Answer:
1) No, the sum isn't equal to 180
2) Yes, the sum is equal to 180
3) No, the sum isn't equal to 180
4) Yes, the sides follow the triangle inequality
5) Yes, the sides follow the triangle inequality
6) Yes, it's an equilateral triangle
Answer: 4. 432 cm^2/2 = 216 cm^2
6. 309.76 mm^2
8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2
484/2 = 242pi or 759.88 in^2.
10. 297.84 in^2/2 = 148.92 in^2
Step-by-step explanation:
To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.
A square is equal on all sides, so you would just square the measurement of the one side.
To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).
It is too blurry I cant see anything can you just ask the question instead of taking a picture
With this problem, we have two right triangles meaning we will end up using the Pythagorean Theorem. For the sake of the problem, let's say the boat is at point D. The two triangles we have are ΔACD and ΔABD. Let's first go through and define the lines.
Let's start with ΔACD:
Port A is 24 miles from Port C so AC = 24mi. We will represent this as line a
Port C is 25 miles from Boat D so CD (the hypotenuse) = 25mi. We will represent this as line c
We do not know the distance between Port A and Boat D (AD also known as line b) so let's calculate that since we will need it at the end.
We can calculate line b's length using the theorem: a² + b² = c²
a = 24mi
b = ?
c = 25mi
So
(24)² + b² = (25)²
576 + b² = 625
Subtract 576 from both sides to isolate b²
576 + b² - 576 = 625 - 576
b² = 49
Now take the square root of both sides
√b² = √49
b = 7 miles.
Now we know that the distance between Port A and Boat D is 7 miles.
Now let's move on to ΔABD
Port B is 15 miles from Port A so AB = 15mi. We will represent this as line a
Boat D is 7 miles from Port A so AD = 7mi. This will still be line b
We do not know the distance between Port B and Boat D (BD also known as line c).
Time to use the Pythagorean Theorem once more!
a² + b² = c²
15² + 7² = c²
225 + 49 = c²
274 = c²
Take the square root of both sides
√274 = √c²
c ≈ 16.6mi when we round to the nearest tenth
So the distance between Port B and the boat is 16.6 miles
Answer:
1.2×10^3
Step-by-step explanation:
so there it is
