If tanx+cotx=2 then Cosx =?​

Answers

Answer 1

Answer:

sqrt(2)/2

Step-by-step explanation:

tan(x) and cot(x) are both 1 when x=pi/4 and since 1+1=2, then we just need to evaluate cos(pi/4) which equals sqrt(2)/2.


Related Questions

find the mean of the following,-6,-10,-4,8,9,-2,5,6.​

Answers

[tex]mean = \frac{sum \: of \: all \: observations}{number \: of \: observations} \\ = > mean = \frac{( - 6) + ( - 10) + ( - 4) + 8 + 9 + ( - 2) + 5 + 6}{8} \\ = > mean = \frac{6}{8} \\ = > mean = 0.75[/tex]

This is the answer.

Find the value of x.
B
X+2
3
D
E
х
2
А
x = [?]

Answers

Answer:

x = 4

Step-by-step explanation:

The line DE is parallel to AC and divides the sides proportionally, that is

[tex]\frac{BD}{AD}[/tex] = [tex]\frac{BE}{CE}[/tex] , substitute values

[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

3x = 2(x + 2) = 2x + 4 ( subtract 2x from both sides )

x = 4

Find the value of x for the right triangle.

Answers

x = 4.5

This is a 90° 60° 30° triangle, meaning that the bottom will be x, the right side will be x √3, and 9 is actually 2x

I’m stuck on this one help anyone?

Answers

Answer:

just add a small amount to the 2.8 and square the result

Step-by-step explanation:

x x^2

2.8 7.84

2.81 7.8961

2.82 7.9524

2.83 8.0089

2.84 8.0656

2.85 8.1225

2.86 8.1796

2.87 8.2369

Determining if a Relationship Is a Function
Which represents a function?

Answers

Answer:

only the first one...

a "FUNCTION" has a UNIQUE relation between each input and output...

notice the middle one the -2 goes to BOTH th2 10 & -7 that makes it NOT a FUNCTION

Step-by-step explanation:

Which of the following equations would not have a solution that is the same as the solution to the system. shown below?

4x+y=7
-2x+5y=1

———————————————

1) 11y = 9

2) 2x + 6y = 8

3) -4x + 10y = 1

4) 12x + 3y = 21

please help asap and thank you in advance to anyone who answers this for me ! :)

Answers

Answer:

Step-by-step explanation:

Examine circle O, where chords AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are congruent.

Point P lies on AB¯¯¯¯¯¯¯¯ and point Q lies on CD¯¯¯¯¯¯¯¯.
Angles APO and DQO are right angles.

The diagram as described in the problem.



Which congruence statement is true?
CD≅AP
QD≅QO
OP≅OQ
OP≅AB

Answers

the second one QD=QO

Somebody give the answer to the question attached please

Answers

The above answer is correct

Ethan says that (2x+5)/2 can be reduced to x + 5. Braylon says this is not correct. Who is right and why?

Answers

Answer:Braylon is right

Step-by-step explanation:

it is reduced to x+5/2

Answer:

Braylon is correct, after dividing the numbers given I got _::x+5/2::_

and it cant be simplified more

A=131+122+199+204 trả lời cho tớ đi

Answers

Answer:

A=656 trả lời cho tớ đi...

A record club has found that the marginal​ profit,

Upper P prime (x )​, in​ cents, is given by

Upper P prime (x )equals negative 0.0008 x cubed plus 0.20 x squared plus 46.8 x for x less than or equals 200​,

where x is the number of members currently enrolled in the club. Approximate the total profit when 120 members are enrolled by computing the sum

Summation from i equals 1 to 6 Upper P prime (x Subscript i Baseline )Upper Delta x with Upper Delta x equals 20.

Answers

Solution :

Given :

[tex]$P'(x) = -0.0008x^3+0.20x^2+46.8x,$[/tex]    for x ≤ 200

Total profit when 120 members are enrolled is :

[tex]$\sum_{i=1}^6P'(x_i) \Delta x$[/tex]      with [tex]\Delta x = 20[/tex]

Using the left end points, we get,

The values of [tex]x_i[/tex] are : { 0, 20, 40, 60, 80, 100}

Therefore,

[tex]$P'(x_1) = P'(0)=-(0.0008)(0)^3+(0.20)(0)^2+(46.8)(0)$[/tex]

                        = 0

[tex]$P'(x_2) = P'(20)=-(0.0008)(20)^3+(0.20)(20)^2+(46.8)(20)$[/tex]

                          = 1009.6

[tex]$P'(x_3) = P'(40)=-(0.0008)(40)^3+(0.20)(40)^2+(46.8)(40)$[/tex]

                         =  2140.8

[tex]$P'(x_4) = P'(60)=-(0.0008)(60)^3+(0.20)(60)^2+(46.8)(60)$[/tex]

                         = 3355.2

[tex]$P'(x_5) = P'(80)=-(0.0008)(80)^3+(0.20)(80)^2+(46.8)(80)$[/tex]

                         = 4614.4

[tex]$P'(x_6) = P'(100)=-(0.0008)(100)^3+(0.20)(100)^2+(46.8)(100)$[/tex]

                           = 5880

[tex]$\sum_{i=1}^6P'(x_i) \Delta x = P'(x_1)\Delta x + P'(x_2)\Delta x + P'(x_3)\Delta x + P'(x_4)\Delta x + P'(x_5)\Delta x + P'(x_6)\Delta x $[/tex]  

= (0)(20) + (1009.6)(20) + (2140.8)(20) + (3355.2)(20) + (4614.4)(20) + (5880)(20)

= (20)( 0 + 1009.6 + 2140.8 + 3355.2 + 4614.4 + 5880)

= (20)(17,000)

= 340,000 cents

[tex]$=\frac{340000}{100} \ \text{dollars}$[/tex]

= 3400 dollars

Hence, the required total profit is 3400 dollars.

In a shipment of airplane parts, 6% are known to be defective. If 42 parts are found to be defective, how many parts are in the shipment?

Answers

Answer:

700 parts

Step-by-step explanation:

To find the total amount of parts in the shipment, all we need to do is divide.

6% = 0.06

42 / 0.06 = 700

Best of Luck!

Two legs of a right triangle measure 23 inches and 38 inches. What is the length of the hypotenuse, to the nearest
inch?

Answers

Answer:

hypotenuse ≈ 44 inches

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other two sides.

let the hypotenuse be h , then

h² = 23² + 38² = 529 + 1444 = 1973 ( take square root of both sides )

h = [tex]\sqrt{1973}[/tex] ≈ 44 inches ( to the nearest inch )

An amusement park charges and admission fee of 30 dollars for each person. Let C be the cost (in dollars) of admission for P people. Write an equation relating C to P.

Answers

Answer:

14

Step-by-step explanation: B is the midpoint of AC, in other words it is the halfway point.

So A to B should be equal to B to C

Our expression is:

2x + 9 = 37

Subtract 9

2x = 28

Divide by 2

x = 14

How much money invested at 3% compounded monthly for 3 years will yield $520?
$179.42
$475.30
$358.84
$148.78

Answers

Answer:

Step-by-step explanation:

Use this formula:

[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount after the compounding is done, P is the initial investment (our unknown), r is the interest rate in decimal form, n is the number of compoundings per year, and t is the time in years. Filling in:

[tex]520=P(1+\frac{.03}{12})^{(12)(3)}[/tex] and simplifying that a bit:

[tex]520=P(1+.0025)^{36[/tex] and a bit more:

[tex]520=P(1.0025)^{36[/tex] and even  bit more:

520 = P(1.094551401) and divide to get

P = $475.30

Sophia pays £222 for a plane ticket.
She also pays 100 euros airport tax.
The exchange rate is £1 = 1.38 euros.
What percentage of the total cost of the ticket and the airport tax does Sophia pay
for the
airport tax?
Give your answer correct to 1 decimal place.

Answers

9514 1404 393

Answer:

  24.6%

Step-by-step explanation:

The cost of the ticket in euros is ...

  £222 × €1.38/(£1) = €306.36

Then the ratio of the tax to the to the total cost is ...

  €100/(€306.36 +100) = 100/406.36 ≈ 24.6%

Lines c and d are parallel lines cut by transversal p.


Horizontal and parallel lines c and d are cut by transversal p. On line c where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 1, 2, 3, 4. On line d where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 5, 6, 7, 8.
Which must be true by the corresponding angles theorem?
A. ∠1 ≅ ∠7
B. ∠2 ≅ ∠6
C. ∠3 ≅ ∠5
D. ∠5 ≅ ∠7

Answers

Answer:

Option (B).

Step-by-step explanation:

Here there are two parallel lines c and d cuts by a transversal p.

The angles are formed as shown in diagram.

Here,

[tex]\angle 1 = \angle 7 (alternate)\\\\\angle 2 = \angle 6 (corresponding)\\\\\angle 3 = \angle 5 (alternate)\\\\\angle 5 = \angle 7 (alternate)[/tex]

So, the option (B) is correct.

How many tacos could you buy on a Wednesday with 20 dollars and tacos cost 50. cents

Answers

Answer:

40 tacos

Step-by-step explanation:

Step 1:  Determine how many tacos you can buy

Cost of one taco:  $0.50

Money in wallet:  $20

So for every $1 you can buy 2 tacos.  Therefore, 20 * 2 = 40 tacos

Answer:  40 tacos

Answer:40 tacos

Step-by-step explanation: because yeah

Someone help me please

Answers

Answer:  0.86

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

Explanation:

The table says that

5 students got an A10 students got a B15 students got a C

That's 5+10+15 = 30 students out of 35 total.

The probability is therefore 30/35 = 0.8571 approximately which rounds to 0.86

There's roughly an 86% chance of picking someone who got an A, B or C.

Find the value of DE.

Answers

Answer:

DE = 5

Step-by-step explanation:

The 3 sides of the triangle are congruent , then

DF = EF , that is

[tex]\frac{2}{5}[/tex] a - 15 = [tex]\frac{1}{5}[/tex] a - 5 ( multiply through by 5 to clear the fractions )

2a - 75 = a - 25 ( subtract a from both sides )

a - 75 = - 25 ( add 75 to both sides )

a = 50

Then

DE = EF = [tex]\frac{1}{5}[/tex] × 50 - 5 = 10 - 5 = 5

Which graph shows the solution set of

Answers

Answer is B I did it on one of my quiz

Select the correct answer.
Function h is a transformation of the parent exponential function, f(x) = 2^x.
.h(x)=-3.2^x
-
Which statement is true?

Answers

F(x)=2^x is the answer

Someone help me pls ..

Answers

Answer:

because they are both in the circle

Step-by-step explanation:

A football was kicked through the air and it followed the path h\left(s\right)=-3s^2+75h(s)=−3s 2 +75 . Let h\left(s\right)h(s) represent the height of the soccer ball after, s, seconds.

Answers

Complete question is;

A soccer ball was kicked through the air and it followed the path. Let h(s) = −3s² +75 represent the height of the soccer ball after s seconds.

Find the time at which the soccer ball hits the ground.

Answer:

s = 5 seconds.

Step-by-step explanation:

We are given the function;

h(s) = −3s² +75

Where;

h(s) is height at time s

s is the time taken

Now, the time at which the time at which the soccer ball hits the ground would be at h(s) = 0 since height is at 0 point.

Thus;

−3s² +75 = 0

−3s² = -75

s² = 75/3

s² = 25

s = √25

s = 5 seconds.

Solve the equation 15x + 22 = 7x +62

Answers

Answer:

hope it helps you........

Answer:

x = 5

Step-by-step explanation:

1. Subtract 22 from both sides.

15x = 7x + 62 - 22

2. Simplify 7x + 62 - 22 to 7x + 40.

15x = 7x + 40

3. Subtract 7x from both sides.

15x - 7x = 40

4. Simplify 15x - 7x to 8x.

8x = 40

5. Divide both sides by 8.

x = [tex]\frac{40}{8}[/tex]

6. Simplify [tex]\frac{40}{8}[/tex] to 5.

x = 5

shanika has a lamp that she wants to send to her sister in baltimore.the lamp is in the shape of a rectangular prism.it measures 14 high, 9 wide, and 3 long.she wants to buy a box so that there is 1 all around the lamp for bubble wrap

Answers

Consider we need to find the dimensions and volume of the box.

Given:

The shape of the lamp is a rectangular prism.

It measures 14 high, 9 wide, and 3 long.

There is 1 all around the lamp for bubble wrap

To find:

The dimensions and volume of the box.

Solution:

Length of the box is:

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

Width of the box is:

[tex]9+2=11[/tex]

Height of the box is:

[tex]14+2=16[/tex]

Therefore, the dimensions of the box are 5 by 11 by 16 units.

The volume of the box is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]l=5, w=11, h=16[/tex], we get

[tex]V=5\times 11\times 16[/tex]

[tex]V=880[/tex]

Therefore, the volume of the box is 880 cubic units.

SOMEONEEEE HELPPP MEEEEE PLEASEEEE!!!!

Answers

Answer:

[tex]{ \tt{ \tan(x) = \frac{opposite}{adjacent} }} \\ \\ { \tt{ \tan( \theta) = \frac{30}{16} }}[/tex]

Yoo plz answer quickly

Answers

ooof 2 weeks ago, sorry mate, i want the points doe...

What is sin 28°?
62
8
17
90
15
28
A.
Sooden
O c.
O

Answers

Answer:

the sin of 28 degree is 28

Step-by-step explanation:

it's the same degree in radians I hope this help

Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a separate van.
The equation 2b + 6 = 70 represents the given scenario. What does b represent?

Answers

Answer:

seats in each bus

Step-by-step explanation:

total no.of seats = 64

so, the no.of seats in each bus = 64/2 =32

therefore ,  b denotes the no.of seats in each bus

PLEASE MARK ME AS BRAINLIEST .

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