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Kruka [31]
3 years ago
6

Need help please will give brainliest

Mathematics
1 answer:
Snezhnost [94]3 years ago
5 0

Answer:

x = 60

Step-by-step explanation:

The formula for this kind of question is

Area of sector = x / 360 * pi * r^2  = 24*pi

x/360 * pi * 12^2 = 24 pi

x/360 * pi * 144 = 24 pi                  the pi s cancel out

x / 360 = 24/144                             Multiply both sides by 360

x = 24 * 360/144

x = 60

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a gardener has 8 pounds of fertilizer. He packs the fertilizer into 5/8 pound bags. What is the maximum number of 5/8 pound bags
navik [9.2K]
A gardener has 8 pounds of fertilizer. He packs the fertilizer into 5/8 pound bags. What is the maximum number of 5/8 pound bags he can pack?

so first you multiply 8 pounds times 5 from 5/8 which is 40/8 pounds bags
now how many 8s can fit in 40 
40 divided by 8 =5 
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7 0
3 years ago
What is the solution set of the equation using the quadratic formula?
oee [108]

(1)

we are given

x^2+6x+10=0

we can use quadratic formula

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

now, we can compare and find a , b and c

we get

a=1,b=6,c=10

now, we can plug these values into quadratic formula

x=\frac{-6\pm \sqrt{6^2-4(1)(10)}}{2(1)}

x=\frac{-6+\sqrt{6^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}

we can simplify it

x=-3+i

x=\frac{-6-\sqrt{6^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}

x=-3-i

so, we will get solution

{−3+i, −3−i}.........Answer

(2)

we are given equation as

x^2-8x+14=0

Since, Jamal solve this equation by completing square

so, firstly we will move constant term on right side

so,  subtract both sides by 14

x^2-8x+14-14=0-14

x^2-8x=-14

we can write

-8x=-2\times 4\times x

so, we will add both sides by 4^2

x^2-8x+4^2=-14+4^2

we get

x^2-8x+16=-14+16..............Answer


4 0
2 years ago
abraham has 16 blue marbles and 18 rwd marbles. if he wamts to place them in identical groups without any marbles left over
VladimirAG [237]

Answer:

If Abraham divides them into 2 separate groups, he should have 17 marbles on each group.

Step-by-step explanation:

8 0
3 years ago
Marion is observing the velocity of a cyclist at different times. After two hours, the velocity of the cyclist is 18 km/h. After
Ilya [14]
Part A:
Express the given number of hours and velocities of the cyclist as ordered pairs. The time (number of hours) can be our abscissa (x-coordinate) and the velocities can be our ordinate (y-coordinate). The coordinates are therefore (2, 18) and (4, 4). The equation that can be formed in this is established through the two-point equation.

       (y - y₁) = ((y₂ - y₁)/(x₂ - x₁))(x - x₁)

Substitute the known variables.
      (y - 18) = ((4 - 18)/(4 - 2))(x - 2)

Simplifying the equation,
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  y = -7x + 32

<em>ANSWER: y = -7x + 32

</em>
Part B: This can be graph in the Cartesian plane and numbers 1 to 8 can be substituted to y and take note of the ordered pairs for each point. The slope of the line should be -7 and the y-intercept is 32.<em>
</em>
4 0
3 years ago
The sum of three consecutive odd integer is 21. What is the greatest integer
Mrac [35]
Try a few:

1+3+5=9 too small
5+7+9= 21 just right

The greatest integer is 9
3 0
3 years ago
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