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pickupchik [31]

3 years ago

8

The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as

he moves the herd. The arc the handler makes from the starting point to the return point should be a quarter of a circle:
A sector showing a quarter of a circle is drawn. The radius is marked as 70 feet. The endpoints of the arc of the sector are ma

Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle of radius 70 feet? (6 points)

439.6 feet
3846.5 feet
109.9 feet
1758.4 feet

2 answers:

yKpoI14uk [10]3 years ago

8 0

Answer:

c

Step-by-step explanation:

densk [106]3 years ago

8 0

Answer:

109.9 feet is correct

Step-by-step explanation:

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The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of

weqwewe [10]

Complete Question:

The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of D is five-halves the measure of Y. Find the measure of each angle of the deck.

Answer:

$\angle G = \angle Y = 51.43 ^{\circ}$

$\angle D = \angle R = 128.57 ^{\circ}$

Step-by-step explanation:

Given

Shape: Parallelogram DGRY

Dimension: $\angle D = \frac{5}{2}\angle Y$

Required

Find the measure of each angle

D and R are opposite sides & G and Y are also opposite sides.

So, we have:

$\angle D = \angle R = \frac{5}{2}\angle Y$

and

$\angle G = \angle Y$

The sum of angles is given as:

$\angle D + \angle G + \angle R + \angle Y=360^{\circ}$

Substitute values for $\angle D, \angle G \ \& \angle R$

$\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}$

Take LCM

$\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}$

$\frac{14\angle Y}{2}= 360^{\circ}$

Multiply both sides by $\frac{2}{14}$

$\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}$

$\angle Y= 360^{\circ} * \frac{2}{14}$

$\angle Y= \frac{ 360^{\circ} *2}{14}$

$\angle Y= \frac{720^{\circ}}{14}$

$\angle Y= 51.43 ^{\circ}$

So:

$\angle G = \angle Y = 51.43 ^{\circ}$

$\angle D = \frac{5}{2}\angle Y$

$\angle D = \frac{5}{2} * 51.43^{\circ}$

$\angle D = \frac{5* 51.43^{\circ}}{2}$

$\angle D = \frac{257.15^{\circ}}{2}$

$\angle D = 128.57 ^{\circ}$

Hence:

$\angle D = \angle R = 128.57 ^{\circ}$

8 0

3 years ago

In a circle with an 8-inch radius, a central angle has a measure of 60°. How long is the segment joining the endpoints of the ar

g100num [7]

Given the radius, circumference can be solved by the equation, C = 2πr. The circumference of the circle above is C = 2π(8 in) = 16<span>π in. To solve for the length of the segment joining the arc is the circumference times the ratio of central angle and 360 degrees.

Length of the segment = (16</span>π in)(60/360) = 8/3 <span>π in

Thus, the length of the segment is approximately 8.36 in. </span>

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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8 0

2 years ago

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