Answer:
inches
Step-by-step explanation:
So to go from 300 to 3700 you have to multiply by
Point-slope form is written as : y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point.
The slope (m) is found by the change in Y over the change in X
Slope = (y2 - y1) / (x2 - x1)
You can use either given point for x1 and y1 so you would calculate the slope and replace m with the slope, then replace x1 and y1 in the equation with their value.
1) What is the slant height x of this square pyramid? Express your answer in radical form
sin 60=x/4--------> x=4*sin 60------> 4*(√3/2)-------> 2 √3 m
the answer Part 1) is 2 √3 m
2) The base of a regular pyramid is a hexagon. What is the area of the base of the pyramid?
[area of the base}=[area of hexagon]
[area of hexagon]=6*[area of triangle]
area of triangle
sin 60=a/14-------> a=(√3/2)*14-------> a=7√3 cm
cos 60=(b/2)/14--------> (b/2)=cos 60*14-----> (1/2)*14---------> (b/2)=7
base of triangle=2*7--------> b=14 cm
[area of triangle]=14*7√3 /2--------> 49√3 cm²
so
[area of hexagon]=6*[49√3]--------> 294√3 cm²
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.
Answer:
<h3>D. P = 15 and Q = 15</h3>
Step-by-step explanation:
Put the values of P and Q to the equation Px - 45 = Qx + 75:
15x - 45 = 15x + 75 <em>subtract 15x from both sides</em>
-45 = 75 FALSE
In other cases, we get some value x.
Example:
A. P = -45 and Q = -75
-45x - 45 = -75x + 75 <em>add 45 to both sides</em>
-45x = -75x + 120 <em>add 75x to both sides</em>
25x = 120 <em>divide both sides by 25</em>
x = 4.8
