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3 years ago

Gavin's anemometer measures the wind speed at 44.14 kilometers per hour. 4 times faster than the wind speed 5 hours ago.

1 answer:

8 0

$x-searched\ speed\\\\4x=44.14\ \ \ \ \ \ |divide\ by\ 4\\\\x=11.035\\\\5\ hours\ ago\ the\ wind\ speed\ was\ 11.035\ kilometers\ per\ hour.$

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I need help with this please! ASAP<br> (PLEASE MULTIPLY AND SIMPLIFY COMPLETELY)

ivanzaharov [21]

Answer:

6/25

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is the reciprocal of 4 5/8

Andrei [34K]

Answer:

8/45

Step-by-step explanation:

Write 4 5/8 as an improper fraction: 45/8.

Then invert this result, obtaining:

. This is the "reciprocal" of 4 5/8.

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3 years ago

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The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m^2 and then divide it in half with a fence dow

Reika [66]

If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l

now $\bf \begin{cases}
A=l\cdot w\\\\\
A=3000000\\
----------\\
3000000=l\cdot w\\\\
\frac{3000000}{w}=l
\end{cases}\qquad thus
\\\\\\
P=3w+2l\implies P=3w+2\left( \cfrac{3000000}{w} \right)\implies P=3w+\cfrac{6000000}{w}
\\\\\\
P=3w+6000000w^{-1}\\\\
-----------------------------\\\\
now\qquad \cfrac{dP}{dw}=3-\cfrac{6000000}{w^2}\implies \cfrac{dP}{dw}=\cfrac{3w^2-6000000}{w^2}
\\\\\\
\textit{so the critical points are at }
\begin{cases}
0=w^2\\\\
0=\frac{3w^2-6000000}{w^2}
\end{cases}$

solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum

notice the $0=w^2\implies 0=w$ so. you can pretty much skip that one, though is a valid critical point, the width can't clearly be 0

so.. check the critical points on the other

8 0

3 years ago

The sum of the present ages of the mother and her daughter is 80 years. The mother was thrice as old as her daughter when she wa

Alika [10]

Answer:

let the daughter age be x

let mother age be 3x

Step-by-step explanation:

x+3x= 80

4x = 80

x= 80\4

x=20

daughter age is 20

mather age= 80 -20

= 60

daughter age 20

mother age 60

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3 years ago

An extremely large sink hole has opened up in a field just outside of the city limits. It is difficult to measure across the sin

abruzzese [7]

Triangle ABC and triangle DCE are congruent, so line DE = line AB

Use the cosine rule to find angle ACB
$52.2^{2}= 50^{2}+ 70^{2}-(2*50*70*cos(ACB))$
$2724.84=7400-(7000cos(ACB))$
$2724.84-7400=-7000cos(ACB)$
$-4675.16=-7000cos(ACB)$
$\frac{4675.16}{7000}=cos(ACB)$
$Angle ACB= cos^{-1} ( \frac{4675.16}{7000})$
Angle ACB = 48.1°

5 0

3 years ago