Answer:
as ratio of two type of fabric is different .
hence, the relationship between the number of square yards and the cost
is not proportional between the two types of fabric
Step-by-step explanation:
For a relation to be proportional
a:b = c:d
in other form
a/b = c/d
______________________________________________
Ratio for first type of fabric
cost of fabric/ area of fabric = 31.25/5 = 6.25
Ratio for other type of fabric
cost of fabric/ area of fabric = 71.50/11 = 6.5
as ratio of two type of fabric is different .
hence, the relationship between the number of square yards and the cost
is not proportional between the two types of fabric
Answer: Angle A = 15.42°, angle B = 147.58°, and side b = 20.17 units.
Step-by-step explanation: Please refer to the attached diagram for details.
A triangle with angles ABC has been sketched from the information given, and we have the missing dimensions as, angles A and B and side b. Since we have an angle with a corresponding side, and another side has been given, we shall apply the Sine Rule which states that;
a/SinA = b/SinB = c/SinC
We can start with the known values as follows
a/SinA = c/SinC
10/SinA = 11/Sin 17
By cross multiplication we now have
(10 x Sin 17)/11 = SinA
(10 x 0.2924)/11 = SinA
2.924/11 = SinA
0.2658 = SinA
By use of calculator or a table of values,
A = 15.42°
Having calculated angle A as 15.42 and having known angle C as 17, angle B can be derived as,
A + B + C = 180° {Sum of angles in a triangle equals 180}
15.42 + B + 17 = 180
32.42 + B = 180
Subtract 32.42 from both sides of the equation
B = 147.58°
And now to calculate the missing side c, we still apply the Sine Rule
b/SinB = c/SinC
b = (c x SinB)/SinC
b = (11 x 0.5361)/0.2924
b = 5.8971/0.2924
b = 20.168
Approximately, b = 20.17
Therefore, the missing angles and side is calculated as
Angle A = 15.42°, angle B = 147.58° and length of side b = 20.17 units
Answer:
Around 3060.
Step-by-step explanation:
The exact answer would be 3059.95
Answer:
<h2>
What are natural numbers?</h2>
<u>the positive integers or whole numbers include 1, 2, 3, and etc. sometimes zero.</u>
<h2>
What are whole numbers?</h2>
<u>Whole numbers are 0, 1, 2, 3, 4, 5, 6</u>. Whole numbers include positive integers along with 0.
17, 99, 267, 8107 and 999999999 are examples of whole numbers.
<h2>What are rational numbers?</h2>
<u>A rational number is a number that can be express as the ratio of two integers.</u> A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333
<h2>
What are irrational numbers?</h2>
<u>A real number that can NOT be made by dividing two integers </u>(an integer has no fractional part). "Irrational" means "no ratio", so it isn't a rational number.
Example: π is an irrational number.
<h2>
What are real numbers?</h2>
<u>The real numbers include all the rational numbers,</u> such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as √2.
Included within the irrationals are the transcendental numbers, such as π
