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Elena L [17]
3 years ago
11

The length of a rectangular sign is 5 times its width . If the sign's perimeter is 36 inches, what is the signs area in square i

nches
Mathematics
2 answers:
swat323 years ago
4 0

Answer: The area is 45 square inches.

Step-by-step explanation:

so if we know that the the length is 5 times the width then we could represent the length as  5x   and x for the width.  

And we  know the perimeter of the sign so we could set up equation to solve for the side lengths.

The perimeter of a rectangle is  2l + 2w  which means 2 times the length plus two times the width.

2(5x) + 2(x) = 36

10x + 2x = 36

12x = 36

x = 3

Now we know the value of x  so we will plot it into the length and with to find the actually side lengths.

length= 5(3) = 15

width=  3  

Check:  15 + 15 + 3 + 3 = 36  

Now we know the side lengths so to find the area we will have to multiply the length times the width.

3 * 15 = 45  

My name is Ann [436]3 years ago
3 0

Answer:

9 inches

Step-by-step explanation:

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Answer:

The Spiral of Theodorus is a construction of continuous right triangles, and each triangle has a side length of one representing the of the Pythagorean theorem, with the other sides filling in the spaces for the and in the theorem. hope that helped :)

Step-by-step explanation:

8 0
3 years ago
Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5​
nekit [7.7K]

Answer:

use the slope equation (y2-y1) / (x2 -x1). plug in values and solve

(-1 -7) / (9 -(-3)) (subtracting a negative is the same as adding a positive)

-8 / 12 (simplify)

m = -2/3

then, plug in one of the points and the slope into the slope-point equation.

(y - y1) = m (x - x1) (the point-slope form)

y - 7 = -2/3( x - (-3)) (plug in the slope and point 1 values, then solve)

y - 7 = -2/3x - 2 (add 7 to both sides)

y = 2/3x +5 (the answer)

Step-by-step explanation:

I hope this helps :))

4 0
3 years ago
What are all the true statements
Finger [1]

Answer:

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Step-by-step explanation:

3 0
3 years ago
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
BabaBlast [244]

Step-by-step explanation:

the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).

I think your teacher made a mistake, or you made one when typing the question in here.

there is no factor r that creates

15×r = 9

and

9×r = 5/27

it would mean that

15 × r² = 5/27

r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81

r = 1/9

but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9

and 9 × 1/9 = 9/9 = 1 is NOT 5/27

so, this can't be right.

on the other hand

15 × r = 9

r = 9/15 = 3/5

and then

9 × 3/5 = 27/5

so, either the sequence should have been

15, 5/3, 5/27

or (and I suspect this to be true)

15, 9, 27/5

under that assumption we have

s1 = 15

r = 3/5

sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)

s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =

= 3 × 19683/390625 = 59049/390625 =

= 0.15116544 ≈ 0.151

6 0
2 years ago
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