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Alex
3 years ago
13

Nina mixed three different solutions in her lab. Solution A has a volume of liter. Solution B has a volume of liter. Solution C

has a volum
of liter. She wants to convert the volume of each solution from a fraction to a decimal number. Help Nina by completing the following task
Part A
The volume of solution A is liter. To convert to a decimal number, set up a long division problem. Which digit belongs in the divisor and
which belongs in the dividend in the long division bracket?
divisor dividend
%%
B
1
U
x
x
Font Sizes
A-
A -
BE
432 PM
Sunday
9/6/2020
2
Lenovo
Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0

Answer:

The one that belong in the dividend bracket is the volume for A. The one that belongs in the divisor bracket is volume C.

Step-by-step explanation:

That's my explanation on what the answer is supposed to be.

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A log is floating on swiftly moving water. A stone is dropped from rest from a 50.8-m-high bridge and lands on the log as it pas
TiliK225 [7]

Answer:

Horizontal distance between the log and the bridge when the stone is released = 17.24 m

Step-by-step explanation:

Height of bridge, h = 50.8 m

Speed of log = 5.36 m/s

We need to find the horizontal distance between the log and the bridge when the stone is released, for that first we need to find time taken by the stone to reach on top of log,

We have equation of motion. s = ut + 0.5 at²

       Initial velocity, u = 0 m/s

       Acceleration, a = 9.81 m/s²

       Displacement, s = 50.8 m

Substituting,

                  s = ut + 0.5 at²

                 50.8 = 0.5 x 9.81 x t²

                     t = 3.22 seconds,

So log travels 3.22 seconds at a speed of 5.36 m/s after the release of stone,

We have equation of motion. s = ut + 0.5 at²

       Initial velocity, u = 5.36 m/s

       Acceleration, a = 0 m/s²

       Time, t = 3.22 s

Substituting,

                  s = ut + 0.5 at²

                 s = 5.36 x 3.22 + 0.5 x 0 x 3.22²

                    s = 17.24 m

Horizontal distance between the log and the bridge when the stone is released = 17.24 m

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2. Use the following picture for this question:
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Answer:

a.  24\sqrt{3}  and 41.6

b.  52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is \sqrt{3}

Thus, we can write Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}

Approximate value (rounded to nearest tenth):  24\sqrt{3} =41.6

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1

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