A robot is on the surface of Mars. The angle of depression from a camera in the robot to a rock on the surface of Mars is 14.12. The camera is 190.0 cm above the
surface. How far is the camera from the rock?
The camera is cm from the rock
Round to the nearest tenth as needed.)

Answer:

x = 107 degrees

Step-by-step explanation:

A line is 180 degrees so first, find the other angle by doing 180 - 160 which gives you 20 degrees.

The angles of a triangle add up to 180 degrees, so do 180-53-20, which gives you 107 degrees as the value of x.

Answer:

his salary is rs 6000 & his tax amount is rs 1500 :)

Answer:

6000,1500

Step-by-step explanation:

Let Gopi's salary be 'x'

He paid 25% of his salary as tax. = 25% of x = 25x/100 = x/4  

He spent 1/3 of his salary on groceries = x/3

Getting his salary:-

x-x/3-x/4=2500

(12x-4x-3x)/12=2500

5x/12=2500

x=

(2500x12)/5

x=500x12=6000

Tax amount:-

6000x25/100=1500

Answer:

1- El Cerrito el 75% de la población habla una lengua distinta al español, mientras que en El Paseo dicho porcentaje es del 71.42%, con lo cual la diferencia de ambos es de 3.58%.

2- El 60% de los alumnos de 6ºA y el 80% de los alumnos de 6ºB aprobaron matemáticas, con lo cual la diferencia entre ambos grupos fue de 20% en favor del grupo 6ºB.

Step-by-step explanation:

1- Dado que en dos localidades hay habitantes que hablan una lengua distinta al español, de las cuales en El Cerrito son 3 de cada 4 mientras que en El Paseo son 5 de cada 7, para determinar en cuál de las dos localidades hay un número mayor de hablantes de una lengua distinta al español, y determinar la diferencia entre ambas localidades, se deben realizar los siguientes cálculos:

4 = 100

3 = X

3 x 100 / 4 = 75

7 = 100

5 = X

5 x 100 / 7 = 71.42

Por lo tanto, en El Cerrito el 75% de la población habla una lengua distinta al español, mientras que en El Paseo dicho porcentaje es del 71.42%, con lo cual la diferencia de ambos es de 3.58%.

2- Dado que en una escuela del poblado El Cerrito, 18 de los 30 alumnos del grupo 6ºA aprobaron el examen de matemáticas, mientras que en el grupo 6ºB lo hicieron 32 de los 40 alumnos, para determinar qué grupo obtuvo mejores resultados y cuál es la diferencia entre ambos grupos se deben realizar los siguientes cálculos:

30 = 100

18 = X

18 x 100 / 30 = 60

40 = 100

32 = X

32 x 100 / 40 = 80

Por lo tanto, el 60% de los alumnos de 6ºA y el 80% de los alumnos de 6ºB aprobaron matemáticas, con lo cual la diferencia entre ambos grupos fue de 20% en favor del grupo 6ºB.

Answer:

Step-by-step explanation:

Finding the vertex or the end of the shape.

Find the y -intercept, (0,f(0)) ( 0 , f ( 0 ) ) .

Solve f(x)=0 f ( x ) = 0 to find the x coordinates of the x -intercepts if they exist.

Make sure that you've got at least one point to either side of the vertex. ...

Sketch the graph.

Answer:

b. $0.02[tex]/in^3[/tex]

Step-by-step explanation:

Given

[tex]r =1in[/tex]

[tex]h = 10in[/tex]

[tex]Cost_{1pk} =\$3[/tex]

[tex]Cost_{2pk} =\$5[/tex]

Required

The difference in the price per [tex]in^3[/tex]

First, calculate the volume (V) of the cylinder

[tex]V = \pi r^2h[/tex]

[tex]V = 3.14 *1^2 * 10[/tex]

[tex]V = 31.4[/tex]

The unit cost of 1 pack is:

[tex]Unit_{1pk} = \frac{Cost_{1pk}}{V}[/tex]

[tex]Unit_{1pk} = \frac{\$3}{31.4in^3}[/tex]

The unit cost of 2 packs is:

[tex]Unit_{2pk} = \frac{Cost_{2pk}}{2*V}[/tex]

[tex]Unit_{2pk} = \frac{\$5}{2*31.4}[/tex]

[tex]Unit_{2pk} = \frac{\$5}{62.8in^3}[/tex]

The difference (d) is:

[tex]d = |Unit_{2pk} - Unit_{2pk}|[/tex]

[tex]d = \frac{\$3}{31.4in^3} - \frac{\$5}{62.8in^3}[/tex]

Take LCM

[tex]d = \frac{\$6 - \$5}{62.8in^3}[/tex]

[tex]d = \frac{\$1}{62.8in^3}[/tex]

[tex]d = \$0.0159/in^3[/tex]

Approximate

[tex]d = \$0.02/in^3[/tex]

Answer:

b)

Step-by-step explanation:

had it on my quiz also give other dude brainliest.

9514 1404 393

Answer:

  125

Step-by-step explanation:

The sum of exterior angles of a convex polygon is 360°. So, y is ...

  y° = 360° -40° -65° -60° -70° = 125°

  y = 125

9514 1404 393

Answer:

  40

Step-by-step explanation:

The "initial value" is the value when x=0.

  [tex]f(x)=\dfrac{800}{1+19e^{-0.402x}}\\\\f(0) =\dfrac{800}{1+19e^0}=\dfrac{800}{1+19}=\dfrac{800}{20}\\\\=\boxed{40}[/tex]

The initial value is 40.

Answer:

a.) Average life of a refrigerator

b.) 0.1151

c.) 0.0548

d.) 0.6472225

Step-by-step explanation:

Given that :

Average life before replacement, mean, m = 14 years

Standard deviation, σ = 2 years

A.)

The random variable is the variable which is being measured.

B.) What is the probability that someone will keep a refrigerator fewer than 11 years before replacement?

Fewer than 11 years, P(x < 11)

We need to obtain the Z probability, at P(Z < 11)

The Zscore = (x - mean) / standard deviation

Zscore = (11 - 14) / 2.5 = - 1.2

P(Z < - 1.2) = 0.1151

C.) What is the probability that someone will keep a refrigerator more than 18 years before replacement?

More than 18 years, P(x > 18)

We need to obtain the Z probability, at P(Z > 18)

The Zscore = (x - mean) / standard deviation

Zscore = (18 - 14) / 2.5 = 1.6

P(Z > 1.6) = 0.0548

D.) What is the probability that someone will replace a refrigerator between 8 and 15 years?

P(x < 8)

The Zscore = (x - mean) / standard deviation

Zscore = (8 - 14) / 2.5 = - 2.4

P(Z < - 2.4) = 0.0081975

P(x < 15)

The Zscore = (x - mean) / standard deviation

Zscore = (15 - 14) / 2.5 = 0.4

P(Z < 0.4) = 0.65542

P(Z < 0.4) - P(Z < - 2.4)

0.65542 - 0.0081975 = 0.6472225

Answer:

15

Step-by-step explanation:

If you want to convert Oz to lb then divide by 16

240/16

15

Answer:

2x - 1 = y

2x - 1 = 2.5

Use inverse operations

2.5 + 1 = 3.5

3.5 / 2 = 1.75

2 x 1.75 - 1 = 2.5

x = 1.75

Answer:

7.67 > 7.64799

1.5566876 < 1.565687

Answer:

The team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

Step-by-step explanation:

Since a basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots, and altogether, the team made 52 baskets and 11 more 2-pointers than foul shots, to determine how many shots of each kind were made, the following calculations must be performed:

19 x 3 + 22 x 2 + 11 x 1 = 57 + 44 + 11 = 112

9 x 3 + 27 x 2 + 16 x 1 = 27 + 54 + 16 = 97

7 x 3 + 28 x 2 + 17 x 1 = 21 + 56 + 17 = 94

Therefore, the team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

Answer:

Step-by-step explanation:

i don’t know

Answer:

11.7

Step-by-step explanation:

39.1 - 9.2 = 29.9

29.9 - 18.2 = 11.7

Answer:

7 hours and 15 minutes

6 hours hours and 45 minutes

5 hours and 12 minutes

6 hours and 10 minutes

Step-by-step explanation:

MON: 7 1/4 hours

= 7 hours and 1/4 hours

1/4 hours = 1/4 × 60 minutes

= 60/4 minutes

= 15 minutes

7 1/4 hours = 7 hours and 15 minutes

TUE: 6 3/4 hours

= 6 hours and 3/4 hours

3/4 hours = 3/4 × 60 minutes

= 180/4 minutes

= 45 minutes

6 3/4 = 6 hours hours and 45 minutes

WED: 5 1/5 hours

= 5 hours and 1/5 hours

1/5 hours = 1/5 × 60 minutes

= 60/5 minutes

= 12 minutes

5 1/5 hours = 5 hours and 12 minutes

THU: 6 1/10 hours

= 6 hours and 1/10 hours

1/10 hours = 1/10 × 60 minutes

= 60/10 minutes

= 6 minutes

6 1/10 hours = 6 hours and 10 minutes

Answer:

-26

Step-by-step explanation:

5p + (-6)

Let p=-4

5(-4) + (-6)

Multiply

-20 +-6

Add

-26

Answer:

p=-4 which means that you do 5*-4-6 then you apply order of operations by multiplying first then you sub tract, so your answer is -26

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well there are 2 things you can do first.

You can multiply -5 * 3    (which is not a choice)

or you can evaluate 6^2 (which is given -- so this is what you can do first)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

Option B: [tex]y=-5x-6[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Slope-Intercept Form:}}\\\\------------\\y=mx+b\\\\\boxed{\text{\underline{Key}}}\\\\\rightarrow\text{m - slope}\\\\\rightarrow\text{b - y-intercept}[/tex]

⸻⸻⸻⸻

We are given the information of:

⸻⸻⸻⸻

[tex]\boxed{\text{Replace The Variables with The Appropriate Values:}}\\\\y=mx+b\\\\\rightarrow\text{-5 would replace 'm', -6 would replace 'b'.}\\\\\text{\underline{Therefore:}}\\\\y=mx+b\rightarrow\boxed{y=-5x-6}[/tex]

⸻⸻⸻⸻

Option B should be the correct answer.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x=6*4

Step-by-step explanation:

Answer:

B. 3

Step-by-step explanation:

Andy needs 1 jalapeno for every 3 tomatoes so if he only has 9, 9÷3=3

Answer:

150 cause subtract 150 from 270 you get 150

Answer:

r =3.4 mm

Step-by-step explanation:

circumference of a circle = 2πr

21.3 = 2*3.14*r

21.3 = 6.28*r

21.3 / 6.28 = r

3.39 = r

3.4 = r

Answer:

1,439.97

Step-by-step explanation:

Price x 1.07 = price including sales tax

price x 1.07=1540.77

price=1540.77/1.07

price= 1439.97

The price of the microscope before the sales tax was added when calculated is; $1439.97

We are told that Charlene paid $1540.77 (including sales tax) for a microscope. Thus, the price before sales tax can be gotten from the formula;

Price before sales tax × 1.07 = Price including sales tax

Thus, plugging in the relevant values;

Price before sales tax × 1.07 = 1540.77

Price before sales tax = 1540.77/1.07

Price before sales tax = $1439.97

Read more about Algebra Problems at; https://brainly.com/question/4344214

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120 different ways can you choose your dinner.

Given that, your mom suggested ten different choices for you to eat for dinner over the next week.

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

The combination formula is [tex]nC_{r} =\frac{n!}{r!(n-r)!}[/tex]

Here, n= number of sample points 10

r= number of sample points in each combination 7

Now, [tex]10C_{7} =\frac{10!}{7!(10-7)!}[/tex]

⇒[tex]10C_{7} =\frac{10!}{7!.3!}[/tex]=120

Hence, 120 different ways can you choose your dinner.

To learn more about the combinations visit:

https://brainly.com/question/13387529.

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Question: What is the solution to 2x^2+8x=x^2-16?

Answer: x=-4 is what I got I'm not sure if u meant to put one of the 4's as -4 but yeah I got -4 and did it twice and got -4 again. Hope that helped.