Un alemán se encuentra situado en una ciudad C y necesita transportar varios cilindros de gas de cloro. Si la ciudad C está situada a 5km de la ciudad A y a 8km de la ciudad B y además él ángulo formado en la ciudad C es de 36º. Qué distancia debe recorrer el alemán de la ciudad B a la ciudad A para llevar los cilindros de gas de cloro.

Answers

Answer 1

Answer:

El alemán debe recorrer de la ciudad B a la ciudad A para llevar los cilindros de gas de cloro.

Step-by-step explanation:

De acuerdo con este problema, tenemos un ángulo y dos lados adyacentes, por tanto, podemos determinar la distancia entre las ciudades A y B, medida en kilómetros, por la Ley del Coseno, definida como sigue:

[tex]AB = \sqrt{AC^{2}+BC^{2}-2\cdot AC\cdot BC\cdot \cos C}[/tex] (1)

Donde:

[tex]AC[/tex] - Distancia entre las ciudades A y C, medida en kilómetros.

[tex]BC[/tex] - Distancia entre las ciudades B y C, medida en kilómetros.

[tex]C[/tex] - Ángulo en la ciudad C, medida en grados sexagesimales.

Si tenemos que [tex]AC = 5\,km[/tex], [tex]BC = 8\,km[/tex] y [tex]C = 36^{\circ}[/tex], entonces:

[tex]AB = \sqrt{(5\,km)^{2}+(8\,km)^{2}-2\cdot (5\,km)\cdot (8\,km)\cdot \cos 36^{\circ}}[/tex]

[tex]AB \approx 4,927\,km[/tex]

El alemán debe recorrer de la ciudad B a la ciudad A para llevar los cilindros de gas de cloro.


Related Questions

Need help once again
Question is in the screenshot
No spam and no useless answers for the points

Please show your work

It means a lot to me :)

Answers

Hi there!

[tex]\large\boxed{\text{ She is incorrect.}}[/tex]

The format of a logarithmic equation is:

[tex]a^{b} = c\\\\log_{a}c = b[/tex]

In this instance:

a = e

b = 3x

c = 7

Rewrite as the logarithmic equation:

[tex]log_{e}7 = 3x[/tex]

Solve. Evaluate [tex]log_{e}7[/tex] and use algebra to find x:

[tex]1.946 = 3x\\\\x = 0.649[/tex]

Tell which equation you would choose to solve for one of the variables. Explain.
5x + 3y = 11
5x – y = 5
Answer please

Answers

I personally would use 5x - y = 5.

First, solve for y in this equation. Which would be y = 5x-5

Next, substitute that value of y into the equation 5x + 3y = 11. This would leave you with 20x - 15 = 11.

Then solve for x, which is 13/10.

Lastly, substitute 13/10 in the equation y=5x-5 to get y. In this case y = 3/2.

To check your work, you can substitute both of the values into one of the equations.

5(13/10) + 3(3/2) = 11.
65/10 + 9/2 = 11.
13/2 + 9/2 = 11
22/2 = 11
11 = 11

Have a Merry Early Christmas✨❤️

The point (-3, 15) undergoes a translation of 9 units right and 10 units down. What are the coordinates of the new
point?
(-12,10)
® (-12,5)
(6,10)
D (6,5)

Answers

Answer:

This would be D. (6, 5)

Step-by-step explanation:

When moving 9 to the right, you take -3 and add 9 to it, which gives you 6.

Do the same thing with 15, but subtract 10 from it, since you are going to the left. This gives you 5.

Therefore, your answer should be (6, 5)

-3 + 9 = 6

15 + 10 = 5

Find a ratio that compares the relative sizes of the quantities 23 inches to 5 feet

Answers

Answer:

11.5 and 2.5

Step-by-step explanation:

because if u add 11.5+11.5 it equals 23

and if u aff 2.5+2.5, it equals 5.

Find the slope of the line passing through the points (9, 1) and (-3, -3). Describe the slope as positive, negative, zero, or undefined. The slope equals The slope is (select)​

Answers

Answer:

Given points:-(9,1)(-3,-3)

We have to find slope =m

As we know that

[tex]{\boxed{\sf Slope_{(m)}=\dfrac {y _2-y_1}{x_2-x_1}}}[/tex]

Substitute the values

[tex]\qquad {:}\longrightarrow\sf m=\dfrac {(-3-1)}{(-3-9)}[/tex]

[tex]\qquad {:}\longrightarrow\sf m=\dfrac {-4}{-12}[/tex]

[tex]\qquad {:}\longrightarrow\sf m={\dfrac {1}{3}}[/tex]

[tex]\therefore\sf Slope\;of\;the\:line=\dfrac {1}{3}(undefined)[/tex]

Need help asap please!!

Answers

Answer:

A) 40 + d

B) 45 days

Step-by-step explanation:

A)

total cost = (cost of the air conditioner itself) + (money charged per day)*(days)

cost of air conditioner itself = $40

money charged per day = $1

days = d

40 + 1*d

= 40 + d

B)

total cost = 40 + d

total cost = $85

85 = 40 + d

45 = d

Time used the air conditioner for 45 days.

If a cookie recipe has 2 cups of sugar for each cup of flour, how much sugar would you use if you used 6 cups of flour?

Answers

Answer:

12 Cups

Step-by-step explanation:

s = 2f

If f = 6

S = 2 x 6

s = 12

Answer:

well u will need to multiply 2 times 6 and it will be 12 can i get brainlyist

Step-by-step explanation:

(1 + 2) x (3 + 4) whats the answer?

Answers

Answer: 21

Step-by-step explanation: 3 x 7 = 21

Answer:

21

Step-by-step explanation:

so 1 plus 2 which is 3 then do 3 plus 4 which is 7 so 3 times 7 is 21

Please help ! !!!!!!!!

Answers

Answer:

c, 50

Step-by-step explanation:

120-24= 96

Since we are measuring the size of one of the halves, you have to split that number in half, so 96 ÷ 2= 48.

48 rounds up to 50, so 50 is the answer

Select all the solutions to (x - 2)2 = -16.
a
x = 6
b
X = -2
с
x = -6
d
x = 2 + 4i
e
X = 2 + 2i
f
x = 2 - 2
bin
X = 2 - 4

Answers

Answer:

d and g

Step-by-step explanation:

Given

(x - 2)² = - 16 ( take the square root of both sides )

x - 2 = ± [tex]\sqrt{-16}[/tex] = ± [tex]\sqrt{16(-1)}[/tex] = ± 4i ( add 2 to both sides )

x = 2 ± 4i

Thus

x = 2 + 4i → (d)

x = 2 - 4i → (g)

14/5=t/3 What is t? Thanks I need this fast...
Also 45/y=125/4

Answers

Answer:

8.4 and 1.44

Step-by-step explanation:

Look at the attachment for work

Roger grew 42 plants with 14 seed packets. With 16 seed packets, how many total plants can Roger have in his backyard?

Answers

Answer:

48 plants

Step-by-step explanation:

Can anyone tell me theorem of Parallelogram*#​

Answers

Answer:

Theorem 1: In a parallelogram, the opposite sides are of equal length. Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram. Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other.

Step-by-step explanation:

Hope this helps!!!

i suck at math sadly i wish i could

8 cans of corn cost $16. What is the cost per can?

Answers

Answer:

Step-by-step explanation:

$16 / 8 cans = $2 per can

Given that
x:y= 5:4 and y: z = 3:2
Find the ratio x:y:z
Give your answer in its simplest form.

Answers

Answer:

15:12:16

Step-by-step explanation:

x:y= 5:4

y:z= 3:2

5×3= 4×3

3×4= 2×8

15= 12

12= 16

Therefore x:y:z can be shown as follows

= 15:12:16

Enter the number in two equivalent froms

Answers

The decimal equivalent is 0.60, and the percent is 60%. If you do 3/5, you get 0.60, and to get the percentage, you move the decimal two to the right, and add the percent sign. I hope you understand. :)

Decimal equivalent: 0.6 (all u had to do is divide)
Percent equivalent:60%

Mr.semmler drove 110 miles in 2 hours. At this rate, how many miles will he drive in 6 hours?

Answers

33 miles in 6 hours. The ratio is 110 miles for every two hours. If we want to find the amount of miles driven after 6 hours, you have to first divide 6 and 2. 6 divided by 2 is 3. Now we just have to multiply 110 by 3 which equals 330.

Answer:

330 miles

Step-by-step explanation:

If in 2 hours he drove 110 and you need to know how much miles will he have drove in 6, first you need to know if 2 is a multiple of 6, in this case it is so now you just divide 6/2 which is 3 so you multiply 110X3 wich gives you 330

Brainliest to correct answer. Please help!!! Last year, Trevor gave $5,462 to his local charity, which he calculated as 22.5% of his yearly salary. How much money does Trevor make in a year?

Answers

Answer:

6 690.95 US$

Step-by-step explanation:

It is possible to construct an equilateral triangle using only a straightedge and a compass.

Answers

Answer:

yes it is possible

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Analyze Timothy's steps. Is he correct? If not, why not? Yes, he is correct. No, he needed to add the exponents when he simplified the powers of the same base. No, he needed to multiply 3 and –1 instead of creating a positive exponent in a fraction. No, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.

Answers

Complete question is;

Tiothy evaluated the expression using x = 3 and y = –4. The expression is (xy^(-2))/(3x²y^(−4))

1. (1/3)x^(−1)(y²) 2. ((1/3)^(3−1))(−4²) 3. (1/3)(1/3)(−4)² 4. (1/3)(1/3)(−16) 5. −16/9 Analyze Timothy's steps. Is he correct? If not, why not?

A) Yes, he is correct.

B) No, he needed to add the exponents when he simplified the powers of the same base.

C) No, he needed to multiply 3 and –1 instead of creating a positive exponent in a fraction.

D) No, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.

Answer:

D) No, his value of (negative 4) squared should be positive because an even exponent indicates a positive value.

Step-by-step explanation:

The expression is;

(xy^(-2))/(3x²y^(−4))

Simplifying this using law of indices gives;

⅓(x^(1 - 2)) × (y^(-2 -(-4))

This gives;

= (⅓x^(-1)) × y²

= ⅓ × (1/x) × y²

We are told that x = 3 and y = –4, thus;

= ⅓ × ⅓ × (-4)²

Square of a negative number is positive, thus (-4)² = 16

Thus;

⅓ × ⅓ × (-4)² = 16/9

Looking at the answer Timothy got, it's clear he made a mistake of not getting a positive number when he squared -4.

Thus,option D is the correct answer.

Answer:

D

Step-by-step explanation:

i got it correct

Solve step by step! Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!!!

Answers

Let x be a and b
Now,
a=30[alternate angles]
b=40 [same reason as above]
So,
a+b=x
40+30=70
Hope it helps
Pls mark brainliest

Plz help its due tomorrow

Answers

Answer:

I think D

Step-by-step explanation:

because all the information seems important

Solve the system of linear equations.

−x+2y=7
x−2y=7

Answers

The answer is no solution.
hope that helps!
the answer is infinity *no solution*
have a good day!

Show that the cosine law simplifies to the Pythagorean theorem when the contained angle between the two known sides is 90°.

Answers

Answer:

See Below.

Step-by-step explanation:

We want to show that the Law of Cosines simplifies to the Pythagorean Theorem when the contained angle between the two known sides is 90°.

The Law of Cosines is given by:

[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]

Where a and b are the two known sides, and C is the angle between them.

If C is 90° then we will have:

[tex]c^2=a^2+b^2-2ab\cos(90 ^\circ)[/tex]

Recall that the cos(90°)=0. Hence:

[tex]c^2=a^2+b^2-2ab(0)[/tex]

Simplify:

[tex]c^2=a^2+b^2[/tex]

So, we acquire the Pythagorean Theorem as desired.

Can talk help with dis
Factorise
a- 49a² - 36b²
b- 3x³ - 48x
c- x² - 20x + 100
d- 4xy² - 8x⁴y + 16x²y² - 2x³y​

Answers

a. 49a² - 36b²

= (7a)² - (6b)²

using the identity - = (a + b) (a - b)

= (7a + 6b) (7a - 6b)

Are the triangles Proportional?
20
D
21
F
10
14
15
B
E
28
с
O True
O False

Answers

Answer:

false

Step-by-step explanation:

they r not

Louiza changes £320 into Euros. £1 is Worth 1.14 euros. How many euros does she receive?​

Answers

Answer:

she received 364.80 euros

Step-by-step explanation:

SOLVE THE PROBLEM, PLEASE! :(

Answers

Answer:

x=-2

y=-5

Step-by-step explanation:

3x-y=-1

-3x+4y=-14

_________

-3y=-15

__. __

-3. -3

y=5

3x-(-5)=-1

3x+5=-1

-5. -5

_______

3x=-6

---. ---

3. 3

x=-2

Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week.

Answers

No se cual es esa respuesta porque no

Rewrite
barrel
as a unit rate
hour
A barrel/hour
B. barrels/hour
c. 10 barrels/hour
barrel/hour

Answers

Answer:

C

Step-by-step explanation:

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