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bogdanovich [222]
2 years ago
8

Estimate the perimeter and area of the figure to the nearest whole number. Please help!!

Mathematics
2 answers:
solniwko [45]2 years ago
8 0

Answer:

29 ; 37

Step-by-step explanation:

The figure is composed by a square, a rectangle, and a right triangle

The perimeter of the square is 6 units

The perimeter of the rectangle is 10 units

The triangle is composed by a side of 6 units and a side of 5 units

The third side can be find with the Pythagorean theorem

\sqrt{6^2 + 5^2} = \sqrt{36 + 25} = \sqrt{61} = 7,81025

The total perimeter is

6 + 10 + 5 + 7,81025 = 28,81025 = 29

Area of the square = 2^2 = 4 square units

Area of the rectangle = 6 x 3 = 18 square units

Area of the triangle =  (5 x 6)/2 = 15 square units

Total area = 4 + 18 + 15 = 37 square units

gladu [14]2 years ago
7 0
Answer:

29; 37

Step-by-step explanation:

The figure is composed by a square, a rectangle, and a right triangle

The perimeter of the square is 6 units

The perimeter of the rectangle is 10 units

The triangle is composed by a side of 6 units and a side of 5 units

The third side can be find with the Pythagorean theorem √62 +52 √36 + 25 = √61 = 7,81025 = +25

The total perimeter is

6+10+5+7,81025 = 28,81025 = 29

Area of the square = 2^2 = 4 square units Area of the rectangle = 6 x 3 = 18 square units Area of the triangle = (5 x 6)/2 = 15 square units

Total area = 4 + 18 + 15 = 37 square units
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Construct a polynomial function with the following properties: third degree, only real coefficients, −3 and 3+i are two of the z
irina [24]

Answer:

\boxed{-3(x+3)(x^2-6x+10)}

Step-by-step explanation:

Hello,

As the polynomial has only real coefficients, it means that 3-i is a zero too, because we apply the Conjugate Zeros Theorem.

It means that we can write the expression as below, k being a real number that we will have to identify.

k(x+3)(x-3-i)(x-3+i)=k(x+3)((x-3)^2-i^2)\\\\=k(x+3)(x^2-6x+9+1)\\\\=k(x+3)(x^2-6x+10)

And for x = 0, y = -90 so we can write

-90=k*3*10, meaning that k=-3

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
3 years ago
What is this math problem x²+9×+14=0
WINSTONCH [101]
x^2+9x+14=0\\\\ x_{1}=\frac{-b-\sqrt{b^2-4ac} }{2a}=\frac{-9-\sqrt{9^2-4*1*14 } }{2 }=\frac{-9-\sqrt{81-56 } }{2 }= \frac{-9-\sqrt{25 } }{2 }=\\\\=\frac{-9-5 }{2 }=\frac{-14 }{2 }= -7\\\\ x_{2}=\frac{-b+\sqrt{b^2-4ac} }{2a}=\frac{-9+\sqrt{9^2-4*1*14 } }{2 }= \frac{-9+5 }{2 }=\frac{- 4 }{2 }= -2


5 0
3 years ago
How much is 3/4 of 120? And how much is 3/8 of 160?
RoseWind [281]
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4 0
3 years ago
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What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2,
zhannawk [14.2K]

The equation of the line in point-slope form is: C. y − 5 = −(x − 2).

<h3>What is the Point-Slope Equation of a Line?</h3>

A line with a slope (m) and a point (a, b) is represented in point-slope form as, y - b = m(x - a).

Slopes of perpendicular lines are negative reciprocals of each other. Find the slope of the line in the graph given as follows:

Slope (m) = rise/run = 3 units/3 units = 1

Negative reciprocal of 1 is -1.

The slope of the line would be m = -1.

Substitute m = -1 and (a, b) = (2, 5) into y - b = m(x - a) to wrote the equation:

y - 5 = -1(x - 2)

y − 5 = −(x − 2)

Learn more about point-slope form on:

brainly.com/question/24907633

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2 years ago
Enter the decimal 1.81 repeating as an improper fraction in simplest form.​
Elodia [21]

Answer:

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Step-by-step explanation:

1.81 repeating is the equivalent to 1 9/11

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