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Harman [31]
3 years ago
8

Savana walks 3 1/3 miles to the local park. On her way home, she stops at Randolph’s house after 1 2/3 miles to pick up a book.

Mathematics
2 answers:
iren [92.7K]3 years ago
7 0
1 5/6 is your answer
goldfiish [28.3K]3 years ago
4 0

Answer:

1 5/6 miles

Step-by-step explanation:

3 1/2 - 1 2/3 convert to improper fractions.

7/2 - 5/3 = 21/6 - 10/6 (common denominator)

21/6 - 10/6 = 11/6

11/6 as a proper fraction is 1 5/6

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Answer:

The answer to your question is C. The x-coordinate should be 3/4

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3 years ago
The bearing of two points x and y from z are 45° and 135° respectively . if |zx|=8cm and |zy|=6cm, find |xy|.
marysya [2.9K]

Answer:

|{\sf XY}| = 10\; {\rm cm}.

Step-by-step explanation:

Refer to the diagram attached. The dashed segment attached to \!{\sf Z} points to the north. Rotating this segment clockwise with point {\sf Z}\!\! as the fixed center of rotation would eventually align this segment with the one between point \!\!{\sf Z} and point \!\!{\sf X}. The bearing of point {\sf X} from point {\sf Z} is the size of the angle between these two line segments when measured in the clockwise direction.

Subtract the bearing of {\sf Y} from {\sf Z} from the bearing of {\sf X} from {\sf Z} to find the measure of the angle \angle {\sf YZX}:

\begin{aligned}\angle {\sf YZX} &= 135^{\circ} - 45^{\circ} \\ &= 90^{\circ}\end{aligned}.

Thus, triangle \triangle {\sf YZX} is a right triangle (90^{\circ}) with segment {\sf YX} as the hypotenuse. It is given that |{\sf XZ}| = 6\; {\rm cm} whereas |{\sf ZY}| = 6\; {\rm cm}. Thus, by Pythagorean's Theorem:

\begin{aligned}|{\sf ZY}| &= \sqrt{|{\sf ZX}|^{2} + |{\sf ZY}|^{2}} \\ &= \sqrt{(8\; {\rm cm})^{2} + (6\; {\rm cm})^{2}} \\ &= 10\; {\rm cm}\end{aligned}.

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2 years ago
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