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2 years ago

PLEASE:

Mathematics

1 answer:

Tju [1.3M]2 years ago

3 0

Answer:

63.59 in²

Step-by-step explanation:

The formula to find the area of a square: a², where a is the side.

The formula to find the area of a circle: πr², where r is the radius (diameter ÷ 2), and the pi is alterable (3.14 or 3.142 or 22/7).

1) Find the diameter of the circle. The side of a square is the diameter.

a²

a = √81

a = 9

2) Plug the values into the formula of the area of a circle. 9 ÷ 2 = 4.5 (radius).

= 3.14 x 4.5²

= 3.14 x 20.25

= 63.585

3) Round off the result to the nearest hundredth.

= 63.59

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Which property states that if a = b and b = c, then a = c?

Step2247 [10]

Transitive.

Associative is (a + b) + c = a + (b + c)

Commutative is a + b = b + a

Reflexive is a = a

Thus, transitive is the correct answer.

Hope this helps!

6 0

3 years ago

Find the area of the region that lies under the parabola y=5x - x^2, where 1≤x≤4. I would definitely like to see some work :)

Elena L [17]

Answer:

16.5 square units

Step-by-step explanation:

You are expected to integrate the function between x=1 and x=4:

$\displaystyle\text{area}=\int_1^4{(5x-x^2)}\,dx=\left.\left(\dfrac{5}{2}x^2-\dfrac{1}{3}x^3\right)\right|_{x=1}^{x=4}\\\\=\dfrac{5(4^2-1^2)}{2}-\dfrac{4^3-1^3}{3}=37.5-21=\boxed{16.5}$

Additional comment

If you're aware that the area inside a (symmetrical) parabola is 2/3 of the area of the enclosing rectangle, you can compute the desired area as follows.

The parabolic curve is 4-1 = 3 units wide between x=1 and x=4. It extends upward 2.25 units from y=4 to y=6.25, so the enclosing rectangle is 3×2.25 = 6.75 square units. 2/3 of that area is (2/3)(6.75) = 4.5 square units.

This region sits on top of a rectangle 3 units wide and 4 units high, so the total area under the parabolic curve is ...

area = 4.5 +3×4 = 16.5 . . . square units

4 0

2 years ago

Absolute Value Equation | -4 + 5x |= 16 Please show how to do the problem.

Gemiola [76]

If you have |a|=b, solve a=b and a=-b

so
|-4+5x|=16
so solve
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add 4 to both sides
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divide both sides by 5
x=4 and x=-12/5

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3 years ago

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timurjin [86]

Answer:

-2/3x+y=6

Step-by-step explanation:

Standard form is just x+y=n, so all that we have to do it get that x over by subtraction.

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3 years ago

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gogolik [260]

Answer:

There are 1,000 mL in a L

Step-by-step explanation:

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2 years ago