All categories

2 years ago

Please help! If sin(xº)=cos(yº) find k if x=2k+3 and y=6k+7

Mathematics

1 answer:

USPshnik [31]2 years ago

7 0

answer

step-by-step explanation

the equation given is sin(x) = cos(y) with x = 2k + 3 and y = 6k + 7

substitute in 2k+ 3 for x in sin(x) and substitute in 6k + 7 for y in cos(y)

sin(x) = cos(y)

sin(2k + 3) = cos(6k + 7)

we know that sin(x) = cos(90 -x)

sin(2k + 3)

= cos(90 - (2k + 3) )

= cos(90 - 2k - 3)

= cos(87 - 2k)

substitute this into the equation sin(2k + 3) = cos(6k + 7)

sin(2k + 3) = cos(6k + 7)

cos(87 - 2k) = cos(6k + 7)

87 - 2k = 6k +7

80 = 8k

k = 10

You might be interested in

HELP 15 POINTS<br> NOT HARD <br> PLEASE

GalinKa [24]

the answer is 9.24*10^18

hope it helps!

8 0

2 years ago

A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the

GarryVolchara [31]

The bottom of the ladder is 10.5 feet away from the wall

Step-by-step explanation:

The given scenario forms a right triangle.

Where

The length of ladder will be the hypotenuse

The wall on which the window is situated will ebt he perpendicular and

The distance between the foot of ladder and the wall will be the base

So,

Hypotenuse = H = 20 foot

Perpendicular = P = 17 feet

Base = B = ?

Using the Pythagoras theorem

$H^2=P^2+B^2\\(20)^2=(17)^2+B^2\\400=289+B^2\\400-289=B^2\\B^2=111\\Taking\ square\ root\ on\ both\ sides\\\sqrt{B^2}=\sqrt{111}\\B=10.53\\Rounding\ off\ to\ the\ nearest\ tenth\\B=10.5$

The bottom of the ladder is 10.5 feet away from the wall

Keywords: Triangle, Pythagoras Theorem

Learn more about Pythagoras theorem at:

#LearnwithBrainly

8 0

2 years ago

250 divided by 10 squared equals?

navik [9.2K]

250 divided by 10 squared is 2.5

4 0

2 years ago

Read 2 more answers

For its 28th anniversary, an Uncles Game store is offering a 28% discount on all board games. What is the discounted cost of the

svetlana [45]

Answer: $23.40

Step-by-step explanation:

We will find what percent of the normal cost the items are currently.

100% - 28% = 72%

Now, we will find 72% of $32.50

72% -> 0.72

$32. 0 * 0.72 = $23.40

The discounted cost is $23.40.

5 0

1 year ago

Mr. Atkinson manages playgrounds for the 8 elementary schools in the Franklin School District. This year, he wants to put new sa

astra-53 [7]

Answer: 5 bags of sand

Step-by-step explanation:

Given

There are 8 elementary schools

3 Tons of sand is needed

It is contained in a 50- Pound bag

1 ton is equivalent to 2000 Pound

No of 50- Pound bag required is

$\Rightarrow n=\dfrac{2000}{50}\\\\\Rightarrow n=40$

These 40 bags will be required in 8 schools. So, each school requires

$\Rightarrow \dfrac{40}{8}=5\ \text{bag}$

8 0

2 years ago

Read 2 more answers