Answer:
For A I'd say about 100° and for B about 150° (This is just my estimation)
Step-by-step explanation:
A is almost a right angle but a little more than 90°.
B is almost a straight/flat angle but it's less than 180°.
Answer:
No, with the guides in between the two ladders, it is not possible for the lower ends of the ladder to be up to 12 feet apart
Step-by-step explanation:
The given parameters are;
The length of two sides of the step ladder = 12 feet
The maximum value allowable for the included angle between the two 12 feet ladders = 58°
Therefore, the maximum value of the third side facing the included angle is given as follows;
let "a" represent the maximum value of the third side formed by the distance apart of the lower end of the ladder, by cosine rule, we have;
a² = 12² + 12² - 2 × 12 × 12 × cos(58°) = 135.383251901
∴ a = √(12² + 12² - 2 × 12 × 12 × cos(58°)) ≈ 11.64
The maximum value of the third side formed by the distance apart of the lower end of the ladder = a ≈ 11.64 feet < 12 feet
Therefore, it is not possible for the lower ends of the ladder to be up to 12 feet apart.
Answer:
Step-by-step explanation:
Given
--- Height
--- Width
---- Length
Solving (a): The lateral surface area (L)
This is calculated as:
This gives:
Solving (b): The total surface area (T)
This is calculated as:
This gives:
2160 inches into 12 pieces.
12 pieces = 2160 inches.
1 piece = 2160 / 12 = 180 inches.
But 12 inches = 1 foot, 3 feet = 1yard
3*12 = 36 inches = 1yard.
36 inches = 1yard.
180 inches = 180/36 = 5 yards.
Each piece was 5 yards long.
72.3 - 39.1 = 4 tens - 7 ones - 2 tens is the correct order after rewriting.
Given the formula 72.3 + (-39.1)
removing the parentheses:
= 72.3 + (-39.1) (-39.1)
= 72.3 - 39.1
converting decimal numbers to place values
72.3 = 7tens plus 2units plus 3tenths
72.3 = 7(10) (10)
+2(1)+3(1/10)
72.3 =70+2+0.3
Similarly, 39.1
39.1 = 3tens plus 9units plus 1tenth
39.1 = 3(10)+9(1)+1(1/10)
39.1 =30+9+0.1
72.3 - 39.1 = 70+2+0.3 - (30+9+0.1)
72.3 - 39.1 = 70+2+0.3 - 30-9-0.1
72.3 - 39.1 = 70-30+2-9+0.3-0.1
72.3 - 39.1 = 40 - 7 +0.2
Hence after rewriting we get 72.3 - 39.1 = 4 tens - 7 ones - 2 tens
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