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3 years ago

James won 9 out of 12 games in a school competition. What percent of competitions did James win

Mathematics

1 answer:

ratelena [41]3 years ago

5 0

75% because 9/12 simplified is 3/4 which is 75%

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Write the formula for the parabola that has x- intercepts (3,0) and (8,0), and y- intercept (0,−2)

alexira [117]

Answer: $x^2-5x=-12(y+2)$

Step-by-step explanation:

Given

Parabola has x-intercept has $(3,0)$ and $(8,0)$

and Y-intercept as $(0,-2)$

Now the general equation of parabola is

$y=ax^2+bx+c\quad \ldots(i)$

Substitute $(0,-2)$ in $(i)$ we get

$-2=c$

Now substitute $(3,0)$ in equation $(i)$

$0=a(3)^2+3b-2\quad \ldots(ii)$

Now substitute $(8,0)$ in equation $(i)$

$0=a(8)^2+8b-2\quad \ldots(iii)$

Solving $(ii)$ and $(iii)$ we get

$a=\frac{-1}{12}\ \text{and}\ b=\frac{5}{12}$

therefore

$y=\frac{-x^2}{12}+\frac{5x}{12}-2$

$12y=-x^2+5x-24$

5 0

3 years ago

A-2b, If a = - 2.5, b = - 3.3

lorasvet [3.4K]

Answer:

-2.5 - 2(-3.3)

-2.5 + 6.6 = 4.1

8 0

2 years ago

What value should go in the empty box to complete the calculation for finding the product of 62.834 × 0.45?

Andreyy89

Answer:28.2753

Step-by-step explanation:

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3 years ago

The circumference of a circle is 15π ft. What is the area, in square feet? Express your answer in terms of π.

DerKrebs [107]

Answer:

Area of the circle is 56.25π square feet.

Step-by-step explanation:

Given that:

The circumference of a circle is 15π ft.

To Find:

What is the area, in square feet?

We know that:

Circumference of a circle = 2πR
Area of a circle = πR²

Where,

Radius is denoted as R.

Finding the radius of the circle:

Circumference of a circle = 15π

⟶ 2πR = 15π

⟶ 2πR = 2π × 7.5

Cancelling 2π.

⟶ R = 7.5

∴ Radius of the circle = 7.5 ft.

Finding the area of the circle:

⟶ Area = πR²

⟶ Area = π(7.5)²

⟶ Area = π × 7.5 × 7.5

⟶ Area = π × 56.25

⟶ Area = 56.25π

∴ Area of the circle = 56.25π ft.²

7 0

3 years ago

Is this figure a polygon? Explain.

denis-greek [22]

Yes.

It’s a flat figure (2D), and all of its lines are connected with one another. There aren’t any open points/lines. It’s closed to create a shape. This means it’s a polygon.

3 0

1 year ago