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Lelu [443]
3 years ago
10

Photography ahmed needs to take a close-up shot of an prange for his art class. he frames a shot of an orange as shown below, so

that the lines of sight form tangents to the orange. if the measure of the camera viewing angle is 34 degrees, what is the measure of major arc acb
Mathematics
1 answer:
nadezda [96]3 years ago
3 0
Answer: The measure of the major arc is 68 degrees plus the measure of the small arc.

In the problem given, we don't know all the needed measurements (is there a diagram?). Therefore, we can find an expression for the answer, not the value itself.  

The angles are related with the following expression.

Outside Angle = 0.5(Major Arc - Minor Arc)

Solving for the major arc gives us.

34 = 0.5(y - x)
68 = y - x
68 + x = y
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Answer:

The best estimate for 43x78 is 40x80

Step-by-step explanation:

43 rounded to the nearest ten is 40.

78 rounded to the nearest ten is 80.  

The answer to 40x80 is 3200

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Which is closest to the circumference of the CD?
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Answer:

idk but heres an equation

Step-by-step explanation:

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5 0
3 years ago
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Find the midpoint of the segment with the following endpoints.<br> (2,9) and (8,1)
vazorg [7]

Answer:

\displaystyle (5,5)

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>Algebra I</u>

  • Coordinates (x, y)
  • Midpoint Formula: \displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Step-by-step explanation:

<u>Step 1: Define</u>

Point (2, 9)

Point (8, 1)

<u>Step 2: Identify</u>

(2, 9) → x₁ = 2, y₁ = 9

(8, 1) → x₂ = 8, y₂ = 1

<u>Step 3: Find Midpoint</u>

Simply plug in your coordinates into the midpoint formula to find midpoint

  1. Substitute in points [Midpoint Formula]:                                                         \displaystyle (\frac{2+8}{2},\frac{9+1}{2})
  2. [Fractions] Add:                                                                                                  \displaystyle (\frac{10}{2},\frac{10}{2})
  3. [Fractions] Divide:                                                                                              \displaystyle (5,5)
7 0
3 years ago
The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of
Goryan [66]

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

\cos(60 \degree)  =  \frac{altitude}{hypotenuse}

\cos(60 \degree)  =  \frac{altitude}{8}

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

\sin(60 \degree)  =  \frac{4 - y}{y}

y\sin(60 \degree)  = 4 - y

y\sin(60 \degree)   + y= 4

(\sin(60 \degree)   + 1)y= 4

y=  \frac{4}{\sin(60 \degree)   + 1}

y = 16 - 8 \sqrt{3}

y=1.857

The diameter is 2y

d = 32 - 16 \sqrt{3}

=2(1.875)

The length of a Diameter is 3.714

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