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1 year ago

Angle DEF is an inscribed angle on a circle, and m∠DEF = 64°. What is the measure of arc DF?

Mathematics

1 answer:

Svetach [21]1 year ago

6 0

Answer:

128°

Step-by-step explanation:

<u>The measure of an inscribed angle is half the measure of the intercepted arc.</u> That means that the intercepted arc is two times the inscribed angle.

Measure of the inscribed angle DEF is 64°, that means that the measure of the intercepted arc DF is 2×64°, which is 128°.

$m\overset{\huge\frown}{DF} = 2 \times m\angle DE F = 2 \times 64^\circ = 128^\circ$

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What value of x is in the solution set of 4x – 12 < 16 + 8x?<br> -10<br> -9<br> -8<br> -7

Akimi4 [234]

Answer:

Step-by-step explanation:

4x - 12 ≤ 16 + 8x

4x - 8x ≤ 16 + 12

- 4x ≤ 28

<em>x ≥ - 7 or [ - 7, ∞ )</em>

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2 years ago

Part 1 - Application

egoroff_w [7]

The measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have a length of an arc of a circle of radius 7 is approximately 10.99 cm.

The radius r = 7 cm

The arc length l = 10.99 cm

We know,

l = rθ

θ is the central angle.

θ = l/r = 10.99/7 = 1.57 radians

To convert 1.57 radians into the degree multiply it by 180/π

θ = 89.95 degree

Thus, the measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.

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brainly.com/question/11833983

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2 years ago

You cast a fishing lure from 4 feet above the water. Its travel is given by the function h = -16t^2 + 24t + 4, where t = time in

const2013 [10]

Answer:

Fishing lure will be at a height of 12 feet after 0.19 and 1.31 seconds

Step-by-step explanation:

Travel of a fishing lure has been given by the expression,

h = -16t + 24t + 4

where h = height of the fishing lure

t = time or duration of travel

Height traveled by the fishing lure = 12 - 4 = 8 feet

For h = 8 feet,

8 = -16t² + 24t + 4

-16t² + 24t + 4 - 8 = 0

16t² - 24t + 4 = 0

4t² - 6t + 1 = 0

t = $\frac{6\pm\sqrt{(-6)^{2}-4(4)(1)}}{2\times 4}$

= $\frac{6\pm\sqrt{36-16}}{8}$

= $\frac{6\pm\sqrt{20}}{8}$

= $\frac{6\pm2\sqrt{5}}{8}$

= 1.31, 0.19 seconds

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2 years ago

Solve each inequality. Then check each number that is a solution

mr_godi [17]

Answer:

3, 6, 4, 5

Step-by-step explanation:

First of all we have to multiply 2 by 2x and -9 and we obtain

4x -18 ≤ 6

now we have to move -18 on the right side of the minor or equal and change its sign

4x ≤ 6 + 18

now we have to added up 6 and 18

4x ≤ 24

At least we have to divide the the two members by 4

x ≤ 6

We have to find the numbers ≤ 6

so the answer is : 3, 6, 4, 5

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2 years ago

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LUCKY_DIMON [66]

The rate per second is 3 pens/second

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2 years ago