Answer:
In right triangle hypotenus(side facing angle 90)is the longest
Step-by-step explanation:
lets say hyp=side1 +side2 were(side1=side2 in isocseles..) and Let x bet the length of side 1
So by applying phythegoras theorem :
hyp^2=x^2+x^2
16^2 =2x^2
2x^2=256
x^2=128

x=

Parameter=16+8


Answer:
It will take him about 13 houses to sell the 5 candy bars.
Pat has an 18% chance of selling his last candy in the 11th house.
Step-by-step explanation:
Since Pat is required to sell candy bars to raise money for the 6th grade field trip, and there is a 40% chance of him selling a candy bar at each house, and he has to sell 5 candy bars in all, to determine the number of houses it takes and determine the probability he sells his last candy bar at the 11th house, the following calculations must be performed:
5 / 0.40 = X
12.5 = X
So, it will take him about 13 houses to sell the 5 candy bars.
5/11 = X
0.45 = X
0.45 x 0.4 = 0.18
Thus, Pat has an 18% chance of selling his last candy in the 11th house.
Answer:
First since 2 of the options ask for the width of BM lets solve for it using the Pythagorean theorem for both sides of point L:
a² + b² = c²
30² + b² = 50²
b² = 50² - 30²
b² = 1600
b = 40 Line BL = 40 ft
Since the ladder is 50 feet it is the same length on the other side as well
a² + b² = c²
40² + b² = 50²
b² = 50² - 40²
b² = 900
b = 30 line LM is 30 ft
SO line lm + line bl = 30 + 40 = 70 ft
A is true because ^
B isn't true because as we solved for earlier, BL is 40
C is true because line LM is in fact 30 ft as we solved for
D is not true because as we said earlier BM is 70
E is true because the same ladder was used on both sides of the street
Step-by-step explanation:
So basically what you have to do is first identify all of the sides or angles that equal eachother then you can see if you did a side side and side in a row etc, like 44 would be SAS because the vertical angles would be inbetween the two sides. 46 would be SSS because after you make the line in the middle for reflexive property you can see that there are three sides in a row. If this didnt help i recommend looking on Khan Academy
Answer:
a) 5:3
b) 7.5:5.3
Step-by-step explanation:
150min : 90min (1 and a half hour)
10 : 6
5 : 3
150 × 10 mm : 1060 mm
1500 : 1060
750 : 530
7.5 : 5.3