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Nikitich [7]
3 years ago
8

He uses a scale of 0.5 centimeter to 1 inch to draw the flag. The length of the scale drawing is 2.5 centimeters, and its width

is 4.75 centimeters.
Mathematics
1 answer:
zloy xaker [14]3 years ago
7 0

The scale is

0.5 cm = 1 inch

Multiply both sides by 2 to get

1 cm = 2 inches

To convert from the scale drawing to the actual dimensions, we will multiply by 2.

The scale length is 2.5 cm, which converts to 5 inches after multiplying by 2.

The scale width is 4.75 cm which converts to 9.5 inches after multiplying by 2.

The 2.5 cm by 4.75 cm flag on paper corresponds to a 5 inch by 9.5 inch flag in real life.

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Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2).
erma4kov [3.2K]

Answer:

- 3

Step-by-step explanation:

f(x) = 2 {x}^{3}  - 6x + 1 \\ plugging \: x =  - 2 \\ f( - 2) = 2( { - 2})^{3}  - 6( - 2)+ 1  \\  = 2 \times ( - 8) + 12 + 1 \\  =  - 16 + 13 \\  =  - 3 \\ f( - 2) =  - 3

7 0
3 years ago
Water is leaking out of an inverted conical tank at a rate of 6800 cubic centimeters per min at the same time that water is bein
ivanzaharov [21]

Answer:

1508527.582 cm³/min

Step-by-step explanation:

The net rate of flow dV/dt = flow rate in - flow rate out

Let flow rate in = k. Since flow rate out = 6800 cm³/min,

dV/dt = k - 6800

Now, the volume of a cone V = πr²h/3 where r = radius of cone and h = height of cone

dV/dt = d(πr²h/3)/dt = (πr²dh/dt)/3 + 2πrhdr/dt (since dr/dt is not given we assume it is zero)

So, dV/dt = (πr²dh/dt)/3

Let h = height of tank = 12 m, r = radius of tank = diameter/2 = 3/2 = 1.5 m, h' = height when water level is rising at a rate of 21 cm/min = 3.5 m and r' = radius when water level is rising at a rate of 21 cm/min

Now, by similar triangles, h/r = h'/r'

r' = h'r/h = 3.5 m × 1.5 m/12 m = 5.25 m²/12 m = 2.625 m = 262.5 cm

Since the rate at which the water level is rising is dh/dt = 21 cm/min, and the radius at that point is r' = 262.5 cm.

The net rate of increase of water is dV/dt = (πr'²dh/dt)/3

dV/dt = (π(262.5 cm)² × 21 cm/min)/3

dV/dt = (π(68906.25 cm²) × 21 cm/min)/3

dV/dt = 1447031.25π/3 cm³

dV/dt = 4545982.745/3 cm³

dV/dt = 1515327.582 cm³/min

Since dV/dt = k - 6800 cm³/min

k = dV/dt - 6800 cm³/min

k = 1515327.582 cm³/min - 6800 cm³/min

k = 1508527.582 cm³/min

So, the rate at which water is pumped in is 1508527.582 cm³/min

5 0
3 years ago
Multi-Step Two friends compare the amount of change they
Setler79 [48]

Answer:

Ashley

Step-by-step explanation:

Ashley:

12n (n=5) = 60+2u (u=10)=80

4 quarters equal a dollar

$1.80

Beto:

10n (n=5)= 50+ 4u (u=10) = 90

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5 0
2 years ago
A wombat can reach a top speed of 40km/hr. What is this speed in m/s?
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Answer:

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Step-by-step explanation:

40km/hr equals 11,1111111 m/s

11,1111111 simplified: <u>11,1</u>

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5 0
1 year ago
Can anyone find me a chapter 10 extra credit for algebra 1
inysia [295]

Answer:

i think i found it, but you might have to print it out, but i will send the link: https://www.murrieta.k12.ca.us/cms/lib5/CA01000508/Centricity/Domain/1791/_Files/Algebra%201/c10rev.pdf

:) have a nice day love ❤

Step-by-step explanation:

7 0
3 years ago
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