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slava [35]
3 years ago
8

The figure shown is a rectangle. The green shape in the figure is a square. The blue and white shapes are rectangles, and the ar

ea of the blue rectangle is 24 square inches.

Mathematics
2 answers:
mixas84 [53]3 years ago
7 0
What is the question?

denpristay [2]3 years ago
3 0

The question is incomplete. So, here is the complete question.

The figure shown (in the attachment) is a rectangle. The green shape in the figure is a square. The blue and white shapes are rectangles and the area of the blue rectangle is 24 square inches. A.) Write an expression for the area of the entire figure that includes one exponent. Then find the area. B.) Find the dimensions of the entire figure.

Answer: A.) The expression is A_{t} = (2*6) + (8*3) + (6^{2} ) and total area is 72 square inches.

B.) width = 8in and length = 9in.

Step-by-step explanation: Area of a rectangle is A = width*length.

From the figure, we know the area and the measurements of the white rectangle: width = 2 inches; length = 6 inches.

So the area for white is A_{w} = 2*6

The green shape is a square, which means width = length. So, A_{g} = 6*6

For the blue shape:

length = length of green + width of white

length = 6+2 = 8

To determine the width, we use the area of blue.

A_{b} = length*width

width = \frac{A_{b} }{length}

width = \frac{24}{8}

width = 3

So, the area of the entire figure is A_{t} = A_{w} + A_{b} + A_{g}

Substituing, we have:

A.) A_{t} = A_{w} + A_{b} + A_{g}

A_{t} = (2*6) + (8*3) + (6^{2} )

A_{t} = 72 square inches

B.) The dimensions of the entire figure are:

width = 6 + 2 = 8 in

length = 6 + 3 = 9 in

Therefore, the figure has 8 inches of width and 9 inches of length.

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nexus9112 [7]

Answer:

162.12385 cubic inches

Step-by-step explanation:

Assuming finding the area and circumference of the shaded area.

Triangle with 3 sides and 90 degrees on one side, we can use the Pythagorean Theorem to solve for the missing side.

Pythag. Theorem says

a^2 + b^2 = c^2

//a and b are the 2 small sides touching to the 90 degree angle

//^2 means squared, or the number multiplied by itself

(16)^2 +(30)^2 = c^2

16x16 + 30x30 = c^2

256 + 900 = c^2

1156 = c^2

Take the square root of both sides to get rid of (^2) from the right side of the equation.

sqrt(1156) = sqrt(c^2)

34 = c

So the longest side is 34 inches.

Coincidentally, this is the diameter of the Half Circle.

The radius = (diameter/2) = 34/2 = 16 inches

radius = 16 in.

Circumference of a Circle formula:

C = 2*pi*r; pi=3.14; r = radius

But this is a half circle, so C = pi*r = 3.14*16 = 50.2654

Now to find the area its a little more work.

Area of shaded part is equal to

Area of half circle   minus    area of triangle

Area of Circle: pi*r^2

-->since half circle: Area of half circle is: (pi*r^2)/2

Area of triangle: (base*height)/2: (16*30)/2

A of circle - A of triangle

(3.14*16^2)/2 - (16*30)/2

Area of shaded region = 162.12385

7 0
3 years ago
After solving an equation, you end up with integers on both sides of the equation. What can you interpret about the equation are
murzikaleks [220]

Answer:

The equation is:

An identity

Has infinitely many solutions

No solution

Step-by-step explanation:

Because there is integers on both sides, we know that any attempts to fix this will either cause an identity, or a false numerical equation(an identity but <em>w r o n g</em>).(Note, an identity can either mean 2 = 2 or x = x).

Identities have infinite solutions, because it does not matter what you put in, the equation will always be true. False equations do not have a solution because they aren't even true equations.

Hope this helps!

5 0
3 years ago
Do you know the inequality? Please explain and show answer :)
DerKrebs [107]
If u have a open circle, then the inequality has no equal sign. But if it is a closed circle, the inequality has an equal sign.
Shading to the left means " less then " .
Shading to the right means " greater then " .

(1) u have an open circle on -7 with shading to the left....
     x < -7

(2) u have a closed circle on 4.5 with shading to the left....
    x < = 4.5 (thats less then or equal)

(3) u have an open circle on -5 with shading to the right...
     x > -5

(4) u have an open circle on 1.5 with shading to the right...
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4 0
3 years ago
What is the percentage of sugar in the syrup made of 10kg of water and 5kg of sugar? Hi and have a good day :D
arsen [322]

Answer:

33.33%

Step-by-step explanation:

the syrup has a total of 15kg of ingredients, 5kg of it is sugar, so 15/5 which will end as 33.33%

8 0
3 years ago
Read 2 more answers
What is the value of x?
Usimov [2.4K]

Answer:

All angles in a triangle sum up to 180 degrees.

So, 63+71+x=180 degrees.

You add like terms: 134, and then add x.

134+x=180 degrees.

Minus x from both sides.

180-134=x.

What do you think x is?

3 0
3 years ago
Read 2 more answers
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