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4 years ago

A train traveled a distance of 1 mile, or 5,280 feet, while climbing a hill at an angle of 5°.

1 answer:

7 0

You can draw a right triangle where>

1) the distance traveled, i.e. 5280, is the hypotenuse

2) the opposite-leg is the vertical height that you need to calculate

3) the angle is 5°.

Therefore you can use the trigonometric ratio sine, which is:

sin(angle) = opposite-leg / hypotenuse = vertical height / distance traveled

= vertical height = distance traveled * sin (angle)

=> vertical height = 5,280 ft * sin(5°) = 460,18 ft

Answer: 460,18 ft

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Four less than the product of 6 and a number n is -30.<br> What is the number? _____

kherson [118]

Answer:

Step-by-step explanation:

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3 years ago

Change each decimal to a percent 6.215 show work and steps listed on the side

tiny-mole [99]

Answer:

621.5%

Step-by-step explanation:

To convert 6.215 to a percent, multiply 6.215 by 100%: 6.215(100%) = 621.5%

6 0

3 years ago

A 12-cm-long thin rod has the nonuniform charge density λ(x)=(2.0 nC/cm)e−|x|/(6.0 cm), where x is measured from the center of t

Inessa [10]

Answer:

the total charge is

$Q=24(1-\exp(-1))nC\approx15.171nC$

Step-by-step explanation:

Since x is measured from the center, that means that x=0 is the center so the edges of the rod correspond to x=-6 and x=6. that meas that the total charge can be calculated as

$Q=\int^{6}_{-6}2\exp\left(\frac{-|x|}{6}\right)dx$

separating the integral from -6 to 0 and from 0 to 6, taking into account that |x|=-x for x<0 and |x|=x for x >=0, we get $Q=\int^{0}_{-6}2\exp\left(\frac{x}{6}\right)dx+\int^{6}_{0}2\exp\left(\frac{-x}{6}\right)dx$

using the substitution x=-u in the first integral we get $\int^{0}_{-6}2\exp\left(\frac{x}{6}\right)dx=-\int^{0}_{6}2\exp\left(\frac{-u}{6}\right)du=\int^{6}_{0}2\exp\left(\frac{-u}{6}\right)du$

which is the same as the first integral. Thus, the total charge is given by

$Q=2\int^{6}_{0}2\exp\left(\frac{-x}{6}\right)dx$

integrating we get

$Q=4(-6\exp\left(\frac{-x}{6}\right))\big|^{6}_{0}=-24(\exp(-6/6)-\exp(0))=24(1-\exp(-1))$

4 0

3 years ago

fiasKO [112]

Info from question brainly.com/question/1025208

so we have
f(x)=3x-4 and
g(x)=x(2)-2
the x(2) should mean 2 times x or 2x, but if it means x^2 then
g(x)=x^2-2
solution set is represented by S={solutions}
so to see what values make them equal, we set them equal to each other

if x(2)=2x then go to AAAAAAAAAA
if x(2)=x^2 then go to BBBBBBBBBBBBB

AAAAAAAAAAAA
3x-4=2x-2
subtract 2x from boths ides
x-4=-2
add 4 to both sides
x=2
therefor the number that would satisfy the thingumy is the value of 2 so
S={2}

BBBBBBBBBB
3x-4=x^2-2
subtract (3x-4) from both sides
0=x^2-3x+2
factor
(x-2)(x-1)=0
set each to zero
x-2=0
x=2

x-1=0
x=1

so the answer is x=1 or 2 so
S={1,2}

so the answer is
if x(2)=2x then S={2}
if x(2)=x^2 then S={1,2}

8 0

3 years ago

What is the estimate of 95×17

rusak2 [61]

The estimate is 1,615

8 0

3 years ago

Read 2 more answers