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SOVA2 [1]
3 years ago
9

How many significant digits are there in the measurement 0.09584 kg?

Mathematics
1 answer:
Vesnalui [34]3 years ago
8 0
Four as zeros don't count when you're figuring out significant figures
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Write the equation of the circle below to complete the square. Also determine the area of the circle.
diamong [38]

Answer: (x-7)^2+(y+2)^2=11^2 ; A=121\pi

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

(x-a)^2+(y-b)^2=r^2

Begin by grouping the 'x' terms and 'y' terms:

(x^2-14x)+(y^2+4y-68)=0

Complete the square for the second polynomial:

(\frac{b}{2} )^2=(\frac{4}{2} )^2=4

(x^2-14x)+(y^2+4y+4-4-68)=0

(x^2-14x)+(y^2+4y+4)-4-68=0

(x^2-14x)+(y^2+4y+4)-72=0

(x^2-14x)+(y+2)^2-72=0

Do the exact same process with the other polynomial:

(x^2-14x-72)+(y+2)^2=0

Complete the square:

(\frac{14}{2} )^2=49

(x^2-14x+49-49-72)+(y+2)^2=0

(x^2-14x+49)-49-72+(y+2)^2=0

(x^2-14x+49)-121+(y+2)^2=0

(x-7)^2-121+(y+2)^2=0

Bring the 121 to the other side to get:

(x-7)^2+(y+2)^2=121

(x-7)^2+(y+2)^2=11^2

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

A=\pi r^2=121\pi

8 0
2 years ago
Ten times the sum of half of a number and 6 is 8
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10\cdot\left(\dfrac{1}{2}x+6\right)=8\ \ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\\\\5x+60=8\ \ \ \ |subtract\ 60\ from\ both\ sides\\\\5x=-52\ \ \ \ |divide\ both\ sides\ by\ 5\\\\\boxed{x=-10.4}
3 0
3 years ago
E) Andy is 2 times younger than his sister and his father is 25 years older than him. If the total of their ages is 53 years, wh
netineya [11]
Yes, we need the sisters age to find it the answer, not trying to be rude we just need the sisters age.
7 0
3 years ago
What number completes this sentence12/18=x/30
BartSMP [9]
Cross multiplying:-
18*x = 12*30
x = 360 / 18

x = 20 answer
5 0
3 years ago
Solve 5x - 2 = 13.<br> Please be quick
IceJOKER [234]

Answer:

C. 3

Step-by-step explanation:

5x - 2 = 13

5x = 15

x = 15 ÷ 3

x = 3

8 0
3 years ago
Read 2 more answers
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