Answer: choice D) translation 6 units to the right
The black triangle slides over 6 units to the right to line up perfectly with the blue triangle. In other words, every point on triangle A will slide over 6 units to the right to line up with its corresponding point on triangle A'. Both triangles are congruent (same shape and size).
For PART A: the height of the pole in the right angle triangle is 30 ft and the correct option is C
For PART B: the lenght of wire 1 in the right angle triangle is 45 ft and the right option is D
<h3 /><h3>What is a right angle triangle?</h3>
A right-angled triangle is a polygon of three sides having one angle as 90 degrees(right angle).
Part A
To calculate the height of the pole in the right angle triangle, we use the formula below.
Formula:
From the diagram,
Given:
- ∅ = 41°
- Opposite = Height of the pole = P
- Adjacent = 34 ft
Substitute these values into equation 1 and solve for P
- tan41° = P/34
- P = 34×tan41°
- P = 29.55
- P ≈ 30 ft
Part B
Similarly, fine the length of wire 1, we use the formula below.
Formula:
- cos∅ = Adjacent/Hypotenus.......... Equation 2
From the diagram,
Given:
- Hypotenus = Wire 1 = x
- ∅ = 41°
- Adjacent = 34 ft
Substitute these values into equation 2 and solve for x
- cos41° = 34/x
- x = 34/cos41°
- x = 45.05
- x ≈ 45 ft
Hence, the height of the pole is 30 ft and the lenght of wire 1 is 45 ft.
Learn more about right angle triangle here: brainly.com/question/64787
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Answer:
Step-by-step explanation:
<u>Given AP with:</u>
- a₁= 28, aₙ = 79, Sₙ = 963
<u>Use the formula:</u>
- Sₙ = 1/2n(a₁ + aₙ), sum of the first n terms
<u>Substitute given values and solve for n:</u>
- 963 = 1/2n(28 + 79)
- 963 = 1/2n(107)
- 1/2n = 963/107
- 1/2n = 9
- n = 9*2
- n = 18
Replace t with -2 and solve for a number. It should work since it's not a fraction.
Answer:
yes
Step-by-step explanation:
80
