cot 10° . cot 20°. cot 70°. cot 80°. cot 45° = 1​

Answers

Answer 1

Answer:

steps below

Step-by-step explanation:

cot 10° * cot 20° * cot 70° * cot 80° * cot 45°

= (cos 10°/sin 10°)*(cos 20°/sin 20°)*(cos 70°/sin 70°)*(cos 80°/sin 80°)* (1)

= (cos 10°*cos 80°)(cos 20°*cos 70°) / (sin 10°*sin 80°)(sin 20°*sin 70°)

= (1/2*(cos60°+cos90°)*1/2(cos50°+cos90°))/(1/2*(cos60°-cos90°)*1/2(cos50°-cos90°))    ... cos90° = 0     cos60° = 1/2

= (1/8*cos50°) / (1/8*cos50°)

= 1


Related Questions

Mable earns $180 in 18 hours. at this rate how many dollars will she earn in 30 hours

Answers

Step-by-step explanation:

18 hours = $180

1 hour = 180/18 = $10

so 30 hours = 30 × 10 = $300

please give me a brainliest answer

Confused ;-; please help me

Answers

Answer:

1)sss

2)asa

3)sas

Step-by-step explanation:

hope this helps

A student from last year got an answer of 36 when asked to simplify the expression below. Identify the student’s mistake? Then solve it correctly.

`2+10\ \times\ 3`

Answers

2 + 10 x 3 ≠ 36
you have to do the multiplication first.
= 2 + (10 x 3)
= 2 + 30
= 32

jika abcd adalah jajar genjang dengan koordinat titik A(-2,-1). B(3,-1) dan C (5,3) maka koordinat titik d adalah
a. D (3,0)
b. D ( 2,3)
c. D (-4,3)
d. D (0,3)

jumlah bilangan genap antara 0 dengan 51
a. 100
b. 650
c. 2500
d. 98

jumlah bilangan genap kelipatan 3 antara 20 dengan 100 adalah
a. 78
b. 120
c. 780
d. 13​

Answers

1. D. (0,3)

2. B. 650

3. C. 780

Bener semua kok

semoga membantu.

kasi brainliest oi wkwkwk

I've tried everywhere to get this answerrrrr ill give brainliest for the correct answer mate!!

Answers

Answer:

list out some of the difference between Mendeleev periodic table modern periodic table plz give ans

Which graph represents the piecewise-defined function f(x) = { -x + 4, 0 ≤ X< 3
6,
X ≥ 3

Answers

9514 1404 393

Answer:

  (d)

Step-by-step explanation:

The second line of the function is ...

  f(x) = 6, x ≥ 3

This tells you that portion of the graph is the horizontal line y = 6, extending to the right from x = 3, and that there will be a solid dot at (3, 6).

This shows only on the attached graph.

Answer:

4th graph

Step-by-step explanation:

Toby picks a 4-digit number.
It is larger than 2999 and it is a multiple of 2.
How many different numbers could he have picked?

Answers

Let’s reduce this question into easier terminology.

The number is a multiple of 2, meaning it is an even number. It is larger than 2,999 and less than 10,000 (since it is a 4 digit number).

Thus, Toby could have picked any even number from 3000 to 9,999. So this question is asking how many even numbers (multiples of 2) are between 3000 and 9,999.

For every thousand, there are 1000/2 = 500 multiples of 2:

500 multiples between 3,000 and 3,999

500 multiples between 4,000 and 4,999

and so on until 9,999. So there are

7*500 = 3500 multiples of 2 in this range.

Toby could have picked 3500 possible numbers.

Tu
Miguel measured the town library and made a scale drawing. The scale he used was
1 millimeter : 7 meters. The parking lot is 7 millimeters long in the drawing. How long is the
actual parking lot?

Answers

Answer:

The parking lot is actually 49 meters.

PLEASE HELP MEE!!! I WILL GIVE YOU THE BRAINLIEST

Answers

Answer:

Domain (-infinity, infinity) Range (-4, infinity)

Step-by-step explanation:

look at the x axis. the graph is going forever out, so infinity.

now look at the y axis. where does it stop? -4. you might need to use [ instead of ( when answering your problem (that just means including) hope this helps!

PLEASE HELP WE DON'T KNOW THE ANSWERS AND WE ARE ALL FAILING THIS CLASS PLS HELP//// I would like to thank you for helping us so much we greatly apricate this.

Answers

Answer:

leave unknown variables alone on one side. throw the numbers to the other side of the equation by changing sign

Jeff made 2 out of every 5 baskets he shot during basketball practice. If he took 25 shots, how many baskets did he make? You MUST show your proportion and work!

Answers

Answer:

30 many shoot basket did he make

four more than the quotient of a number and six. write in algebraic expression

Answers

Answer:

4+n/6 (the slash means a fraction with n on top.) <3

Step-by-step explanation:

PLEASE HELP!!!!! You are given an isosceles trapezoid ABCD with median XY. Complete the following.
m

Answers

Lol give me a second

PLEASE HELP complete the construction a perpendicular line to segment AB through point P.

Answers

Answer:

.

Step-by-step explanation:

sorry i can't help

Robin earned $4,581 in 9 weeks. How much does he earn per week?

Answers

Answer:

$509 per week

Step-by-step explanation:

Well, in order to find the unit rate we simply do the following steps:

4,581 ÷ 9 = 509

So to answer the question, each week Robin earns $509.

Hope this helps! : )

Answer:

they earn 509 a week

Step-by-step explanation:4581 divided by 9

PLEASE HELP!!

Josh works for MooMoo Milkshakes. The company wants to know what milkshake flavor is the most popular. Today, he surveyed
every third female customer on their favorite milkshake flavor. Eighteen customers
(out of 60 total) were surveyed, and 7 customers
prefer MooChooChocolate, 5 customers prefer VeryStrawberry, and 6 customers prefer BananaBoBanna.
What type of sampling is demonstrated in the situation above?

A. census

B. random sampling

C. negative sampling

D.convenience sampling

Answers

Answer: random sampling

Step-by-step explanation: Random sampling is where each member of the sample is randomly selected from the population. Since Josh chose every third female customer, he randomly chose the sample.

Answer:  B random sampling .

Step-by-step explanation:

can someone please help me as soon as possible​

Answers

Answer:

a quadratic function is letter A

X+2x-5+6= 0 How would you picture model this to solve for x?

Answers

Hey there!

x + 2x - 5 + 6 = 0

1x + 2x - 5 + 6 = 0

3x + 1 = 0

SUBTRACT 1 to BOTH SIDES

3x + 1 - 1 = 0 - 1

CANCEL out: 1 - 1 because that gives you 0

KEEP: 0 - 1 because that helps solve for the x-value

0 - 1 = -1

NEW EQUATION: 3x = -1

DIVIDE 3 to BOTH SIDES

3x/3 = -1/3

CANCEL out: 3/3 because that gives you 1

KEEP: -1/3 because it gives you the value of x

SIMPLIFY IT

x = -1/3

Therefore, your answer is: x = - 1/3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

PLEASE HELP what is the next term what is A in the sequence and what is the common ratio for 2 4 8 16 32

Answers

Answer:

The next term is 64, a is 2, and the common ratio is 2.

Step-by-step explanation:

Look at what's happening from each number to the next. What do you need to do to get from 2 to 4, or 4 to 8? Multiply by 2. That's your common ratio. To get the next number in the sequence, multiply the last number by the common ratio of 2. 32 x 2 = 64, so the next number in the sequence is 64. "a" is just the very first term, meaning it's 2.

A company makes a profit of $1.38 million. This is $2.54 million more than last year. What was the profit last year?

The answer also asks for us to fill in the blank; "The profit last year was $__ million, so I need help filling in the blank.​

Answers

Answer:  -1.16

The "million" part is already taken care of by your teacher.  

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

Explanation:

x = profit last year (millions of dollars)

x+2.54 = profit this year, which is 2.54 million more than last year

x+2.54 = 1.38

x = 1.38-2.54

x = -1.16

The profit last year was -1.16 million dollars

This is the same as writing -1,160,000 dollars of profit.

A negative profit indicates that the company lost money. This is when the company is spending more than what they earn (i.e. they are in some kind of debt).

Find f(x) if it is known that f(x-2)=2x-4

Answers

Answer:

f=2

Step-by-step explanation:

f(x-2)=2x-4

divide x-2 to 2x-4

f=2

f(2-2)=4-4

write the volume of a cylinder with a base radius 3 m and height 8 m in terms of pi


Show your work and leave your answer it terms of pi

Answers

Answer:

72π (in terms of pi)

Step-by-step explanation:

V = π·r²·h

Plug in the values.

V = π·3²·8

Solve.

V = 72π

To leave an equation in terms of pi, just square, multiply, and leave pi at the end.

3² = 9·8 = 72

72π

If you need the answer fully simplified, it is 226.19 (rounded up).

Need help! Solve for X on both

Answers

for the first question it is x=7. For the second equation it is x=3

Find the measures of a right triangle with one angle whose measure is 30

Answers

Answer:

The other measure is 60º

Step-by-step explanation:

a triangle= 180º total

a right triangle has one 90º angle

there is a 30º angle given

180-90=90

90-30=60

so 60º

hi pls help me thanksss
pls provide me with workings thankss :)​

Answers

Step-by-step explanation:

(i)

Using cos(a - b) = cos a cos b + sin a sin b

[tex]\frac{4}{5}[/tex] = cos a cos b + [tex]\frac{1}{5}[/tex]

cos a cos b = [tex]\frac{4}{5} -\frac{1}{5} = \frac{3}{5}[/tex]

(ii)

Using cos(a + b) = cos a cos b - sin a sin b

cos(a + b) = [tex]\frac{3}{5}-\frac{1}{5}=\frac{2}{5}[/tex]

(iii)

Using cot a = [tex]\frac{cos a}{sin a}[/tex]

[tex]=(\frac{cos A}{sin A} )(\frac{cos B}{sin B} )[/tex]

[tex]=\frac{cos A cos B}{sin A sin B}[/tex]

[tex]=\frac{\frac{3}{5} }{\frac{1}{5} }[/tex]  [tex]=\frac{3}{5}[/tex] × [tex]5[/tex]

= 3

please give me a brainliest answer

Here's a question ~

can anyone give the explanation ?​

Answers

Answer:

See below

Step-by-step explanation:

As per the question we have:

The y - intercept is b = -1The slope has same angle with x- and y - axis.

This can be a function with the slope of m = 1 or m = - 1 as these lines must be perpendicular to each other and make 90°/2 = 45° or 45° + 90° = 135° angle with the x- or y- axis.

So the lines could be:

y = x - 1 ory = -x - 1

Lines must be perpendicular to each other as they are cutting at y intercept -1

Slope intercept form of line

for slope -1

y=-x-1

For slope 1

y=x-1

hello
Michael cycled 15 km at an average speed of 18 km/h.
How many minutes did his journey take?

Answers

Answer:

50 minutes

Step-by-step explanation:

Amount of time his journey took = 15km ÷ 18km/h

                                                      = 0.833h (to 3sf)

                                                      = 50 minutes

A baker used 3kg of baking powder every for every 12kg of flour. if he used 180kg of flour for the Christmas season. how many kg of baking powder did he use in all. help now, please

Answers

Answer:

Step-by-step explanation:

12 kg of flour for 3 kg of baking powder

so 1 kg of flour = 3/12 or 1/4 of baking powder

180 kg of flour = [tex]\frac{1}{4}[/tex] × 180 kg of baking powder

= 45 kg of baking powder for 180 kg of flour

please give me a brainliest answer

Step-by-step explanation:

Step-by-step explanation:

12 kg of flour for 3 kg of baking powder

so 1 kg of flour = 3/12 or 1/4 of baking powder

180 kg of flour = 14\frac{1}{4}

4

1

× 180 kg of baking powder

= 45 kg of baking powder for 180 kg of flour

please give me a brainliest answer

A diver descends at an average speed of 10.4 m/min. Use rational numbers to write her depth after 3.6 min.

Answers

Answer: it’s just 2.89 there’s nothing else to it

tbh ive fogotten how to do all of these so plz helpppppppppp

Answers

Answer:

16.26°

Step-by-step explanation:

Start by labelling the given sides of a triangle as either adjacent, opposite or hypotenuse side.

• Adjacent side: side on which the right angle and angle of interest lie

• Opposite side: side facing the angle of interest

• Hypotenuse side: side facing the right angle

In this case, the side with '24' is the adjacent side while the side with '7' is the opposite side.

Given these two sides, we use tangent to find the unknown angle.

[tex]\boxed{ \tanθ = \frac{opp}{adj} }[/tex]

[tex] \tanθ = \frac{7}{24} [/tex]

Tasking the inverse of tangent on both sides:

[tex]θ = \tan^{ - 1} ( \frac{7}{24} ) [/tex]

θ= 16.260° (3 d.p.)

Thus, the second option is correct.

Notes:

[tex]\boxed{ \sinθ = \frac{opp}{hyp} }[/tex]

[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]

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