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2 years ago

Square ABCD has side length a. Half circles with

Mathematics

1 answer:

Inga [223]2 years ago

7 0

The area of the shaded region is $0.215a^2$

<h2>Area of composite objects</h2>

The area of the shaded region is expressed according to the formula:

$A = A_s - A_c$

Get the area of the square As

As = a²

$A_c = \pi (0.5a)^2\\
A_c = 0.785a^2$

Take the difference in the areas

Area of the shaded part = $a^2-0.785a^2\\
$

Area of the shaded part = $0.215a^2$

Hence the area of the shaded region is $0.215a^2$

Learn more on area of composite objects here: brainly.com/question/22716761

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Solve 26×6 using distributive

Cerrena [4.2K]

Answer:

Step-by-step explanation:first use parenthisis to seperate it and make it eisier to solve..sorry if my spelling is bad..

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2 years ago

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Which equation represents the circle described? (in picture)

Sedaia [141]

You are right. In circle equation we have =r² so the correct answer will be C od D. But we have to calculate the center of a circle.

$x^2+y^2-8x-6y+24=0\quad|-24\\\\(x^2-8x)+(y^2-6y)=-24$

Complete the square:

$x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2$

And we have:

$(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\
(x-4)^2+(y-3)^2-16-9=-24\\\\(x-4)^2+(y-3)^2-25=-24\quad|+25\\\\\boxed{(x-4)^2+(y-3)^2=1}$

So the answer is C (the same left side of equation).

6 0

3 years ago

1 and 16/24 + 1 and 21/24

AlexFokin [52]

Answer:

turn into improper fractions

1*24+16=40

40/24

1*24+21=45

45/24

40/24+45/24=85/24

work out how many times 24 goes into 85 to get back to a mixed number.

24 goes into 85 three times with 13 left over so the answer is

3 and 13/24

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2 years ago

I need help please!!! thank you so much to the person who is going to help me.

zaharov [31]

Answer:

22x - 14

Step-by-step explanation:

pretty sure its like this..

3(4x-3)+5(2x-1)

= 3×4x + 3×(-3) + 5×2x + 5×(-1)

= 12x + (-9) + 10x + (-5)

and according to the rules of multiplying negative by positive...

= 12x - 9 + 10x - 5

combine like terms using the symbols on its left

= 12x + 10x - 9 - 5

= 22x - 14

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2 years ago

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Answer for number 12

aalyn [17]

Answer:

12 a. 4605 feet 12 b. 1,459,063 square feet

Step-by-step explanation:

For the perimeter, we simply add the lengths of each of the 5 sides together (or multiply 5 times one side length).

P = 5(921)

P = 4605 feet

For the area, we will use composition...add the area of the triangle to the area of the trapezoid.

For the area of the triangle, the formula is

$A=\frac{1}{2}bh$ .

Filling in our values gives us

$A=\frac{1}{2}(1490)(541)$ and

A = 403,045 square feet.

Now for the trapezoid. The formula for a trapezoid is

$A=\frac{1}{2}(b_{1}+b_{2})(h)$

where the b's represent the bases and the h represents the height. Filling in our values gives us

$A=\frac{1}{2}(921+1490)(876)$

Work inside the parenthesis first:

$A=\frac{1}{2}(2411)(876)$ and

A = 1,056,018

Now we add those together to get that area of the Pentagon is 1,459,063 square feet

4 0

2 years ago