janet and her friends go on a hike. They hike 7 miles east,then 3 miles south to find the waterfall. How far are they from their
2 answers:
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Answer:
7.2 metres
Step-by-step explanation:
For this problem, it's best to <u>draw a diagram to help you visualize</u>. See below for a diagram. I used H for hummingbird; T for tree, F for flower. We are looking for "t", the blue side.
Label sides using the opposite angle's letter, but use its lowercase.
Since this is a right triangle and we know two of the three sides, use the <u>Pythagorean Theorem</u>. The general formula is:
a² + b² = c²
"c" means the hypotenuse, or the longest side. "a" and "b" are the other non-hypotenuse sides, called 'legs'.
In this problem, our legs are f = 6 and h = 4. The hypotenuse is "t".
<u>Write the formula and solve for "t"</u>.
h² + f² = t² Substitute the values f = 6 and h = 4
4² + 6² = t² Square the numbers
16 + 36 = t² Add
52 = t² Put the variable on the left side as standard format
t = √52 Square root both sides
t ≈ 7.2 Rounded answer
Remember to add in the units.
t = 7.2 m
Therefore, the hummingbird will need to fly 7.2 metres to get from its nest to the flower.
Answer:
Step-by-step explanation:
Given
Required
Determine B
When a point is translated up, the result is:
Where h is the unit translated
y' is the new point and y is the previous;
So, we have
When a point is translated left, the result is:
Where h is the unit translated
x' is the new point and x is the previous;
So, we have
Hence, the coordinates of B is