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aleksandrvk [35]
3 years ago
13

The area of a rectangle is 105 square centimeters. The width of the rectangle is 7 centimeters. What is the perimeter of the rec

tangle?
Mathematics
2 answers:
Ulleksa [173]3 years ago
5 0
44 because 105 ÷ 7 = 15.
So (7*2)+(15*2)=44
Orlov [11]3 years ago
5 0

Answer:

44cm

Step-by-step explanation:

The information we have is:

Area: Area=105cm^2

width: w= 7cm

------------

To find the perimeter first we need to find the length of the rectangle.

We find it with the formula for the area of a rectangle:

Area=width*length

so clearing for length:

length=\frac{Area}{width}

substituting known values:

length = \frac{105cm^2}{7cm}\\ length = 15cm

And now we can calculate the perimeter:

perimeter = 2(width+length)\\perimeter = 2(7cm+15cm)\\perimeter =2(22cm)\\perimeter=44cm

the perimeter of the rectangle is 44cm

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What is the value of 100?
Nesterboy [21]

Answer:

10

Step-by-step explanation:

Means back the numbers into multiples of several small numbers

Like:; 1. We take LCM of 40

Just break into multiples of small number

40= 2×2×2×5

2. We take LCM of 50

50= 5×5×2

So LCM for 100 is 2×2×5×5

after that see the pairs in the LCM like 2×2 or 3×3 or 4×4(same numbers)

Then write the the single number in place of two multipled numbers

Like:; 2×2 is written as 2 // 3×3 is written as 3

So we can write 100 into 2×2×5×5 and then after selecting pairs (2×2)×(5×5)

write pairs in single number 2×5

And so we get 2×5=10

So we find root of 100 that is 10

8 0
3 years ago
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(5x+3)(5x+3)gghhhhhhhh
Stella [2.4K]

Answer:

25x^2 + 30x + 9

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3 years ago
In recent history, calculus students have been expected to work out partial fraction expansions by hand.
Nina [5.8K]

Answer:

true

Step-by-step explanation:

4 0
3 years ago
(20 pts!) if the base of the roof has length 40 feet and x=30, which of the following gives the height of the roof?
musickatia [10]

Answer:

23.094 ft approximately

(If you want your answer in a different format, let me know please.)

Step-by-step explanation:

I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.

But I think they want you to use the formula:

l=\frac{b}{\cos(x)}.

l=\frac{40}{\cos(30)}

Input into calculator:

l=46.188 (approximation)

l represents the length of the roof.

So we have l=46.188 and b=40.

We must use the Pythagorean Theorem to find the height,h, for of the roof.

l is the hypotenuse.

h^2+40^2=46.188^2

h^2+1600=2133.331

Subtract 1600 on both sides:

h^2=533.331

Take square root of both sides:

h=23.094

The answer is 23.094 feet for the height that roof reaches on the building.

I want to show you another way:

\tan(x)=\frac{\text{opposite}}{\text{adjacent}}

\tan(30)=\frac{h}{40}

Multiply both sides by 40:

40\tan(30)=h

Input into calculator:

23.094=h

I didn't do it this way because your problem suggested you use their formula to find the height.

8 0
3 years ago
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How many numbers of solutions are there for the following equation<br> 2(4x+1) −5x +2 = 3x+4
soldier1979 [14.2K]

Answer:

infinite solutions

Step-by-step explanation:

2(4x+1) −5x +2 = 3x+4

Distribute

8x +2 -5x +2 =3x+4

Combine like terms

3x +4 = 3x+4

Subtract 3x from each side

3x-3x+4 = 3x-3x+4

4=4

This is always true, so there are infinite solutions

8 0
3 years ago
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