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jonny [76]
3 years ago
12

The width of a picnic table is 3 times its length. If the length is 5/6 yd long, what is the area of the picnic table in square

feet?
Mathematics
2 answers:
Greeley [361]3 years ago
8 0

Answer:

6 1/4 sq ft

Step-by-step explanation:

x = length = 5/6

y = width = 3x

so y = 3(5/6) or 15/6

A = length · width

A = 5/6 · 15.6 or 25/12 which is 6 1/4

VARVARA [1.3K]3 years ago
5 0

Step-by-step explanation:

Breadth

=5/6

Length

=15/6

Area of rectangle = l x b

=5/6 x 15/6

=75/6

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A ship at position (1, 0) on a nautical chart (with north in the positive y direction) sights a rock at position (7, 5). What an
Romashka-Z-Leto [24]

Answer:

0.69473828 radians east of north.

Step-by-step explanation:

Interpreting the information given on a Cartesian plane, the position of the ship will be (1,0) and that of the rock will be (7,5). Connecting the point (1,0) and (7,5) with a line and dropping a perpendicular line from point (7,5) to the x-axis to intersect the x-axis at (7,0), will form a right-triangle with base length 6 units and a height of 5 units.

<u>Finding the base length from points (1,0) and (7,0)</u>

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(7-1)²

d= √6²

d=6 units

<u>Finding the height from points (7,5) and (7,0)</u>

d=√(x₂-x₁)²+(y₂-y₁)²

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d=√-5²

d=√25

d=5 units

So you now have a right triangle with base length 6 units and height 5 units.

To get the bearing of rock from ship position you apply the formula for tangent of an angle

Tan Ф = length of opposite side/length of adjustment side

TanФ=5/6

Tan Ф =0.83333333333

Tan⁻¹ (0.83333333333) =0.69473828 radians east of north.

3 0
3 years ago
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