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lord [1]
3 years ago
11

In the diagram of circle O, what is the measure of ABC

Mathematics
1 answer:
vaieri [72.5K]3 years ago
7 0

Answer:

34°

Step-by-step explanation:

The angle formed by two tangents is equal to half the difference of the intercepted arcs.

The first intercepted arc, between points A and C, is 146°.  This leaves

360-146 = 214° for the second intercepted arc.

The difference between these two is

214-146 = 68°

Dividing this by 2,

68/2 = 34°

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A carpenter is making a rectangular form for a concrete pad she wants the length of the path to be 11 feet more than the width o
Basile [38]

Answer:

Length = 16 or -5 feet.

Width = 5 or -16 feet.

Step-by-step explanation:

Let the length of the concrete pad = l

Let the width of the concrete pad = w

<u>Given the following data;</u>

Area of concrete pad, a = 80ft²

Translating the word problem into an algebraic equation, we have;

l = 11 + w

<em>We know that, the area of rectangle, A = length * width</em>

A = l*w

<em>Substituting the values into the equation, we have;</em>

80 = (11 + w)w

<em>Expanding the bracket, we have;</em>

80 = 11w + w^{2}

w^{2} + 11w - 80 = 0

*Solving the quadratic equation by using factorization method*

w^{2} + 16w - 5w - 80 = 0

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(w - 5)(w + 16) = 0

Width, w = 5 feet or w = -16 feet.

<em>Therefore, the width of the concrete pad is 5 feet or -16 feet.</em>

<em>To find its length, l;</em>

l = 11 + w

When w = 5 feet

l = 11 + 5

Length, l = 16 feet

When w = - 16 feet

l = 11 + (-16)

l = 11 - 16

Length, l = -5 feet.

Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.

6 0
3 years ago
A rancher is ordering a box of cube-shaped salt licks. the edge length of each salt lick are 5/12 foot. is the volume of one sal
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A cube-shaped salt lick is ordered by a rancher and the length of each salt lick is \frac{5}{12} foot.

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Hence, this volume is less than 1 cubic foot. (Answer)

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What is the solution of each equation 4z=20: z=5 z=2 z=7 z=6
uysha [10]

Answer:

43/6=z

Step-by-step explanation:

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How long is a elaphants head
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