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3 years ago

What is the area of the rectangle

Mathematics

1 answer:

OLEGan [10]3 years ago

3 0

To find the area of a rectangle, we must use the formula, A = lw, where the variable l represents the length of the rectangle and the variable w represents the width of the rectangle. To find the area, we just have to substitute in the values we are given for the length and width (shown in the picture above) to calculate the area. This is modeled below:

A = lw

A = 12 cm * 5 cm

To solve, we simply multiply the two factors on the right side of the equation to find the area. Remember that because we are multiplying these two numbers together, we should end up with an answer that has squared units!

A = 60 cm²

Therefore, your answer is that the area of the rectangle is 60 cm².

Hope this helps!

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Maurinko [17]

Answer:

2

Step-by-step explanation:

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3 years ago

Given that 3x+2y=5a+b and 4x-3y=a+7b, solve for y-x in terms of a and b.

Eduardwww [97]

Answer:

y - x = - 2 b

Step-by-step explanation:

Given-

3 x + 2 y = 5 a + b...................(i)

4 x - 3 y = a + 7 b.....................(ii)

Multiply by 3 and 2 in equation (i) & (ii) respectively-

Add equation (iii) & (iv)-

9 x + 6 y = 15 a + 3 a...................(iii)

8 x - 6 y = 2 a + 14 b ...................(iv)

17 x = 17 a + 17 b

x = a + b

Put x = a + b in equation (i)-

2 y = 5 a + b - 3 a - 3 b

2 y = 2 a - 2 b

y = a - b

∴ y - x = a - b - ( a + b )

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2 years ago

Nick will move a storage bin from its current location to the new location shown on the coordinate plane. Describe how Nick coul

nlexa [21]

Answer:

Move downward by 7 units

Move leftward by 6 units

$(x,y) \to (x -6,y-7)$

Step-by-step explanation:

Given

See attachment for grid

Required

The transformation from the current location to the new location

To do this, we pick two corresponding points on the current location and the new location.

We have:

$A = (3,2)$ -- Current location

$A' = (-6,-5)$ -- New location

First, move A downwards by 7 units.

The rule to this is:

$(x,y) \to (x,y-7)$

So, we have:

$(3,2) \to (3,2-7)$

$(3,2) \to (3,-5)$

Next, move the above points leftward by 6 units.

The rule to this is:

$(x,y) \to (x-6,y)$

So, we have:

$(3,-5) \to (3-6,-5)$

$(3,-5) \to (-3,-5)$

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2 years ago

If f(x) varies directly with x and f(x)=40 when x=8, find the value of f(x) when x=2.

melamori03 [73]

f(x)=40

x=8

so if x=2 it would be 40/8 which is 5

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2 years ago

Read 2 more answers

What is the greatest common factor of 90, 126, 180 and 990?

mylen [45]

9514 1404 393

Answer:

Step-by-step explanation:

90 = 18·5

126 = 18·7

180 = 18·10

990 = 18·55

The greatest common factor of these numbers is 18.

Comment on the GCF

It can be useful to know Euclid's algorithm for finding the GCF:

Determine the remainder from dividing the larger number by the smaller.
If the remainder is zero, the smaller number is the GCF. If the remainder is non-zero, use it to replace the larger number and repeat from step 1.

For example, 126 mod 90 = 36; 90 mod 36 = 18; 36 mod 18 = 0, so 18 is the GCF of 126 and 90. (The modulo function 'mod' returns the remainder from division.)

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2 years ago