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:8(3x-2)
Step-by-step explanation: 8 times 3d=24X 8 times -2=-16
The missing number is 20
<h3>How to determine the number</h3>
We can see that the values at the top must be made equal to that at the bottom
For the top, we have
30 + 11 = 41
For the bottom, we should have:
21 + x = 41
Now, let's solve for 'x' to determine the missing figure;
21 + x = 41
collect like terms
x = 41 - 21
x = 20
Thus, the missing number is 20
Learn more parallel lines here:
brainly.com/question/13999767
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Answer: triangle 1, triangle 2, and triangle 3
Step-by-step explanation:
Triangles 1 and 3 are congruent by SAS. So, by CPCTC, all three sides are congruent, making triangle 2 congruent to them as well by SSS.
So prime numbers are numbers which cant be divided by any number other than one and these are <span>2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, </span>61<span>, </span>67<span>, </span>71,73<span>, </span>79<span>, </span><span>83
83+2 is 85
so the product is the two numbers multiplied together which is 166</span>
