Answer:
6 1/2 cubic feet
Step-by-step explanation:
A carton has a length of 2 1/6 feet
The width is 1 1/5 feet
The height is 2 1/2 feet
Therefore the volume of the carton can be calculated as follows
= length × width × height
= 2 1/6 × 1 1/5 × 2 1/2
= 13/6 × 6/5 × 5/2
= 390/60
= 13/2
= 6 1/2 cubic feet
Hence the volume of the carton is 6 1/2 cubic feet
Answer: C
Step-by-step explanation:
We know the scale factor is 6/2=3.
A) False. The ratio of the side lengths, not the areas, is 1 to 3.
B) False. Rectangle B is larger than Rectangle A.
C) The square of the ratio of the side lengths is the ratio of the areas.
D) False. The ratio of the side lengths, not the areas, is 1 to 3.
The sin A is equal to 12/13 and the tan (A) is equal to 12/5.
<h3>RIGHT TRIANGLE</h3>
A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.
The Pythagorean Theorem says:
. And the main trigonometric ratios are:

The question gives cos (A)=5/13. If cos (A) is represented by the quotient between the adjacent leg and the hypotenuse, you have:
adjacent leg=5
hypotenuse=13
Therefore, you can find the opposite leg of A from Pythagorean Theorem, see below.

Thus, the opposite leg is equal to 12. Now, you can find sin (A) since:

Finally, you can find the tan (A) since:

Learn more about trigonometric ratios here:
brainly.com/question/11967894
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Answer:
Step-by-step explanation:
The volume of a cube is s*s*s or s^3 where s = the length of a side (2 in this case).
V = s^3
V = 2^3
V = 2*2*2
V = 8 cu in or 8 in^3
Answer:
$32.89
Step-by-step explanation:
Starting Value: $87.50
After Gas: $87.50 - $36.19 = $51.31
After Chips: $51.31 - $5.87 = $45.44
After Happy Meal: $45.44 - $12.55 = $32.89
Therefore, Dan has $32.89 left