Answer: 66 sq ft
Step-by-step explanation:
Break up the shape into three separate shapes
8 * 3 = 24 for the rectangle
There are 2 triangles
The formula for the area of a triangle is 1/2(b)(h)
1 of the triangles has a base of 4 and height of 12
1/2(4)(12) = 24
The other triangle has a base of 3 and height of 12
1/2(3)(12) = 18
24 + 24+ 18 = 66
The answer is to 12 x 12 is 1,524
Answer:
Sample mean = 7.1
Margin of error = 0.465
Step-by-step explanation:
Formula for confidence interval is;
CI = x¯ ± zE
Where;
x¯ is sample mean
z is critical value at confidence level
E is margin of error.
z for 99% Cl is 2.58
We are told the CI is 5.9 to 8.3.
Thus;
5.9 = x¯ - 2.58E - - - - (1)
8.3 = x¯ + 2.58E - - - - (2)
Add both equations together to get;
14.2 = 2x¯
x¯ = 14.2/2
x¯ = 7.1
Put 7.1 for x¯ in eq 1 to get;
5.9 = 7.1 - 2.58E
7.1 - 5.9 = 2.58E
E = 1.2/2.58
E = 0.465
Answer:
130°
Step-by-step explanation:
All the interior angles should add up to 540 degrees because it's a pentagon
∠T ≅∠S, so ∠T is also 115°
∠P and ∠R are both 90°
Add everything up and solve for ∠Q:
115 + 115 + 90 + 90 + m∠Q = 540
410 + m∠Q = 540
m∠Q = 130°
You can make four batches of cookies with four eggs left over. 5 goes into 24 four times with a remainder of 4.
