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1 year ago

If a 6-foot-tall baby giraffe casts a 4- foot-long shadow, then how tall is an adult giraffe that casts a 10-foot shadow?

Mathematics

2 answers:

Natalija [7]1 year ago

8 0

Answer:

8- foot shadow? i am not sure

irga5000 [103]1 year ago

5 0

Answer:

i believe its 12 feet!

Step-by-step explanation:

assuming that the difference from the 6 foot giraffe with a four foot shadow is two feet, the 10 foot shadow would be two feet less then the giraffes height.

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Need help question 4

zysi [14]

You need to find what 3 is if 5 is $520,000
$520,000 divided by 5 = 104,000
104,000 x 3 = 312,000

Therefore 3 is 312,000
Hope this helps :3

5 0

2 years ago

Write down the explicit solution for each of the following: a) x’=t–sin(t); x(0)=1

Kay [80]

Answer:

a) x=(t^2)/2+cos(t), b) x=2+3e^(-2t), c) x=(1/2)sin(2t)

Step-by-step explanation:

Let's solve by separating variables:

$x'=\frac{dx}{dt}$

a) x’=t–sin(t), x(0)=1

$dx=(t-sint)dt$

Apply integral both sides:

$\int {} \, dx=\int {(t-sint)} \, dt\\\\x=\frac{t^2}{2}+cost +k$

where k is a constant due to integration. With x(0)=1, substitute:

$1=0+cos0+k\\\\1=1+k\\k=0$

Finally:

$x=\frac{t^2}{2} +cos(t)$

b) x’+2x=4; x(0)=5

$dx=(4-2x)dt\\\\\frac{dx}{4-2x}=dt \\\\\int {\frac{dx}{4-2x}}= \int {dt}\\$

Completing the integral:

$-\frac{1}{2} \int{\frac{(-2)dx}{4-2x}}= \int {dt}$

Solving the operator:

$-\frac{1}{2}ln(4-2x)=t+k$

Using algebra, it becomes explicit:

$x=2+ke^{-2t}$

With x(0)=5, substitute:

$5=2+ke^{-2(0)}=2+k(1)\\\\k=3$

Finally:

$x=2+3e^{-2t}$

c) x’’+4x=0; x(0)=0; x’(0)=1

Let $x=e^{mt}$ be the solution for the equation, then:

$x'=me^{mt}\\x''=m^{2}e^{mt}$

Substituting these equations in c)

$m^{2}e^{mt}+4(e^{mt})=0\\\\m^{2}+4=0\\\\m^{2}=-4\\\\m=2i$

This becomes the solution m=α±βi where α=0 and β=2

$x=e^{\alpha t}[Asin\beta t+Bcos\beta t]\\\\x=e^{0}[Asin((2)t)+Bcos((2)t)]\\\\x=Asin((2)t)+Bcos((2)t)$

Where A and B are constants. With x(0)=0; x’(0)=1:

$x=Asin(2t)+Bcos(2t)\\\\x'=2Acos(2t)-2Bsin(2t)\\\\0=Asin(2(0))+Bcos(2(0))\\\\0=0+B(1)\\\\B=0\\\\1=2Acos(2(0))\\\\1=2A\\\\A=\frac{1}{2}$

Finally:

$x=\frac{1}{2} sin(2t)$

7 0

3 years ago

What is the surface area of a unit cube?

lisabon 2012 [21]

Answer:

6 units

Step-by-step explanation:

The total area that the surface of a 3-dimensional object would cover if its sides were laid flat is called it's surface area. Surface area is measured in square units. The surface area of a unit cube is 6 square units.

8 0

2 years ago

Which answer describes the function f(x)=2x^3-x^2 Odd Even Neither

velikii [3]

it is neither, it cannot be raised to a power unless it is 0 or 1 :)

5 0

3 years ago

What’s the average for1/2,1/3 and1/6

Ugo [173]

1/2+1/3+1/6=3/6+2/6+1/6=6/6=1
By putting them all at the same denominator, you can add them all together.
then you have to divide it by 3 for the three.
1/3 is the average.

3 0

3 years ago

If a 6-foot-tall baby giraffe casts a 4- foot-long shadow, then how tall is an adult giraffe that casts a 10-foot shadow?​

If a 6-foot-tall baby giraffe casts a 4- foot-long shadow, then how tall is an adult giraffe that casts a 10-foot shadow?