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N76 [4]
3 years ago
5

What is the volume of this figure? 8 in. 2 1/7 in. i6 1/4 in.

Mathematics
1 answer:
lapo4ka [179]3 years ago
4 0

Answer:

1/8 or 8 V

Step-by-step explanation:

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Points E, F, and D are on circle C, and angle G measures 60°. The measure of arc EF equals the measure of arc FD.
galben [10]

Answer:

∠EFD ≅ ∠EGD ⇒ A

Arc ED ≅ arc FD ⇒ C

m arc FD = 120° ⇒ E

Step-by-step explanation:

Let us revise some facts

  1. Equal chords subtended equal arcs
  2. The measure of an inscribed angle is one-half the measure of the central angle which subtended by the same arc
  3. The measure of a central angle is equal to the measure of its subtended arc
  4. If one angle of an isosceles triangle measure 60° then the triangle is equilateral
  5. The sum of the measures of the interior angles of any quadrilateral is 360°

In the quadrilateral  CDGE

∵ m∠G = 60°

∵ m∠GDC = m∠GEC = 90°

- By using the 5th rule above

∴ m∠G + m∠GDC + m∠DCE + m∠GEC = 360°

∴ 60 + 90 + m∠DCE + 90 = 360

∴ 240 + m∠DCE = 360

- Subtract 240 from both sides

∵ m∠DCE = 120°

In circle C

∵ ∠DCE is a central angle subtended by arc DE

∵ ∠DFE is an inscribed angle subtended by arc DE

- By using the 2nd rule above

∴ m∠DFE = \frac{1}{2} m∠∠DCE

∵ m∠DCE = 120°

∴ m∠DFE = \frac{1}{2} (120)

∴ m∠DFE = 60°

- That means ∠EFD ≅ ∠EGD because their measure is 60°

∴ ∠EFD ≅ ∠EGD

In Δ EFD

∵ EF = FD

∵ m∠DFE = 60°

- By using the 4th rule above

∴ Δ EFD is an equilateral triangle

∴ ED = FD = FE

In circle C

∵ Side ED subtended by arc ED

∵ Side FD subtended by FD

∵ Side ED ≅ side FD ⇒ proved

- By using the 1st rule above

∴ Arc ED ≅ arc FD

∵ m∠ECD = 120°

∵ ∠ECD is a central angle subtended by arc ED

- By using the 3rd rule above

∴ m∠ECD = m arc ED

∴ m of arc ED = 120°

∵ Arc ED ≅ arc FD

∴ m arc ED = m arc FD

∴ m arc FD = 120°

5 0
2 years ago
Read 2 more answers
Please help it is math
olasank [31]

Answer:

A linear function has the form y=mx+b

A line has a proportional relationship if y/x is always the same ratio for any value.

The slope m=(y2-y1)/(x2-x1) for some two points on a line is always constant, else it wouldn't create a line.

A line won't be proportional if you adapt b because the ratio of y/x won't match the slope anymore.

In the end this means all lines with proportional relationships must intersect (0,0) or in other words f(0)=0.

This happens if they have the shape y=mx.

Step-by-step explanation:

hope this helps pls mark me brainliest

4 0
2 years ago
What is the value of y in the equation 2(3y - 6) = 0?
Fittoniya [83]

Answer:

The answer is y=2

Step-by-step explanation:

6 0
3 years ago
An SRS of size 20 is drawn from a population that has a normal distribution. The sample has a mean of 122.5 and a standard devia
Tems11 [23]

Answer:

The value is  \sigma_{\= x} = 1.789

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  20  

    The sample mean is \= x = 122.5

    The standard deviation is  s =  8

Generally the standard error of the mean is mathematically represented as

       \sigma_{\= x} =  \frac{s}{\sqrt{n} }

=>    \sigma_{\= x} =  \frac{8}{\sqrt{20 } }

=>    \sigma_{\= x} = 1.789

8 0
3 years ago
a pool is leaking water at a constant rate. The amount of water in the pool changes by -1 1/4 every hour. what is the total chan
malfutka [58]

The total change in the water in the pool after 2 1/2 hours given the rate of leakage is -3 1/8,

<h3>What are fractions?</h3>

A fraction is a non-integer. It is made up of numerators and denominators. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 1/2.

<h3>What is the total change in the water?</h3>

The total change in the water = -1 1/4 x 2 1/2

= -5/4 x 5/2 = -25/8 = -3 1/8

To learn more about multiplication of fractions, please check: brainly.com/question/1114498

6 0
2 years ago
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