180 m
Step-by-step explanation:
Information given:
- length of Mrs. Flores' garden= 20 m
- width of Mrs. Flores' garden = 15 m
- Scale factor = 3
Since scale factor is 3, to get measurements of sides Mr. Sosa's garden, sides of Mrs. Flores's have to be multiplied by 3. Hence,
- length of Mr. Sosa's garden= 3×20= 60 m
- width of Mr. Sosa's garden= 3×15= 45 m
Diagonal of a rectangle = √length²+width²
Let Diagonal = D,
D= √60²+45²
=√3600+2025
=√5625
=75 m
If Mr. Sosa cut his garden diagonally,
perimeter= length+width+diagonal
=60+45+75=180 m
So basically right down the graph coordinates for each one for example H is (-4,-1) and just write the opposite for it so H' is (4,1) does that makes sense?
Answer: 11.9
Step-by-step explanation:
The opposite is across from the 35 degree angle and the ajacent is the side valued at 17.
Answer: the probability that a randomly selected tire will have a life of exactly 47,500 miles is 0.067
Step-by-step explanation:
Since the life expectancy of a particular brand of tire is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life expectancy of the brand of tire in miles.
µ = mean
σ = standard deviation
From the information given,
µ = 40000 miles
σ = 5000 miles
The probability that a randomly selected tire will have a life of exactly 47,500 miles
P(x = 47500)
For x = 47500,
z = (40000 - 47500)/5000 = - 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.067
