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:
the correct answer is A
Step-by-step explanation:
2. Graph C
3. Graph A
4.Graph D
5. Graph B
Answer:
Option A
Triangles ABC and TUV
Step-by-step explanation:
Given three triangles ABC , FGH and TUV
For triangles ABC and FGH, given that
DF =AB
DH = AC
and angle F = angle A
This cannot be taken as SAS congruence because the angle F is not included between the equal sides. Two triangles can be congruent by SAS only if two sides and included angle are congruent.
For triangles ABC and TUV we have AB=TU, AC = TV and
included angles between these sides are equal.
So these two triangles are congruent
We write corresponding sides only in order Hence ABC = TUV
and Not VTU =ABC
So option A is true.
Answer:
40+10=50
40+-15=25
40+-30=10
40+-40=0
40+-50=-10
20+-25=-5
Step-by-step explanation:
in this order
