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2 years ago

7

A circle has a radius of 18.2 cm. Find the

1 answer:

pishuonlain [190]2 years ago

6 0

Answer:

54.6cm

Step-by-step explanation:

Arc length = radius * central angle

= 18.2*3

=54.6

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Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

7 0

2 years ago

Find the area of the sector round to the nearest hundredth.

DIA [1.3K]

Answer:

41.89 units

Step-by-step explanation:

Area of a sector: Θ/360 * (pi)(r)^2

6 0

2 years ago

A circular plate has circumference of 26.4 inches. What is the area of this plate? Use 3.14 for pi.

mafiozo [28]

I believe the answer is 55.49 inches
using the equation C^2/(4*3.14)

3 0

2 years ago

F(x)=3x-2<br>Simplify F(2x)-F(x+2)

inysia [295]

Answer:

3x - 6

Step-by-step explanation:

To evaluate f(2x) and f(x + 2) substitute x = 2x and x = x + 2 into f(x)

f(2x) = 3(2x) - 2 = 6x - 2

f(x + 2) = 3(x + 2) - 2 = 3x + 6 - 2 = 3x + 4

Thus

f(2x) - f(x + 2)

= 6x - 2 - (3x + 4)

= 6x - 2 - 3x - 4

= 3x - 6

7 0

3 years ago

40% of the students in a school band play brass instruments while 4 students play strings instruments

MaRussiya [10]

10 students (brass)=40% of band
4 students (strings)=16% of band
? students (other)=44% rest of band
14/56%=?/44%
(cross multiply to find ?){don't forget to turn percents into decimals}
?=11
There are 25 students in total in the band.

5 0

3 years ago