The length of the diagonal of a cube can be calculated by the formula
![\begin{gathered} d=a\sqrt[]{3} \\ \text{where a is one side of the cube} \\ a=60 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20d%3Da%5Csqrt%5B%5D%7B3%7D%20%5C%5C%20%5Ctext%7Bwhere%20a%20is%20one%20side%20of%20the%20cube%7D%20%5C%5C%20a%3D60%20%5Cend%7Bgathered%7D)
Hence,
Answer:
Width = 14 inches
Length = 42 inches
Step-by-step explanation:
Length = 3 x width Width = 1/3 x length
First, construct a equation first using one of my formula on the top:
Length = 3 x width
2y + 6 = 3 ( y - 4 ) Distribute 3 to the values inside the ( )
2y + 6 = 3y - 12 Subtract 2y on both sides so there is only one
variable on one side
6 = y -12 Add 12 on both sides
18 = y
Width = ( y - 4 ) in <u><em>OR </em></u> 18 - 4 or 14 inches
Length = ( 2y + 6 ) in <em><u>OR </u></em> 36 + 6 = 42 inches
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Hope this helps!!!
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Please mark this as brainliest!!!
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Thank You!!!
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B. 47 degrees
Explanation:
They already cut 43 degrees and they want to cut until a right angle is form which is 90 degrees. To find how much more they have to cut, do 90-43 which gives you 47.
Estimate tree height: 50 ft
First, you'd have to get the hypotenuse of the smaller triangle to get the base of the bigger triangle. This can easily be done using Pythagorean theorem (15^2 + 5^2 = hyp^2). The hyp of smaller triangle/base of bigger triangle is 15.81 ft. Then you'd also want to get the angle adjacent to the 5 ft leg, and opposite the 15 ft leg of the smaller triangle to get one of the two remaining angles of the bigger triangle. This can be done via sohcahtoa, using the TOA part. The inverse tangent of opposite/adj leg will give you the angle you're looking for (71.6 deg). With that, you'll know that the remaining angle is 18.4 deg (sum of all angles is 180). You can solve for the height of the tree/hypotenuse of the bigger triangle by using SOH. Sine of 18.4 is equal to 15.81/hypotenuse. Solving for that will give you around 50 ft.
Answer:
83
Step-by-step explanation:
a = 25
The biggest angle is (3a+8) = 83