Answer:<em> 35ft</em>
Step-by-step explanation:
<em>The area for a rectangle or square is Width times Length (W*L)</em>
<em>So we can take our given measurements and multiply them</em>
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2 1/24
Rewriting our equation with parts separated
2/3+1+3/8
Solving the fraction parts
2/3+3/8=?
Find the LCD of 2/3 and 3/8 and rewrite to solve with the equivalent fractions.
LCD = 24
16/24+9/24=25/24
Simplifying the fraction part, 25/24,
25/24=1 1/24
Combining the whole and fraction parts
1+1+1/24=2 1/24
Answer:
y = √-1040/7
Step-by-step explanation:
The equation of a unit circle is expressed as;
x²+y² = 1
Given the coordinate of P = (-33/7, y)
Substitute the coordinate into the give expression and find y;
(-33/7)²+y² = 1
Expand
y² = 1-(-33/7)²
According to difference of two square
y² = (1+(-33/7))1-(-33/7))
y² = (1-33/7)(1+33/7)
y² = -26/7(40/7)
y² = -1040/49
y= √-1040/49
y = √-1040/√49
y = √-1040/7
Hence the value of y is y = √-1040/7
Answer:
The lengths of the sides can be 10, 30 and 31. This would be a scalene triangle.
Step-by-step explanation:
In order to determine if it can create a triangle, we simple need to make sure that the value of one side is not greater than the other two added together. In this case, 10+30 > 31, which means it can be a triangle.
A triangle with no matching sides is called a scalene triangle. Therefore, we know it is a scalene triangle.
Answer:
106.1 ft/s
Step-by-step explanation:
You know the diagonal of a square is √2 times the length of one side, so the distance from 3rd to 1st is 90√2 feet ≈ 127.2792 ft.
The speed is the ratio of distance to time:
speed = distance/time = 127.2972 ft/(1.2 s) ≈ 106.1 ft/s.
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In case you have never figured or seen the computation of the diagonal of a square (the hypotenuse of an isosceles right triangle), consider the square with side lengths 1. The diagonal will cut the square into halves that are isosceles right triangles with leg lengths 1. Then the Pythagorean theorem can be used to find the diagonal length d:
d² = 1² + 1²
d² = 2
d = √2
Since this is the diagonal for a side length of 1, any other side length will serve as a scale factor for this value. A square with a side length of 90 ft will have a diagonal measuring 90√2 ft.
