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Rudiy27
3 years ago
6

If the gradient of a line,C, is 2/3, what is the gradient of a line which perpendicular to C

Mathematics
1 answer:
Alecsey [184]3 years ago
6 0
Gradient of a line times the gradient of a line that is perpendicular to it is-1
M1M2=-1
2/3 times M2=-1
M2=-1 times 3/2
The gradient is =-3/2
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The amount of water inside each of these things is proportional to the volume of the tank the tropical fish tank has a volume of
k0ka [10]

Answer:

1920 gallons of water

Step-by-step explanation:

From the question; the amount of water is proportional to volume of the tank

i.e amount of water = volume of the tank

in a tropical fish;

3000 gallons of water = 12.5 m³     ----- Equation (1)

However, in the  measurement of  shark tank, we have

length = 20cm = 0.2 meters

width = 4 meters

Height = 10 meters

How many gallons of water can the shark tank hold?

From the measurement of  shark tank, we can calculate the volume;

The volume of the tank = Length × width × height

Volume of the tank = 0.2 × 4 × 10 = 8 m³

since, the amount of water is proportional to volume of the tank

y ( Gallons of water ) = 8 m³    -------- Equation (2)

Equating equation 1 and 2; we have:

3000 gallons of water = 12.5 m³  

y ( Gallons of water ) = 8 m³    

y ( Gallons of water ) ×  12.5 m³  = 3000 gallons of water × 8 m³  

y ( Gallons of water )  = \frac{3000 gallons of water * 8 m^3  }{12.5m^3}

y ( Gallons of water )  = \frac{24000}{12.5}

y ( Gallons of water )  = 1920 gallons of water

Thus, the shark tank can hold 1920 gallons of water

6 0
3 years ago
Read 2 more answers
Please help me, I suck at math big time.
Juliette [100K]
So first six sided polygon is called hexagon.
and the sum of all interior angles in a hexagon is 720°
so if you divide that by six. since it has six interior angles,
the angle of each interior angle will be 120°
as of exterior angle.
*note: the sum of the interior angle and its corresponding angle is always 180°
so if you subtract 120° from 180°
you have 60°
so all exterior angles are 60° 
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3 years ago
Casper has some whipping cream that is 18\%18%18, percent butterfat and some milk that is 4\%4%4, percent butterfat. He wants to
BigorU [14]

I got it wrong on khan academy and this is what it said....

In conclusion, point M represents a scenario where the mixture has the intended volume and has more than the intended percent of butterfat.

3 0
2 years ago
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The legs of a right triangle measure 10 m and 24 m. What is the length of
SVETLANKA909090 [29]

Answer:

26

Step-by-step explanation:

100 +(24^2) = 676

square root of 676 = 26

3 0
2 years ago
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Which linear function represents the line given by the point-slope equation y + 7 = –2/3(x + 6)?a. f(x) = –2/3x – 11b. f(x) = –2
Pavel [41]

Answer:

option C

y=\frac{-2}{3}x-11

Step-by-step explanation:

The point slope equation of a line is given by

y-y_1=m(x-x_1)

Where m is the slope and (x1,y1) is the point on the point

y + 7 =\frac{-2}{3}(x + 6)

We need to write the equation in y=mx+b form

multiply -2/3 inside the parenthesis

y + 7 =\frac{-2}{3}x-4

Subtract 7 from both sides

y=\frac{-2}{3}x-11

4 0
3 years ago
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