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dimaraw [331]
3 years ago
5

Help me who here is a master at math I need your help !!

Mathematics
1 answer:
lara31 [8.8K]3 years ago
4 0

Answer:

88.4ft²

Step-by-step explanation:

oh lordy, why, why, nobody's garden is actually like this, and even if it was, you don't need to know the area, hold onto your hats:

So, we're going to assume that we can split the 10.4 evenly into the triangles and the trapezoid, so let's start with that:

10.4 ÷ 2 = 5.2 (if this is what get the whole thing wrong, I'm so sorry)

So, now we're going to do the triangle to the left of the trapezoid (remember that the formula for a triangle is base x height ÷ 2):

6 x 5.2 ÷ 2 = 15.6

So the area is 15.6ft

Now let's do the triangles under the trapezoid:

So the entire length of the under thing is 18 feet, and we take off 6 from the previous triangle, so:

18 - 6 = 12

and we're going to assume that both the triangles are equal:

12 ÷ 2 = 6

6 x 5.2 = 15.6 (at this point I realize that all the triangles are equal, welp, we just did that for nothing, anyways) now we need two of them

15.6 x 2 = 31.2

So the area of the triangles under the trapezoid is 31.2ft

Now, the trapezoid:

so we know that the top base is 4 feet, and we know that the bottom one is 12 from the triangles above us, (the formula for a trapezoid is (base + base)height ÷ 2) so:

4 + 12 = 16

16 x 5.2 = 83.2

83.2 ÷ 2 = 41.6

So the trapezoid is 41.6ft

Now we add all of our disgustingness together:

15.6 + 31.2 + 41.6 = 88.4

So, the area of the entire garden is 88.4ft²

hope this helps:)

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–4b + 8c + 12 – 8b – 2c + 6
sertanlavr [38]

Answer:

-24

Step-by-step explanation:

-4-8= -12

8-2=6

12+6=18

-12b+6c+18

Greatest common factor = 6

-12/6=-2

6/6=1

18/6=3

D 6(-2b+1c+3)

-12(2)+6(-3)+18

-24+(-18)+18

-42+18= -24

-24

7 0
3 years ago
Read 2 more answers
A regression equation is obtained for a collection of paired data. It is found that the total variation is 20.711 , the explaine
galben [10]

Answer:

0.898

Step-by-step explanation:

The formula for the Coefficient of determination = ratio of explained variation to Total variation

From the above question, we have the following values

Explained variation = 18.592

Total variation = 20.711

The coefficient of determination = 18.592 : 20.711

= 18.592/20.711

= 0.8976872194

Approximately ≈ 0.898

Therefore, the coefficient of determination is 0.898

8 0
3 years ago
Use a calculator to find the standard deviation of this data set:
Rashid [163]

Answer:

3.5

Hope this helps!

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3 years ago
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9. What is the volume of this cube? (2 pts.) Show your work here.​
denpristay [2]

Answer:

Volume = 27 cubic units

Step-by-step explanation:

First, the formula of volume is l x h x w.

Second, the l, h, and w, are all 3, so to get your answer you do 3 x 3 x 3 which equals 27.

Hope this helps!

6 0
3 years ago
A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 1584 cubic feet
liq [111]

Answer:

The room dimensions that will minimize the cost of the paint are 12 ft x 12 ft x 11 ft.

Step-by-step explanation:

We can find first the volume equation using the formula of the volume of a box.

V= xyz

Thus we get the constraint function

1584 = xyz

Then since we are asked to minimize the cost, we can write the cost function which is the area of each one of the walls and ceiling multiplied by the painting cost.

C=0.11 xy+ 2(0.06)xz+2(0.06yz \\ C =0.11 xy+0.12xz+0.12yz

Lagrange Multipliers to find minimum cost.

We can continue finding the partial derivatives to build the system of equations required for Lagrange Multipliers method.

C_x=\lambda V_x \\ C_y = \lambda V_y \\ C_z = \lambda V_z

And the constraint function

xyz=1584

So we get

0.11y+0.12z=\lambda yz \\ 0.11x+0.12z=\lambda xz \\ 0.12x+0.12y=\lambda xy\\ xyz=1584

We can multiply each side of each equation by the dimension which is missing to get the full volume on the right side.

0.11xy+0.12xz=\lambda xyz \\ 0.11xy+0.12yz=\lambda xyz \\ 0.12xz+0.12yz=\lambda xyz

Then we can set each the equations equal to each other, so from the first one and the second equation we get

0.11xy+0.12xz= 0.11xy+0.12yz

We can subtract 0.11xy from both sides.

0.12xz=0.12yz

And we can divide both sides by 0.12z to get

x=y

We can repeat the process by setting the first and third equation equal to each other.

0.11xy+0.12xz= 0.12xz+0.12yz

We can subtract 0.12 xz from both sides

0.11xy=0.12yz

And we can solve by z

z= \cfrac{0.11x}{0.12}\\ z = \cfrac{11x}{12}

So if we replace that as well y = x on the constraint for the volume euqation we get

1584=x(x)\left(\cfrac{11}{12}x\right) \\ 1584=\cfrac{11}{12}x^3

We can then solve for x

x^3 = \cfrac{1584(12)}{11}

And taking the cube root

x = \sqrt[3]{\cfrac{1584(12)}{11}}

x = \sqrt[3]{1728}

x=12 ft

So then we can use the equations we have found for y and z in terms of x

y = x \\ y = 12 ft

And

z= \cfrac{11x}{12}\\z= \cfrac{11(12)}{12} \\ z=11ft

Then the dimensions of the room that will minimize the cost are 12ft x 12 ft x 11 ft. Since you have to enter using commas you can write 12, 12, 11, please check as well if you have to insert the units that are feet for each.

5 0
3 years ago
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