Joey walked 0.5 miles he usually walked 0.7 miles the difference is 0.2 miles
We have a proportion: 60/?= 20/100
Cross multiply:
20*?= 60*100
⇒ ?= 60*100/20= 300
60 minutes is 20% of 300 minutes~
Answer:
5/√3 inches long.
Step-by-step explanation:
The property is that the lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3. Thus if you know that the side opposite the 60 degree angle measures 5 inches then then this is √3 times as long as the side opposite the 30 degree so the side opposite the 30 degree angle is 5/√3 inches long.
Answer:
W: (-4,5) W' -> (5,4)
X: (-1,4) X' -> (4,1)
Y: (-6,1) Y' -> (1,6)
Z: (-8,3) Z' -> (3,8)
Step-by-step explanation:
Let me give you a quick brief of how to master rotations!!
You need to understand the formula and positioning rules
The formulas shall be given by teachers or looked up!
*** BUT THE SHAPE POSITIONING RULES MATTER!!
-If the shape was in quadrant 2 which is where it is right now then a 90 degree turn clockwise would result in the shape being on quadrant 1, 180 quad 4, 270: quad 3, and 360 would be the original quad which is 2.
The formula for clockwise for this one is that you need to flip the (x,y) to (y,x)
The shape should be on quadrant 1 which is the one on the top right of the coordinate plane!
They want you to graph it by W'X'Y'Z
The ' is prime which is the new position/coordinate
W: (-4,5) W' -> (5,4)
X: (-1,4) X' -> (4,1)
Y: (-6,1) Y' -> (1,6)
Z: (-8,3) Z' -> (3,8)
That is the rotation 90 degrees clockwise coordinates!!
***REMEMBER EACH ROTATION RULE HAS A DIFFERENT FORMULA!!**
Counterclockwise is pretty similar but the opposite direction with different rules!
**POSITION OF THE SHAPE IS THE MOST IMPORTANT!!!**
Answer:
Surface area of the square based pyramid is 134.4in²
Step-by-step explanation:
Surface area of the square based pyramid is expressed as:
S = a²+2a√a²/4 + h²
a is the base edge
h is the slant height of the pyramid
Given a = 7in, h = 5in
S = 7²+2(7)√7²/4+5²
S = 49+ 14√49/4+25
S= 49+ 14√149/4
S = 49+14√37.25
S = 49+14(6.1)
S = 49+85.4
S = 134.4in²
