The circular area surrounding the design is an existing rock bed are 24.5, 21, 27, 91 and 91 ft sq.
<h3>What is a parallelogram?</h3>
That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
It is given the bases of the trapezoids are 6 ft and 8 ft,
The heights of the trapezoid and the parallelogram are 3.5 ft each, and the horizontal distances between the left and right vertices of each rhombus is 2 ft.
Trapezoid
Area = 1/2(3.5)(6 + 8)
Area = 24.5
Parallelogram
Area = 1/2(3.5)(6)
Area = 21
Rhombus
Area = 1/2(7)(2)
Area = 7
Red Area
Area = 2(21) + 2(2.4)
Area = 91
White Area
Area = 2(21) + 2(2.4)
Area = 91
Learn more about area here:
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Step-by-step explanation:
Mathematicians seek and use patterns[8][9] to formulate new conjectures; they resolve the truth or falsity of such by mathematical proof. When mathematical structures are good models of real phenomena, mathematical reasoning can be used to provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity from as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.
Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements.[10] Since the pioneering work of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that has continued to the present day.[11]
Mathematics is essential in many fields, including natural science, engineering, medicine, finance, and the social sciences.
Answer:
30 strawberry cupcakes
Step-by-step explanation:
180 cupcakes in total
1/3 of 180 - 60 = vanilla
1/10 of 180- 18 = lemon
2/5 of 180 - 72 = chocolate
rest of 180 - 180-(72+18+60) = strawberry
rest of 180 - 180-150 = 30 = strawberry
Add all of them:
60 vanilla
18 lemon
72 chocolate
30 strawberry
---------------------------
180 cupcakes
Hope this helps!
The sum of 3.0478 and 4.92 is
, which have 5 significant digits.
<u>Step-by-step explanation:</u>
We have ,
and
. The significant digits of a number are digits that includes all digits except:
- All leading zeros. For example, "013" has two significant figures: 1 and 3;
- Trailing zeros when they are merely placeholders to indicate the scale of the number and ,
- Spurious digits introduced, for example, by calculations carried out to greater precision than that of the original data, or measurements reported to a greater precision than the equipment supports.
Here
and with significant digit rules
. Now, Sum of both numbers = 
⇒Sum of both numbers = 
⇒Sum of both numbers = 
∴ The sum of 3.0478 and 4.92 is
, which have 5 significant digits.
Answer:
B) Observing how probability works with real items
Step-by-step explanation:
Just took the quiz :)