The length of a rectangular block is 20 inches. Its width is half its length.

Mathematics

1 answer:

cupoosta [38]2 years ago

6 0

Answer:

width is 10 and the height is 5

Step-by-step explanation:

when divide 20 by 2 it gives you 10 and if you divide 10 by 2 it gives you 5 hope i helped

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What is the value of x

Anika [276]

We know that the right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees.

To find x:

(10x - 20) + (6x + 8) = 180

16x - 12 = 180

+12 +12

16x = 192

----- -----

16 16

x = 12

Check:

(10(12) - 20) + (6(12) + 8) = 180

(120 - 20) + (72 + 8) = 180

100 + 80 = 180

180 = 180

Angle (10x - 20):

(10(12) - 20)

(120 - 20)

100

Angle (6x + 8):

(6(12) + 8)

(72 + 8)

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A certain country's postal service currently uses 55-digit zip codes in most areas. how many zip codes are possible if there a

VashaNatasha [74]

There would be 100,000 if there are no restrictions on the digits and 90,000 if they cannot use 0 as the first digit.

If there are no restrictions, there are 10 possibilities for each digit:
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2 years ago

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

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