Make sure you get this right and I need proof
Make sure you get this right and I need proof - 1

Answers

Answer 1
Answer:

Answer:

-54

Step-by-step explanation:

100 square rooted is 10. 10*-6 is -60.

36 square rooted is 6.

-60+6=-54


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The piggy bank contains 16 dimes, 8 nickels, and 12 quarters. This morning you removed 3 dimes and 5 nickels.Which expression correctly shows the amount remaining in the piggy bank?

A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).a = and b =

Answers

Answer:

Hence, we have:

               a= 3 and b= 4

Step-by-step explanation:

It is given that:

A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).

i.e.

(a+ib)(2+3i)-i=(-11+5i)(1-i)\n\ni.e.\n\na(2+3i)+ib(2+3i)-i=-11(1-i)+5i(1-i)\n\ni.e.\n\n2a+3ai+2bi+3bi^2-i=-11+11i+5i-5i^2

Since, we know that :

i^2=-1

Hence, we have:

2a+3ai+2bi-3b-i=-11+11i+5i+5\n\ni.e.\n\n(2a-3b)+i(3a+2b-1)=-11+5+11i+5i\n\ni.e.\n\n(2a-3b)+i(3a+2b-1)=-6+16i

i.e. we have:

2a-3b=-6---------(1)

and

3a+2b-1=16\n\ni.e.\n\n3a+2b=16+1\n\ni.e.\n\n3a+2b=17------------(2)

On multiplying equation (1) by 2 and equation (2) by 3 we get:

13a=39\n\ni.e.\n\na=3

on putting the value of a into equation (1) we get:

2* 3-3b=-6\n\ni.e.\n\n6-3b=-6\n\ni.e.\n\n-3b=-6-6\n\ni.e.\n\n-3b=-12\n\ni.e.\n\nb=4

(a+bi)(2+3i)-i=(-11+5i)(1-i)
2a+3ai+2bi+3bi²-i=-11+11i+5i-5i²
2a+(3a+2b-1)i-3b=-11+16i+5
(2a-3b)+(3a+2b-1)i=-6+16i
Therefore; we have the next system of equations:
2a-3b=-6
3a+2b-1=16

Finally, the system of equations is:
2a-3b=-6
3a+2b=17
We can solve this system of equations by reduction method
 2(2a-3b=-6) 
 3(3a+2b=17)
----------------------
   13a=39  ⇒a=39/13=3

 3(2a-3b=-6)
-2(3a+2b=17)
----------------------
       -13b=-52   ⇒ b=52/13=4

Answer: a=3;    b=4

The area a sector of a circle is given by a=pir^2s/360, where r is the radius of the circle and s is the angle measure

Answers

To solve the equation of the  of the sector of circle for s we shall have:
a=πr^2s/360
multiplying both sides by 360 we get:
360
×a=(πr^2s/360)×360
360a=πr^2s
dividing both sides by πr^2
(360a)/πr^2=(πr^2s)/πr^2
this gives us:
s=(360a)/(πr^2)

Answer: s=(360a)/(πr^2)

Final answer:

The area of a sector of a circle 'a' can be calculated using the formula a=πr²s/360, where 'r' is the radius and 's' is the angle measure in degrees. The rotation angle is the arc length in relation to the radius of the circle. This concept is part of mathematics introduced in high school.

Explanation:

The subject of your question is regarding the area of a sector in a circle. This is a mathematical concept usually introduced in high school level geometry. Here, the formula you've mentioned, a=πr²s/360, will enable you to calculate the area 'a' of a sector in a circle. 'r' represents the radius of the circle and 's' is the angle measure in degrees.

When we refer to rotation angle, we are talking about the arc length in relation to the radius of the circle. A full revolution of a circle is 360 degrees (°) which is equal to 2π radians. This is due to the definition of one radian as the angle when the arc length is equal to the radius of the circle.

To understand this, let's consider an example. If 's' is 90 degrees, and the radius 'r' is 1, then the area 'a' of the sector would be: a = π*1²*90/360 = π/4 square units.

Learn more about Area of a Sector here:

brainly.com/question/29055300

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Jess bought 23 12pounds of candy
for Halloween. She
gave out two-
thirds of the
candy to trick or
treaters How
many pounds of
candy did she give
out?

Answers

She gave out 12 1/2 of her candy to people

Answer:

184 pounds

Step-by-step explanation:

23*12=276

276*2/3=184 lbs

May someone please tell me the answer

Answers

The third one is the correct answer

Help first gets brainly

Answers

Answer:

1. 100        1. 150           1. 1

2.45          2. 800

Step-by-step explanation:

1. 25% * 400 = 0.25 * 400 = (1)/(4) * 400 = 100

2. 50% * 90 = 45

1. 75% * 200 = 0.75 * 200 = 3/4 * 200 = 150

2. 10% * 8000 = 0.1 * 8000 = 800

1. 5% * 20 = 0.05 * 20 = 1

Một xưởng dệt thảm được giao làm một số thảm trong 30 ngày. Thực tế xưởng dệt đã tăng năng xuất lên 25% nên sau 25ngay không những đã làm xong số thảm mà còn làm thêm được 20 chiếc nữa. Tính số lượng thảm mà xưởng đã dệt trong 25 ngày

Answers

Gọi số tấm thảm xưởng dệt dệt theo dự định là x ( tấm, x >0 )

⇒ số tấm thảm xưởng dệt dệt trong 1 ngày theo dự định x/30 (tấm)

xưởng dệt dệt đc số tấm thảm trong thực tế là x/20 (tấm)

⇒số tấm thảm xưởng dệt dệt trong 1 ngày thực tế là x+20/25 (tấm)

Vì năng suất tăng 25% nên số tấm thảm dệt được trong 1 ngày thực tế sẽ bằng 125% số tấm thảm dệt đc trong 1 ngày theo dự định nên ta có PT : x+20/25=125% * x/30

me lười làm khúc dưới quá nên tự xử nha.