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alexdok [17]
3 years ago
10

A radio station has a broadcast area in the shape of a circle with equation x^2+y^2=5 625

Mathematics
1 answer:
Mars2501 [29]3 years ago
8 0
Let us assume that the center of the circle is (0,0)

(x-h)² + (y-k)² = r²
x² + y² = 5,625

r² = 5,625
r = √5,625
r = 75

Area of a circle = π * r²
A = 3.14 * (75mi)²
A = 3.14 * 5,625 mi²
A = 17,662.50 mi²
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Answer the ones you want to. At least answer one…
Artyom0805 [142]

Answer:

9. First Five terms

If n=0. Then,

\frac{4(0) - 5}{2}

\frac{0 - 5}{2}  =  \frac{ - 5}{2}

If n=1. Then,

\frac{4(1) - 5}{2}

\frac{4 - 5}{2}  =  \frac{ - 1}{2}

If n=2. Then,

\frac{4(2) - 5}{2}

\frac{8 - 5}{2}  =  \frac{3}{2}

If n=3. Then,

\frac{4(3) - 5}{2}

\frac{12 - 5}{2}  =  \frac{7}{2}

If n=4. Then,

\frac{4(4) - 5}{2}

\frac{16 - 5}{2}  =  \frac{11}{2}

If n=5. Then,

\frac{4(5) - 5}{2}

\frac{20 - 5}{2}  =  \frac{15}{2}

If n=6. Then,

\frac{4(6) - 5}{2}

\frac{24 - 5}{2}  =  \frac{19}{2}

7 0
3 years ago
what is the equation, in slope- intercept form, of the line that contains the points (-3,4) and (5,7)
gavmur [86]

Answer:

y = \frac{3}{8} x + \frac{41}{8}

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

To calculate the slope use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)

m = \frac{7-4}{5+3} = \frac{3}{8}, hence

y = \frac{3}{8} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

using (5, 7 ), then

7 = \frac{15}{8} + c ⇒ c = 7 - \frac{15}{8} = \frac{41}{8}

y = \frac{3}{8} x + \frac{41}{8} ← equation in slope-intercept form


6 0
3 years ago
12.38 in expanded form
vitfil [10]
12.38 in expanded form is write like:-

10 + 2 + .3 + .08 = 12.38

To write a number in expanded form just means to write the number in a layout and when you add it up it will become the number you needed to write in expanded form. 

So, 12.38 written in expanded form is:- 10 + 2 + .3 + 0.8

Hope i helped ya!! 
4 0
3 years ago
Please Help ASAP! Will name Brainliest! Question: Minimize the objective function P = 5x + 8y for the given constraints. x ≥ 0 y
maksim [4K]

Answer:

Option D.

Step-by-step explanation:

Minimize the objective function P = 5x + 8y for the given constraints.

x\geq 0,y\geq 0

2x+3y\geq 15

3x+2y\geq 15

The related equations of above inequalities are

2x+3y=15

3x+2y=15

For 2x+3y=15,

x     y

0     5

7.5   0  

Plot (0,5) and (7.5,0) and join them by straight line.

For 3x+2y=15,

x     y

0     7.5

5      0  

Plot (0,7.5) and (5,0) and join them by straight line.

Check the inequalities for (0,0).

2(0)+3(0)\geq 15\Rightarrow 0\geq 15 False

3(0)+2(0)\geq 15\Rightarrow 0\geq 15 False

It means both lines are solid lines and shaded region for each lies opposite side of (0,0).

From the below graph it is clear that the vertices of feasible region are (0,7.5), (3,3), (7.5,0).

Point       P = 5x + 8y

(0,7.5)     P=5(0)+8(7.5)=60

(3,3)     P=5(3)+8(3)=15+24=39

(7.5,0)     P=5(7.5)+8(0)=37.5 (Minimum)

So, minimum value is 37.5.

Therefore, the correct option is D.

3 0
3 years ago
Need help please 10 points
Maslowich

πr² = π.5.5 = π25 units² or 78.5 units²

hope it helps...!!!

6 0
2 years ago
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