Please help me in this problem is SOLVIN RACIONAL EQUATIONS !!

Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the length of the chord whos

lawyer [7]

What are the coordinates of the points of tangency? Yes, it's *that* trivial.
Apply the Pythagorean theorem to get the distance of r √2.

7 0

3 years ago

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Work out the size of angle x. 38° х 101

KIM [24]

Answer:

41°

Step-by-step explanation:

the sum of the interior angles is 180 degree

so,

38 + x + 101 = 180

139 +x = 180

x = 180 - 139

x= 41°

5 0

3 years ago

Any suggestions or ideas

Marizza181 [45]

C. Point reflection of the origin. Or B. But I think it's C.

5 0

3 years ago

Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.

mariarad [96]

The height of the triangle is approximately $4.35\text{ mm}$

Step-by-step explanation:

The area of a triangle can be calculated by using the Heron's formula.

Heron's formula: 

Suppose a triangle has sides $a'$ , $b'$ and $c'$ , then the semi-perimeter $S$ of the triangle is represented by the expression,

$S=\frac{a'+b'+c'}{2}$

The area $A$ of the traingle is formulated below.

$\fbox {\begin\\A=\sqrt{s(s-a')(s-b')(s-c')}\end{minispace}}$

To calculate the area of the triangle with sides $9 \text{ mm}$ , $6 \text{ mm}$ and $12 \text{ mm}$ , first find the semi-perimeter.

$S=\frac{9+6+12}{2}\\S=\frac{27}{2}\\S=13.5 \text{ mm}$

Now, the area of the triangle is calculated below.

$A=\sqrt{s(s-a)(s-b)(s-c)}\\A=\sqrt{13.5(13.5-9)(13.5-6)(13.5-12)}\\A=\sqrt{13.5 \times 4.5 \times 7.5 \times 1.5}\\A=\sqrt{\frac{135}{10}\times\frac{45}{10}\times\frac{75}{10}\times\frac{15}{10}} \\A=\sqrt{\frac{(15\times3\times3) \times (15\times3) \times (15\times5) \times15}{100\times100}}\\A=\frac{15\times15\times3\sqrt{15 } }{100} \\A=2.25\times3\times3.87\\A=26.122$

Area A of a triangle with a altitude P and one side as base B on which the altitude P is drawn, can be calculated as,

$\fbox{\begin\\A= \left[\frac{1}{2}(B)(P)\right]\\\end{minispace}}$

Now, the area of the same triangle can also be calculated as,

$A=\frac{1}{2}(12)(x)\\A=6x$

In the above calculations, area of the triangle is calculated in two ways.

Therefore, both the areas can be equated to obtain the altitude $x$ .

$6x=26.122\\x=\frac{26.122}{6}\\x=4.35$

Thus, the height of the triangle is evaluated as $\fbox{4.35 \text{ mm}}$ .

Learn more:

1. Prove that AB2+BC2=AC2https://brainly.com/question/1591768

2. Which undefined term is needed to define an angle? brainly.com/question/3717797

3. Look at the figure, which trigonometric ratio should you use to find x? brainly.com/question/9880052

Answer Details

Grade: Junior High School

Subject: Mathematics

Chapter: Area of triangle

Keywords: area of triangle, heron's formula, base multiplied by height, base multiplied by perpendicular, base multiplied by altitude, right triangle, altitude corresponding to base, area of right triangle

5 0

3 years ago

Determine whether AB ← → and CD ← → − are parallel, perpendicular, or neither. A(2, 8), B(−1, −2), C(3, 7), D(0, −3)

eduard

A plot of the points quickly reveals the vectors to be parallel.

4 0

4 years ago

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