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WINSTONCH [101]
3 years ago
15

Move point B to various locations on the circle, and measure the angles that are formed. Make a conjecture. What relationship ex

ists between the radius and tangent? The angles formed by the intersection of the radius and tangent are right angles. The angles formed by the intersection of the radius and tangent measure 90°. The tangent is perpendicular to the radius.
Mathematics
2 answers:
Basile [38]3 years ago
6 0

Answer:

from what i've gathered, all of them are correct. I slected th4e first and third one and it let me move on, didnt say if it was right or not.

Step-by-step explanation:

EDG 2020

Basile [38]3 years ago
5 0

Answer:

1)The angles formed by the intersection of the radius and tangent are right angles.

3)The tangent is perpendicular to the radius.

they are correct

Step-by-step explanation:

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standing on the street, the top of a building has an angle of elevation of 20 degrees. You walk 300 feet directly toward the bui
densk [106]

Answer:

The value of height of the building  h = 509.2 feet

Step-by-step explanation:

From the Δ A B C

\tan 25 = \frac{h}{y}

⇒ h = y \tan 25°  ------- (1)

From Δ A B D

\tan 20 = \frac{h}{y + 300}

⇒ h = ( y + 300 ) \tan20° ------- (2)

Equation 1 = Equation 2

⇒ y \tan 25° = ( y + 300 ) \tan20°

⇒ 0.46 y = 0.36 y + 109.2

⇒ 0.1 y = 109.2

⇒ y = 1092 feet

Put this value of y in equation ( 1 ) we get,

⇒ h = 1092 × tan 25°

⇒ h = 509.2 feet

This is the value of height of the building.

8 0
3 years ago
Help me to answer this pls​
zepelin [54]

The 6 angles with vertex P are:

  1. Angle APB
  2. Angle APC
  3. Angle APD
  4. Angle BPC
  5. Angle BPD
  6. Angle CPD

The letter P must be in the middle since this location is the vertex. Something like angle BPA is the same as angle APB. We can swap the order of the outer letters without any change to the angle itself. Effectively, this means each angle has two possible names.

8 0
3 years ago
Find the distance from point A(−1, 7) to the line y=3x. Round your answer to the nearest tenth.
bearhunter [10]

Answer:

<em>The distance from the point to the line is approximately 3.2 units</em>

Step-by-step explanation:

<u>Distance From a Point to a Line</u>

Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.

If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is

\displaystyle d= \frac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}

The line is given by the equation:

y=3x. We need to transform it into the specified form.

Subtracting 3x:

y - 3x = 0

Comparing with the general form of the line, we have

a=-3, b=1, c=0

The point (xo,yo) is (-1,7), thus:

\displaystyle d= \frac{|-3\cdot (-1)+1\cdot 7+0|}{\sqrt{(-3)^2+1^2}}

\displaystyle d= \frac{|3+7|}{\sqrt{9+1}}

\displaystyle d= \frac{|10|}{\sqrt{10}}

\displaystyle d= \frac{10}{\sqrt{10}}

d\approx 3.2

The distance from the point to the line is approximately 3.2 units

4 0
3 years ago
Choose the solution(s) of the following system of equations x2 + y2 = 6 x2 – y = 6
ElenaW [278]
<h2>Answer</h2>

x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1

Or as ordered pairs: (\sqrt{6} ,0),(-\sqrt{6} ,0),(\sqrt{5} ,-1),(-\sqrt{5} ,-1)

<h2>Explanation</h2>

Lets solve our system of equations  step by step

x^2+y^2=6 equation (1)

x^2-y=6 equation (2)

1. Solve for x^2 in equation (2)

x^2-y=6

x^2=6+y equation (3)

2. Replace equation (3) in equation (1) and solve for y

x^2+y^2=6

6+y+y^2=6

y^2+y=0

y(y+1)=0

y=0 or y=-1

3. Replace the values of y in equation (3) and solve for x

- For y=0

x^2=6+y

x^2=6

x=\sqrt{6} or x=-\sqrt{6}

- For y=-1

x^2=6+y

x^2=6-1

x^2=5

x=\sqrt{5} or x=-\sqrt{5}

So, the solutions of our system of equation are:

x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1

6 0
3 years ago
Read 2 more answers
I need help factoring this expression
omeli [17]
X^2(x+2)-4(x+2)

(x^2-4) (x+2) = 0

do you have to keep going/?

or thats all they want?
3 0
4 years ago
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