Answer:
a) d = 36 ft. ( using Pithagoras´theorem )
b) d = 36 ft ( Using ( function sin ) trigonometry
Step-by-step explanation:
a) Using Pythagoras´Theorem:
Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.
d² = a² + b²
In this particular case a = b = 25 feet then
d² = (25)² + ( 25)²
d = √ 2 * (25)²
d = √2 * 25
d = 1,414*25
d = 35,35
d = 36 ft.
b) Using trigonometry:
We know that sin 45° = cos 45° = √2 / 2
In a right triangle
sin α = opposite side / hypothenuse (d)
sin 45° = √2 / 2 = 25/ d
√2 *d = 2* 25
d = 50/√2
d = 50 / 1,414
d = 35,36
d = 36 ft
Answer:
90 degree
Step-by-step explanation:
We start with SWV as right angle and isosceles can be found to find W
SWV = 90 so we know as isosceles they all are 90 degree met with 45 degree at line of intersections.
We see a right angle at point S on SWT and make a right angle triangle at SWT, to find T angle equal to S=90 W=45 T=45
So SWT = SRT = SRW = TRV
The middle points with R in them are all 90 at point R
The others are 90 at point S on TSW (SWT) and on all outside perimeters for the larger triangles.
There would be 3 and 1/2 pounds left.
2/3 x 2 = 4/6
5/6
5/6 + 4/6 = 6/6 (1) and 3/6 (1/2)
Answer:
No, because 32 is not a whole number power of -2. (The answer would be 'yes' for -32, but not for +32).
Step-by-step explanation:
Answer and Step-by-step explanation:
This is the correct matching:
1. Coefficient: The number in front of a variable in a term.
2. Constant: A number; a term containing no variables.
3. Arithmetic sequence: A set of numbers where the difference is the same between any two consecutive terms.
4. Closed circle: A circle filled in to show that the point is a part of the solution set.
5. Algebraic expression: An expression involving one or more variable terms.
6. Common ratio: The ratio of a term to the previous term in a geometric sequence.
7. Common difference: The difference between any two consecutive terms of an arithmetic sequence.