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3 years ago

Find the area of the figure shown in the diagram to the nearest hundredth.

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

8 0

Answer: Choice C) 41.13 square meters

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This figure is a composition of two quarter-circles and a square

Area of quarter circle = (1/4)*(area of circle)
Area of quarter circle = (1/4)*(pi*r^2)
Area of quarter circle = (1/4)*(pi*4^2)
Area of quarter circle = (1/4)*(pi*16)
Area of quarter circle = (1/4)*16*pi
Area of quarter circle = 4pi
There are two quarter circles, so the two circular areas add to 4pi+4pi = 8pi

Area of square = s*s = 4*4 = 16 square meters

Add the square area to the circular area: 8pi+16

Now use a calculator to find 8pi+16 = 41.1327412287183 which rounds to 41.13

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Bad at math... help please ):

zavuch27 [327]

Smallest side XYZ/ Smallest side ABC = Longest side XYZ/ Longest side ABC
Let longest side XYZ be x
280/112 = x/144
x = (280/112)×144
x = 360
Option D will be your answer

Hope it helped!

3 0

3 years ago

A manufacturing company produces 3 different products A, B, and C. Three types of components, i.e., X, Y, and Z, are used in the

Murljashka [212]

Answer:

Step-by-step explanation:

Using the Excel Formula:

Decision Variable Constraint Constraint

A 65 65 100

B 80 80 80

C 90 90 90

14100 300 300

= (150 *B3)+(80*B4) +(65*B5)-(100-B3+80-B4+90-B5)*90

Now, we have:

Suppose A, B, C represent the number of units for production A, B, C which is being manufactured

A B C Unit price

Need of X 2 1 1 $20

Need of Y 2 3 2 $30

Need of Z 2 2 3 $25

Price of

manufac - $200 $240 $220

turing

Now, for manufacturing one unit of A, we require 2 units of X, 2 units of Y, 2 units of Z are required.

Thus, the cost or unit of manufacturing of A is:

$20 (2) + $30(2) + $25(2)

$(40 + 60 + 50)

= $150

Also, the market price of A = $200

So, profit = $200 - $150 = $50/ unit of A

Again;

For manufacturing one unit of B, we require 1 unit of X, 3 units of Y, and 2 units of Z are needed and they are purchased at $20, $30, and 425 each.

So, total cost of manufacturing a unit of B is:

= $20(1) + $30(3) + $25(2)

= $(20 + 90+50)

= $160

And the market price of B = $240

Thus, profit = $240- $160

profit = $80

For manufacturing one unit of C, we have to use 1 unit of X, 2 unit of Y, 3 units of Z are required:

SO, the total cost of manufacturing a unit of C is:

= $20 (1) + $30(2) + $25(3)

= $20 + $60 + $25

= $155

This, the profit = $220 - $155 = $65

However; In manufacturing A units of product A, B unit of product B & C units of product C.

Profit --> 50A + 80B + 65C

This should be provided there is no penalty for under supply of there is under supply penalty for A, B, C is $40

The current demand is:

100 - A

80 - B

90 - C respectively

So, the total penalty

${(100 - A) + (80 - B) +(90 - C) } + \$40$

This should be subtracted from profit.

So, we have to maximize the profit

$Z = 50A + 80B + 65C = {(100 -A) + (80 - B) + (90 - C)};$

Subject to constraints;

we have the total units of X purchased can only be less than or equal to 300 due to supplies capacity

Then;

$2A + B +C \le 300$ due to 2A, B, C units of X are used in manufacturing A, B, C units of products A, B, C respectively.

Next; demand for A, B, C will not exceed 100, 80, 90 units.

Hence;

$A \le 100$

$B \le 80$

$C \le 90$

and $A, B, C \ge 0$ because they are positive quantities

The objective is:

$\mathbf{Z = 50A + 80B + 65 C - (100 - A + 80 - B + 90 - C) * 40}$

A, B, C $\to$ Decision Varaibles;

Constraint are:

$A \le 100 \\ \\ B \le 100 \\ \\ C \le 90 \\ \\2A + B + C \le 300 \\ \\ A,B,C \ge 0$

6 0

3 years ago

a strawberry cake is cut into three pieces. The Arc measures of all three pieces are congruent. What is the measure of angle XYZ

masya89 [10]

Answer:

I think the strawberry cake measure have to be 360⁰. so the arc measure is 360⁰÷3=100

so we have all three arcs congruent b/c all measures 100⁰

I think XYZ=100⁰

4 0

3 years ago

Read 2 more answers

3 1/9+2 1/4= what is the answer

34kurt

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Step-by-step explanation:

3 0

3 years ago

This is the graph of f(x) = lxl.

irina [24]

Answer:

You are clicking on graphs.

However, you should sketch a graph of your function to see what the correct one looks like.

Create a table containing a few values of x and y

I chose x = -4, -2, 0, 2, 4.

Draw your axes

Plot your points

Draw the graph

Your graph should look like the one below.

Step-by-step explanation:

5 0

3 years ago