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agasfer [191]
3 years ago
8

The sector of a circle with a 12-inch radius has a central angle measure of 60°. What is the exact area of the sector in terms o

f ​ π ​? Enter your answer in the box.
Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0
Area= angle theta/360 *pi*r*r
=60/360* pi* 12*12
=24pi 
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Solve (u+6)^2+4=52 , where u is a real number.
Ugo [173]

Answer:

The value of u are,

0.93, -12.93

Step-by-step explanation:

It is given an expression in variable u

(u + 6² + 4 = 52

<u>To find the solution of given expression</u>

(u + 6)·² + 4 = 52

(u + 6)²  = 52 - 4

(u + 6)² = 48

u + 6 = √48

u + 6 = ±6.93

u =  ±6.93 - 6

u = 6.93 - 6  or u = -6.93 - 6

u = 0.93 or u = -12.93

3 0
3 years ago
In ΔCDE, m∠C = (9x+11)^{\circ}(9x+11) ∘ , m∠D = (3x-15)^{\circ}(3x−15) ∘ , and m∠E = (2x+16)^{\circ}(2x+16) ∘ . What is the valu
Ksivusya [100]

Answer:

x = 12

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

9x + 11 + 3x - 15 + 2x + 16 = 180, simplify left side

14x + 12 = 180 ( subtract 12 from both sides )

14x = 168 ( divide both sides by 14 )

x = 12

5 0
3 years ago
Please help me solve this
MArishka [77]

9514 1404 393

Answer:

  sin(θ) ≈ -0.92

  cos(θ) ≈ 0.38

  tan(θ) = -2.40

Step-by-step explanation:

Let r represent the distance of the point from the origin. The Pythagorean theorem tells us ...

  r² = (5)² + (-12)²

  r² = 169

  r = √169 = 13

The trig relations for a point on the terminal ray are ...

  (x, y) = (r·cos(θ), r·sin(θ))

Then ...

  sin(θ) = y/r = -12/13 ≈ -0.92

  cos(θ) = x/r = 5/13 ≈ 0.38

  tan(θ) = y/x = -12/5 = -2.40

7 0
3 years ago
Find the distance between the points: (3, 2) and (9, 7)
sesenic [268]

<em>hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>:</em><em>)</em>

5 0
3 years ago
At the pet owner’s meeting, there are 20 people who own dog, and 35people who own cat and 9 people own goldfish. Some people own
Margaret [11]

Answer:

4

Step-by-step explanation:

Given that At the pet owner’s meeting, there are 20 people who own dog, and 35people who own cat and 9 people own goldfish. Some people own both catand dog and some people own both gold fish and cat. No dog owners owngoldfish. There are twice as many people who own both goldfish and catthan people who own both dog and cat.

Total no of people =52

The venn diagram attached gives a clear picture

assuming x to be owners of both dog and cat.  Then 2x is for both goldfish and cats.

Totalling all mutually exclusive we get

64-3x=52

x=4

No of owners who own  both cat and dog =4

7 0
3 years ago
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