Prove that : (Cos285 + Cos 345 ) ÷ (Sin435- Sin 375 ) = root3​

Answers

Answer 1

Answer:

you have mula or gula

Step-by-step explanation:

what do you have mula or gula


Related Questions

factorise:
k² - 2k - 8
with explaining the steps

Answers

Answer:

( k-4)(k+2)

Step-by-step explanation:

k² - 2k - 8

What 2 numbers multiply to -8 and add tp -2

-4*2 = -8

-4+2 = -2

( k-4)(k+2)

Refer to the attachment for steb-by-step explanation.

a circle shown below, m AC = 89° and m BC = 153°. Determine m∠ACB.

Answers

Answer:

m<ACB  = 59degrees

Step-by-step explanation:

To get <ACB, first we need arcAB

arcAB + arcAC + arcBC = 360

arcAB + 89 + 153 = 360

arcAB+242 = 360

arcAB = 360 - 242

arcAB = 118

Also, m<ACB = 1/2arcAB

m<ACB = 1/2*118

m<ACB  = 59degrees

Factorise fully 2a^2b + 6ab^2​

Answers

Answer:

Step-by-step explanation:

2a^2b + 6ab^2

take common

2 can be taken common because there is 2in first term and there is 6 in second term and 2 can exactly divide 6 .there is a*a in first term and only a in second term so u can take a as common.There is only b in first term and b*b in second term so take u can take b as common.

total we can take

2ab as common.So,

2ab(a+3b)

therefore 2ab(a+3b) is the required answer.

The required factorization is  2ab(a+3b).

What is factorization?

Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.

Expanding brackets in reverse is a procedure known as factorizing.

Fully factorizing an equation entails putting it in brackets by eliminating the components with the highest common denominator.

Finding the highest common factor between all the terms in the phrase is the easiest technique to factorize.

We have, 2a²b + 6ab²

Here,

we have the highest common factor 2ab,

So, 2ab (a + 3b)

Therefore, 2ab(a+3b) is the required factorization.

To learn more about the factorization;

https://brainly.com/question/28187946

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can someone help please...

Answers

Answer:

the answer is median (b)

the ratio of blue to yellow paint when mixed to make green paint is 3:2 what percentage of the green paint is made from yellow paint

Answers

Answer:

40%

Step-by-step explanation:

3 + 2 = 5

Since 2 is the ratio of yellow paint, 2/5 x 100 = 40%

Hope this helped!

Please help. Thank you. (30 points included) (Shown work)

Answers

Answer:

True

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees (straight line). *5 degrees + x create a straight line.

find out the arc length of DG and the measure of angle DHG

Answers

Answer:

is it timed, because i need like 20 mins to answer this question.

Step-by-step explanation:

What is the volume of the cylinder shown below?
15
10

Answers

Answer:

option B

Step-by-step explanation:

Given r = 10 , h = 15

[tex]Volume = \pi r^2 h = \pi \times 10^2 \times 15 = \pi \times 100 \times 15 = 1500 \pi \ cubic \ units[/tex]

HELP ASAP PLS I NEED HELP

Answers

Answer:

B

Step-by-step explanation:

r^2 is 0.9997, and after 10 years it'll be 95660

(a)Find the commission on Rs65 000 if 4% commission is paid.
(b)On selling an article for Rs2700,a shopkeeper made a profit of 8%.find cost price of the article.

Answers

Answer:

Step-by-step explanation:

commission amount = 4 % of Rs 65000

=4/100 * 65000

=260000/100

=2600

therefore commision amount is Rs 2600

SP od an article = Rs 2700

profit %=8%

let CP be x

SP=CP + profit% of CP

2700=x + 8/100 *x

2700=100x + 8x/100

2700*100 = 108x

270000=108x

270000/108=x

2500=x

therefore cost price (CP) of an article is Rs 2500.

can someone help please...

Answers

Answer:

C. 8

Step-by-step explanation:

You double the distance of the x coordinate (ignore the sign in front of it) because you reflect it across the y-axis. So your math should look like this:

4*2= 8

Find the value of x in the isosceles triangle shown below​

Answers

Answer:

x²+4² =8²

x²+16 =64

x² =64-16.

x² =48

x. =√48

answer is option D

Answer:

D

Step-by-step explanation:

The segment x is a perpendicular bisector and divides the triangle into 2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles, then

x² + 4² = 8²

x² + 16 = 64 ( subtract 16 from both sides )

x² = 48 ( take the square root of both sides )

x = [tex]\sqrt{48}[/tex] → D

cho số phức z thỏa mãn 2iz-5+i=i-(z-2i) tính modun của số phức w=z-1+i

Answers

Solve the given equation for z :

2iz - 5 + i = i - (z - 2i )

2iz - 5 = 2i - z

(2i + 1) z = 2i + 5

z = (2i + 5)/(2i + 1)

z = (2i + 5)/(2i + 1) × (2i - 1)/(2i - 1)

z = (4i ² + 10i - 2i - 5) / (4i ² - 1)

z = (8i - 9)/(-5)

z = 9/5 - 8/5 i

Then

w = z - 1 + i = 4/5 - 3/5 i

Which side lengths form a right triangle?​

Answers

Answer:

[tex]\text{B. }1.5, 2, 2.5,\\\text{C. }4, 4, \sqrt{32}[/tex]

Step-by-step explanation:

All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.

Verify:

[tex]1.5^2+2^2=2.5^2\checkmark,\\4^2+4^2=\sqrt{32}^2\checkmark[/tex]

A teacher recorded the number of days her students went on vacation. Which statements describe the data? Select all that apply. Please help

Answers

Answer:

The students went on vacation for average 40 days.

The high school students went for more days than college students.

Step-by-step explanation:

The data shows number of students who went for vacation. The data class frequency shows that students who are in high school went for more days in vacation than college students. The students went for average of 40 days on vacation.

if im writing 200 post cards , and stamps are 0.36 cents a piece, how much money would 200 stamps be?

Answers

Answer:

72

Step-by-step explanation:

1 stamp costs 0.36 cents

Then, 200 post cards will cost 0.36 × 200 = 72

Answer:

$72 dollars

Step-by-step explanation:

200 x 0.36 = 72

Please help
Honestly cant understand

Answers

Answer: x=20°

Explanation: Since UTX is a diameter, it is equal to 180°. You can now set up the equation (4x+2)+x+78=180. Then solve for x.

You should get, x=20.

I. NEED. HELP! PLEASE!

Answers

Answer:

x = 2.5

Step-by-step explanation:

We know the adjacent and the opposite sides to the angle in a right triangle

tan theta = opp / adj

tan 26 = 1.2 /x

x tan 26 = 1.2

x = 1.2 / tan 26

x =2.46036461

Rounding to the nearest tenth

x = 2.5

tan tita = opp/adj

tan 26°=1.2/x

x=1.2/tan 26

x=2.46

x=2.5

PLEASE HELP ME WITH THIS

Answers

-3 is the 3rd box and you go down 3 spaces then over 2

Encuentra el volumen de un prisma rectangular que mide 14m de largo y 10 m de ancho 34m de altura.

Answers

4,760m^3
14x10x34
140x34=4760

the sum of the squares of two consecutive integers is 481. Find the integers​

Answers

Answer:

{15, 16} or {-15, -16}

Step-by-step explanation:

Quick solution:

take half of the sum (approx. 240), sqrt(240)=15.5

So the numbers are 15 and 16.  and also the negative equivalents since squares are always positive.

Exact method:

Let

x=smaller integer,

x+1 = next integer.

sum:

x²⁺(x+1)^2 = 481

2x^2 + 2x + 1 = 481

2x^2 + 2x - 480 = 0

x^2 + x -240 = 0

x = 15 or x = -16

so the integers are

either

{15, 16} or {-15, -16}

The sum of the squares of two consecutive integers is 481 will be -15 & -16 and 15 and 16.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Successive numbers are those that follow one another continually, from lowest to biggest. For instance, the numbers 1, 2, 3, 4, 5, and so on are all consecutive.

Assume 'x' is the number and the successive number is (x + 1).

The sum of the square of the consecutive number is 481. Then the equation of the number is given as,

x² + (x + 1)² = 481

Simplify the equation, then we have

x² + (x + 1)² = 481

x² + x² + 2x + 1 = 481

2x² + 2x - 480 = 0

x² + x - 240 = 0

x² + 16x - 15x - 240 = 0

x(x + 16) - 15(x + 16) = 0

(x + 16)(x - 15) = 0

x = 15, -16

Then the successive numbers are given as,

x + 1 = 15 + 1

x + 1 = 16

x + 1 = - 16 + 1

x + 1 = - 15

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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How many quarters are there in 5 and 3/4

Answers

Answer:

23

Each 1 has 4 quarters

5*4=20

20+3

23

Step-by-step explanation:

Which graph shows the solution to the system of linear inequalities?
x+5y>5
Y<2x+4
PLEASE HELP!!!

Answers

Answer:

x+5y >5 => red

y< 2x+4 => blue

Step-by-step explanation:

you can substitute x and y in each inequality to determine


s
is inversely proportional to
t
.
When
s
=
0.5
,
t
=
7

Work out
s
when
t
=
0.8

Answers

Answer:

4.375

Step-by-step explanation:

s=1/t

s=k/t

0.5=k/7

k=7x0.5=3.5

s=3.5/0.8

s=4.375

pls help me i need help asap 30!! points pls help on all 4 questions

Answers

Answer:

b

d

a

d

Step-by-step explanation:

Using the equation
[tex] \sqrt{x + 7} + 5 = x[/tex]
, are both x = 2 and x = 9 solutions or are one/both of them extraneous solutions? Explain.​

Answers

Given:

The equation is:

[tex]\sqrt{x+7}+5=x[/tex]

To find:

Whether [tex]x=2[/tex] and [tex]x=9[/tex] both are solutions or one/both of them extraneous solutions.

Solution:

We have,

[tex]\sqrt{x+7}+5=x[/tex]

Subtract 5 from both sides.

[tex]\sqrt{x+7}=x-5[/tex]

Taking square on both sides, we get

[tex]x+7=(x-5)^2[/tex]

[tex]x+7=x^2-10x+25[/tex]

[tex]0=x^2-10x+25-x-7[/tex]

[tex]0=x^2-11x+18[/tex]

Splitting the middle term, we get

[tex]x^2-2x-9x+18=0[/tex]

[tex]x(x-2)-9(x-2)=0[/tex]

[tex](x-2)(x-9)=0[/tex]

[tex]x=2,9[/tex]

Now, substitute [tex]x=2[/tex] in the given equation.

[tex]\sqrt{2+7}+5=2[/tex]

[tex]\sqrt{9}+5=2[/tex]

[tex]3+5=2[/tex]

[tex]8=2[/tex]

This statement is false because [tex]8\neq 2[/tex]. So, 2 is an extraneous solution.

Substitute [tex]x=9[/tex] in the given equation.

[tex]\sqrt{9+7}+5=9[/tex]

[tex]\sqrt{16}+5=9[/tex]

[tex]4+5=9[/tex]

[tex]9=9[/tex]

This statement is true. So, 9 is a solution of given equation.

Therefore, 2 is an extraneous solution and 9 is a solution of given equation.

Hey!! Can you guys help me !!

No links!!
No spams!!

Ahmed paid $34 000 for a car. His car decreased in value by 40% at the end of the first year. The value at the end of the second year was 10% less than the value at the end of the first year. . Calculate the value of Ahmed's car after 2 years .​

Answers

First step:

40% of 34 000

40/100 * 34 000 = 13 600

subtract : 34000 - 13 600 = 20 400

Second step:

10% of 20 400

10/100 * 20 400 = 2040

subtract : 20 400 - 2040 = $ 18 360

Final Answer = $ 18 360

PLEASE PLEASE PLEASE HELP ME!!! IM SO CLOSE TO GETTING THE SCORE I NEED

explaining your answer = brainliest

The radius of a circle is 2 kilometers. What is the area of a sector bounded by a 36° arc?

answer has to be in SIMPLEST form

Answers

Answer:

[tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]

Step-by-step explanation:

In this problem, we will use the following formula:

A = [tex](\frac{C}{360}) \pi r^{2}[/tex] , where r = radius & C = central angle

Step 1: Plug in for C and r.

A =  [tex](\frac{C}{360} )\pi r^{2}[/tex]A = [tex](\frac{36}{360})\pi 2^{2}[/tex]

Step 2: Solve.

A = [tex](\frac{1}{10})4\pi[/tex]A =  [tex]\frac{2}{5} \pi[/tex]

Final answer (simplified & exact):  [tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]

Sorry it took so long to complete... kinda started with the wrong answer... But I hope this helps and that you have a great rest of your day!

These two lines represent a system of equations.
What is the solution to that system?
Help ?

Answers

Answer: (-1,1)

Step-by-step explanation: Look at the intersection point of the lines

Two cables are attached to a 30-foot wall and a 22-foot wall. If the tie down for the cables is located in the center of a 40-foot wide alley between the two walls, what is the angle \thetaθ that is formed between the cables? Round your answer to the nearest whole number.

Answers

Answer:

76°

Step-by-step explanation:

Applying trigonometry :

Angle x ;

Tan x = opposite / adjacent

Tan x = (30/20)

x = tan^-1(30/20)

x = 56.31°

Angle y;

Tan y = opposite / adjacent

Tan y = (22/20)

x = tan^-1(22/20)

x = 47.73°

The angle θ ;

Sum of angles in a straight line = 180

56.31 + 47.73 + θ = 180°

θ = 75.96°

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