Expression with parenthesis: = 2 ( l + w)
Expression without parenthesis = 2l + 2w
The property we used is known as "Distributive Property"
Let, width = w
Length = w + 70
Perimeter would be: P = 2(w+70+w)
p = 2(2w+70)
p = 4w + 140
Hope this helps!
Answer:
(22.12, 27.48)
Step-by-step explanation:
Given : Significance level : 
Sample size : n= 8 , which is a small sample (n<30), so we use t-test.
Critical values using t-distribution: 
Sample mean : 
Standard deviation : 
The confidence interval for population means is given by :-
i.e. 
Hence, the 95% confidence interval, assuming the times are normally distributed.= (22.12, 27.48)
Answer:
Theta = 59 degrees
Step-by-step explanation:
Here, we want to get the value of the marked angle
To do this, we use the appropriate trigonometric ratio
From what we have,
The side 42 ft is adjacent the angle given
The side facing the right angle is 82 ft
The trigonometric ratio that connects the adjacent and the hypotenuse is cosine. It is the ratio of the adjacent to the hypotenuse
Cos theta = 42/82
theta = cos^-1 0.5122
theta= 59.189
To the nearest degrees, this is 59 degrees
Answer:
8a+1=33
Step-by-step explanation:
you can solve 3a-2=10 by simplifying to 3a=12, so a=4. Then you replace the a in 8a+1 with 4 to get 32+1, which is 33
