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svet-max [94.6K]
1 year ago
14

I need help with question 2

Mathematics
1 answer:
Volgvan1 year ago
7 0

2. Area of the entire figure = 14f + 20 units².

Perimeter of the entire figure = 6f + 18 units².

3. D. 8.

4. 11/15

<h3>How to Find the Perimeter and Area of a Rectangle?</h3>

Perimeter = 2(length + width)

Area = (length)(width).

2. Decompose the shape into two rectangles, rectangle 1 and rectangle 2.

Length of rectangle 1 = f

Width of rectangle 1 = 4

Area of rectangle 1 = (f)(4) = 4f units²

Length of rectangle 2 = 2f + 4

Width of rectangle 2 = 5

Area of rectangle 2 = (2f + 4)(5) = 10f + 20 units²

Area of the entire figure = 4f + 10f + 20

Area of the entire figure = 14f + 20 units².

Perimeter of the entire figure = 2f + 4 + 5 + f + 4 + f + 2f + 5

Add like terms

Perimeter of the entire figure = 6f + 18 units².

3. A factor of 44 is any number that can divide 44 without a remainder. 8 is not a factor of 44 because it cannot divide 44 without a remainder. So, the answer is: D. 8.

4. 33/45 = (3 × 11) / (3 × 15)

= 11/15

Learn more about perimeter and area on:

brainly.com/question/19819849

#SPJ1

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Answer:

Answers are below

Step-by-step explanation:

The lead executive's statement says that because the company uses online ads, the revenues have more than doubled. This can be seen on the graph because the Online ad revenue increases while the Printed ad revenue decreases.

The approximate year that the two ad revenues were equal is halfway through the 7th year or at year 7.5

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3 years ago
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Irina18 [472]
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3 0
3 years ago
It takes 1 1/2 cups of flour, 1 1/4 cups of sugar, and 1/2 cup of butter to bake fifteen shortbread cookies. If Ramon has 5 cups
Stolb23 [73]
Short answer 48 cookies
Remark

This is an extremely valuable question if you are going to take chemistry at some point. You have to calculate all three to see what the limiting ingredient is.

Flour
Assuming that all of the flour will be used, you set up a proportion to find out how many cookies will be produced.

1.5 cups of flour / 15 cookies = 5 cups of flour / x     Cross multiply
1.5 x  = 15 * 5
1.5 x = 75                       Divide by 1.5
x = 75/1.5
x = 50                             cookies are possible

Sugar
Now you must do the same thing with the sugar
1.25 pounds sugar/15 cookies = 4 / x      Cross multiply
1.25 x = 4 * 15
1.25 x = 60                         Divide both sides by 1.25
x = 60/1.25                     
x = 48               cookies possible with 4 pounds of sugar.

Butter
0.5 pounds of butter/15 cookies = 1.75 pounds of butter /x   Cross Multiply
0.5 * x = 15 * 1.75
0.5 * x = 26.25       Divide by 0.5
x = 26.25 / 0.5
x = 52.5                  Cookies.

Conclusion
The limiting ingredient is the sugar. You can only make 48 cookies with that amount of sugar. 

So you will have left over flower. You will have left over butter (even if you round down). But you will use all your sugar. It is the least amount.
7 0
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A cylindrical 2014-t6 aluminum alloy bar is subjected to compression-tension stress cycling along its axis; results of these tes
Pani-rosa [81]

Complete part of Question:

Assume a factor of safety of 3.0

The Maximum stress versus logarithm of the number of cycles to fatigue failure curve for 2014-T6 Aluminium bar is attached to this solution

Answer:

The maximum allowable load amplitude is 6403.33 N

Step-by-step explanation:

diameter of the bar, d = 12 mm

d = 0.012 m

Cross sectional area of the bar, A = πd²/4

A = π*0.012²/4

A = 0.000113 m²

From the Maximum stress versus logarithm of the number of cycles to fatigue failure for 2014-T6 Aluminium bar attached to this solution;

At 10⁷ cycles, Maximum stress, S = 170 MPa

S = 170 * 10⁶ Pa

Factor of safety, N = 3.0

The tensile stress is given by the formula:

\sigma = S/N\\\sigma = \frac{170 * 10^{6} }{3} \\\sigma = 56.67 * 10^{6} N/m^{2}

The tensile stress is also given by:

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F/0.000113 = 56.67 * 10⁶

F = 56.67 * 10⁶ * 0.000113

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3 0
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Leno4ka [110]

The given equation is,

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Hence,

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Put different values for x and find value of y.

When x=0, y=1.

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The graph is,

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