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3 years ago

A circle has a sector with area 64/5 pi

Mathematics

1 answer:

Helen [10]3 years ago

4 0

Answer:

The area of the circle is $16\pi\ units^2$

Step-by-step explanation:

we know that

The area of complete circle subtends a central angle of 2pi radians

using proportion

Find the area of the circle

$\frac{(64\pi/5)}{(8\pi/5)}= \frac{x}{2\pi}\\\\x=2\pi(64)/8\\\\x=16\pi\ units^2$

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I need help with this question asap!

Tpy6a [65]

Answer:

x=15

Step-by-step explanation:

This is an equilateral triangle. That means all sides are equal and all angles are equal

An equilateral triangle has angle measurements of 60 degrees

60 =4x

Divide each side by 4

60/4 = 4x/4

15 =x

7 0

3 years ago

Which equation demonstrates the additive identity property?

Bezzdna [24]

Answer:

Step-by-step explanation:

Solve for o in the equation (7 + 4) + (7 - 41) = 14©(7 + 4) + 0 = 7 + 41o(7 + 4)(1) = 7 + 41o(7 + 41) + ( - 7 - 41) = 0

We first need to simplify the expression removing parentheses

Simplify 41o(7 + 4): Distribute the 41o to each term in (7+4)

41o * 7 = (41 * 7)o = 287o 41o * 4 = (41 * 4)o = 164o

Our Total expanded term is 287o + 164o

Simplify 41o(7 + 41): Distribute the 41o to each term in (7+41)

41o * 7 = (41 * 7)o = 287o 41o * 41 = (41 * 41)o = 1681o

Our Total expanded term is 287o + 1681o

Our updated term to work with is (7 + 4) + (7 - 41) = 14©(7 + 4) + 0 = 7 + 287o + 164o(1) = 7 + 287o + 1681o + ( - 7 - 41) = 0

We first need to simplify the expression removing parentheses

Simplify 164o(1): Distribute the 164o to each term in (1)

164o * 1 = (164 * 1)o = 164o Our Total expanded term is 164o

Our updated term to work with is (7 + 4) + (7 - 41) = 14©(7 + 4) + 0 = 7 + 287o + 164o = 7 + 287o + 1681o + ( - 7 - 41) = 0

Step 1: Group variables: We need to group our variables (7 and 14©(7. To do that, we subtract 14©(7 from both sides (7 - 14©(7 = 14©(7 - 14©(7

Step 2: Cancel 14©(7 on the right side: 0o = 0 Step 3: Divide each side of the equation by 0

0o 0 = 0 0 o =

5 0

3 years ago

Read 2 more answers

Which of the following numbers is rational but not an integer? 3, 0, -4.3, -9

skad [1K]

-4.3 is rational but not an intiger

4 0

3 years ago

Read 2 more answers

Polygon ABCD is a przimage of an enlargement with a scale factor of 3 and a

Flura [38]

i dont think you have a whole question down and we need examples of the triangles so please shw examples

4 0

2 years ago

If the right side of the equation dy dx = f(x, y) can be expressed as a function of the ratio y/x only, then the equation is sai

melomori [17]

Answer:

y = x*sqrt(Cx - 1)

Step-by-step explanation:

Given:

dy / dx = (x^2 + 5y^2) / 2xy

Find:

Solve the given ODE by using appropriate substitution.

Solution:

- Rewrite the given ODE:

dy/dx = 0.5(x/y) + 2.5(y/x)

- use substitution y = x*v(x)

dy/dx = v + x*dv/dx

- Combine the two equations:

v + x*dv/dx = 0.5*(1/v) + 2.5*v

x*dv/dx = 0.5*(1/v) + 1.5*v

x*dv/dx = (v^2 + 1) / 2v

-Separate variables:

(2v.dv / (v^2 + 1) = dx / x

- Integrate both sides:

Ln (v^2 + 1) = Ln(x) + C

v^2 + 1 = Cx

v = sqrt(Cx - 1)

- Back substitution:

(y/x) = sqrt(Cx - 1)

y = x*sqrt(Cx - 1)

3 0

3 years ago