1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
puteri [66]
4 years ago
15

An aquarium has a base in the shape of a trapezoid. The base is 100

Mathematics
1 answer:
Nat2105 [25]4 years ago
4 0

Answer:

Volume = 210L

Step-by-step explanation:

Given

Base:

Front = 100cm

Back = 50cm

Width = 40cm

Height = 70cm

Required

Determine the volume (in litres)

First, we need to calculate the area;

Base on the parameters given, we have:

Area = \frac{1}{2}(Front + Back) * Width

Area = \frac{1}{2}(100cm + 50cm) * 40cm

Area = \frac{1}{2}(150cm) * 40cm

Area = 75cm * 40cm

Area = 3000cm^2

Volume = Area * Height

Volume = 3000cm^2 * 70cm

Volume = 210000cm^3

1cm^3 = 0.001L

So:

Volume = 210000 * 0.001L

Volume = 210L

You might be interested in
For the parallelogram ABCD the extensions of the angle bisectors AG and BH intersect at point P. Find the area of the parallelog
natita [175]

Answer:

The area of a parallelogram is 360 in.²

Step-by-step explanation:

Where DG = GH

GP = 12 in.

AB = 39 in.

∠DAB + ∠ABC = 180° (Adjacent angles of a parallelogram)

Whereby ∠DAB is bisected by AG and ∠ABC is bisected by BH

Therefore, ∠GAB + ∠HBA = 90°

Hence, ∠BPA = 90° (Sum of interior angles of a triangle)

cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{AP}{39} = \dfrac{GP}{GH} =\dfrac{12}{GH}

We note that ∠AGD = ∠GAB (Alternate angles of parallel lines)

∴ ∠AGD = ∠AGD since ∠AGD = ∠GAB (Bisected angle)

Hence AD = DG (Side length of isosceles triangle)

The bisector of ∠ADG is parallel to BH and will bisect AG at point Q

Hence ΔDAQ  ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP

Hence, AP = 3 × GP = 3 × 12 = 36

cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{36}{39}

\angle GAB = cos^{-1} \left (\dfrac{36}{39}  \right )

∠GAB = 22.62°

cos(\angle GAB) =  \dfrac{36}{39} = \dfrac{12}{GH}

GH =  \dfrac{39}{36} \times {12}

GH = 13 in.

∴ AD 13 in.

BP = 39 × sin(22.62°) = 15 in.

GH = √(GP² + HP²)

∠DAB = 2 × 22.62° = 45.24°

The height of the parallelogram = AD × sin(∠DAB) =  13 × sin(45.24°)

The height of the parallelogram = 120/13 =  9.23 in.

The area of a parallelogram = Base × Height = (120/13) × 39 = 360 in.²

7 0
3 years ago
Read 2 more answers
Select the graph for the solution of the open sentence. Click until the correct graph appears. 2|x| + 1 < 5
Vedmedyk [2.9K]

Answer:

1st Answer

Step-by-step explanation:

6 0
3 years ago
How long will it take for an investment to triple if it is compounded continuously at 12%
myrzilka [38]

Answer:

9.694 years

Step-by-step explanation:

Let the investment is $P.

So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.

Let the time is y years.

So, from the formula of compound interest we can write

3P = P(1 + \frac{12}{100} )^{y}

⇒ (1 + \frac{12}{100} )^{y} = 3

⇒ (1.12)^{y} = 3

Now, taking log both sides we get,

y log 1.12 = log 3 {Since, \log a^{b} = b \log a }

⇒ 0.04922y = 0.477712

⇒ y = 9.694 years (Answer)

3 0
3 years ago
$12 meal; 4.5% tax find total cost to the nearest cent
Lemur [1.5K]

Answer:

12.54

Step-by-step explanation:

just multiply 12×0.045 and add the 12.

I hope and this helps.

Have a good day.

Good luck

8 0
3 years ago
Read 2 more answers
I NEED HELP!! pleaseee
Veronika [31]

Answer:

<h3>y = 20</h3><h3 />

Step-by-step explanation:

line RPN = 180 = 4y - 10 + 90 + y

180 - 90 + 10= 5y

100 = 5y

y = 100/5

y = 20

4 0
3 years ago
Other questions:
  • e greater roadrunner bird can run 14 miles per hour. at’s 7 times faster than an ostrich can walk. How fast does an ostrich walk
    13·1 answer
  • a line passes through point (-2,5) and has a slope of 2/3 points A(x,3) and B (-2,y) lie on the line. whats the value of x and w
    11·1 answer
  • Nico drank 1.5 liters of water during his first soccer game. He drank half as much at his second game. How many more liters of w
    6·1 answer
  • 20. Find the chi square value X 2L corresponding to a sample size of 23 and a confidence level of 90%
    11·1 answer
  • Which sum will be irrational?
    14·1 answer
  • I NEED THE ANSWER ASAP PLEASEEEE
    6·2 answers
  • On James’s MP3 player, he has 12 sad songs and 40 upbeat songs that he wants to put into playlists. He wants to have the same nu
    10·1 answer
  • What is 1.03 * 1.005
    13·2 answers
  • ANSWER #2 PLEASE :)
    12·1 answer
  • Write the equation in standard form. x = -4y + 8
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!