Boubacar has a deck that measures 3 feet by 14 feet. He wants to increase each
dimension by equal lengths so that its area is tripled. By how much should he
increase each dimension?

Answer:

206.17

Key(s):

[tex]A = 2\pi \frac{d}{2} h + 2\pi \left(\frac{d}{2}\right)^2[/tex]

Substitute d for the actual diameter, 7.5, and h for the height, which is 5.

Step-by-step explanation:

[tex]A = 2\cdot\pi \cdot\frac{7.5}{2} \cdot5 + 2\cdot\pi \cdot\left(\frac{7.5}{2}\right)^2[/tex] ≈ 206.17(2 DP)

Answer:

x = 5 and y = 22

Step-by-step explanation:

See attached image.

Explanation:

Provided 2 length sides and one angle also need to find one missing side.

So, use cosine rule:

a² = b² + c² - 2bc cos(A)

c² = 9² + 11² - 2(11)(9) cos(57)

c² = 94.16147

c = √94.16147 = 9.70 cm

d² = 5² + 7² - 2(5)(7) cos(48)

d² = 27.16

d = √27.16 = 5.21

5² = 7² + 9² - 2(7)(9) cos(H)

-126cos(H) = 25 - 49 - 81

cos(H) = -105/-126

cos(H) = 5/6

H = cos⁻¹(5/6) = 33.56°

8² = 4² + 7² - 2(4)(7) cos(J)

-56cos(J) = 64 - 16 - 49

cos(J) = -1/-56

J = cos⁻¹(1/56) = 88.98°

Passcode: 3142

Answer:

No

Step-by-step explanation:

NO...... any two sides added together must be GREATER THAN the third side .... 2 + 8 is NOT greater than 19

Answer:

it would end up being about $40.73

Step-by-step explanation:

multiply 0.078 by 3 then multiply that by 33

Answer:

hope you can understand

Answer:

10/3 or 3.333333

Step-by-step explanation:

-   4 x 5/6 is 3 1/3

-   3 1/3 is a mixed number

- 3 1/3 reduced is 10/3

Answer:

The graph will open to the right and will be mostly in quadrant 1

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

[tex]3(5 + 1) \\ 3(5) + 3(1) \\ 15 + 3 \\ 18[/tex]

The distributive property means you distribute the multiple to all terms in the parenthesis, in this case the terms are 5 and 1.

The error Kevin made was in step 2 when he added before he multiplied.

This question would be solved using the BODMAS rule. The BODMAS rule provides the order in which mathematical problems should be solved. The order is:

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Answer:

325, 390, 416

Step-by-step explanation:

So, to find one gallon, we can do 130/10=13. So, we can multiply 13 by the other numbers. 25x13=325, 30x13=390, and 32x13=416.

Answer:

what ya need man I can help but give me a question

Answer:

The diameter is 12.

Explain: i used this formula C= Dπ  or C= 2rπ  

(37.68) = Dπ Divide by 3.14, as the instructions in this question specify to do so.

37.68/3.14 = D π/ 3.14

D = 12  The diameter equals twelve.

Hope This Helped

4,7,3,2

Step-by-step explanation:

THESE ARE THE THE ARRANGEMENT OF NUMBERS IN ORDER TO GET THE CLOSEST TO 5000

The true statement is (c) Neither. Both events are equally likely.

The probability of Sandy flipping a coin twice and getting heads both times is 0.25. The probability of John's spinner stopping on the color red is 1/4.

Which of these events is more likely?

-Sandy flips a coin twice and gets heads both times.

-John's spinner stops on the color red.

-Neither. Both events are equally likely.

The given parameters are:

P(Head twice) = 0.25

P(Red) = 1/4

Rewrite P(Red) as:

P(Red) = 0.25

By comparison, we have:

P(Red) = P(Head twice) = 0.25

This means that both events are equally likely

Hence, the true statement is (c)

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Answer:

Step-by-step explanation:

1) Parallelepiped

We need to find its surface area minus the area of the base and the base of the cylinder above.

2 (9) (2.4) = 43.2

2 (5) (2.4) = 24

4pi = Area of the base of the cylinder

45 - 4pi = Area of the base of the parallelepiped minus covered region.

Surface needed = 112.2 - 4pi

2) Cylinder

We need to find its surface area minus the area of the base.

2 (pi) (2) (3) = 12pi

pi (4) = 4pi

Surface needed = 16pi

Total surafec needed:  (112.2 - 4pi) + 16pi = 112.2 + 12pi

(This is solved in 'pi' terms)

If this helped, I'd like to have a brainliest. Have a nice day!!

An equation is formed when two equal expressions are equated together with the help of an equal sign '='. The graph of the equation x+2y=7, between the domain of -2 to 3 can be drawn as shown below.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The graph of the equation x+2y=7, between the domain of -2 to 3 can be drawn as shown below.

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Answer:

x³ - ((x+1)(x+1))

Step-by-step explanation:

x³ + 2x -3 - x² - 2x + 4

x³ - x² + 1

x³ - ((x+1)(x+1))

Answer:

x^3−x^2+4x−7

Step-by-step explanation:

Hope this helps! Have a great day!!

Answer: A = π r2

r=8 and 8 squared is 64 and 64×3.14=200.96 or rounded to the nearest whole number it would be 201

Step-by-step explanation: brainliest please?

Answer: Analytic geometry

Answer:

130 m²

Step-by-step explanation:

Area of a parallelogram is given by the formula :

A = bh (b is the base length and h is the perpendicular height)

Now we simply substitute values given in diagram to find our answer:

A = bh

A = (13)(10)

A = 130

Units will be m² as this is area

Hope this helped and have a good day

The solution to the equation x² – 4x + 4 = 2x + 1 + x² is x = 2.5 and the graph is shown in the picture.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have an equation:

x² – 4x + 4 = 2x + 1 + x²

After solving:

-4x + 4 = 2x + 1

6x = 3

x = 1/2 = 0.5

Thus, the solution to the equation x² – 4x + 4 = 2x + 1 + x² is x = 2.5 and the graph is shown in the picture.

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a) TI = 7√3 in

b) IR = 7 in

Using cosine rule:

[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]\hookrightarrow \sf cos(30) = \dfrac{TI}{14}[/tex]

[tex]\hookrightarrow \sf TI = 14cos(30)[/tex]

[tex]\hookrightarrow \sf TI = 7\sqrt{3}[/tex]

Using sine rule:

[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]

[tex]\hookrightarrow \sf sin(30) = \dfrac{IR}{14}[/tex]

[tex]\hookrightarrow \sf IR = 14sin(30)[/tex]

[tex]\hookrightarrow \sf IR = 7[/tex]

Answer:

5

Step-by-step explanation:

The distance between two points [tex]P[/tex] and [tex]Q[/tex] is  [tex]d = \sqrt{\sum_{i=1}^{n} \left(q_{i} - p_{i}\right)^{2}}[/tex] ([tex]n[/tex] s the number of coordinates of each of the two points, [tex]p_i[/tex] , [tex]i=1..n[/tex] and [tex]q_i,i=1..n[/tex]

are the coordinates of the first and the second points respectively).

Thus, [tex]d = \sqrt{\left(2 - 5\right)^{2} + \left(-3 - 1\right)^{2}}=5.[/tex]

The Slope of lines parallel to line is 1/2 and the Slope of lines perpendicular  to line is -2.

An equation that can be written in the form of y = mx+c

where m is the slope of the line

and c is the intercept on y axis

The equation given in the question is

y=1/2x−7

in this the slope = 1/2

Intercept = -7

For parallel Lines

For a parallel line , the slope of the line is same

and is given by  m = 1/2

For a perpendicular line

Slope will be equal to

-1/m

here -1/m = -2

Therefore the slope for perpendicular line is -2.

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Tables are created by substitute a set of input values into the function to create outputs. The required table is as shown below

x | y

0   -3

1   -2.5

2   -2

Tables are created by substitute a set of input values into the function to create outputs

Using x = 0, 1 and 2 as the input values

Given the function

y = 1/2x - 3

If x = 0

y = 1/2(0) - 3

y = -3

If x = 1

y = 1/2(1) - 3

y = -2.5

If x = 2

y = 1/2(2) - 3

y = -2

Hence the required table is as shown below

x | y

0   -3

1   -2.5

2   -2

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Answer:

(-1,4)

Step-by-step explanation:

For x     the midpoint between   -2 and 0    is -1

for y the midpoint between -1 and 9 is  4

Answer:

(-1,4)

Step-by-step explanation:

Midpoint can be found by:

(x1+x2)/2 ; (y1+y2)/2

So, if we substitute, we can find:

(-2+0)/2 ; (-1+9)/2

This gives us -2/2 and 8/2, which is:

(-1, 4)

Hope this helps!

Answer:

10m

Step-by-step explanation:

5x2=10 and it's in meters so ya