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Shkiper50 [21]
3 years ago
9

A pair of tangents to a circle which is inclined to each other at an angle of 60 degree are drawn at ends of two radii. The angl

e between these radii must be :
Mathematics
1 answer:
Sever21 [200]3 years ago
5 0

Answer:

The angle between these radii must be 120º.

Step-by-step explanation:

According to Euclidean Geometry, two tangents to a circle are symmetrical to each other and the axis of symmetry passes through the center of the circle and, hence, each tangent is perpendicular to a respective radius. We represent the statement in the diagram included below.

Then, we calculate the angle of the radius with respect to the axis of symmetry by knowing the fact that sum of internal angles within triangle equals 180º. That is to say:

\theta = 180^{\circ}-90^{\circ}-30^{\circ}

\theta = 60^{\circ}

And the angle between these two radii is twice the result.

\theta' = 2\cdot \theta

\theta' = 120^{\circ}

The angle between these radii must be 120º.

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kirza4 [7]

Answer:

C. -36 3/10

Step-by-step explanation:

4 2/5 = 22/5

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4.4(-8.25)

-36.3 = -36 3/10

Have a great day :3

8 0
3 years ago
Simplify the expression by combining like terms -3x - 8 + 7x - 1
natulia [17]

Answer:

4x-9.

Step-by-step explanation:

-3x - 8 + 7x - 1

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4x-9

8 0
3 years ago
2. find the value<br><br><br>pls no links ​
natta225 [31]

Answer:

\displaystyle V = 2144.66 \ ft^3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Volume of a Sphere Formula: \displaystyle V = \frac{4}{3} \pi r^3

  • <em>r</em> is radius

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>r</em> = 8 ft

<u>Step 2: Find Volume</u>

  1. Substitute in variables [Volume of a Sphere Formula]:                                  \displaystyle V = \frac{4}{3} \pi (8 \ ft)^3
  2. Evaluate exponents:                                                                                         \displaystyle V = \frac{4}{3} \pi (512\ ft^3)
  3. Multiply:                                                                                                             \displaystyle V = \frac{2048}{3} \pi \ ft^3
  4. Estimate:                                                                                                           \displaystyle V = 2144.66 \ ft^3
5 0
3 years ago
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Likurg_2 [28]

Answer:

123 cm²

Step-by-step explanation:

Refer to attachment.

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>

4 0
2 years ago
Which equation matches the graph?
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Answer:

i think 4x+3y = -24 is answer

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2 years ago
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