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2 years ago

I WILL Give Brainlist !! ASAP Please Help its A Math Question geometry

Mathematics

1 answer:

Vesna [10]2 years ago

5 0

The diagram which the locus of all the points in the plane that are 3cm away from a single point A is Option B

<h3>What is a locus?</h3>

A locus is defined as a set of points, which satisfies a given condition or situation for a shape or a figure.

It is important to note that:

The locus of points in a plane that are all the same distance from a single point is a circle with radius, r
A circle is the locus of all the points in the plane which are equidistant from the points in that plane
The locus of all points equidistant from the vertices of a square is a straight line that is perpendicular to the plane of the square, through the center of the square

We can see that for a circle, the locus of all points in the plane is the radius equidistant from that line.

Thus, the diagram which the locus of all the points in the plane that are 3cm away from a single point A is Option B

Learn more about locus here:

brainly.com/question/23824483

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Maja manages a community garden which has rectangular garden plots that are 15 ft by 10 ft. She wants to add a uniform path arou

tiny-mole [99]

The path should be 6.38 feet wide

Let x be the width of the path.

Since the rectangular plot has an area with dimensions 15 ft by 10 ft, we add x to each dimension to give the dimensions of the rectangular plot plus uniform path.

So, the dimensions are 15 + x by 10 + x respectively.

So, the area of the rectangular plot plus uniform path is A

A = (15 + x)(10 + x)

Since the combined area of the path is 350 square feet, A = 350 ft²

So, (15 + x)(10 + x) = 350

Expanding the brackets, we have

150 + 15x + 10x + x² = 350

x² + 25x + 150 = 350

x² + 25x + 150 - 350 = 0

x² + 25x - 200 = 0

Using the quadratic formula, we find x, the width of the path

So,

$x = \frac{-25 +/-\sqrt{25^{2} - 4X1 X (-200)} }{2 X1 } \\x = \frac{-25 +/-\sqrt{625 + 800)} }{2}\\x = \frac{-25 +/-\sqrt{1425} }{2}\\x = \frac{-25 +/-37.75 }{2}\\x = \frac{-25 + 37.75 }{2} or x = \frac{-25 - 37.75 }{2}\\x = \frac{12.75 }{2} or x = \frac{-62.75 }{2}\\x = 6.375 or x = -31.375$

Since x cannot be negative, we choose the positive answer.

x = 6.375 ft

x ≅ 6.38 ft

So, the path should be 6.38 feet wide

Learn more about width of a path here:

brainly.com/question/15382035

5 0

3 years ago

Write the following number in scientific notation 0.0012

GrogVix [38]

$0.0012=1.2\cdot10^{-3}$

4 0

3 years ago

Nina [5.8K]

Answer:£22.50

Step-by-step explanation:

£15x7=£105

285-105= 180 : 8= £22.50p

8 0

4 years ago

Find the value of k if the line 2x-y+k=0 may touch the circle x^2 + y^2=5

Firlakuza [10]

Answer:

k = ±4

Step-by-step explanation:

Equation of the circle is:

x² + y² = 5

This means from the general form of equation of a circle;

Centre coordinates is (0, 0) and radius is; √5.

The line 2x - y + k = 0 touches the circle. Thus, perpendicular distance from centre of the circle to this line is equal to the circle radius;

Thus;

|((2 - 0) - (1 × 0) + k)|/(√(2² + 1²)) = √5

|(1 + k)|/√5 = √5

Multiply both sides by √5 to get;

|1 + k| = 5

|k| = 5 - 1

k = ±4

4 0

3 years ago

Heather wants to purchase an electronic guitar. The price of the guitar with tax is $2,420. If she can save $90 per month, how l

solong [7]

Answer:

About 27 months with additional days

Step-by-step explanation: 2420/90 is 26.888888888888888888888888888889

3 0

3 years ago