Answer:
The dimensions of the bar are width = 4.68099 feet and length = 10.06198 feet
Step-by-step explanation:
A chocolate bar has a rectangular shape, therefore it's area is given by the following formula:
area = width*length
In this case the length is 0.7 feet longer than twice the width, therefore:
length = 2*width + 0.7
Applying the second equation on the first one and using the data from the question we have:
47.1 = width*(2*width + 0.7)
47.1 = 2*width² + 0.7*width
2*width² + 0.7*width = 47.1
width² + 0.35*width = 23.55
width = 
width = 4.68099 or width = -5.03099
Since the width can't be negative, it can only be 4.68099 feet.
length = 2*4.68099 + 0.7 = 10.06198 feet.
Answer:
47.25 ft³
Step-by-step explanation:
The volume of the prism is given by the formula ...
V = Bh . . . . . . . B is the area of the base, h is the height.
The height of the prism is given as 6 ft. The area of the base is the area of the triangular entrance. The formula for that area is ...
A = 1/2bh . . . . . . b is the base, h is the height
Using the given values for the entrance base and height, we get ...
A = 1/2(4.5 ft)(3.5 ft) = 7.875 ft²
Then the volume of the tent is ...
V = (7.875 ft²)(6 ft) = 47.25 ft³
The tent volume is 47.25 cubic feet.
The answer is for the value of y-coordinate is -5
Answer:
The last one decreasing on the interval (-infinity, 0) where it becomes constant
Step-by-step explanation:
The <em><u>correct answer</u></em> is:
7.8 × 10⁷
Explanation:
To write a number in scientific notation, we want the decimal behind the first non-zero digit in the number. The first non-zero digit in 78 is 7; this means we want 7.8. In order to have the decimal point behind the 7, we need to move the decimal 7 places. This is the exponent of 10 in our scientific notation, which gives us
7.8 × 10⁷
