Answer:
A) 150 m
B) 180.28 m
Step-by-step explanation:
A) In order to find the horizontal distance from the base of the cliff to the speed boat, use the Pythagorean theorem to calculate the length of the missing side.
We are told that one of the sides is 80 m and the hypotenuse is 170 m. Therefore,
- a² + b² = c²
- (80)² + b² = (170)²
- b² = 170² - 80²
- b² = 22500
- b = 150
The horizontal distance between the base of the cliff and the boat is 150 m.
B) Now, the side that was 80 m is now 100 m (includes the height that the helicopter is above Jumbo). The horizontal distance remains the same, 150 m, but the hypotenuse is different. Solving for the hypotenuse will give us the distance between the helicopter and the speed boat.
- (100)² + (150)² = c²
- 32500 = c²
- 180.28 = c
The distance between the helicopter and the speed boat is 180.28 m.
Answer:
15
Step-by-step explanation:
the common ratio is 1/2 so you do 30(1/2)
30(1/2)=15
Answer:
803.84
Step-by-step explanation:
the formula for the area of a circle is A = π r2 which is pi times the radius squared.n in this case if the circumference is 8 cm then the radius would be half of the circumference which is 4. then you square 4 which is equal to 256. Then take 256 and multiply it by pi. 256 × 3.14 = 803.84. i hope this helped you.
An infinite amount seeing as you can have infinite of each number
Answer:
(3, 5)
Step-by-step explanation:
y = 2x - 1
3x + 2y = 19
In the second equation, substitute 2x - 1 in for y, since y equals 2x - 1 in the first equation. Solve for x.
3x + 2(2x - 1) = 19
3x + 4x - 2 = 19
7x - 2 = 19
7x - 2 + 2 = 19 + 2
7x = 21
7x/7 = 21/7
x = 3
Pick the first equation to solve for y since it says y =. Substitute 3 in for x.
y = 2x - 1
y = 2(3) - 1
y = 6 - 1
y = 5
