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N76 [4]
3 years ago
11

A rectangular tank measures 16 cm by 9 cm by 10 cm. How many milliliters of water are in the tank when it is full? How many lite

rs?
Mathematics
1 answer:
trapecia [35]3 years ago
7 0

Answer:

1,440 cubic centimeter = 1,440 milliliters

1,440 cubic centimeter= 1.44 liters

Step-by-step explanation:

Volume of the rectangular tank = length × width × height

Length = 16 cm

Width = 9 cm

Height = 10 cm

Volume of the rectangular tank = length × width × height

= 16 cm × 9 cm × 10 cm

= 1,440 cm³

Volume of the rectangular tank = 1,440 cm³

How many milliliters of water are in the tank when it is full?

1 cubic centimeter = 1 milliliter

1,440 cubic centimeter = 1,440 milliliters

How many liters?

1 cubic centimeter = 0.001 liters

1,440 cubic centimeter= 1.44 liters

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What are 2 ways of solving this proportion? 4/5 = 28/x
max2010maxim [7]

The first way is to cross multiply

4/5 = 28/x

4x = 5*28

4x = 140

4x/4 = 140/4

x = 35 which is the answer

=============================================

The second method is to note the denominators 4 and 28, and to ask yourself "what times 4 gets me 28?". The answer being 7, so 7*4 = 28. If you multiply top and bottom of the fraction 4/5 by 7, then you end up with 7*4 = 28 up top and 7*5 = 35 down below. This is another way of seeing how 4/5 = 28/35

Either way, the answer is x = 35

6 0
4 years ago
What are the rounded answers to each question?
matrenka [14]

For the given triangle, m∠G° = 51°, HI = 23.3 units, and GH = 18.9 units.

Step-by-step explanation:

Step 1:

In the triangle, the given angle is 39°, the hypotenuse side's length is 30 units. Assume the opposite side's length is x units.

To determine the opposite side's length, we determine the sin of the angle. To calculate the sin of an angle, we divide the opposite side's length by the hypotenuse's length.

sin\theta= \frac{oppositeside}{hypotenuse}, sin39=\frac{x}{30}.

0.6293 = \frac{x}{30} , x = 18.879.

GH measures 18.879 units. Rounding this off, we get 18.9 units.

Step 2:

Assume the side HI measures y units. According to Pythagoras' theorem,

30^{2}= 18.879^{2} +y^{2} , y^{2}=30^{2}-18.879^{2}.

y^{2} = 543.5834, y = 23.314.

So HI measures 23.314 units. Rounding this off, we get 23.3 units.

Step 3:

GHI is a triangle and all triangles have a total angle of 180°.

\begin{aligned}&\angle G^{\circ}+\angle H^{\circ}+\angle I^{\circ}=180^{\circ},\\&\angle G^{\circ}+90^{\circ}+39^{\circ}=180^{\circ},\\&\angle G^{\circ}=180^{\circ}-129^{\circ}=51^{\circ}.\end{aligned}

So ∠G° measures 51°.

5 0
3 years ago
Solve for a. Round to the nearest tenth, if necessary.
zmey [24]

Answer:

Step-by-step explanation:

tanx=12/18

x=arctan(12/18)

tan(90-x)=12/(a+5)

tan(90-arctan(12/18)=12/(a+5)

a+5=12/tan(90-arctan(12/18))

a=12/tan(90-arctan(12/18))-5

a=3

3 0
3 years ago
PLEASE HELP ME WITH THIS QUESTION
alekssr [168]

Answer:

The second option, 1,008 cm²

Step-by-step explanation:

   This shape has 5 sides to solve for with reguards to surface area.

   Let us solve for them all.

[1 & 2 - the triangles]

12 * 9 = 108 cm²

-> I am not going to divide since we have 2 congruent triangles

[3 - the bottom side]

25 * 12 = 300 cm²

[4 - the side facing away]

25 * 9 = 225 cm²

[5 - the side facing up]

25 * 15 = 375 cm²

   Now we will add them together for the total.

108 + 300 + 225 + 375 = 1,008 cm²

             The surface area for the triangular prism shown is 1,008 cm².

7 0
2 years ago
Read 2 more answers
At the time of her​ grandson's birth, a grandmother deposits $ 7000 in an account that pays 10% compounded monthly. What will be
beks73 [17]

Answer:

the value his child get after 25 years will be $84,314

Step-by-step explanation:

grandmother deposit =  $ 7000

compounded interest monthly =  10%

for monthly compounded = 10/12 = 0.833%

time = 25 years = 25 × 12 = 300 months

compound interest =

A= P(1+\dfrac{r}{100})^t\\A=7000(1+\dfrac{0.833}{100})^{300}\\A = \$ 84,314

hence the value his child get after 25 years will be $84,314

3 0
4 years ago
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