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Ksenya-84 [330]
3 years ago
12

Kyle has a aquarium in the shape of a rectangular prism.The aquarium is 24 inches long and 10 inches wide. The volume of the aqu

arium is 2,880 cubic inches. How high is the aquarium?
Mathematics
2 answers:
monitta3 years ago
8 0
The aquarium is 12 inches high. The formula for finding the volume of a rectangular prism is width x height x length. So I multiplied 24 by 10 and came up with 240. Next, I divide the volume 2,880 by 240 and came up with the answer 12. Lastly, I check my answer to ensure that it is right. 24 x 10 x 12 x 2,880. 
jasenka [17]3 years ago
4 0
To calculate to volume of a rectangular prism you use the formula l × w × h = V

l, w, and h are the sides, and V is the volume

So... 24 × 10 × h = 2,880

h = 2,880 / 240

h = 12


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Find VT. <br> Find RS. <br><br> (U is on the perpendicular bisector of Segment RT.) <br> Find UT.
jeyben [28]

Applying the Pythagorean Theorem and the definition of Perpendicular Bisector, the missing measures are:

  • VT = 8
  • RS = 17

<h3>What is a Perpendicular Bisector of a Segment?</h3>
  • A perpendicular bisector is a segment is a segment that divides a segment into two equal halves.
  • Perpendicular bisector forms right angles at the point of intersection of the segment it bisects.

Thus:

VT = RV = 8

VT = 8

Applying Pythagorean Theorem:

VS = √(ST² - VT²)

Substitute

VS = √(17² - 8²)

VS = 15

Find RS using the Pythagorean Theorem:

RS = √(VS² + VR²)

Substitute

RS = √(15² + 8²)

RS = 17

Therefore, applying the Pythagorean Theorem and the definition of Perpendicular Bisector, the missing measures are:

VT = 8

RS = 17

Learn more about perpendicular bisector here:

brainly.com/question/11006922

7 0
2 years ago
Solve for X and Y Please
Bad White [126]

angles across each other at a junction, namely vertical angles, are equal.

so the angles right in the middle, where both triangles intersect, are both equal, that means the triangles have that angle in common as well as the angle x°, meaning both triangles are similar by AA.

if both triangles are similar, that means all their interior angles are the same, meaning y = 75°.

now, let's notice something, those tickmarks, meaning each triangle is an isosceles triangle, which have a vertex angle and twin angles.

since all interior angles in a triangle add up to 180°, so 180 - 75 = 105°, subtracting "y" from the 180°, that leaves 105°, to be split evenly between the twin angles of "x" and the one at the junction.

105/2 = 52.5° = x.

3 0
4 years ago
-3x-5y=-7 <br> Find slope of perpendicular line
Goryan [66]

Answer:

5/3

Step-by-step explanation:

We need to rewrite the equation in slope intercept form

y =mx +b where m is the slope

-3x-5y = 7

Add 3x to each side

-5y = 3x+7

Divide by -5

y = -3/5 x -7/5

The slope of this line is -3/5

Perpendicular lines  have slopes that are negative reciprocals

-1 / (-3/5)

5/3

The slope of the perpendicular line is 5/3

7 0
3 years ago
Do the ratios<br> 2/1<br> and<br> 20/10<br> form a proportion?
Nutka1998 [239]
2/1 THATS 2 (caps my bad) and 20/10 that’s also 2 the proportion is y=2x
8 0
3 years ago
Read 2 more answers
They need to raise $1,680 for travel expenses. Each chocolate bar is being sold for $2, and each box contains 30 chocolate bars.
leonid [27]

Answer:

Each scholar have to sell 4 boxes in order to raise enough money to cover the team's travel expenses

Step-by-step explanation:

Let x denotes number of boxes to be sold by each scholar to raise enough money to cover the team's travel expenses.

Number of scholars = 7

Total number of boxes =7x

Total number of chocolate bars =(7x)(30)=210x

Price of 1 chocolate bar = $2

Price of 210x chocolate bars =210x(2)=\$420x

Also,

Total amount to be raised for travel expenses = $1680

So,

1680=420x\\x=\frac{1680}{420}\\ x=4

Therefore,

each scholar have to sell 4 boxes in order to raise enough money to cover the team's travel expenses

3 0
3 years ago
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