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marusya05 [52]
3 years ago
12

Henry constructed circle A with a radius of 4 units. He then created a sector as shown in the figure below. Which of the followi

ng expressions would help him find the area of the shaded sector?

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

Answer: option D is the correct answer

Step-by-step explanation:

The shaded portion of the circle is the smaller sector whose radius is the same as the radius of the circle which is given as 4 units. The sector is always bounded by two radii with a common point which is the center of the circle and forming an angle at that point. The given sector forms an angle of 45 degrees.

Area of a sector is expressed as

#/360 × π × r^2 and # is in degrees

Therefore, area of the shaded portion or sector = 45/360 × π × 4^2

= 45/360 × 16π

= 45/360 (16π)

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Two cars leave towns 360 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hou
mixer [17]
Let x = speed of the first car

the second car is 12 km slower so the seconds car speed is x-12

 they each drove 2 hours so 1st car = 2x
2nd car = 2(x-12)
 
they drove 360 km
 so you have 2x + 2(x-12) = 360
 solve for x

2x+2(x-12) = 360

2x + 2x-24 = 360

4x-24 = 360

4x = 384
x = 384/4
x = 96

1st car drove at 96 km per hour

slower car drove at 96-12 = 84 km per hour



5 0
3 years ago
Please answer all of them
kondaur [170]

Answer:

a. x = 5/2

b. y = 16.5

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Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Ralph is moving and needs to hire a moving company. "Pack 'n' Move" charges a $50 fee plus $25 an hour and "We Move Your House"
vaieri [72.5K]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Given: the function defined by f(x)=3x^2-4 Which statement is true? 1. f(0) = 0 2. f(-2) = f(2) 3. f(5)+ f(2) = f(7) 4. f(5) x f
sergeinik [125]
f(x)=3x^2-4 \\ \Downarrow \\ f(0)=3 \times 0^2-4=0-4=-4 \\ -4 \not= 0 \\ f(0) \not= 0 \\
\hbox{statement 1 is false} \\ \\
f(-2)=3 \times (-2)^2-4 =3 \times 4-4=12-4=8 \\
f(2)=3 \times 2^2-4=3 \times 4-4=12-4=8 \\ 8=8
\\ f(-2)=f(2) \\
\hbox{statement 2 is true}

f(5)=3 \times 5^2-4=3 \times 25-4=75-4=71 \\ f(2)=8 \\
f(7)=3 \times 7^2-4=3 \times 49-4=147-4=143 \\
71+8 \not= 143 \\
f(5)+f(2) \not= f(7) \\ \hbox{statement 3 is false} \\ \\
f(5)=71 \\ f(2)=8 \\ f(10)=3 \times 10^2-4=3 \times 100-4=300-4=296 \\
71 \times 8 \not= 296 \\
f(5) \times f(2) \not= f(10) \\
\hbox{statement 4 is false}

Stamement 2. f(-2)=f(2) is true.
3 0
3 years ago
Give an example of two numbers that are both 6-digit numbers, but the greater number is determined by the hundreds place
SashulF [63]
The order of the numbers for a 6-digit number from left to right is as follows:
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The hundreds in the first is 8 while the hundreds in the second is 2. Therefore, the first number is larger.
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