Perimeter of a rectangular polygon is 4cm.What is the measurement of one side? (Please show working out)

Answer:

0.94

Step-by-step explanation:

Formula; P(AUB) = P(A) + P(B) - P(AB).

P(A) = 0.7

P(B) = 0.8

P(AB) = 0.56

=  0.7 + 0.8 - 0.56

=  0.94

Hence, P(A U B) = 0.94

[RevyBreeze]

Answer:

P(A ∪ B) = 0.94

Step-by-step explanation:

P(A) = 0.7

P(B) = 0.8

P (A ∩ B) = 0.56

P(A ∪ B) = P(A) + P(B) - (A ∩ B)

⇒ P(A ∪ B) = 0.7 + 0.8 - 0.56

⇒ P(A ∪ B) = 0.94

Answer:

15 feet x 15 feet

Step-by-step explanation:

I'm worried about Fido, so I'll use three different approaches to maximizing his play space:  Graphing, Chart, and First Derivative.  This is perhaps more than Fido wants, but it hopefully offers ideas on how these types of problems can be answered.

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Fido is limited to 60 feet of fence, which will form the perimeter.  The area  of a rectangle is (length)*(width).  Let's set length to L and width to W.  I'll use A for area.

Therefore A = L*W

The rectangle's perimeter will be 2L + 2W, and this is equal to 60 feet:

2L + 2W = 60

Let's rearrange this equation to isolate either W or L.  I chose L:

L + W = 30

L = 30 - W

Now let's use this definition of L in the Area equation:

A = L*W

A = (30-W)*W

A = 30W - W^2

Graphing

We can graph this function (A = 30W - W^2) to find the maximum area.  See the attached image.  We find a maximum area of 225 ft^2 when the width is 15 feet.  15 feet would mean that Fido's roaming pen will be in the shape of a square;  15 feet for each side equals 60 feet total fence.

Chart

One can also find a maximum by calculating a variety of conditions set by L = 30 - W.  I randomly picked lengths from 2 to 24 feet and calculated the resulting width and then the resultant area for each condition.  See attached image.  Although I did not pick 15 feet, we can see that the area increases until the length transitions from 14 to 16 feet.  It reverses direction at that point. A closer inspection around those values will show that 15 feet is, in fact, the optimum value to produce a pen with the most area.

First Derivative

One could also take the first derivative of the equation A = 30W - W^2 and set it equal to zero.  The fist derivative tells us the slope of the line at any point (for a value of W in this example).  The slope is zero only when the curve hits a maximum.

A = 30W - W^2

A' = 30 -2W

0 = 30 - 2W

2W = 30

W = 15 feet

The slope is zero when the width is 15 feet.  15 feet is the optimum for creating a pen with the most area possible with 60 feet of fence.

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All three approaches yield the same result.  Graphing is fun when you have access to DESMOS.  Charts are fun if you like Excel.  Derivatives can also be fun, mostly because I always ponder "Who had the audacity to think this might work?"  (Didn't they have something more important to do?  Raid a village, etc.?).

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Arf

Answer: D. (z2-3z+14)

Step-by-step explanation:

took the test

Answer:

Step-by-step explanation:

A function with a downward slant must have a negative slope.

All these lines are in the format y = mx + b where m is the slope's value.

The only one that fits the requirement is choice (B) which has a slope of -4.

Hope that helps!

Answer:

Step-by-step explanation:

[tex]26) tan \ 56 =\dfrac{opposite \ side }{adjacent \ side}\\\\\\ 1.4826 = \dfrac{BC}{12}\\\\\\1.4826*12 = BC[/tex]

BC = 17.8 cm

[tex]27) Cos \ x =\dfrac{adjacent \ side}{hypotenuse}\\\\Cos \ x = \dfrac{15}{18}\\\\\\Cos \ x = 0.83\\\\x = Cos^{-1} \ (0.83)\\\\[/tex]

x = 33.9°

Answer:

look it up :)

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

For commission on his sales is 7%

He makes a total sales of $ 12500

so 7 / 100 * 12500

it will be $ 875 as his total commission.

Step-by-step explanation:

hope that helps. explanation is on the paper :)

Answer:

i think 15

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

gradient=vertical distance /Horizontal distance

G=V/H

G = -4/-1

G =4

Answer:

75%

Step-by-step explanation:

Because there  were 12 marbles and only 3 of them are orange so it is a 75% chance she won't pick one and a 25% chance she will.

Hope it helps Have a great afternoon:)

Answer:

1

Step-by-step explanation:

1/2x1x2

1

Answer:

∠XYZ = 37.5

Step-by-step explanation:

IN THE IMAGE ABOVE

The only linear function is:

y = x - 5

So the correct option is B.

A linear function is a polynomial of degree 1, and can be written as:

y = a*x + b

So we have a coefficient multiplying the variable and a constant term, nothing else.

By comparing this with the options, we can see that the only linear function given is the one in option B.

y = x - 5

Where a = 1, and b = 5.

If you want to learn more about linear functions, you can read:

https://brainly.com/question/4025726

Answer:

[tex]y=3x^2+9x-30[/tex]

Step-by-step explanation:

To multiply [tex](3x+15)[/tex] with [tex](x-2)[/tex] we can use a method called the FOIL method. FOIL is an acronym standing for First, Outer, Inner, Last. This is the order in which we need to multiply. The first terms of each multiplier are [tex]3x[/tex] and [tex]x[/tex]. Therefore, we multiply these two terms to get [tex]3x^2[/tex]. The outer terms are [tex]3x[/tex] and [tex]-2[/tex]. Once again, we multiply these terms.

[tex](3x)(-2)=-6x[/tex]

Now, our equation looks like this: [tex]y=3x^2-6x[/tex]. We're not finished yet though. Next, we need to multiply the inner terms, [tex]15[/tex] and [tex]x[/tex]. This comes out as simply [tex]15x[/tex]. Now our equation looks like this: [tex]y=3x^2-6x+15x[/tex]. We just need to multiply the last terms, [tex]15[/tex] and [tex]-2[/tex]. This comes out as [tex]-30[/tex].

Our equation at this point has been fully multiplied:

[tex]y=3x^2-6x+15x-30[/tex]

We can see that we still have two like terms, [tex]-6x[/tex] and [tex]15x[/tex]. These can be combined to simply [tex]9x[/tex]. Our final equation, then, is this: [tex]y=3x^2+9x-30[/tex]

Answer:

144

Step-by-step explanation:

The shape is a trapezoid.

Add 6 and 112, which is eighteen

divide eighteen by 2, which is 9

Finally, multiply 9 and sixteen which is 144

the cost of her meal was "x", which is the 100% of her bill, we also know that $2.13 is 15% of that, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 2.13&15 \end{array}\implies \cfrac{x}{2.13}=\cfrac{100}{15}\implies \cfrac{x}{2.13}=\cfrac{20}{3} \\\\\\ 3x=42.6\implies x=\cfrac{42.6}{3}\implies x=14.2[/tex]

Answer:

13 yards

Step-by-step explanation:

1 yard = 3 feet

39 ÷ 3 = 13 yards

The cloth is 13 yards.

Hope this helps!

Answer:

13 yards

Step-by-step explanation:

Answer:

D -2x-6

Step-by-step explanation:

Answer:

p is equal to 130 reason vertical opposite angles

Answer:

h=39

Step-by-step explanation

V = [tex]\pi[/tex]r^(2) h

V = 10,000[tex]\pi[/tex]

radius = diameter / 2

diameter = 32

radius = 32/2

radius = 16

10,000[tex]\pi[/tex]=[tex]\pi[/tex](16)^(2)(h)

Simplify by dividing [tex]\pi[/tex] from both sides and evaluating 16^2

10,000=256h

Simplify again by dividing 256 from both sides to isolate h.

39.06 = h

Round to the nearest whole number:

39 inches.

Answer:

Yes Lana will reach her goal she'll have 10,414.58 by the end of the 6 years,

Step-by-step explanation:

The solution is, surface area of the given circular cone is 126π units².

Option B is the correct option.

The surface area of a cone is equal to the curved surface area plus the area of the base: π r 2 + π L r , \pi r^2 + \pi L r, πr2+πLr,

where r denotes the radius of the base of the cone, and L denotes the slant height of the cone.

here, we have,

Surface area of a cone is given by the expression,

V = πr(r + l)

Here, r = Radius of the circular base

l = Lateral height of the cone

By substituting the given values in the given expression of volume,

here, given that.

r = 6

l = 15

V = π(6)(6 + 15)

  = 126π units²

Therefore, surface area of the given circular cone is 126π units².

Option B is the correct option.

to learn more on surface area of cone click:

brainly.com/question/1984638

#SPJ7

Answer:

In this rectangular prism, opposite sides are equal.

So if we find the 3 different sides, we would need to multiply those individual sides by 2 (because opposite sides are equal/have the same area) and then add them to get the surface area.

One side (the front and back side);

The width is 8 and the height is 7, so (8 x 7) = 56. Though, it's opposite side is the same as well so we multiply 56 by 2, (56 x 2) = 112

Second side (the left and right side);

The width is 18 and the height is 7, so (18 x 7) = 126. Though, it's opposite side is also the same as well, so we multiply 126 by 2, (126 x 2) = 252

Third side (the top and bottom side);

The width is 8 and the height is 18, so (8 x 18) = 144. Though, it's opposite side is also the same as well, so we multiply 144 by 2, (144 x 2) = 288

Now, we add all the areas we've gathered:-

112 + 252 + 288 = 652 square cm

Answer:

your equations would be 3x+1y=86 and x+y=42

the answer would be 22 field goals and 20 extra po

Step-by-step explanation:

Answer:

4x + 175 = 415

Step-by-step explanation:

4 is the hours, so it should be multiplied by x to see how much you get every hour (and a total of 4 hours).

175 is the constant and should be added to the equation so that all fees are included.

415 is the total amount so the equation should equal that number.

Hope this helps!