A circle is shown. 2 radii with length 8 inches are drawn. A line connects the radii points on the circle to form a triangle. The angle between the 2 radii is 90 degrees. The area between the triangle and the outline of the circle is shaded.
What is the area of the shaded portion of the circle?

(16π – 32) in2
(16π – 8) in2
(64π – 32) in2
(64π – 8) in2

Answer:

4:1

Step-by-step explanation:

A is basically 4 times bigger than B

Answer:

4562.50 per month

Step-by-step explanation:

To find the monthly salary, divide by the number of months ( which is 12)

54750/12

4562.50 per month

Answer:

[tex]y=\frac{15}{18} x+13[/tex]

Step-by-step explanation:

Use a graphing calculator,

hope it helps

Answer:

let's write it as an equation

speed in m/sec (s) = 33.3 -9.81s

speed in m/sec (2.8) = 33.3 -9.81*2.8 = 5.832

9.81 is the deceleration due to earth's gravity.

the speed changes that ammount per second.

Answer:

The answer is [tex]3^3\times 2^2[/tex].

Step-by-step explanation:

According to the rules of exponents

a^n = a x a x a x .... n times

So,

[tex]3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}[/tex]

Answer:

9x-7

Step-by-step explanation:

2(3x-5) = 6x - 10

3(x+3) = 3x + 3

= 9x-7

Answer:

Step-by-step explanation:

2*(3x-5)+3(x+3)=2*3x - 5*2 + x*3 + 3*3

                         = 6x - 10 + 3x + 9

                         = 6x + 3x - 10 + 9   {Combine like terms}

                         = 9x - 1

Answer:

x = 4.5

Step-by-step explanation:

thesetwo triangles are similar to we can create a proportion from corresponding sides as follows:

4/9 = 2/x

cross-multiply:

4x = 18

x = 4.5

Answer:

[tex]\frac{3y+2}{6y^2}\\[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{3y+2}{3y}/\frac{6y^2+4y}{3y+2} \\= \frac{3y+2}{3y} * \frac{3y+2}{6y^2+4y}\\= \frac{3y+2}{3y} * \frac{3y+2}{2y(3y+2)}\\= \frac{3y+2}{3y} * \frac{1}{2y}\\= \frac{3y+2}{6y^2}\\[/tex]

Answer:

1

Step-by-step explanation:

Answer:

2011: 567 2012: 567*(1-.015) 2013: 567*(1-.015)*(1-.015) 2014: 567*(1-.015)567*(1-.015)*(1-.015) you see the pattern; and, if so, you can build an little equation giving you the answer

Answer:

339

Step-by-step explanation:

a = 567 (.95)¹⁰

a = 339.4838445482

Rounded

339

Answer:

8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

6t - 20 - 32u

t = 6

u = 1/4

Step 2: Evaluate

Answer:

8

Step-by-step explanation:

Given

6t - 20 - 32u ( substitute the given values into the expression )

= 6(6) - 20 - (32 × [tex]\frac{1}{4}[/tex] )

= 36 - 20 - 8

= 16 - 8

= 8

Answer:

32 is rational number.

Step-by-step explanation:

Because it can be expressed as the quotient of two integers : 32/1

Answer:

root 324=18

root 441=21

root 529=23

Step-by-step explanation:

root 324 = 18

root 441 = 21

root 524 = 23

Answer:

Option C is the correct one

Step-by-step explanation:

given equation of a line is y=-1/3x+1

comparing the given equation with y=mx+c

therefore,slope(m)=-1/3

then,

slope of line perpendicular to the line having slope -1/3 is (m2)=3

Equation of line having slope (m2)=3 and passing through point (2,7) is

y-y1=m2*(x-x1)

or,y-7=3(x-2)

or,y-7=3x-6

or,3x-y-6+7=0

or,3x-y+1=0

or,3x-y=-1 is the req.equation.

Answer:

The number is 45

Step-by-step explanation:

Let number = x

2/3 x = 30

x = 30/2/3

x = 30×3/2

x = 90/2 = 45

The number is 45

2/3 ×45= 90/3 = 30

Answer:

second option is correct (for question no 20)

Step-by-step explanation:

coordinate points are:

(3,1) = (x1,y1)

(5,9) = (x2,y2)

slope (m) = y2-y1/x2-x1

=9-1/5-3

=8/2

=4

Now using slope intercept form

y=mx + b

y=4x + b

since the line passes through the point (3,1) it satisfies the equation

y=4x + b

1=4*3 + b

1-12 = b

-11 = b

substituting the value of b in equation

y=4x + b

y=4x +(-11)

y=4x - 11

Answer:

-9≤y≤5

Step-by-step explanation:

The range is the values that the output can take

The smallest value that the output takes is -9 and the largest value is 5

-9≤y≤5

Answer: The estimated product is 81

8.82 and 9.41 are both 9 rounded to the nearest whole number

Therefore, 9*9=81.

Answer:

3.

Step-by-step explanation:

R = √[(2)^2 + (√5)^2]

= √(4 + 5)

= √9

= 3.

Answer:

3

Step-by-step explanation:

[tex]R =\sqrt{a^{2}+b^{2}}\\\\= \sqrt{2^{2}+(\sqrt{5})^{2}}\\\\= \sqrt{4+5}\\\\=\sqrt{9}\\\\= \sqrt{3*3}\\\\= 3[/tex]

Hint:  (√5)² = [tex]\sqrt{5}*\sqrt{5} = \sqrt{5*5}=5[/tex]

Answer:

-3

Step-by-step explanation:

Answer:

The unit price is .45

Step-by-step explanation:

You divide the price by the item

- 8.10÷18=.45

Answer:

[tex]KN\times~JN=LN\times~MN[/tex]

[tex](x-1)(x+20)=(x+11)(x+2)[/tex]

[tex]x^2+19x-20-x^2+13x+22[/tex]

[tex]7x=42[/tex]

[tex]x=6[/tex]

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hope it helps...

have a great day!!

Step-by-step explanation:

P O R N G I R L S O N L Y

xni-jwtm-twb

Step-by-step explanation:

the answer is in the above image

but I do not get the meaning of Dy

Answer:

The leading coefficient is -3

Step-by-step explanation:

If helps mark as brainllest please!!!

Step-by-step explanation:

i. 3x-1=20

or, 3x= 21

x= 7

ii. 3x+1= 22

3x= 21

x= 7

iii. 2x-5=99

2x= 104

x=52

iv. g(3)= 3+5/2= 11/2

g(0)= 0+ 5/2=5/2

g(-3)= -3+5/2 = -1/2

x+5/2= 0

so, x= -5/2

Answer:

1/10

Step-by-step explanation:

All spinners have equal areas & circumference on each outcome, so spinning an A is one out of five, or 1/5.  The probability of spinning any number is 1/6.  Since 1, 3, and 5 are all odd numbers, the probability of spinning an odd number is 3/6, or 1/2.

The probability of spinning both spinners successfully (an A AND an odd number) can be found by the product rule, which is the product of the two probabilities, namely 1/5 * 1/2 = 1/10.

Answer:

see below

Step-by-step explanation:  6  23  17  30

the length CD is  the square root of the delta X value squared + the delta Y value squared

a² + b² = c²   is the common form for this problem use

ΔX² + ΔY² = CD²

ΔX = X2 - X1        ΔY = Y2 - Y1

ΔX = 2 - (-2)        ΔY = 5 - (-5)

ΔX = 4                ΔY = 10

4² + 10² = CD²

16 + 100 = CD²

116  = CD²

√116  =  √CD²  = CD

√(4 × 29)  = CD

2√29  = CD    the first option