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3 years ago

Calcular: E = (sec245o + tg45o) ctg37o - 2cos60o

Mathematics

1 answer:

Vlada [557]3 years ago

7 0

Answer:

$-2.813$

Step-by-step explanation:

Se simplifica inicialmente la fórmula en términos de las funciones trigonométricas fundamentales (Initially, the formula is simplified in terms of fundamental trigonometric functions):

$(\sec 245^{\circ} + \tan 45^{\circ} )\cdot \cot 37^{\circ} - 2\cos 60^{\circ}$

$\left(\frac{1}{\cos 245^{\circ}}+\frac{\sin 45^{\circ}}{\cos 45^{\circ}} \right)\cdot \left(\frac{\cos 37^{\circ}}{\sin 37^{\circ}} \right) - 2\cdot \cos 60^{\circ}$

$(-2.366 + 1 )\cdot (1.327) - 1$

$-2.813$

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Solve the system by substitution.<br> [-2.5x+y = 13.5<br> 12.25x - y=-12.25

IrinaK [193]

Answer:

x = 5/39 , y = 539/39

Step-by-step explanation:

Solve the following system:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

In the first equation, look to solve for y:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

y - 2.5 x = y - (5 x)/2 and 13.5 = 27/2:

y - (5 x)/2 = 27/2

Add (5 x)/2 to both sides:

{y = 1/2 (5 x + 27)

12.25 x - y = -12.25

Substitute y = 1/2 (5 x + 27) into the second equation:

{y = 1/2 (5 x + 27)

1/2 (-5 x - 27) + 12.25 x = -12.25

(-5 x - 27)/2 + 12.25 x = 12.25 x + (-(5 x)/2 - 27/2) = 9.75 x - 27/2:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

In the second equation, look to solve for x:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

9.75 x - 27/2 = (39 x)/4 - 27/2 and -12.25 = -49/4:

(39 x)/4 - 27/2 = -49/4

Add 27/2 to both sides:

{y = 1/2 (5 x + 27)

(39 x)/4 = 5/4

Multiply both sides by 4/39:

{y = 1/2 (5 x + 27)

x = 5/39

Substitute x = 5/39 into the first equation:

{y = 539/39

x = 5/39

Collect results in alphabetical order:

Answer: {x = 5/39 , y = 539/39

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3 years ago

What is the discimiant of 9x2+2=10x?

Marina CMI [18]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Brad sold candy bars and cookies for a fundraiser at school. Candy bars sold for $3, and cookies sold for $5. He sold a total of

kari74 [83]

Answer: First option

12 candy bars were sold

Step-by-step explanation:

Call x the amount of candy sold and call z the amount of cookies sold. Then we know that

$x + z = 20$

We also know that candy bars sell for $ 3 and cookies sell for $ 5. The profit was $ 76

So:

$3x + 5z = 76$

To find the quantity of candy bars sold we must solve the system of equations:

$x + z = 20\\\\3x + 5z = 76$

Multiply the first equation by -5 and add it to the second equation

$-5x -5z = -100$

$3x + 5z = 76$

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$-2x = -24\\\\x = 12$

8 0

3 years ago

Read 2 more answers

Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go straight (S). Consider observing

Kazeer [188]

Answer:

a. A = {RRR,LLL,SSS}

b. B = {RLS, RSL, LSR, LRS, SRL, SLR}

c. C = {RRS, RRL, RSR, RLR, LRR, SRR}

d. D = {RRS, RRL, RSR, RLR, LRR, SRR, SSR, SSL, SRS, SLS, LSS, RSS, LLS, LLR, LRL, LSL, SLL, RLL}

e. C U D= {RRS, RRL, RSR, RLR, LRR, SRR, SSR, SSL, SRS, SLS, LSS, RSS, LLS, LLR, LRL, LSL, SLL, RLL}

C n D = {RRS, RRL, RSR, RLR, LRR, SRR}

Step-by-step explanation:

a..

All three vehicles go in the same direction

This means that all the three vehicles either go straight, or right or left at the same time.

So, A { {RRR, LLL, SSS}

b..

All three vehicles take different directions

Thus means that all the vehicle take different routes

If a vehicle takes the the straight direction, the other 2 vehicles take right and left directions respectively

So, B = {RLS, RSL, LSR, LRS, SRL, SLR}

c..

Exactly two of the three vehicles turn right

This means that two vehicles take right direction while the last vehicle either tske the straight route or left route.

C = {RRS, RRL, RSR, RLR, LRR, SRR}

d..

Exactly two vehicles go in the same direction.

The means that if two vehicles pass straight direction then the third vehicle takes either the right or left direction.

Also, if two vehicles pass right direction, the third vehicle either takes the left direction or straight direction

Lastly, if two vehicles pass left direction then the third vehicle either pass the straight direction or right direction.

D = {RRS, RRL, RSR, RLR, LRR, SRR, SSR, SSL, SRS, SLS, LSS, RSS, LLS, LLR, LRL, LSL, SLL, RLL}

e. C U D = the union of items in C and D without repetition

So,

C U D= {RRS, RRL, RSR, RLR, LRR, SRR, SSR, SSL, SRS, SLS, LSS, RSS, LLS, LLR, LRL, LSL, SLL, RLL}

C n D = Common items in C and D

C n D = {RRS, RRL, RSR, RLR, LRR, SRR}

List outcomes in D'.D' = List outcomes in C ∪ D.C ∪ D = List outcomes in C ∩ D.C ∩ D =

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4 years ago

A) An angle measures 59º. What is the measure of its complement

mojhsa [17]

A) 31 degrees
b) 118 degrees

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