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3 years ago

Do NOT write incorrect answers or plagiarize or I will REPORT!

Mathematics

2 answers:

vichka [17]3 years ago

7 0

Subtract 12 from 109 to get how many she ate. Subtract 94 from 109 to get how many she gave away.

Gave away: 15

Ate: 97

These are you answers

Good luck with your test!

Tema [17]3 years ago

5 0

Answer: it’s 97

Step-by-step explanation:

it is because you subtract how many you had after your friend took (94) from the original amount (109). then you subtract the 12 from the 94 and get 82. then you add 15 and 82 and get 97

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Define human nature and human motivation. What motivates humans to be good people? What determines the way we act? What determin

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Answer:

These people include our friends and family, our classmates, our religious ... Social psychologists believe that human behavior is determined by both a ... Humans are motivated to find food and water, to obtain adequate shelter, and ... in this way, but you did it for your friends because you felt close to and cared about them.

Step-by-step explanation:

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3 years ago

What is 500 x 50, 000

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3 years ago

What is the rule for the function whose graph is shown?

lara31 [8.8K]

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4 years ago

Please verify the following trigonometric identities.

Nina [5.8K]

Seems like there is a correction in the first question (RHS is tanx.tany)

(i) For convenience: let tanx = a ; tany = b

Thus, tanx + tany = a + b

Moreover, cotx = 1/tanx = 1/a ; coty = 1/b

Thus,

cotx + coty = 1/a + 1/b = (a + b)/ab

Hence,

=> (tanx + tany)/(cotx + coty)

=> (a + b) / { (a + b)/ab }

=> ab(a + b)/(a + b)

=> ab => tanx.tany , proved.

(ii) For convenience: let sinx = a ; cosx = b

As we know, sin²x + cos²x = 1 => a²+b²=1

=> (a³ + b³)/(a + b)

=> (a + b)(a² + b² - ab) / (a + b)

=> (a² + b² - ab)

=> 1 - ab => 1 - sinx.cosx , proved

(iii): let x/2 = A

=> tan(x/2) + cosx.tan(x/2)

=> tanA + cos2A.tanA

=> tanA [1 + cos2A]

=> tanA (2cos²A) {1+cos2A = 2cos²A}

=> (sinA/cosA) (2cos²A)

=> sinA (2cosA)

=> 2sinAcosA

=> sin2A

=> sin2(x/2)

=> sinx proved

Letting x/2 = A is not mandatory. I did it to decease words*(in a line).

<u>Indentities used</u>:

• sin²A + cos²A = 1

• (a³ + b³) = (a + b)(a² + b² - 1)

• 1 + cosA = 2 cos²(A/2)

• tanA = sinA/cosA.

• 2sinAcosA = sin2A

8 0

3 years ago

Read 2 more answers

A used book store buys a hardback book for $1.50 and then sells it for $5. Over time, the store sells the same number of books i

dybincka [34]

A used book store buys a hardback book for $1.50 and then sells it for $5. Over time, the store sells the same number of books it buys. The store manager can use the equation P(x)=5x−1.5x to determine the store's profit, P(x), where x is the number of books that the store sells. Which statement about the book store is true based on the profit equation?

Cost Price of book, C.P.=$1.50

Selling Price of book, S.P.=$5

PROFIT=S.P. -C.P.

So, Profit=$5-$1.50=$3.50

So, Profit=$3.50 on each book

Or, we are given P(x)= 5x-1.50x

Or, P(x)=3.50x

For each book, we must divide the profit P(x) by x, that is, number of books

$\frac{P(x)}{x}=\frac{3.5x}{x}$

$\frac{P(x)}{x}=\frac{3.5*1}{1}$

$\frac{P(x)}{x}=3.5$

So, Profit for each book sold is $3.50

Answer:Option C

8 0

4 years ago