To check it we can use Pythagorean theorem.
, where c is the longest side.
Lets check it
Assume that a=10 and b= 24
Now lets compare with c^2=676
Its equal, so its right triangle.
Answer:
37.7
Step-by-step explanation:
The formula is C = 2 • 3.14 • r , you multiply the radius by pi/3.14, then you multiply that by product by 2.
The Pythagorean identity is based from the three trigonometric identities that apply to the Pythagorean theorem. The three identities are founded on the concept that the hypotenuse is equal to the sum of the squares of the two sides of the right triangle. The identities can be determined through the substitution of sine and cosine in the right triangles measurements.
Answer:
- x+y≤80; x≥8; y≥5
- see attached for a graph
- Twenty campers are doing water-based activities and 40 campers are doing ground-based activities.
Step-by-step explanation:
1. Let x and y represent the numbers of campers doing water- and ground-based activities, respectively.
x + y ≤ 80 . . . . . . a maximum of 80 campers can be accommodated
x ≥ 8 . . . . . . . . . . a minimum of 8 campers should be water-based
y ≥ 5 . . . . . . . . . . a minimum of 5 campers should be ground-based
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2. See the attachment for a graph. Possible outcomes are shaded red. The boundary lines of the shaded area are included in the possible outcomes.
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3. Twenty campers are doing water-based activities and 40 campers are doing ground-based activities.
Question 2:
The answer is 21
The two angles are vertically opposite, which makes them equal and also means we can make an equation:
4x - 4 = 3x + 17
- 3x
x - 4 = 14
+ 4
x = 21
Question 3:
The answer is 23
Again, the angles are vertically opposite, so we can make them equal each other:
5x - 53 = 3x - 7
- 3x
2x - 53 = -7
+ 53
2x = 46
÷ 2
x = 23
I hope this helps!