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Kay [80]
3 years ago
8

The ____states that in a right triangle the sum of the squares of the lengths of the legs is equal to the square of the length o

f the hypotenuse.​
Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0

Answer:

pythagorean theorem

Step-by-step explanation:

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An ice cube is melting, and the lengths of its sides are decreasing at a rate of 0.8 millimeters per minute At what rate is the
julia-pushkina [17]

Answer:

The rate of decrease is: 43.2mm^3/min

Step-by-step explanation:

Given

l = 18mm

\frac{dl}{dt} = -0.8mm/min ---- We used minus because the rate is decreasing

Required

Rate of decrease when: l = 18mm

The volume of the cube is:

V = l^3

Differentiate

\frac{dV}{dl} = 3l^2

Make dV the subject

dV = 3l^2 \cdot dl

Divide both sides by dt

\frac{dV}{dt} = 3l^2 \cdot \frac{dl}{dt}

Given that: l = 18mm and \frac{dl}{dt} = -0.8mm/min

\frac{dV}{dt} = 3 * (18mm)^2 * (-0.8mm/min)

\frac{dV}{dt} = 3 * 18 *-0.8mm^3/min

\frac{dV}{dt} = -43.2mm^3/min

<em>Hence, the rate of decrease is: 43.2mm^3/min</em>

8 0
3 years ago
F(-5)=5x-1= complete a funtion table with that equation
olganol [36]

f(x)=5x-1\\\\\text{Put the value of x = - 5 to the equation:}\\\\f(-5)=5(-5)-1=-25-1=-26

5 0
3 years ago
Plz its easy :) plzz
Thepotemich [5.8K]
Here is the answer hope it helps

8 0
3 years ago
Read 2 more answers
Now, think about multiplying-25×-35.
Aliun [14]

Answer:

Positive

Step-by-step explanation:

If you multiply both negative, it will always result to positive.

Rule:

+ × + = +

+ × - = -

- × + = -

- × - = +

5 0
3 years ago
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following
vivado [14]

Answer:  (-0.4, 6.8)

The graph is attached

Step-by-step explanation:

We can find the axis of symmetry using the formula x = -b/2a

x = - -4/2(-5)

x = 4/-10

x = 0.04

Substitute for x and calculate y

y = \left(0.4^{2}\right)\left(-5\right)-4\left(-0.4\right)\ +6

y = 6.8

3 0
3 years ago
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