x - (-2)) and

y + 2 = 5(x + 2) and

y + 2 = 5x + 10 so

y = 5x + 8

Paul is 12 years older than Colin. Caroline is 3 years younger than Colin. If the total of their ages is 87, how old is the youngest of them?

Answers

Answer:

23

Step-by-step explanation:

87=x+(x+12)+(x-3)

87=3x+9

3x=78

x=26

This is Colin's age. Caroline is 3 years younger than Colin, so she is the youngest, and we need to find her age. Subtract 3 from 26, and you get your final answer, 23.

What is the exact volume of a cylinder with a height of 30 inches and radius of 13 inches

Answers

Answer:

2,451 inches.

Step-by-step explanation:

Formula for volume of a cylinder = V=πr2h

r = 13 inches

h = 30 inches

π=22/7 or 3.14

V = 3.14 × 13 × 2 × 30

= 2,451.43

Answer is 2,451.43

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

Answers

Answer:

Width: [tex]10y^6[/tex]

Length: 7y² + 3

Step-by-step explanation:

Step 1: Factor out 10

[tex]10(7y^8+3y^6)[/tex]

Step 2: Factor out [tex]y^6[/tex]

[tex]10y^6(7y^2+3)[/tex]

According to the question, the width is the monomial (1 term), so that is equal to [tex]10y^6[/tex]. That means the distributed part would be the length (7y² + 3).

Please help!! Rhombus LMNO is shown with its diagonals. The length of LN is 30 centimeters. What is the length of LP?

A.) 14
B.) 15
C.) 20
D.) 30

Answers

Answer:

The correct answer to the following question will be Option B (15).

Step-by-step explanation:

The given values is:

LN = 30 cm

Although the diagonals of that same rhombus bisects or bend one another, this implies that P seems to be the midpoint of both the LN.

So that,

⇒  [tex]LP=\frac{1}{2}\times LN[/tex]

On putting the estimated value, we get

⇒        [tex]=\frac{1}{2}\times 30[/tex]

⇒        [tex]=15[/tex]

Therefore, Option B seems to be the appropriate one.

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