Answer:
48:1
Step-by-step explanation:
In this case we know the actual size and the size in the drawing therefore we can calculate its scale.
What we must do is divide the actual size by the size in the drawing. We know the actual size is 480 inches and in the drawing the size is 10 inches, so:
480/10 = 48
Which means that the relationship between the real and the drawing is 48:1
Answer:
65.5 m
Step-by-step explanation:
Step 1. Find the width of the rectangle.
The formula for the area of a rectangle is
A = lw
Data:
A = 265.5 m²
l = 18 m
Calculation:
265.5 = 18w
w = 265.5/18 = 14.75 m
Step 2. Calculate the perimeter
The perimeter (P) of a rectangle is the sum of the lengths of its sides.
P = 2(l + w) = 2(18 + 14.75) = 2 × 32.75 = 65.5 m
The perimeter of the rectangle is 65.5 m.
Answer:
90 mph
Step-by-step explanation:
Against wind DATA:
distance = 600 miles ; time = 5 hrs. ; rate = 600/5 = 120 mph
With wind DATA:
distance = 600 miles ; time = 2 hrs ; rate = 600/2 = 300 mph
Equations:
p + w = 300
p - w = 120
2p = 420
p = 210 mph (speed of the plane in still air)
Since p+w = 300, w = 300-210 = 90 mph (speed of the wind)
Remember how the tangent function is defined as

Now where exactly are the vertical assymptotes? Well, where cosx = 0, because anything over 0 is undefined, and where a value is undefined, you are required to draw a vertical assymptote.
Now where exactly are the x interecepts? Well, where sinx = 0, because remember, an x-intercept is where y = 0, or where it crosses the x-axis, meaning where the tangent function is equal to 0.
So the x-intercepts are at where sinx = 0.
Answer:
C
Step-by-step explanation:
Angle CAD and angle BAD are congruent.
10x - 7 = 3x+ 7
10x - 3x = 7 + 7
7x = 14
(7x)/7 = 14/7
x = 2
Plug in x as 2.
10(2) - 7
20 - 7
= 13