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klemol [59]
3 years ago
14

If a : b= 5:8 and a = 20, find b.

Mathematics
2 answers:
ioda3 years ago
7 0

Answer:

32

Step-by-step explanation:

a:b = 5:8 means a/b = 5/8

20/b = 5/8

Cross multiplication will give you b = 32

Talja [164]3 years ago
6 0

Answer:

b = 32

Step-by-step explanation:

20/5 = 4

So for finding b, we have to multiply 8 * 4 which is 32.

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Use chain rule to find dw/dt w=ln(x^2 + y^2 + z^2)^(1/2) , x=sint, y=cost, z=tant
son4ous [18]
The chain rule states that

\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}

Since \ln(x^2+y^2+z^2)^{1/2}=\dfrac12\ln(x^2+y^2+z^2), you have

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

and

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

Also, since x^2+y^2+z^2=\sin^2t+\cos^2t+\tan^2t=1+\tan^2t=\sec^2t, the derivative is

\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{\sin t\cos t}{\sec^2t}-\dfrac{\sin t\cos t}{\sec^2t}+\dfrac{\tan t\sec^2t}{\sec^2t}
\dfrac{\mathrm dw}{\mathrm dt}=\tan t
4 0
3 years ago
Obon
SVETLANKA909090 [29]

Answer:

<h2>Sorry mate I am not able to understand ur question ❓❓❓❓ . sorry mate next time I can give u the answer.</h2>
3 0
3 years ago
Pls help im really bad at math no links pls​
lawyer [7]

Answer:

-\frac{1}{2}

Step-by-step explanation:

-\frac{5}{6} +\frac{6}{18}

-\frac{5}{6} +\frac{2}{6}        reduced

\frac{-5+2}{6}            transformed the expression to make it easier

-\frac{3}{6}               add

-\frac{1}{2}               reduce

8 0
2 years ago
AB= 4x + 7 and BC = 20x - 5 <br> AB ~= BC
Mariana [72]

The value of the variable x is 3/4

<h3>What are congruent segments</h3>

Congruent segment are segments with equal or congruent lengths.

From the information given, we have that line AB is approximately equal to line BC. This is represented as;

AB = BC

Where;

  • AB = 4x + 7
  • BC = 20x - 7

Now, let's equate the expressions

4x + 7 = 20x - 5

collect like terms

4x - 20x = - 5 - 7

- 16x = - 12

Make 'x' the subject of formula

x = -12/-16

x = 3/4

Thus, the value of the variable x is 3/4

Learn more about line segments here:

brainly.com/question/1388250

#SPJ1

8 0
2 years ago
Read 2 more answers
What’s the correct answer ?
Leona [35]
The answer is a) 35


The steps:
180° - 95 ° = 85 °
180 ° - (85 ° + 60 °)=35 °
7 0
3 years ago
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