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4 years ago

Simplify, will mark brainliest.

Mathematics

1 answer:

Greeley [361]4 years ago

4 0

Answer:

6/7 ab

Step-by-step explanation:

72 a^5 b^3

-------------------

84 a^4 b^2

Separate by like terms

72/84 Divide by 12 on top and bottom = 6/7

a^5 /a^4 = a^(5-4) = a

b^3/b^2 = b^(3-2) = b

6/7 ab

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Write an equation of the line passing through the point (7, 3) that is parallel to the line 4x - 7y=9

lina2011 [118]

Answer:

y = 4/7x - 1

Step-by-step explanation:

7y = 4x - 9

y = 4/7x - 9/7

3 = 4/7(7) + b

3 = 4 + b

b = -1

8 0

3 years ago

When 30% of a number is added to the number, the result is 143. Find the number described.

Jet001 [13]

X + 0.30x = 143
1.30x = 143
x = 143 / 1.30
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8 0

3 years ago

What is cos(45°)?

Andrej [43]

Answer:

$\rm \dfrac{\sqrt2}{2}$

Step-by-step explanation:

A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,

$\rm\implies cos\theta =\dfrac{base}{hypotenuse}$

In the given triangle ,

Value of base = 1
Value of hypotenuse = √2

On substituting the respective values ,

$\rm\implies cos45^\circ =\dfrac{1}{\sqrt2}$

For rationalizing the denominator , multiply numerator and denominator by √2 , we have,

$\rm\implies cos45^\circ=\dfrac{1(\sqrt2)}{(\sqrt2)(\sqrt2)}$

Simplify ,

$\rm\implies \boxed{\pink{\frak{ cos45^\circ=\dfrac{\sqrt2}{2} }}}$

6 0

3 years ago

a certain quantity grows exponeotially over time.the inital quantity at t=0 is 2000.the quantity grows by a factor of 20%. what

kolbaska11 [484]

Answer:

5200

Step-by-step explanation:

2000 x 20% = 400

400 x 8 = 3200

2000 + 3200 =5200

3 0

4 years ago

Please help meeeeeeeeee

aalyn [17]

C.) 1600 pi cm3

When you do 10^2 you get 100 and you multiply that by the height so 16 and you get 1600.

3 0

3 years ago

Read 2 more answers