30 ft = 5mi
X mi = 45.5mi. (Cross multiply)
5x= 45.5•30
5x= 1365
X= 1365/5
X= 273
Map: 273 ft
Answer:
m = 20°, n = 35°
Step-by-step explanation:
First, find n. We know that the base angles of an isosceles triangle are equal and that angles in a triangle add up to 180°. This means that:
- 110 + n + n = 180° - now simplify:
- 110 + 2n = 180° - subtract 110 from both sides:
- 2n = 180 - 110 - simplify again:
- 2n = 70° - divide both sides by 2:
- n = 35°
Now we know n, we can find m. The whole diagram is a triangle with angles of 90°, 35° (n) and the final angle can be split into m + n (m + 35°). This means that 125° + m + 35 = 180° (125 came from doing 90 + 35):
- 125 + m + 35 = 180° - now simplify:
- 160 + m = 180° - subtract 160 from both sides
- m = 180 - 160 - simplify
- m = 20°
Hope this helps!
Answer: where are the graphs
Step-by-step explanation:
Answer:
m∠LNK = 86.8°
Step-by-step explanation:
∵ LH ⊥ KN at H
∵ LK = MN
∵ LM = 3
∴ HN = (13 - 3) ÷ 2 + 3 = 8 ⇒ isosceles trapezium
∵ LN = 89
∴ LH = √(89² - 8²) = 88.64
∵ KH = (13 - 3) ÷ 2 = 5 ⇒ isosceles trapezium
∵ tan ∠LKN = LH/KH = 88.64/5
∴ m∠LKN = 86.77° ≅ 86.8°
Answer:
P(x) = 2x² + 74x + 644
Step-by-step explanation:
The first number is x + 23.
The second number is:
2(x + 23) − 18
2x + 46 − 18
2x + 28
The product is:
P(x) = (x + 23) (2x + 28)
P(x) = 2x² + 28x + 46x + 644
P(x) = 2x² + 74x + 644
