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2 years ago

Find the value of x leave your answer in simplified radical form

Mathematics

1 answer:

GarryVolchara [31]2 years ago

7 0

X^2 = 7^2 - 3^2
x = root40

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This figure is made up of a quadrilateral and a semicircle.

Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of AB is

$AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}$

The length of AD is

$AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}$

Since AB=AD, therefore ABCD is a square. The area of the of square is

$A_1=a\times a=\sqrt{29}\times \sqrt{29} =29$

The area of square is 29 units².

The area of a semicircle is

$A_2=\frac{\pi}{2}r^2$

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

$r=\frac{d}{2}=\frac{\sqrt{29}}{2}$

The area of the semicircle is

$A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825$

The area of the figure is

$A=A_1+A_2=29+11.2825=40.3825\approx 40.4$

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0

2 years ago

If m angle 2 =70, find m angle 6

rusak2 [61]

m angle 6= 210

I'm not sure about this question

5 0

1 year ago

Solve for x. Round your answer to the nearest tenth.

zlopas [31]

Answer:

By Pythagorean theorem:

$c^2=a^2+b^2$

$x=\sqrt{15^2+33^2}$

$x=36.25$

$x=36.3$

7 0

1 year ago

What is the equation of the line that passes through the point (4,3) and has a slope<br> of 1?

monitta

Answer:

1/2

Step-by-step explanation:

y=mx+b

3=m(4)+1

2=4m

1/2=m

5 0

3 years ago

If N = 34, what is 7 - N?

Gre4nikov [31]

7 - N (replace N with 34)

7 - 34

- 27

The answer is - 27

4 0

2 years ago

Find the value of x leave your answer in simplified radical form​

Find the value of x leave your answer in simplified radical form