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3 years ago

Solve D=RT for D, if T=5hours and R=65mph

Mathematics

1 answer:

brilliants [131]3 years ago

4 0

D=325. u multilply 5 times 65 and thats the answer u get

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What are not rational numbers

m_a_m_a [10]

Step-by-step explanation:

Numbers that cannot be written as a simple fraction are Irrational (i.e not rational) numbers.

Some examples are :

π = 3.14159...........

√2 = 1.41421.............

e = 2.718218...........

7 0

3 years ago

Use the chain rule to find dw/dt. w = ln x2 + y2 + z2 , x = 7 sin(t), y = 9 cos(t), z = 6 tan(t)

DENIUS [597]

By the chain rule,

$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{\partial w}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial w}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac{\partial w}{\partial z}\dfrac{\mathrm dz}{\mathrm dt}$

We have

$\dfrac{\partial w}{\partial x}=\dfrac{2x}{x^2+y^2+z^2}$
$\dfrac{\partial w}{\partial y}=\dfrac{2y}{x^2+y^2+z^2}$
$\dfrac{\partial w}{\partial z}=\dfrac{2z}{x^2+y^2+z^2}$

$\dfrac{\mathrm dx}{\mathrm dt}=7\cos t$
$\dfrac{\mathrm dy}{\mathrm dt}=-9\sin t$
$\dfrac{\mathrm dz}{\mathrm dt}=6\sec^2t$

So we have

$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac2{x^2+y^2+z^2}\left(7x\cos t-9y\sin t+6z\sec^2t\right)$
$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{2\left(49\sin t\cos t-81\cos t\sin t+36\tan t\sec^2t\right)}{49\sin^2t+81\cos^2t+36\tan^2t}$
$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{8\sin t(9-16\cos^4t)}{\cos t(36+13\cos^2t+32\cos^4t)}$

3 0

3 years ago

A kite was broken into two triangles of the same size and shape. The area of each triangle is square centimeters. The total area

Lera25 [3.4K]

Answer: Each triangle:40 cm²

Kite : 80cm²

Step-by-step explanation:

The area of a triangle is

1/2bh

The height of the triangle is

h=1/2(10)=5cm

and the base is 16 cm.

The area of each triangle is

= 1/2(16)(5)=40cm^2

2. The total area of the kite is 2 times the area of one triangle.

= 2*40=80cm^2

3 0

3 years ago

What is step 10 in this proof

zhenek [66]

Answer: do you have more details or what I don’t understand what you need

Step-by-step explanation:

5 0

3 years ago

Good Treads and Speed Tracks manufacture tires. Good Treads claims that their tires last longer than Speed Tracks tires. A car c

Crazy boy [7]

The answer is B... good treads claim is false therefore it can be concluded that speed tracks tires last longer than good treads tires

3 0

3 years ago

Read 2 more answers