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2 years ago

A baby monitor picks up signals within a 50 meter radius. What area of coverage does the baby monitor provide?

Mathematics

1 answer:

natima [27]2 years ago

4 0

Answer:

15.24 square meters

Step-by-step explanation:

Signal range of baby monitor is 50 meter radius.

The baby monitor will therefore cover an entire area of 50 meter radius.

Formula for finding the area of a circle is = π r 2 = π X r X r

Meaning: π = 3.142, r = radius of signal monitor

Therefore Area of circle = Square meters of coverage of baby monitor = 3.142 X 50 meters X 50 meters = 157.14 m2 (157.14 meters squared)

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Solve the whole problem i give brainliest please help me.

Anna11 [10]

Answer:

The inequality is 12.5v + 70 ≥ 215

and the amount of visits they can make is 12 visits

Step-by-step explanation:

if you take away (subtract) 70 from both sides, you'll get

12.5v ≥ 145

and when you divide both sides by 12.5, you'll get 11.6, or 12

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3 years ago

Which Venn diagram is NOT correct? (Geometry Multiple CHoice)

Anna [14]

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3 years ago

Read 2 more answers

4. What is the system of equations that describes the following graph?

GarryVolchara [31]

Answer:

The system of inequalities is

$y$

$y>0.25x$

Step-by-step explanation:

step 1

Find the equation of the dashed line with negative slope

The line passes through the points

(0,-2) and (-2,0)

Find the slope

$m=(0+2)/(-2-0)=-1$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=-1\\b=-2$

substitute

$y=-x-2$

The solution of the inequality is the shaded area below the dashed line

therefore

The equation of the inequality A is

$y$

step 2

Find the equation of the dashed line with positive slope

The line passes through the points

(0,0) and (4,1)

Find the slope

$m=(1-0)/(4-0)=0.25$

Find the equation of the line (direct variation)

$y=kx$

we have

$k=0.25$

substitute

$y=0.25x$

The solution of the inequality is the shaded area above the dashed line

therefore

The equation of the inequality B is

$y>0.25x$

therefore

The system of inequalities is

$y$

$y>0.25x$

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3 years ago

Use algebra to simplify the expression before evaluating the limit. In particular, factor the highest power of n from the numera

bija089 [108]

Answer:

a) {2/n²-7/n+9}/{8+2/n-6/n²}

b) 9/8

c) The sequence converges

Step-by-step explanation:

Given the limit of the function

limn→[infinity]2−7n+9n²/8n²+2n−6

To simplify the function given, we will have to factor out the highest power of n which is n² from the numerator and the denominator. The function will then become;

2−7n+9n²/8n²+2n−6

= n²{2/n²-7/n+9}/n²{8+2/n-6/n²}

The n² at the numerator will then cancel out the n² at the denominator to have resulting simplified equation as;

{2/n²-7/n+9}/{8+2/n-6/n²}

Evaluating the limit of the resulting equation will give;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

Note that limn→[infinity] a/n = 0 where a is any constant.

Therefore;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

= (0-0+9)/(8+0-0)

= 9/8

Since the limit of the sequence gives a finite value which is 9/8, thus the sequence in question is a convergent sequence.

The limit of a sequence only diverges if the limit of such sequence is an infinite value.

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4 years ago

Which exponential function models how much a $52,500 car depreciates at 9%

hram777 [196]

Answer:

y = 52500(.91)^x

Step-by-step explanation:

Exponential functions are written y = ab^x where a is the starting point and b is the common ratio. We know the initial worth is 52500 and each year the worth decreases 9% of the original year, making it work 91% of the previous value.

3 0

3 years ago