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velikii [3]
3 years ago
7

97 points

Mathematics
2 answers:
Dmitry_Shevchenko [17]3 years ago
5 0

(5c+\frac{2}{3} )(5c-\frac{2}{3} )=  25x^{c}+\frac{-4}{9}


HOPE THIS HELPS!

rosijanka [135]3 years ago
4 0

Remember:

The product of the sum of two perfect cubes:

a³ + b³ = (a + b)(a² - ab + b²)

The product of the difference of two perfect cubes:

a³ - b³ = (a - b)(a² + ab + b²)

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

Remember to follow PEMDAS.

(5c)(5c) = 25c²

(5c)(-2/3) = -10c/3

(2/3)(5c) = 10c/3

(2/3)(-2/3) = -4/9

25c²- 10c/3 + 10c/3 - 4/9

Combine like terms

25c² (-10c/3 + 10c/3) - 4/9

25c² - 4/9

25c² - 4/9 is your answer

hope this helps

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If sinA =3/5 and A+B =90 find cosB
-Dominant- [34]

A+B=90^o\to B=90^o-A\\\\\cos B=\cos(90^o-A)=\cos90^o\cos A+\sin90^o\sin A\\\\=\cos A+1\cdot\dfrac{3}{5}=0+\dfrac{3}{5}=\dfrac{3}{5}\\\\\boxed{\cos B=\dfrac{3}{5}}

Used:\\\\\cos(x+y)=\cos x\cos y+\sin x\sin y\\\\\cos90^o=0,\ sin90^o=1

Other method:

Look at the picture.

\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\sin A=\dfrac{3}{5}\to opposite=3\ and\ hypotenuse=5

\cos\theta=\dfrac{adjacent}{hypotenuse}\\\\adjacent=3\ and\ hypotenuse=5\to\cos B=\dfrac{3}{5}

8 0
3 years ago
Solve for p. -1 + 5p = -10 + 4p
sdas [7]

Answer:

p = - 9

Step-by-step explanation:

Given

- 1 + 5p = - 10 + 4p ( subtract 4p from both sides )

- 1 + p = - 10 ( add 1 to both sides )

p = - 9

5 0
3 years ago
Ame
crimeas [40]

Answer:

Concept: Mathematical Analysis

  1. 2 friends share 56
  2. 5- 10 dollar bills and 6- one dollar
  3. We split the bills in half to equate equal change.
  4. Hence 5 bills ÷2= 2.5 or 25 dollars
  5. 6 bills÷2= 3 or 3 dollars
  6. You need to make change for the 10 dollars, break a bill into 5's
3 0
2 years ago
Blake has a graden in his back yard. He picked 55 tomatoes from 5 plants. what is the ratio of tomato plants tomatoes picked?
oksian1 [2.3K]

Answer:

D

Step-by-step explanation:

he picked 11 tomatoes per plant, 55 ÷ 5 = 11 so all answers that dont include an 11 are incorrect, A and C are wrong

because the tomato plants are listed before the tomatoes picked in the ratio that means that the number of plants has to be first, and the number of tomatoes has to be second. that means the answer is D, 1 plant: 11 tomatoes

6 0
3 years ago
Rose and Dennis each open a savings account at the same time. Rose invests $2,600 in an account yielding 4.1% simple interest, a
vodka [1.7K]
The formula is
A=p (1+rt)
A future value
P present value
R interest rate
T time in years

Rose investment
A=2,600×(1+0.041×9)
A=3,559.4

Dennis investment
A=2,200×(1+0.057×9)
A=3,328.6

So Rose investment is greater than Dennis investment by
3,559.4−3,328.6=230.8

Hope it helps!
3 0
3 years ago
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