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iris [78.8K]
1 year ago
6

Find the area of the shaded sector of a circle. Leave ur answer in terms of pi

Mathematics
1 answer:
laila [671]1 year ago
6 0

The area of the shaded sector of a circle is 64 pie cm^2

Here we are given that there is a circle: whose radius is 16cm and the angle formed by two radius that is angle of the sector is 90.

The area of the sector of circle is basically the area of the arc of a circle.

The two combination of two radii forms the sector of a circle while the arc is in between these two radii.

Area of sector is given by:

Area of sector=\frac{mXY}{360^{0} }.лr^{2}

Substituting the given value in the formula of area of sector:

Area of sector is=\frac{90}{360}\times pie\times r^{2}

We get after solving,

Area of sector= 64 pie cm^2

So from the given options, option 4 is correct.

Hence the area of the sector is 64 pie cm^2

To know more about Area of the sector:

brainly.com/question/22972014

#SPJ9

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What two numbers have a sum of 217 and a <br> difference of 85?
Setler [38]

Answer:

the two numbers are 151 and 66

Step-by-step explanation:

x+y =217

x-y = 85

add the two equations

x+y =217

x-y = 85

-------------

2x = 302

divide by 2

2x/2 = 302/2

x = 151

now find y

x+y =217

151+y =217

subtract 151 from each side

y = 217-151

y =66

8 0
3 years ago
Angelina bought a 64 ounce can of lemonade mix. She uses 4 ounces of mix for each pitcher of lemonade. How me pitcher of lemonad
chubhunter [2.5K]
64 ounces / 4 for each pitcher 
16 pitchers
6 0
3 years ago
Consider the tables created using an initial investment of $1,000 and quarterly compounding of interest.
Andru [333]

Answer:

(d)  The functions are not inverses because for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function.

Step-by-step explanation:

If functions are represented by a table of ordered pairs, their inverse function is the set of ordered pairs with the x- and y-values swapped.

Here, for (x, y) = (0.75, 1038.18), the pair from the other table that begins to correspond is (y, x) = (0.75, 1057.81). These reversed pairs are not the same, so the functions are not inverses of each other.

_____

<em>Comment on the tables</em>

Table A is for a 5-year investment; table B is for a 7.5 year investment. They cannot be inverses of each other.

8 0
3 years ago
Read 2 more answers
Geometry: fill in the blanks (ASAP!! It’s urgent)
stepladder [879]

5. m∠C = 95°

6. m∠C = 70°

7. The other acute angle in the right triangle = 70°

8. m∠C = 70°

9. m∠C = 60° [equilateral triangle]

10. Measure of the exterior angle at ∠C = 110°

11. m∠B = 70°

12. m∠Z = 70°

<h3>What are Triangles?</h3>

A triangle is a 3-sided polygon with three sides and three angles. The sum of all its interior angles is 180 degrees. Some special triangles are:

  • Isosceles triangle: has 2 equal base angles.
  • Equilateral triangle: has three equal angles, each measuring 60 degrees.
  • Right Triangle: Has one of its angles as 90 degrees, while the other two are acute angles.

5. m∠C = 180 - 50 - 35 [triangle sum theorem]

m∠C = 95°

6. m∠C = 180 - 25 - 85 [triangle sum theorem]

m∠C = 70°

7. The other acute angle in the right triangle = 180 - 90 - 25 [triangle sum theorem]

The other acute angle = 70°

8.  m∠C = 180 - 55 - 55 [isosceles triangle]

m∠C = 70°

9. m∠C = 60° [equilateral triangle]

10. Measure of the exterior angle at ∠C = 50 + 60

Measure of the exterior angle at ∠C = 110°

11. m∠B = 115 - 45

m∠B = 70°

12. m∠Z = 180 - 35 - 75

m∠Z = 70°

Learn more about triangles on:

brainly.com/question/25215131

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8 0
2 years ago
Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3.
Dimas [21]
Hello,

f(x)=4(x+3)-5=4x+12-5=4x+7

y=4x+7==>c=(y-7)/4

f^(-1)(x)=(x-7)/4
f^(-1)( 3)=(3-7)/4=-4/4=-1

Answer D

4 0
3 years ago
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