D: none of the above
just in case, the answer is 26 miles, and you need to use the Pythagorean theorem
Answer:
4.0 meters, ∠C = 39°, ∠A = 51°
Step-by-step explanation:
Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the <em>Pythagorean Theorem</em> to solve for the height of the chain:
Now, we can use the <em>Law of Cosines</em> to figure out one of the acute angles:
∠C = 39°
And since we know that all angles in a triangle add up to 180°:
∠A + ∠B + ∠C = 180
∠A + 90 + 39 = 180
∠A = 180 - 90 - 39
∠A = 51°
However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!
Answer:
131.04
Step-by-step explanation:
0.7×180=126
1.04×126=131.04
Answer:
1. b > -2
2. x <= 3
Step-by-step explanation:
Question 1:
-2(b + 5) < -6
Divide both sides by -2. Remember to change the inequality sign.
b + 5 > 3
Subtract 5 from both sides.
b > -2
Question 2:
-(x - 10) >= 7
Divide both sides by -1. Remember to change the inequality sign.
x - 10 <= -7
Add 10 to both sides.
x <= 3
Given: In the given figure, there are two equilateral triangles having side 50 yards each and two sectors of radius (r) = 50 yards each with the sector angle θ = 120°
To Find: The length of the park's boundary to the nearest yard.
Calculation:
The length of the park's boundary (P) = 2× side of equilateral triangle + 2 × length of the arc
or, (P) = 2× 50 yards + 2× (2πr) ( θ ÷360°)
or, (P) = 2× 50 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 209.33 yards
or, (P) = 309.33 yards ≈309 yards
Hence, the option D:309 yards is the correct option.
