1) Given A = {1, 2, 3, 4, 5 }; B = {2,4,6,83 2,4,6,8} Find A∩B, A-B

2) Is it true to say that sin ( A+B) = -sinA + sinB

3) prove that ( tan theta - sin theta ) / ( tan theta + sin theta ) = ( sec theta - 1 ) / ( sec theta + 1 ) ​

Answers

Answer 1

Answer:

A∩B = 2,4

A-B = 1,3,5

sin (A+B) = sin(A)cos(B)+cos(A)sin(B)

Step-by-step explanation:

A intersects U means the numbers that are coming to both A and U

set a minus set b of the numbers that are not common to B

multiply the numerator and the denominator by csc(x)

NOTE: I substituted x for theta as I don't have theta on my phone

[tex] \frac{ \csc(x) }{ \csc(x)} \frac{ \tan(x) - \sin(x) }{ \tan(x) + \sin(x) } = \frac{ \sec(x) - 1}{ \sec(x) + 1} [/tex]

[tex] \frac {\csc(x)}{\csc(x)} \frac {\frac ({\sin(x)}{\cos(x)}-\sin(x)} {\frac ({\sin(x)}{\cos(x)} + \sin(x)}) [/tex]


Related Questions

5n = (n + 3) n+ (n + 3) (−8)
how would this be in a verbal sentence?

Answers

Answer: Five times a number is equal to the addition of three more than that number times the number itself and (-8) times 3 more than that number.

If x = 4 and y = 7, evaluate the - following expression: 20 +2(3y - 4x)​

Answers

Answer:

110

Step-by-step explanation:

Substitute x = 4 and y = 7

20 + 2 (3y - 4x)

= 20 + 2 [(3 x 7) - (4 x 4)]

= 20 + 2 (21 - 16)

= 20 + 2 (5)

= 22 (5)

= 110

Answer:

30 (always use .P.E.M.D.A.S.)

Step-by-step explanation:

20+2(3y-4x)

20+2(21-16)

20+2(5)

20+10

30

Which button is the square root one and how to use it

Answers

The square root is above the [tex]x^2[/tex] button on the left.  (see picture)

To use it you first push "2nd" on the top left, and then the square root/[tex]x^2[/tex] button, and then enter in what's under the square root.

Which offer results in the cheapest cake: 8 cakes for £3.20 or 5 cakes for £1.90. Explain your answer​

Answers

Answer:

5 cakes for 1.90 (i dont have pounds symbol)

Step-by-step explanation:

To find the cheapest cake, divide both numbers (3.20, 1.90) by the number of cakes (8, 5)

3.20 ÷ 8 = 0.4 per cake

1.90 ÷ 5 = 0.38 per cake

A female flea can consume about 1.4×10^-5 liter of blood per day .If a dog has 100 female fleas ,how much blood do the fleas consume per day? Write your answer in standard form.

Answers

7162525):! I’m going home what I

A 354​-inch board is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.

Answers

Answer:

54 inches

Step-by-step explanation:

Solve for the volume of this irregular polygon. Show your work
16 cm
16 cm
5 cm
6 cm
24 cm???? HELP

Answers

Answer:

36,864

Step-by-step explantion:

PLEASE HELP!! THIS IS CONFUSING!! Given f (x) = 2/3x -1, complete Parts A and B. Part A: Using the table provided, create five points to demonstrate that for the function f (x) = 2/3x -1, there is exactly one output value for each corresponding input value. In your final answer, include all calculations and the completed table. Part B: On a separate sheet of paper, use the points created in Part A to graph the function f (x) = 2/3x -1. Label the values on the x - and y-axes, and all points on the graph.

Answers

You did not provide a table however I used
x y
0 -1
3 1

(I tried to make a table above with x,y)

The x intercept is (3/2, 0)
The y intercept is (0, -1)
Slope 2/3
See pic for graph

1. Choose the correct label for each feature of the diagram from this list.
Write its letter in the correct place in the diagram. (Not all the letters are needed.)
A The line y = 0
B
The line x = 0
с
The line x = 6
shift
D The line y=6
E The origin
10.94492
F
The line y=zx
G The line x + y = 9
H The line y=x+6
I
The line y=x-6
J
The solution of the simultaneous equations x + y = 9 and y= *
K The solution of the simultaneous equations x + y = 9 and y= 2x
2. Which point is on the line y = 6 and on the line x = 6?
3. Write the equation of any straight line that goes through the point (3,6).

Answers

Answer:

Step-by-step explanation:

evaluate the expression with steps please

Answers

Answer:

[tex] |8( - 2)(3) - 7(7) + 10| \\ = | - 48 - 49 + 10| \\ = | - 97 + 10| = | - 87| \\ = 87[/tex]

If anything is wrong and the answer to x-coordinate of vertex

Answers

Answer:

................hfgmehshshdhdjwieir

The seventeen students on the Math Team want to raise $500 to buy practice books. They have already raised $234.63. If each student raises the same amount, how much more money must each student raise?

Answers

Answer:

Roughly $29.50 dollars.

Step-by-step explanation:

To find the answer you would

500 ÷ number of students

to find how much every student should raise.

500 ÷ 17 = 29.41

If we round out to make it simpler, each student must raise $29.50.

=
If a = 9 b = 10 and c =
5, what is the value of
2ab-c.?
1

Answers

Answer:

[tex]2ab - c \\ 2 \times 9 \times 10 - 5 \\ 18 \times 10 - 5 \\ 180 - 5 \\ = 175[/tex]

pls answer as soon as possible i really need help. thanks : (

Answers

Answer:

I assume h(x)

Step-by-step explanation:

well it has the highest value for the number 100 is multiplied by.

Order the fractions from least to greatest

Answers

1/4, 1/2, 2/3, 5/6 is the order

Answer:

1/4, 1/2, 2/3, 5/6

Step-by-step explanation:

Hope this helped please mark be brainliest

Can soomeone help me on this one too

Answers

Answer:

70°

Step-by-step explanation:

An euclidean triangle (a triangle on a straight plane) has sum of three angles equal to 180°.

When we talk about a triangle, we usually talk about an euclidean one.

There are also a non-euclidean triangles which are a triangle on circular plane which has sum of angles above 180° and one that is a hyperbolic triangle version which has sum below 180°.

Back to the question, since we know that the triangle is an euclidean one and thus has the sum equal 180°.

x+20+40+2x-30 = 180

Combine like terms:

3x+30=180

Subtract both sides:

3x+30-30=180-30

3x=150

Divide both sides by 3.

3x/3 = 150/3

x = 50

Since we want to find angle B which has measure of 2x-30, substitute x = 50 in 2x-30.

2(50)-30 = 100-30 = 70

Therefore angle B is 70°

Help please!!!!!!!!!!!!

Answers

Answer:

your answer is as follows

Step-by-step explanation:

5x+20=3x+60

2x=40

x=20

(equating the slopes)

For acute triangle XYZ below, can you find the tangent ratio of angle rº?

Answers

Answer:

hold up lemma check

Step-by-step explanation:

if im corret it would probably be C. which is the 3rd one

Ann made $143 for 11 hours of work.
At the same rate, how many hours of work would she have to work to make $243

Answers

Answer:

22 hours

Step-by-step explanation:

So, 143 equals eleven hours. 143 plus 143 would equal 243. So, you have two 143s which means you should multiply the 11 hours by two. 11x2 equals 22.

Select the equivalent expression (a 5⋅23 ) 3 =?

Answers

Answer:

Step-by-step explanation:

65.2

Answer:

27/125 = 0.216

Step-by-step explanation:

Exponentiation: 3/

5

^ 3 = 33/

53

= 27/

125

In other words - three fifths raised to the power of cubed = twenty-seven one-hundred twenty-fifths.

At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $44.00. Tori bought two pairs of gloves and two hats for $28.00. Solve the system to determine the prices of the hats and gloves. Group of answer choices $8.50 for a pair of gloves and $5.50 for a hat $5.50 for a pair of gloves and $8.50 for a hat $8.00 for a pair of gloves and $6.00 for a hat $6.00 for a pair of gloves and $8.00 for a hat

Answers

Answer:

$6.00 for a pair of gloves and $8.00 for a hat

Can someone help me with this

Answers

Answer:

The answer is 6, I used  PEMDAS do parenthesis first, exponents if there's any, them multiplication, division, addition, lastly subtraction. When using PEMDAS not all the problems you'll have to solve have subtraction addition multiplication, etc. But follow the order they are put in and skip the ones that aren't there.

I NEED HELP
Line a and line c are perpendicular and m<26 = (5x+7). Find the value of x.

Answers

Answer in fraction form = 83/5

Answer in decimal form = 16.6

==================================================

Explanation:

All eight angles shown are 90 degrees since lines a and c are perpendicular to each other. Perpendicular lines form right angles.

Set 5x+7 equal to 90 and solve for x

5x+7 = 90

5x = 90-7

5x = 83

x = 83/5 is the fraction form of the answer

x = 16.6 is the decimal form of the answer

Answer:

83/5 = 16.6

Step-by-step explanation:

5x+7 = 90

5x = 90-7     subtract 7 from both sides.

5x = 83

x = 83/5   = 16.6    

5. Domingo earns $13 dollars per hour and worked 47.5 hours that week. He is paid
double time for all hours worked over 40 hours in one week. What is his gross pay
for the week?

Answers

Answer:

$715

Step-by-step explanation:

$13 x 40 hours = $520

47.5 hours -  40 hours = 7.5 overtime hours

2 x $13 = $26 per overtime hour

$26 x 7.5 = $195

$520 + $195 = $715

Multifactorial factor: 5x^3-3x^2+3x

Answers

Answer: There are two solutions how to get the answer the factor solution and the factor by groupings solution.

Step-by-step explanation:

THE FACTOR SOLUTION

factor x out of 5x^3-3x^2 3x

X(5x^2 - 3x +3)

FACTOR BY GROUPINGS

Group of factors out the greatest common factor (GCF) then combined

X(5x^2 - 3x + 3)

I HOPE IT HELP YOU :)

please someone help me. Im giving brainliest!

Answers

Answer:

To solve the equation: First, subtract 9 from both sides of the equation. Second, divide both sides of the equation by -10

Step-by-step explanation:

We are subtracting from both sides because we need to do the inverse, and the inverse of adding 9 is subtracting it.

Same with the -10. We need to do the inverse, and the inverse of multiplying by -10 is dividing by it.

Answer:

First: Subtract 9 from both sides of the equation. Second: Divide both sides of the equation by -10

Step-by-step explanation:

because 9 is positive, to get rid of it you need to subtract it.

after than, you would get -10x = -30

you would then divide it by -10 because you need to get x by itself

x = -3

Help pls I’ll mark as brainliest!!

Answers

(d) 2 and 3 because they each have three terms.

BRAINLIEST IF U ANSWER

Answers

Answer:

180 degrees

Step-by-step explanation:

Match the side lengths of ABCDE and the angle measures of FGHIJ.

Answers

Answer: get smart

Step-by-step explanation:

Translate the sentence into an equation. The sum of 6 times a number 9 and 8 equals . Use the variable c for the unknown number.

Answers

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