Which equation represents a proportional relationship that has a constant of proportionality equal to –10?
1 answer:
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The volume of the fourth box is of 410.1 cubic inches.
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The volume of a rectangular prism is given by the <u>base area multiplied by the height,</u> that is:
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- For the first three boxes, the height is constant at 9 inches.
- At the base, the <u>edge length is multiplied by 1.5</u> each time, as
, thus, for the fourth box, the edge length, in inches, will be of
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- Square base, of<u> length 6.75 inches</u>, thus:
- Height of <u>9 inches</u>, thus
and:
The volume of the fourth gift box will be of 410.1 cubic inches.
A similar problem is given at brainly.com/question/23756783
The length of the bridge is 12.12 feet.
The length the dog swam is 32.36 feet.
The situation forms a right angle triangle.
<h3>What is a right angle triangle?</h3>A right angle triangle has one of its angles as 90 degrees. Therefore, the sides and angle can be found using trigonometric ratios.
The length of the bridge is the opposite side of the triangle and the length the dog swim is the hypotenuse side of the triangle.
Therefore,
Let's find the length of the bridge as follows:
tan 68° = opposite / adjacent
tan 68° = 30 / l
cross multiply
l = 30 / tan 68
l = 12.1212121212
length of the bridge = 12.12 ft
The length the dog swim is as follows:
sin 68°= opposite / hypotenuse
sin 68° = 30 / h
h = 30 / sin 68
h = 32.3561767942
The distance the dog swimmed = 32.36 ft
learn more on right triangle here: brainly.com/question/22734914
