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Question 1) Given 15 cot A = B. Find sin A and sec A .



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The solution to the given equation is 4 and -4.

Fractions are the numerical values that are a part of the whole.

A whole can be an object or a group of objects.

The given equation is;

[tex]\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}[/tex]

A fraction is used to represent the portion/part of the whole thing.

The solution of the fraction is determined in the following steps given below.

[tex]\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}\\\\\rm \dfrac{y(y+4)-4(y-4)}{(y - 4)(y+4)}= \dfrac{32}{(y-4)(y+4)}\\\\y^2+4y-4y+16=32\\\\y^2=32-16\\\\y^2=16\\\\y=\pm 4[/tex]

Hence the solution to the given equation is 4 and -4.

Learn more about fractions here;

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Answer:

A Edge 2022

Step-by-step explanation:

Its simple, really. The answer would be 3,500 divided by 5. The answer would be 700.

Answer:

The mean of texas will decrease. The median of FL will increase. The standered deviation will stay the same.

Step-by-step explanation:

Answer:

The mean of texas will decrease.

The median of FL will increase.

The standard deviation will stay the same.

IQR for Florida's is 310,349 and Texas's is 42,369.

Step-by-step explanation:

IQR iss Q3-Q1

Answer:

40°

Step-by-step explanation:

Answer:

40°

Step-by-step explanation:

if the measurement of the two angles combined is 75 and one of the angles is 35, we can subtract 35 from 75 to get 40, which should be the answer for n, and you can check it by adding 40 and 35 to get 75, the total of both angles

The completed table for the rule y = x+6 for given values of x (2,0,4) will have the corresponding values of y as 10, 8, 12 respectively.

Function is a type of relation, or rule, that maps one input to specific single output.

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

For this case, we're given the rule y = x + 8

The table given is:

 x     y

 2

 0

 4

Evaluating 'y' for the given values of x from the table according to the rule 'y  = x + 8', we get:

y = x + 8

y = 2 + 8

y =10

y = x + 8

y = 0 + 8

y =8

y = x + 8

y = 4 + 8

y =12

Thus, the completed table would be:

 x     y

 2     10

 0      8

 4      12

Thus, the completed table for the rule y = x+6 for given values of x (2,0,4) will have the corresponding values of y as 10, 8, 12 respectively.

Learn more about function here:

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Answer:

this should help ya ........

x=30

Hope it helps.

Do comment if you have any query.

Answer:

Step-by-step explanation:

finding x°:

since 83° and x° are alternate angles:

x° = 83°

also angleABC is x°

The resulting value of k is 12/7.

Fractions are the numerical values that are a part of the whole. A whole can be an object or a group of objects.

The steps below are presented in order to arrive at the value of k of the given equation.

First, multiply both sides of the equation by the variable k since the left-hand side of the equation has it in the denominator.

The solution of the equation will be;

[tex]\rm \dfrac{k+12}{k}(k) = 8(k)\\\\\dfrac{k+12}{k}=8\\\\k+12=8k\\\\8k-k=12\\\\ 7k=12\\\\k =\dfrac{12}{7}[/tex]

Hence, the resulting value of k is 12/7.

To know more about fractions click the link given below.

https://brainly.com/question/3174308

Answer:

A

Step-by-step explanation:

7s-3s-2t+7t-4st

4s+5-4st

Answer:

There is nothing there lol, If you attach something i may be able to help :)

Step-by-step explanation:

Answer:

2880 packages/min

Step-by-step explanation:

48 × 60 = 2880

Answer:

2,880 packages per minute

Step-by-step explanation:

Given:

60 seconds per minute

48 packages/second

Solve:

48 package/sec x 60 sec = 2,880 packages/min

Hope this helps!

Answer:

I think it's 10 or 10.5 not sure

Step-by-step explanation:

5/11 is the final answer.

When events are overlapping

formula: P(A or B) = P(A) + P(B) - P(A and B)

=======

P(A or B) = 4/11 + 3/11 - 2/11

P(A or B) = 7/11 - 2/11

P(A or B) = 5/11

Answer:

5/11

Step-by-step explanation:

Given:

We can construct a Venn diagram to help answer this question (see attached).

Place 2/11 in the overlapping part.  Then calculate the remaining probabilities:

P(A) - P(A ∩ B) = 4/11 - 2/11 = 2/11

P(B) - P(A ∩ B) = 3/11 - 2/11 = 1/11

P(A' ∩ B') = 1 - 5/11 = 6/11

So P(A ∪ B) = 2/11 + 2/11 + 1/11 = 5/11

Answer:

( x + 4 ) ( x + 1 )

Step-by-step explanation:

x² + 5x + 4

= x² + 1x + 4x + 4

= x ( x + 1 ) + 4 ( x + 1 )

= ( x + 4 ) ( x + 1 )

Hence, factorised.

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-3)}}}\implies \cfrac{-3}{4+3}\implies -\cfrac{3}{7}[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's find the equivalent expressions ~

#1. PROBLEM

[tex]\qquad \tt \dashrightarrow \:11x - 4x + 10x[/tex]

[tex]\qquad \tt \dashrightarrow \:21x - 4x[/tex]

[tex]\qquad \tt \dashrightarrow \:17x[/tex]

#2. PROBLEM

[tex]\qquad \tt \dashrightarrow \:2(1 + 8y)[/tex]

[tex]\qquad \tt \dashrightarrow \:(2 \times 1) + (2 \times 8y)[/tex]

[tex]\qquad \tt \dashrightarrow \:2 + 16y[/tex]

Answer:

-579

Step-by-step explanation:

The sum of two given algebraic expressions is (9x-4)/(x²-4). Therefore, option C is the correct answer.

Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.

The given algebraic expressions are 7x/x²-4 and 2/x+2

Here, 7x/x²-4 can be written as 7x/(x+2)(x-2)

Now, 7x/x²-4 + 2/x+2

= 7x/(x+2)(x-2) + 2/x+2

= (7x+2(x-2))/(x+2)(x-2)

= (7x+2x-4)/(x²-4)

= (9x-4)/(x²-4)

Therefore, option C is the correct answer.

Learn more about the addition of algebraic expressions here:

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Answer:

1,4,5,8,14

Step-by-step explanation:

count up and see which ones come up first

Answer:

1/32

Step-by-step explanation:

1st step:  1/4 divided by 8, which is 1/4 divided by 8/1

Then for the 2nd step, you have to find the reciprocal of the 2nd fraction, so you just reverse it

2nd step:  1/4 X 1/8

3rd step.  1X1/4X8 = 1/32

You can also think of it like this.  He started with 4 pieces.  Each piece was then divided into 8 parts.  So 8X4=32 is the total number of pieces.  He's only eating 1 of those, so he's only eating 1/32

Answer:

The scores from Mrs. Rijo’s class are the closest to the class mean.

Step-by-step explanation:

Just took the test

Answer:

11

Step-by-step explanation:

[tex]since \: mean = \frac{sum \: of \: observations}{number \: of \: observations} \\ mean = \frac{110}{10} = 11 \\ therefore \: the \: mean = 11[/tex]

Answer: 161

[3×2^5+13×(−2)]+7[8−(4−9)]

Calculate 2 to the power of 5 and get 32.

3×32+13(−2)+7(8−(4−9))

Multiply 3 and 32 to get 96.

96+13(−2)+7(8−(4−9))

Multiply 13 and −2 to get −26.

96−26+7(8−(4−9))

Subtract 26 from 96 to get 70.

70+7(8−(4−9))

Subtract 9 from 4 to get −5.

70+7(8−(−5))

The opposite of −5 is 5.

70+7(8+5)

Add 8 and 5 to get 13.

70+7×13

Multiply 7 and 13 to get 91.

70+91

Add 70 and 91 to get 161.

161

Answer:

Step-by-step explanation:

Use PEDMAS

[3 *2⁵ + 13*(-2) ] + 7[8-(4-9) ] = [3*2⁵ + 13*(-2)] +7[ 8 - (-5) ]  

{calulate the inner most parentesis (4- 9 = -5)}

                                             = [3*32 + 13*(-2) ] + 7* [ 8+5]

{Find the exponent 2⁵ = 32}

                                              = [ 96 + (-26) ] + 7* 13

{Here 3 & 32 aree multiplied & 13 and (-2) are multiplied and  8 is added to 5}

                                               = 70 + 91

                                              = 161

-7^2 = -(7 x 7) = -49

---Because the negative is on the outside and there are no parenthesis, the product will be negative

-49 - - 1 = -49 + 1 = -48

---Subtracting a negative is the same thing as adding a positive!

Answer: -48

Hope this helps!

Answer:

y = 8x + 5

y = 8 * 6 + 5

y = 48 + 5

y = 53