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2 years ago

Find the area of the region (in square units) exact number

Mathematics

1 answer:

Margaret [11]2 years ago

3 0

The area of the region = area of the two rectangles = 64 units².

<h3>How to Find the Area of Rectangles?</h3>

A rectangle has a length and a width, and its area can be calculated using the formula below:

area of rectangle = (length)(width).

The region shown is composed of two rectangles. To find the area of the region, calculate the area of each of the rectangles in the image given.

Area of rectangle 1 = (length)(width)

Length = 12 units

Width = 4 units

Area of rectangle 1 = (12)(4)

Area of rectangle 1 = 48 units²

Area of rectangle 2 = (length)(width)

Length = 4 units

Width = 4 units

Area of rectangle 2 = (4)(4)

Area of rectangle 2 = 16 units²

The area of the region = area of the two rectangles = 48 + 16 = 64 units²

Learn more about the area of rectangle on:

brainly.com/question/25292087

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Determine the exact and approximate circumference of the circle.

madam [21]

Answer:

C (circumference) =2×π×r

we've got a 30-60-90 triangle

which means 9=d√3, d=5.19 exact inches

or ≈5.20 inches

d=2r, r=5.20÷2≈2.60 inches

C=2×3.14×2.60≈16.328

3 0

3 years ago

The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?

Snezhnost [94]

Answer:

There are two possibilities:

$x_{1} = 3.5$ and $y_{1} = 6.4$

$x_{2} = 6.4$ and $y_{2} = 3.5$

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

$x + y = 9.9$

$x^{2} + y^{2} = 53.21$

First, $x$ is cleared in the first equation:

$x = 9.9 - y$

Now, the variable is substituted in the second one:

$(9.9-y)^{2} + y^{2} = 53.21$

And some algebra is done in order to simplify the expression:

$98.01-19.8\cdot y +2\cdot y^{2} = 53.21$

$2\cdot y^{2} -19.8\cdot y +44.8 = 0$

Roots are found by means of the General Equation for Second-Order Polynomials:

$y_{1} \approx \frac{32}{5}$ and $y_{2} \approx \frac{7}{2}$

There are two different values for $x$ :

$y = y_{1}$

$x_{1} = 9.9-6.4$

$x_{1} = 3.5$

$y = y_{2}$

$x_{2} = 9.9 - 3.5$

$x_{2} = 6.4$

There are two possibilities:

$x_{1} = 3.5$ and $y_{1} = 6.4$

$x_{2} = 6.4$ and $y_{2} = 3.5$

5 0

3 years ago

A family of 5 monkeys eats 2 bananas per day each. How many bananas do they eat in 4 days?

valkas [14]

Answer:

Step-by-step explanation:

A family of 5 monkeys eat 2 bananas a day.

to figure out how much the monkeys will eat in 4 days

multiply 2 by 4.

make sure the question is not for each monkey or the answer will be

(2 by 4) by 5. witch would be 40

however for the case your saying the answer would be 8

8 0

3 years ago

Please help i know it a lot but please

blsea [12.9K]

Answer:

I have no clue

Step-by-step explanation:

I'm in middle school I don't know

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3 years ago

Please help me i need to solve for RS

Sonbull [250]

Answer:

Step-by-step explanation:

RV=VU and SW=WT ⇒ $VW=\dfrac{RS+UT}{2}$

So:

$3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}\\\\3x+5=4x-11\\^{\qquad-5\qquad-5}\\3x=4x-16\\^{-4x\qquad-4x}\\-x=-16\\^{\div(-1)\quad\div(-1)}\\x=16\\\\RS=2x+15=2\cdot16+15=32+15=47$

5 0

3 years ago