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3 years ago

AB =Round your answer to the nearest hundredth.B5240

Mathematics

1 answer:

Semenov [28]3 years ago

4 0

Answer:

AB = 6.53

Step-by-step explanation:

cos theta = adjacent/ hypotenuse

cos 40 = 5/ AB

AB cos 40 = 5

AB = 5/ cos 40

AB = 6.527036447

Round to the nearest hundredth

AB = 6.53

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Which expression is equivalent to \frac{10q^5w^7}{2w^3}.\ \frac{4\left(q6\right)^2}{w^{-5}} for all values of q and w where the

mestny [16]

Answer:

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9$

Step-by-step explanation:

Given

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Required

Determine the equivalent expression

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Simplify the first fraction

$\frac{5q^5w^7}{w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Apply law of indices on the first fraction;

$5q^5w^{7-3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

$5q^5w^4.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

$\ \frac{5q^5w^4*4\left(q^6\right)^2}{w^{-5}}$

Apply law of indices:

$5q^5w^4*4\left(q^6\right)^2 * w^{5}$

Evaluate the bracket

$5q^5w^4*4 * q^{12} * w^{5}$

Collect Like Terms

$5*4q^5* q^{12}*w^4 * w^{5}$

$20q^5* q^{12}*w^4 * w^{5}$

$20q^{5+12}*w^{4+5}$

$20q^{17}w^9$

Hence:

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9$

7 0

3 years ago

What fraction has the greatest value 2/8. 1/8. 2/4. 2/6

sveticcg [70]

If you convert all of the fractions to decimals.......
2/8=,25 1/8=.125 2/4=.5 2/6=.333333

So in this case 2/4 has the greatest value....

6 0

4 years ago

What is the value of x in the equation: 5(6x - 4) = 20 + 4(3 + x)?

satela [25.4K]

Answer:

x = 2

Step-by-step explanation:

5 ( 6x - 4 ) = 20 + 4 ( 3 + x )

30x - 20 = 20 + 12 + 4x

30x - 20 = 32 + 4x

26x = 52

x = 2

8 0

3 years ago

Read 2 more answers

Help me please I don't understand

Arturiano [62]

Step-by-step explanation:

hope this helps you out with the problems

3 0

3 years ago

Hi can you help me guys please

aliina [53]

The height of the cylinder will be 5 units based on the information given.

<h3>How to calculate the height?</h3>

The cylinder has a volume of 45π cubic meters and the radius is 3 units.

The height will be calculated thus:

Volume of a cylinder = πr²h

45π = πr²h

45π = π(3²)h

45π = 9πh

h = 45π/9π

h = 5

Therefore, the height of the cylinder will be 5. units.

Learn more about volume on:

brainly.com/question/12410983

#SPJ1

7 0

2 years ago

AB =Round your answer to the nearest hundredth.B5240​

AB =Round your answer to the nearest hundredth.B5240