Answer:
1000 mm
Step-by-step explanation:
Because the conversion from meters to centimeters is 1 m = 100 cm
And the conversion from centimeters to millimeters is 1 cm = 10 mm
Add zeros and you get 1000 mm
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a. Based on the AA similarity theorem, Gilligan can conclude that, ΔABC ~ ΔSDC.
b. To the nearest tenth of a foot, the distance from the ship to the shore is: 847.8 ft.
<h3>What are Similar Triangles?</h3>
The ratios of the corresponding sides of two triangles that are similar are equal.
Two triangles with two pairs of congruent angles are similar to each other based on the AA similarity theorem.
a. In ΔABC and ΔSDC, there are two pairs of congruent angles - ∠DCS ≅ ∠BCA (vertical angles) and ∠ABC ≅ ∠SDC (right angles)
Therefore, based on the AA similarity theorem, Gilligan can conclude that, ΔABC ~ ΔSDC.
b. AB = 150 ft
Distance from the ship to the shore = SD = ?
DC = 130 ft
CB = 23 ft
Thus:
AB/SD = CB/DC
Substitute
150/SD = 23/130
SD = (150×130)/23
SD = 847.8
Thus, to the nearest tenth of a foot, the distance from the ship to the shore is: 847.8 ft.
Learn more about similar triangles on:
brainly.com/question/11899908
Answer:
2√3
Step-by-step explanation:
Multiply these binomials in the usual way:
(1 +√3)(3 -√3) = 1(3 -√3) +√3(3 -√3)
= 3 -√3 +3√3 -3 = (3 -3) +√3(-1 +3)
= 2√3
Answer:
if you zoom in a little bit and repost it i can help you
Step-by-step explanation:
8(2+3) hopefully this is right!!