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2 years ago

Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub. What is the area

Mathematics

2 answers:

harkovskaia [24]2 years ago

7 0

Answer:

The area of the cover for the hot tub must be:

38 square feet.

Step-by-step explanation:

First, you must understand that since a hydromassage tub is mentioned and the diameter, it is assimilated that it is round in its upper part, which is why the formula is used to find the area of a circle:

Area of a circle = pi * radius ^ 2 (you must know that the radius is half the diameter)

Since the diameter is mentioned, it can be replaced in the formula:

Area of a circle = 3.14 * (3.5 feet) ^ 2
Area of a circle = 38,465 square feet. Approximately 38 square feet.

exis [7]2 years ago

3 0

Answer:

I believe it is 38

Step-by-step explanation:

HAVE A GOOD DAY AND GOD BLESS YOU

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determine the slope-intercept form of the equation of the line parallel to y=-4/3x + 11 that passes through the point (-6,2

Zielflug [23.3K]

is it...

y=-4/3x+10

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1 year ago

There is a rectangular prism that can fit 28 cubes with edge lengths of 1/2 inch each. What is the volume of this rectangular pr

siniylev [52]

Answer:

3.5 inch^3

Step-by-step explanation:

Volume of cube: V = s^2,

where V = volume, and s = length of side or edge.

The volume of the prism is the same as the volume of 28 cubes with edge length of 1/2 inch. To find the volume of the prism, find the volume of one cube and multiply by 28.

volume of prism = 28 * volume of cube

volume of prism = 28 * (1/2 inch)^3

volume of prism = 28 * 1/8 inch^3

volume of prism = 3.5 inch^3

3 0

3 years ago

If A= (7,9) and B= (3,12) what is the length of AB?

MissTica

The length can be found using the Pythagorean Theorem...

c^2=a^2+b^2 and in this case:

d^2=(dx^2)+(dy^2)

d^2=(3-7)^2+(12-9)^2

d^2=-4^2+3^2

d^2=16+9

d^2=25

d=5

So the length of AB=5 units.

8 0

3 years ago

Read 2 more answers

Write the equation of a line that passes through the point (1,4) and has a slope of 9.

Kryger [21]

Answer:

y=9x-5

Step-by-step explanation:

You want to find the equation for a line that passes through the point (1,4) and has a slope of 9.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 9. So you can right away fill in the equation for a line somewhat to read:

y=9x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(1,4). When x of the line is 1, y of the line must be 4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the 9 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (1,4).

So, why not plug in for x the number 1 and y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(1,4). y=mx+b or 4=9 × 1+b, or solving for b: b=4-(9)(1). b=-5.The equation of the line that passes through the point (1,4) with a slope of 9

y=9x-5

4 0

2 years ago

What point in the feasible region maximizes the objective function, 3x + y ≤ 12, x+y ≤5, x ≥0,y ≥0

forsale [732]

Step-by-step explanation:

We have to find the point in the feasible region which maximizes the objective function. To find that point first we need to graph the given inequalities to find the feasible region.

Steps to graph 3x + y ≤ 12:

First we graph 3x + y = 12 then shade the graph for ≤.

plug any value of x say x=0 and x=2 into 3x + y = 12 to find points.

plug x=0

3x + y = 12

3(0) + y = 12

0 + y = 12

y = 12

Hence first point is (0,12)

Similarly plugging x=2 will give y=6

Hence second point is (2,6)

Now graph both points and joint them by a straight line.

test for shading.

plug any test point which is not on the graph of line like (0,0) into original inequality 3x + y ≤ 12:

3(0) + (0) ≤ 12

0 + 0 ≤ 12

0 ≤ 12

Which is true so shading will be in the direction of test point (0,0)

We can repeat same procedure to graph other inequalities.

From graph we see that ABCD is feasible region whose corner points will result into maximum or minimu for objective function.

Since objective function is not given in the question so i will explain the process.

To find the maximum value of objective function we plug each corner point of feasible region into objective function. Whichever point gives maximum value will be the answer

7 0

2 years ago