Answer:
B
Step-by-step explanation:
Dilations are the only transformations in which the shape is changed.
Answer: Down 2, right 3
Step-by-step explanation:
<span>
<u><em>The correct answer is: </em></u>1000.
<u><em>Explanation</em></u><span>
<u><em>: </em></u>We divide to find the answer to this: </span></span>
![\frac{10000}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B10000%7D%7B10%7D%20)
<span><span>. When we are dividing by 10, we can move the decimal to the left one place; doing this gives us 1000.</span></span>
The distance from the kayak to the mountain to the nearest whole number is 43 meters.
The situation will form a right angle triangle as shown below in the diagram.
<h3>Properties of a right angle triangle:</h3>
- One of its angle is 90 degrees.
- The sides and angle can be found by using trigonometric ratios.
The height(opposite side) of the triangle is the kayak distance from the mountain to the lake below. The distance from the kayak to the mountain is the adjacent side of the triangle.
Therefore, using trigonometric ratios,
tan 35 = opposite / adjacent
tan 35° = 30 / a
a = 30 / tan 35°
a = 30 / 0.70020753821
a = 42.8444402023
a = 42.84 meters
a ≈ 43 meters
learn more on the angle of depression: brainly.com/question/13969247?referrer=searchResults
<span>There are 4 kings out of 52 cards.
So P(king) = 4/52 = 1/13
Odds against getting a king are 1 - P(king) = 1 - 1/13 = 12/13
hope this helps!</span>