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blagie [28]
3 years ago
11

ZABD and ZDBC are supplementary angles.

Mathematics
1 answer:
adell [148]3 years ago
4 0

x=54°

Answer:

x+126=180 supplementary

x=180-126

x=54

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A rectangular storage container without a lid is to have a volume of 10 m3. the length of its base is twice the width. material
Valentin [98]

The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

<h3>How to determine the function?</h3>

We have a rectangular storage container without a lid.

  • Volume, V = 10 m³
  • Length, l = 2w
  • Width, w = w
  • Base costs $15/m²
  • Sides costs $9/m²

The formula of volume of the box is

V = l × w × h

Where

  • l = length
  • w = width
  • h = height

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

Learn more about function of area here:

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3 0
1 year ago
Hall travels 99 miles per hour for 6 hours. Find the distance traveled, in miles
Luden [163]

Answer:

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Step-by-step explanation:thjkkmnb

6 0
3 years ago
The discount price of a hat is $18.00 what is the regular price?
noname [10]
You gotta put more information out buddy
5 0
3 years ago
Last year Andrea's annual salary was A dollars and she was paid biweekly. This year she received a
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Biweekly salary last year algebraically will be S = (27)A.  Semimonthly salary this year algebraically will be S = ( A + R )6.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Last year, Andrea's annual salary was A dollar and she was paid biweekly. This year she received a raise of R dollars per year. She is now paid semimonthly.

Biweekly salary last year algebraically will be:-

S = (27)A.

Semimonthly salary this year algebraically will be:-

S = ( A + R )6.

Therefore, the biweekly salary last year algebraically will be S = (27)A.  Semimonthly salary this year algebraically will be S = ( A + R )6.

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7 0
2 years ago
Rachel can buy licorice sticks for $0.75 and cherry candies for $0.50 and has a budget of $25 if her expenses are represented by
likoan [24]
You can buy 50 of the cherry candies with all of the 25$ because you do 25 divided by 0.50 and get 50 and then if you would like to check that do 50 x 0.50 and you will still get 25$
6 0
3 years ago
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