Answer:
1.67
Step-by-step explanation:
To do this you need to use the equation:
Scale factor = image/preimage
image would be EFGH
Preimage would be the E'F'G'H'
SF= 11/6.6
SF=1.66666667
Simplify that
SF=1.67
There's your scale factor!
Type of dilation would be reduction.
If you ever need more help, don't be afraid to reach out! I hope this helps!
The relationship of the angles to the sides opposite those angles is always:
30°=1, 60°=√3, and 90°=2
So the longer leg can be found using the ratios from above...
L/S=√3/1 and we are told that the shorter side is 5 in so
L/5=√3
L=5√3
So A. is the correct answer.
Answer:
135 degrees
Step-by-step explanation:
2π radians is the central angle of a full circle, so 2π radians is 360 degrees.
That means that π radians = 180 degrees.
3π/4 radians * (180 degrees)/(π radians) = 135 degrees
Answer:
He should buy 189.47 feets.
Step-by-step explanation:
Since there's a hypotenuse this triangle is rectangular and since it's an isosceles triangle we know that both cathetus are equal. We were given the area of this triangle, wich is 4500 square feet, the equation to compute this area is A = b*h/2, since the cathetus are equal b = h and we can solve for either of this variables. So we have:
A = b*b/2
4500 = b*b/2
b*b= 9000
b = sqrt(9000) = 94.87 feet
Since the hypotenuse of this triangle already has a fence we only need to buy the fencing for the cathetus, wich should be two times b, since there are two cathetus. So the amount of fence is 2*b = 2*94.87 = 189.74 feets.
Answer:
50 % increase
Step-by-step explanation:
To find the percent increase, we take the new price and subtract the original price. Divide it by the original price
percent increase = (new - original)/ original * 100%
= (90-60)/60 * 100%
= 30/60 *100%
=.5 *100%
=50%
