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3 years ago

If the perimeter of a rectangle is 318 inches, find the width and length. what's the answer?

Mathematics

2 answers:

Igoryamba3 years ago

7 0

Is there any other known values?

RUDIKE [14]3 years ago

6 0

If those Length and Width are consecutive integers then we can calculate the answer by following:

let's consider that Length is n
Then width will be n+1

Perimeter of rectangle is equal to 2*(L+W) in this case
P = 2*(n + [n+ 1]) = 2*(n + n + 1) = 2(2n + 1)

P = 318

318 = 2(2n+1)
159 = 2n+1
159 - 1 = 2n
158 = 2n
79 = n

So this means that Length is 79 and Width is 80
or vice versa, Length is 80 and Width is 79

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nlexa [21]

Answer:

Step-by-step explanation:

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Each side of the base of the pyramid is 9 cm and the height of the pyramid is 10 cm (as shown in figure below)

also, To get the wax for the candle, Devin melts cubes of wax that are each 4 cm by 4 cm by 4 cm

We have to find the number of wax cubes will Devin need in order to make the candle.

Consider Wax cubes of dimension 4 cm by 4 cm by 4 cm

Volume of cube = (side)³

Thus, Volume of one wax cube is given by = (side)³

Volume of one wax cube = (4)³= 64 cm³

Now we find the volume of square pyramid.

Volume of square pyramid =

Thus,Volume of given square base with base side 9 cm and height 10 cm is

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7 0

3 years ago

5. I need help with question in the attached picture!

igomit [66]

ANSWER

x=100,y=10

EXPLANATION

The given logarithmic equations are;

$log_{10}( {x}^{2} {y}^{3} ) = 7$

This implies that,

${x}^{2} {y}^{3} = {10}^{7} ...(1)$

and

$log_{10}( \frac{x}{y} ) = 1$

This implies that,

$\frac{x}{y} = {10}^{1}$

$x = 10y...(2)$

Put equation (2) into equation (1)

${(10y)}^{2} {y}^{3} = {10}^{7}$

$10 ^{2} y^{2} {y}^{3} = {10}^{7}$

${y}^{5} = {10}^{5}$

Hence y=10.

This implies

$x = 10(10) = 100$

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dedylja [7]

Answer:

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3 years ago

Help? Please?<br> I really suck at geometry

Maslowich

Answer:

x = 14

y = 4

Explanation:

Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.

So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.

So we can write the equation x = y + 10.

Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.

So, we can write the equation 4y = x + 2.

Now we have the equations $\left \{ {{x=y+10} \atop {4y=x+2}} \right.$ you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.

If you graph these two equations they'll intersect at the solution ( 14, 4 ). I'll include the graph in my images as well.

To check your answer, you can plug in x and y and see if the triangle sides end up being the same length. I did and it was correct.

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3 years ago