Answer:
triangle 4.
Step-by-step explanation:
A translation only moves vertically or (and) horizontally our image.
This means that a translation does not change the size
A translation does not rotate the image.
Then a translation of triangle 1 needs to have the same size than triangle 1, and the same "direction" (in triangle 1 we can see that the hypotenuse is at the right side, then in the translated triangle we also should have the hypotenuse at the right side).
Then the only option that seems correct is triangle 4
Answer: 111.4m
Explanation:
1) Trigonometric ratios
You only need to use tangent ratio.
tangent ratio = opposite-leg / adjacent-leg = balloon height / horizontal distance
2) First, find the height of the ballon when he is watching at an angle of elevation of 28°
tangent ratio = opposite-leg / adjacent-leg = balloon height / horizontal distance
tan(28°) = balloon height/65m ⇒balloon height = tan(28°)×65m
balloon height = 34.56m
3) Second, find the height of the balloon,when he is watching at an angle of elevation of 66°
tan(66°) = height of the balloon / 65m ⇒ height of the balloon = tan(66°)×65m
height of the balloon = 145.99m
4) Vertical distance the balloon ascended while Charlie watched.
Subtract the final initial height from the final height:
145.99m - 34.56m = 111.43m
4) Round to the nearest tenth: 111.4 m
3/4 - 1/3 =
9/12 - 4/12 =
5/12 <=== there is 5/12 more fruit salad then 3 bean salad
$48.31/23=$2.10. $2.10x18=$37.81
There are two other fine ways to write 11/5 .
Ten of those fifths make 2 wholes, so 11/5 can be written as<u> 2 and 1/5</u> .
Or you could do the division that the fraction shows.
Divide 11 by 5, and find the other way to write it . . . . . <u>2.2</u> .
