I cant solve this question :(

I Cant Solve This Question :(

Answers

Answer 1

Answer:

a) tan x = 1

b) tany = 4 + tanx /2tanx - 3

Step-by-step explanation:

a) Given the equation

2(sinx + 2cosx) = sinx +5cosx

Open the bracket

2sinx + 4cosx =  sinx +5cosx

Collect like terms

2sinx - sinx = 5cosx - 4cosx

sinx = cos x

Divide both sides by cos x

sinx/cosx = cosx/cosx

tanx = 1

Hence the value of tan x is 1

b) Given the expression

sinxcosy + 3cosxsiny = 2sinxsiny - 4cosxcosy

We are to express tany in terms of tan x

Divide through by cosx cosy

sinxcosy/cosx cosy + 3cosxsiny/cosx cosy = 2sinxsiny/cosx cosy - 4cosxcosy/cosx cosy

sinx/cosx + 3siny/cosy = 2tanxtany - 4

tanx +3tany =  2tanxtany - 4

Collect like terms

tanx - 2tanxtany = -4 - 3tany

- 2tanxtany+3tany = -4 - tanx

tany (-2tanx+3) = -4 - tanx

tan y = -4 - tanx/-2tanx+3

tan y = -(4+tanx)/-(2tanx-3)

tany = 4 + tanx /2tanx - 3

Hence the function of tany in term of tan x is tany = 4 + tanx /2tanx - 3


Related Questions

Andre led his baseball league in home runs last year. This year he hit 25% fewer home runs than he did last year.

If y represents the number of home runs Andre hit last year, which two of the following expressions can be used to calculate the number of home runs he hit this year?

Answers

Answer:

0.25y

Step-by-step explanation:

How does the percent equation relate proportional quantities?​

Answers

Answer:

Use cross product to determine if the two ratios form a proportion. Here we can see that 2/16 and 5/40 are proportions since their cross products are equal. Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.

Step-by-step explanation:

WHAT IS THE ANSWER BECAUSE I POSTED THIS LAST TIME AND NO-ONE KNEW PLZ

Answers

Answer:

I think Paolo read more

Step-by-step explanation:

Because 35 percent of 40 equals 14, and Kamesh read 12 so Paola has read 2 more books than Kamesh.

Is (3, 1) a solution to the equation y = 3x?

Answers

Answer:

no

Step-by-step explanation:

it does not fall on the line

In one week the price of gasoline rose from $1.71 to $2.15 at BJs. What is the percent of change?

Answers

Answer:

25.731% increase

Step-by-step explanation:

(V2−V1)|V1|×100

=(2.15−1.71)|1.71|×100

=0.441.71×100

=0.25731×100

=25.731%change

=25.731%increase

Answer:

.44=44%

Step-by-step explanation:

just subtract both numbers and you get how much they added but then again it depends so my answer my not be right but give it a try if you like

Which point on the graph represents they-intercept

Answers

Answer: W is the correct answer just for clarification.

Step-by-step explanation:

ANSWER: W
point W is where the line intersects the y axis
and that makes it the y-intercept

Best answer gets brainliest hurry ASAP

Answers

Answer:x=18

Step-by-step explanation:

x=\frac{36}{2}

question;
3^n-3^n-1 ÷3^n+1+3^n


plz full explaination !if I got answer then brainleast if I get nonsense answers I will report !

plz fast!!!!!​

Answers

Answer:

okay so I am assuming we are dividing okay so here is how we will do it

here are the top and bottom values written more easily

3^n -3^n-1

3^n+1 +3^n

so first we can cancel out the 3^n values then get left with this

3^n-1

3^n+1

now it depends on the instructions but you can leave it like this or you can subtract their powers to get

3^n-2

Step-by-step explanation:

Find the value of a3 + 3b2 when a = 2 and b = -2

Answers

Given:

a = 2 and b = -2.

To find:

The value of [tex]a^3+3b^2[/tex].

Solution:

We need to find the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2.

Substituting a = 2 and b=-2 in [tex]a^3+3b^2[/tex], we get

[tex](2)^3+3(-2)^2[/tex]

[tex]=8+3(4)[/tex]

[tex]=8+12[/tex]

[tex]=20[/tex]

Therefore, the value of expression [tex]a^3+3b^2[/tex] at a = 2 and b = -2 is 20.

What is the graph of the function rule y=1/3x−1

Answers

The answer is B
the y-intercept is -1 so it will go through-1 on the y-axis.
the slope is 1/3 so rise or run

ANYONE can help me out pleaseee

The number is scientific notation is written as a decimal. Click on the position of the decimal?


9.04 x 10 ^1


00009040000

Answers

Answer:

.00009494949

Step-by-step explanation:

this may be wrong

Tyler has a baseball bat that weighs 44 ounces Find it’s weight in kilograms

Answers

Answer:

1.25 (2 decimal places)

Step-by-step explanation:

Divide the ounces by 35.274

Your answer is: 1.25

help with this homework thanks

Answers

Answer:

240

Step-by-step explanation:

3 times 80 is 240 and 7 times 80 is 560. added together is 800. 800 is the total amount of people, so it works.

I need to drag the AB,BC,CA or the numbers to the right place pls help

Answers

Answer:

I think option 3 hope it helps

Step-by-step explanation:

Slope of a line with one point at (2,1) and another at (5,3)

Answers

Slope= y2-y1/x2-x1
Slope= 3-1/5-2
Slope=2/3

Answer:

Step by step in image below. Hope this helps

Step-by-step explanation:

2(x + 14) = 40
Can you please do all the steps of solving this?

Ex:
8(7+1)3=192

8 x (7+1) x 3
8
8x8=64
64x3=192
total=192

Answers

Given:

The equation is

[tex]2(x+14)=40[/tex]

To find:

The solution of the given equation.

Solution:

We have,

[tex]2(x+14)=40[/tex]

Using distributive property, we get

[tex]2(x)+2(14)=40[/tex]

[tex]2x+28=40[/tex]

Subtracting 28 from both sides.

[tex]2x=40-28[/tex]

[tex]2x=12[/tex]

On dividing both sides by 2, we get

[tex]x=6[/tex]

Therefore, the solution of the given equation is x = 6.

Evaluate the expression 2n - 6 if n = 16.

Answers

Answer:

[tex]26[/tex]

Step-by-step explanation:

[tex]2n-6[/tex]

Given that:

[tex]n=16[/tex]

To evaluate the expression, we must simply substitute the given value of [tex]n[/tex], which is [tex]16[/tex], for [tex]n[/tex]:

[tex]2(16)-6[/tex]

Multiply:

[tex]32-6[/tex]

Subtract:

[tex]26[/tex]

-

To check your work, simply set the given expression equal to our solution, [tex]26[/tex]:

[tex]2n-6=26[/tex]

Add [tex]6[/tex] to both sides of the equation:

[tex]2n=32[/tex]

Divide both sides of the equation by the coefficient of [tex]n[/tex], which is [tex]2[/tex]:

[tex]n=16[/tex]

Since it matches the given value of [tex]n[/tex], our solution is correct!

Answer:

26

Step-by-step explanation:

This is the answer because:

1) First, we have to substitue the value that stand for n into the equation:

2(16) - 6

2) Next, we have to follow the order of operations in order to find the answer:

1. 2 x 16 = 32

2. 32 - 6 = 26

Therefore, the answer is 26.

Hope this helps! :D

a $320 dollar suit is marked down by 30%, find the sales price

Answers

Answer:

$224

Step-by-step explanation:

320(0.3) =96

320-96 = 224

Answer:

The answer is $96.

Step-by-step explanation:

Use friendly precnents and do 320/10=32 then you do 20/10 3 times and then you add them together and you get the answer.

On Friday 40% of the customers who bought groceries at a H.E.B. Also bought a bag of ice. There were 160 customers who bought groceries. How many of these 160 customers bought a bag of ice?

Answers

Answer:

The answer is 64 customers

Step-by-step explanation:

We are told that 40% of the customers who bought groceries also bought a bag of ice.

The total customers is 160 customers

Required.

the number of customers that bought a bag of ice?

Step two:

Let us compute what 40% will amount to

40/100*160

=0.4*160

=64

Hence 64 customers bought rice

1) Find Area of this polygon 4 cm I 5cm 1 cm 7 cm and the other one

Answers

For the top problem, you split it to make two rectangles and so you have 4 times 5 =20 plus 1 times 3 so the answer is 23cm squared

Please help me out.​

Answers

Answer:

i think its the 3rd one or the second one........

Step-by-step explanation:

if im wrong pllzzzzz dont report me....

Write an equation of the line in slope-intercept form.

f(3)=-2, f(0)=1

Answers

Answer:

The equation of the line in slope-intercept form is y = -x + 1

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope of the lineb is the y-intercept ⇒ value y at x = 0

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)

f(3) = -2 is the point (3, -2)

f(0) = 1 is the point (0, 1)

∴ x1 = 3 and y1 = -2

∴ x2 = 0 and y2 = 1

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{1--2}{0-3}[/tex] = [tex]\frac{1+2}{-3}[/tex] = [tex]\frac{3}{-3}[/tex]

m = -1

→ Substitute it in the form of the equation above

∵ y = -1(x) + b

∴ y = -x + b

∵ b is the value of y at x = 0

∵ at x = 0, y = 1

b = 1

∴ y = -x + 1

The equation of the line in slope-intercept form is y = -x + 1

Write an expression for the area of this rectangle, multiplying out your answer

Answers

(x+3) x (x+2)

Step-by-step explanation:

it should be *(x+3) x (x+2)* because area of rectangle = length x breadth

40 is what percent of 160?

Answers

Answer:

25

Step-by-step explanation:

percentage calculator 40 is what percent of 160=25;)

Answer:

40/100×160

Step-by-step explanation:

2/5×160

320/5

64

I will give you brainlest plzzzz helppp!!!

Answers

Answer:

∠GEF = 25

Step-by-step explanation:

Here, we want to find the value of the marked angle

Please check the attachment for the diagrammatic representation of the triangle

Mathematically, the sum of opposite interior angles equals the exterior angle

We can have this sum as follows;

∠EFG + ∠GEF = ∠FGH

Thus;

2x + 1 + x + 19 = 6x + 2

3x + 20 = 6x + 2

6x-3x = 20-2

3x = 18

x = 18/3

x = 6

Now , substitute x into the ∠GEF

That will be;

6 + 19 = 25

Which shape has four congruent sides and two sets of parallel sides?

quadrilateral
rectangle
parallelogram
rhombus

Answers

It’s a Parallelogram

Answer:

The other prson is right. Its parallelogram

Step-by-step explanation:

Find 30% of 320. Explain all your work

Answers

x/320 times 30/100 so you multiply 320x30 and get 9,600 and divide it by 100 and get 96.

ahh help A, B, and C please

Answers

Answer:

a= -11

b= -1/5

c= 3 1/8

Step-by-step explanation:

a- a negative plus a negative always equal a negative

Answer:

a. -11

b. -1/5

c. -25/8

Step-by-step explanation:

a. -5 - 6

= -11

b. 2/5 - 3/5

= 1/5

c. -4(1/4) - ( 1(1/8))

= -17/4 - 9/8

= -34/8 - 9/8

= -25/8

Help I need answers plzplzplz

Answers

A is the answer i think :)

Answer:

(2,0) , (4,-20) and (-1,-1)

Step-by-step explanation:

Plz help and I will give brainliest

Answers

Answer:

6 True False True False

7 41.979

Step-by-step explanation:

6. 24 and 18. 24 is 2*2*2*3 and 18 is 3*3*2

Common is 6.

so a is correct.

B is wrong because they have to be the same

C is correct.

D is wrong because 48 does not go into 18 easily.

12.329+10.45+19.2

41.979

Hope this helps :D

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