Mathematics, 30.01.2020 03:54 maleikrocks3497

Martene got a small aquarium for her birthday. the aquarium is a right rectangular prism 18.5\,\text{cm}18.5cm18, point, 5, space, c, m long by 15\,\text{cm}15cm15, space, c, m wide. martene put 3885\text{ cm}^33885 cm 3 3885, space, c, m, start superscript, 3, end superscript of water in the aquarium. how deep is the water in the aquarium?

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Answer from: annabanana1298

14 cm.

Step-by-step explanation:

We have been given that Martene got an aquarium in the shape of rectangular prism with sides 18.5 cm long and 15 cm wide. Martene put $3885\text{ cm}^3$ of water in the aquarium. We are asked to find the depth of the water.

We will use volume of rectangular prism formula to solve our given problem.

$\text{Volume of rectangular prism}=l\cdot w\cdot h$ , where,

l = Length of base,

w = Width of base,

h = Height of prism.

Upon substituting our given values in above formula, we will get:

$3885\text{ cm}^3=18.5\text{ cm}\cdot 15\text{ cm}\cdot h$

$3885\text{ cm}^3=277.5\text{ cm}^2\cdot h$

$\frac{3885\text{ cm}^3}{277.5\text{ cm}^2}=\frac{277.5\text{ cm}^2\cdot h}{277.5\text{ cm}^2}$

$\frac{3885\text{ cm}}{277.5}=h$

$14\text{ cm}=h$

Therefore, the depth of the water in the aquarium is 14 cm.

Answer from: Quest

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

Answer from: Quest

First, think of what you know. you know that the number t the end of the equation will need to be subtracted because it is the money he lost from buying the lawn mower. and your first two weeks have negative profit, so that tells you that c and d are wrong. now you can plug any of the weeks into a and b to see which one works. i'll start with plugging week 1 into a. $y = 60(1) - 90 \\ y = 60 - 90 \\ y = - 30$ this isn't right because it says your answer for week one should be -90.so now we need to try the same thing with b. $y = 60(1) - 150 \\ y = 60 - 150 \\ y = - 90$ this one got you the right answer, (sometimes if you only check with one of the weeks multiple will work so you need to check with more of the weeks, but it worked out fine here)this means that b is the correct answer.let me know if you need more clarification. i hope this : )

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Martene got a small aquarium for her birthday. the aquarium is a right rectangular prism 18.5\,\text...

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