Answer:
- <u>0.25</u>
- <u>0.85</u>
Step-by-step explanation:
P (Triangle or Square) :
- Area of Triangle + Area of Square / Area of Rectangle
- 1/2 x 3 x 4 (height is found by Pythagorean Theorem) + (3)² / 10 x 6
- 6 + 9 / 60
- 15/60
- <u>0.25</u>
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P (Not the square) :
- Area of rectangle - Area of square / Area of rectangle
- 60 - 9 / 60
- 51/60
- 17/20
- <u>0.85</u>
Answer:
Rules for Calculating the Slope of Line
Find two points on the line. Count the rise (How many units do you count up or down to get from one point to the next?) Record this number as your numerator. Count the run (How many units do you count left or right to get to the point?)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Grocery Store
12 mi / 3 cm = x / 2.5 cm Cross multiply
12 * 2.5 = 3 * x Multiply
30 = 3x Divide by 3
30/3 = x
x = 10 miles
Library
12 mi / 2 cm = x / 1.5 Cross multiply
12 * 1.5 = 2x
18 = 2x Divide by 2
18/2 = x
9 miles
The library is closer than the grocery store.
9514 1404 393
Answer:
23.2 mi/h at N 7.4° W
Step-by-step explanation:
The velocity vectors of the woman and the ship form the legs of a right triangle. The hypotenuse of that triangle is the vector representing the woman's speed relative to the water.
The magnitude of the resultant velocity can be found using the Pythagorean theorem.
r = √(3² +23²) = √538 ≈ 23.2
The given vectors are adjacent and opposite the angle of interest, so the tangent relation applies.
Tan = Opposite/Adjacent
tan(α) = 3/23
α = arctan(3/23) ≈ 7.4°
The woman's speed relative to the water is about 23.2 mi/h. Her direction is about 7.4° west of north.
