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3 years ago

Find the area of a circle with a circumference of 6.28 units.

Mathematics

1 answer:

myrzilka [38]3 years ago

8 0

Answer:

19.73 units.

Step-by-step explanation:

the area of a circle can be found with the equation C=2πr.

first, find the radius of the circle by dividing 6.28 by 2.

6.28/2 = 3.14

next, set up the equation.

C = 2 · π · 3.14

C = 2 · 3.14 · 3.14

C = 19.73

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The keyword in here is undefined slope

So it must be x=1

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3 years ago

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4 years ago

Solve the equation 3x^2+x-5=0

mihalych1998 [28]

Answer:

Step-by-step explanation:

Use the quadratic equation, with a = 3, b = 1 and c = -5

Discriminant b^2 - 4ac is 1 - 4(3)(-5) = 61

Because the discriminant is + there are two real, unequal roots:

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7 0

3 years ago

"A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a la

Savatey [412]

Large cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 9^2 x 15

= 1272.3 cubic inches

Smaller cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 3^2 x 5

= 47.1 cubic inches

1272.3 - 47.1 = 1225.2 cubic inches

1272/3.14 ≈ 390

The answer is 390 × pi.

4 0

3 years ago

Two fractions have denominators 4 and 6. Their sum is 19/12

Viefleur [7K]

The value of numerators are 3 and 5

Solution:

Let the numerators of two fractions be x and y

Two fractions have denominators 4 and 6. Their sum is 19/12

Therefore,

$\frac{x}{4} + \frac{y}{6} = \frac{19}{12}$

Cross multiply L.H.S to get simplified

$\frac{6x+4y}{24} = \frac{19}{12}\\\\6x + 4y = 38 ------- eqn 1$

If the numerators are switched their sum is 7/4

Therefore,

$\frac{y}{4} + \frac{x}{6} = \frac{7}{4}$

On simplification, we get

$\frac{6y + 4x}{24} = \frac{7}{4}\\\\4x + 6y = 42 -------- eqn 2$

Solve eqn 1 and eqn 2

Multiply eqn 1 by 4

24x + 16y = 152 --------- eqn 3

Multiply eqn 2 by 6

24x + 36y = 252 ---------- eqn 4

Subtract eqn 3 from eqn 4

24x + 36y = 252

24x + 16y = 152

( - ) -------------------

20y = 100

Substitute y = 5 in eqn 1

6x + 4(5) = 38

6x = 38 - 20

6x = 18

Thus the value of numerators are 3 and 5

5 0

3 years ago