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2 years ago

Find the area of the sector formed by central angle

Mathematics

1 answer:

Alex777 [14]2 years ago

6 0

Answer: 0.2pi

Step-by-step explanation:

1. Find the area of the entire circle

2. Set up a proportion that compares the relationship of the Area of sector and the Area of circle to the Arc measure and the circle measure

3. Solve!

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The yard behind the Cindy’s house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet

PtichkaEL [24]

Let
L----------> the length of the yard
W--------> the width l of the yard

we know that
the perimeter is equal to
 $P=2*[W+L]$
$72=2*[W+L] \\ 36=W+L$ --------> equation 1
$L=W+18$ ------> equation 2
substitute equation 2 in equation 1
 $36=W+18+W \\ 36=2W+18 \\ W=(36-18)/2$
$W=9 ft$
$L=W+18 \\ L=9+18 \\ L=27 ft$

we know that
Area of the rectangular yard is equal to
 $A=L*W \\ A=27*9 \\ A=243 ft^{2}$

4 0

3 years ago

Read 2 more answers

How do I solve this Algebra 2 question? 2x-3 over 7 = x+4 over 6

astra-53 [7]

Answer:

x=46/5

Cross multiply, distribute the denominator, simplify by combining like terms, and isolate x.

8 0

2 years ago

Solve the system. find x,y, and z please show all steps x-y+z=1 x+y+3z=-3 2x-y+2z=0

Mariulka [41]

Solving the system we get, x= -1, y= -2 and z= 0

Step-by-step explanation:

Solving the equations to find x, y and z

$x-y+z=1\,\,\,eq(1)\\x+y+3z=-3\,\,\,eq(2)\\2x-y+2z=0\,\,\,eq(3)$

Adding eq(1) and eq(2)

$x-y+z=1\\x+y+3z=-3\\--------\\2x+4z=-2\,\,\,\,eq(4)\\$

Adding eq(2) and eq(3)

$x+y+3z=-3\\2x-y+2z=0\\----------\\3x+5z=-3\,\,\,eq(5)$

Multiplying eq(4) by 3 and eq(5) by 2

$6x+12z=-6\\6x+10z=-6\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\----------\\2z=0\\z=0$

So, value of z =0

Putting value of z in eq(4)

$2x+4z=-2\\2x+4(0)=-2\\2x=-2\\x=-1$

So, value of x = -1

Now putting value of z=0 and x =-1 in equation 1

$x-y+z=1\\-1-y+0=1\\-y=1+1\\-y=2\\y=-2$

So, value of y = -2

So, solving the system we get, x= -1, y= -2 and z= 0

Keywords: Solve the system

Learn more about Solve the system at:

#learnwithBrainly

7 0

3 years ago

A box contains 23 transistors,6 of which are defective. If 6 are selected at random, find the probility that none are defective

ipn [44]

$|\Omega|=C(23,6)=\dfrac{23!}{6!17!}=100947\\
|A|=C(17,6)=\dfrac{17!}{6!11!}=12376\\\\
P(A)=\dfrac{12376}{100947}=\dfrac{1768}{14421}$

3 0

3 years ago

Given f(x) = X^2 – 5x + 6 state axis of symmtry

Setler79 [48]

Solve this by factorising like this:
F(x)= x^2-5x+6
= (x-2)(x-5)
X= 2 or x= 5
So the axis of symmetry is 3.5 ( got this by dividing 2 and 5 in the middle on the number line or you can call it cetacean plane

Mark as brainleast plzzz

7 0

2 years ago