Given:
Triangle EFG and EHG are two right triangles.
To find:
The values of x and y.
Solution:
In triangle EFG,
[Angle sum property]
In triangle EHG,
[Angle sum property]
Therefore, the value of x is 25 and the value of y is also 25.
Answer:
The height of the building: g
Distance from the building to the base of the ladder: 57
The length of the ladder: m
Angle the ladder makes with the building: k
Angle the ladder makes with the ground: 55
Step-by-step explanation:
Based off the location of the variables and numbers, the descriptions match where they are.
Hope that helps!
Answer:
The lower confidence limit of 99% confidence interval for the mean breaking strength of the briefcases produced today would be equal to 331.09 pounds.
Step-by-step explanation:
Lower limit of confidence interval = mean - Error margin (E)
mean = 341.0 pounds
sd = 21.5 pounds
n = 35
degree of freedom = n - 1 = 35 - 1 = 34
confidence level = 99%
t-value corresponding to 34 degrees of freedom and 99% confidence level is 2.728
E = t × sd/√n = 2.728 × 21.5/√35 = 9.91 pounds
Lower limit = 341.0 - 9.91 = 331.09 pounds
Answer:
5/18
Step-by-step explanation:
Let's say the original packaging was 1 lb of packaging for $1.
The cost was $1/lb.
Then the weight went down by 10% and the price went up by 15%.
Now 0.9 lb of packaging cost $1.15.
The new unit cost is $1.15/(0.9 lb)
The difference is
$1.15/(0.9 lb) - $1/lb =
= $1.15/(0.9 lb) - $0.9/(0.9 lb)
= $0.25/(0.9 lb)
=$25/(90 lb) = $5/(18 lb)
The price went up by 5/18.
