what is the answer to
(6x10x^{-5})x(8x10x^{7} )
written in standard form?

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

Work Shown:

sin(angle) = opposite/hypotenuse

sin(6) = a/5440

5440*sin(6) = a

a = 5440*sin(6)

a = 568.634840176034

a = 569 feet, which shows why choice B is the answer.

This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5

side note: 569 feet is roughly equal to 0.1078 miles.

The driver's increase in altitude is 569 feet.

Given that,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

We have to determine,

The driver's increase in altitude?

According to the question,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

The inclination is determined by using the sin angle.

Therefore,

The driver's increase in altitude is,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]

Where Perpendicular = a, angle = 6 degree and hypotenuse = 5,440ft.

Substitute all the values in the formula,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin6 = \dfrac{a}{5440}\\\\\rm 0.104= \dfrac{Perpendicular}{5440}\\\\Perpendicular = 5440 \times 0.104\\\\Perpendicular = 569 \ feet[/tex]

Hence, The driver's increase in altitude is 569 feet.

For more details refer to the link given below.

https://brainly.com/question/11280532

Answer:

x = 10

y = [tex]10\sqrt{2}[/tex]

Step-by-step explanation:

Let me know if you want an explanation.

Answer:

No, because the radicands are not the same

Step-by-step explanation:

Answer:

8 x X - 27 = 1789

Step-by-step explanation:

Is your expression.

Answer:

8x-27=1789

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 solution: x=13/3

Answer:

area = ½bh

= 1/2×11× 15

= 82.5 Square inches

82.5 Square InchesStep-by-step explanation:15x11/2 = 82.5

Answer: I believe the answer is C.

Step-by-step explanation: In special case isosceles right triangles the hypotenuse is always equal to a · √2. With a=5√2 we can set up the equation 5√2 · √2 = 10.

Answer:

I’m pretty sure the answer is $84

Step-by-step explanation:

Answer:

10% dicount

Step-by-step explanation:

76.50 / 85.00 = .9

The airplane cost 90% of its original value, meaning you have a 10% discount

10% of 85 =  .1 x 85 = 8.50

85.00 - 8.50 = 76.50

Answer:

0.0045045045

Step-by-step explanation:

Have a good day I hope this helps! :)

Answer:

The radius of the arc is 5

Step-by-step explanation:

An arc is a part of the circumference of a circle that has been cut out. It can be best understood as an incomplete circle. The length of the arc is how long the arc is.

The formula relating how long the arc is with its radius is

length of arc = [tex]\frac{\theta}{360} \times 2 \pi R[/tex]

where R is the radius we are looking for.

Θ = 135 which can be seen as the arc angle

[tex]R =\frac{l \times 360}{\theta \times 2 \pi} =\frac{(15 \pi /4) \times 360 }{135 \times 2 \pi}=5[/tex]

The radius of the arc = 5

Answer:

88%

Step-by-step explanation:

128-15=113

113/128=.882

88%

9514 1404 393

Answer:

  9 feet

Step-by-step explanation:

The sine relation applies.

  Sin = Opposite/Hypotenuse

  sin(30°) = height/(18 ft)

  height = (18 ft)sin(30°) = (18 ft)(1/2)

  height = 9 ft

The ladder extends 9 feet up the side of the building.

Answer:

In English, we would call these terms the “Greatest Common Denominator” and the “Least Common Multiple”. It looks like in Italian at least, MCM stands for “Minimo Comune Multiplo” (aka Least Common Multiple) and MCD stands for “Maximo Comune Divisor” (aka Greatest Common Denominator).

Step-by-step explanation:

I hope it works

Answer:

She answered 70% of the questions correctly.

i don't know what ur say can u be more specif sorry

Answer:

The answer is 12x+6y-24

Step-by-step explanation:

Answer:

12x + 6y -24

Step-by-step explanation:

Answer:

1145

Step-by-step explanation:

830(2) 28/13

​   ^ do that ok??????? plug it in!!!!!!!!

then do u know what u will get? u will get this !!!!!! y = 1145.09631989

round 2 da whole numba and den boom shakalaka B ) i got my question wrong so that i could put the right answer here. bye yall

The number of bacteria doubling every 28 hours will be 1145 after 13 hours.

The formula for exponential growth is y = y₀.e^(kt).

The formula for exponential decay is y = y₀.e^(-kt).

In the case of doubling the growth of bacteria, we can use the formula,

[tex]y_f = y_0\times2^{\frac{t_r}{t}[/tex], where [tex]y_f[/tex] represents the final population, [tex]y_0[/tex] is the initial population, [tex]t_r[/tex] is the time we are required to determine, and [tex]t[/tex] represents the time rate growth.

Therefore from the given information, the number of bacteria after 13 hours will be,

[tex]y_f = 830\times2^{\frac{13}{28}[/tex].

[tex]y_f = 830\times1.38[/tex].

[tex]y_f = 1144.86[/tex] or 1145 bacterias.

Q. In a lab experiment, 830 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 28 hours. How many bacteria would there be after 13 hours, to the nearest whole number?​

learn more about bacteria growth problems here :

https://brainly.com/question/14106525

#SPJ2

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

Cacique comes from the Taíno word kassiquan, meaning "to keep house". In 1555 the word entered the English language as "prince". In Taíno culture, the cacique rank was hereditary and sometimes established through democratic means.

hope it helps you,

Mark me as the brainliest....

Follow me!

Answer:

Number = 250

Step-by-step explanation:

Let x = "a number"

Difference means subtraction:

3x - (12^2 + 92) = 514

3x = "three times a number"

12^2 + 92 = "the sum of twelve squared and ninety two"

Solve from there.

Answer:

The slope will be y=x-1 because it parallels to y=x+5 and hits point (3,2)

Step-by-step explanation:

Hope This Helped

Answer:

100 Times larger.

Step-by-step explanation:

4500000/45000=100

Answer:

what graph ? i do not see one

Step-by-step explanation:

Answer:

f(x)=-4x+22

f(12)=-4×12+22=-48+22=-26 if your

Step-by-step explanation:

question is f(x)=-4x+22

Answer:

equation: x(1.25) + 6.75 = 31.75 refills: 20

Step-by-step explanation:

The mug costs $6.75, and you aren't buying multiple cups, so that number stays the same. The number of refills is "x" since we do not know the amount. Next to "x" we multiply 1.25 for the cost of each refill. So now we have "x(1.25)" then we add $6.75 to the equation, for the mug price. Along with the total at the end. To which we now have "x(1.25) + 6.75 = 31.75"

Now we solve the equation. First, subtract 6.75 from each side

x(1.25) + 6.25 = 31.75

            -6.25    -6.25

Now we have "x(1.25) = 25" So we have to divide each side by 1.25

x(1.25/1.25) = 25/1.25

                x = 20

Therefore, Kim bought 20 refills. To check our work we can replace x with 20 in the original equation.

20(1.25) + 6.75 = 31.75

        25 + 6.75 = 31.75

                31.75 = 31.75

I'm not the best at explanations, but I hope this helped! :)