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Angelina_Jolie [31]
3 years ago
5

Quiz: Completing the Square 7 Solving Quadratic Equations

Mathematics
1 answer:
galina1969 [7]3 years ago
7 0

Answer:

Step-by-step explanation:

x²-5x=12

x²-5x+(\frac{-5}{2})²=12+(frac{-5}{2})²

(x-\frac{5}{2} )^2=12+\frac{25}{4} =\frac{73}{4} \\x=\frac{5}{2} \pm\frac{\sqrt{73} }{2}=2.5 \pm 4.272\\x\approx 6.772,-1.772\\\\x \approx 06.77,-1.77

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A circular cloth with a diameter of 20 inches is placed on a circular tray with a diameter of 24 inches. What fraction of the tr
son4ous [18]

Answer:

the fraction of surface that is not covered is 11/36

Step-by-step explanation:

To do this we first have to calculate the two surfaces

s = π * r^2

π = 3.14

r = d/2

d1 = 20

d2 = 24

r1 = 20/2

r1 = 10

r2 = 24/2

r2 = 12

s1 = π * r1^2

s1 = 3.14 * 10^2

s1 = 3.14 * 100

s1 = 314

s2 = π * r2^2

s2 = 3.14 * 12^2

s2 = 3.14 * 144

s2 = 452.16

to know the part that is not covered we simply do the s1 over the s2 and we subtract that from 1

s1 / s2 =

314 / 452.16 =

25/36

1 we subtract this

1 - 25/36 = 11/36

the fraction of surface that is not covered is 11/36

3 0
3 years ago
Where does Pythagorean identity come from and how does it relate to right triangles
sergiy2304 [10]
The Pythagorean identity is based from the three trigonometric identities that apply to the Pythagorean theorem. The three identities are founded on the concept that the hypotenuse is equal to the sum of the squares of the two sides of the right triangle. The identities can be determined through the substitution of sine and cosine in the right triangles measurements.
5 0
3 years ago
What is the exact circumference of a circle with a diameter of 15 in?
nexus9112 [7]
Circumferece = pi•diameter
C=pi•15 inches
6 0
4 years ago
PlEaSe HeLp ItS tImEd So HuRrY>>>>
Bumek [7]
It’s the second one, st=63, tu=63 and su =126
8 0
4 years ago
Venetta and Bill each made a chain of paper clips and measured their lengths Venetta's paper clip chain was 3 feet 5 inches long
damaskus [11]

Answer:

Vennetta

Step-by-step explanation:

Length of Venetta's paper clip chain = 3 feets 5 inches

Length of Bill's paper clip chain = 39 inches

Converting both Venetta's paper clip chain length to inches only :

1 foot = 12 inches

3 feets = (12 * 3) = 36 inches

Hence,

Length of Venetta's paper clip chain in inches :

(36 + 5) inches = 41 inches

41 inches > 39 inches .

Hence, Venetta has the long clip chain.

8 0
3 years ago
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