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4 years ago

Which expression is equivalent to 15a^8b^4/5a^4b? 3a^2b^4 3a^4b^3 10a^4b^3 10a^4b^4

Mathematics

1 answer:

EleoNora [17]4 years ago

5 0

Answer:

3 a^12 b^5

Step-by-step explanation:

Simplify the following:

(15 a^8 b^4 a^4 b)/5

15/5 = (5×3)/5 = 3:

3 a^8 b^4 a^4 b

3 a^8 b^4 a^4 b = 3 a^(8 + 4) b^(4 + 1):

3 a^(8 + 4) b^(4 + 1)

4 + 1 = 5:

3 a^(8 + 4) b^5

8 + 4 = 12:

Answer: 3 a^12 b^5

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Sin theta=-1/2 then cos theta=

zepelin [54]

Answer:

Step-by-step explanation:

Step one:

Applying the SOH CAH TOA principle

assuming all dimensions are in cm

Step two:

Given data

opposite= 1 cm

hypotenuse= 2 cm

<h3>we can now solve for θ</h3>

Sin(θ)= opp/hyp

Sin(θ)= 1/2

Sin(θ)= 0.5

θ= sin-1 0.5

θ= 30°

hence from tables cos 30°= 0.866

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3 years ago

Somebody help #9 geometry

IrinaK [193]

Answer:

$41.1units^2$

Step-by-step explanation:

$A=\frac{h_{b}b }{2} \\=\frac{8*4}{2} \\=16units^2$ (triangle)

$A=\frac{\pi r^2}{2}\\\frac{\pi 4^2}{2}\\=25.13units^2$ (semicircle)

Add both together

$16+25.13\\=41.13units^2$

4 0

3 years ago

What is the measure of angle x, help

Sergeeva-Olga [200]

Y = 180 - 51 -56 = 73

x = 180 - 73 - 72 = 35

x = 35 degrees

4 0

4 years ago

Read 2 more answers

in the diagram below, <AFB = <EFD. if m<EFD = (5x+6)°, m<DFC = (19x-15)°, and m<EFC = (17x+19)°, find m<AFE

NeX [460]

Answer:

m<AFE = 128°.

Step-by-step explanation:

<u>Step 1: Find the value of x</u>

<em>Angle EFD + Angle DFC = Angle EFC</em>

5x + 6 + 19x - 15 = 17x + 19

24x - 9 = 17x + 19

7x = 28

x = 4

<u>Step 2: Find all angles</u>

<em>Angle AFB=Angle EFD= 5x + 6</em>

5(4) + 6 = 26°

Angle DFC = 19x - 15

19(4) - 15 = 61°

<u>Step 3: Find angle AFE</u>

<em>Line BD is a straight line and all angles on a straight line are equal to 180°.</em>

<em>Angle AFB + Angle AFE + Angle EFD = 180°</em>

26 + BFC + 26 = 180°

BFC = 180 - 52

BFC = 128°

<em>Therefore, m<AFE is equal to 128°.</em>

3 0

3 years ago

As the emponent on the base 10 increases, does the standard notation number get bigger or smaller?

Ulleksa [173]

The standard notation gets bigger. For example, 10³ is bigger than 10² because their standard notation are 1,000 and 100.

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4 years ago