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Zina [86]
3 years ago
7

A cat is stuck in a tree looking down at firemen, the cat sat at a 20 degree angle

Mathematics
1 answer:
Svetach [21]3 years ago
8 0

Answer:

BC=sin(62∘)⋅22≈19.42

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1.Show that the statement p: “If x is a real number such that x3 + 4x = 0, then x is 0” is true by
Genrish500 [490]

If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.

8 0
3 years ago
3(2p + 7) = 15(p - 4)<br> HELP
kondor19780726 [428]

Answer:

Your answer is going to be p=9.

Step-by-step explanation:

3(2p+7)=15(p-4)

6p+21=15p-60

    +60       +60

6p+81=15p

-6p       -6p

(81)/9=(9p)/9

p=9

4 0
3 years ago
Read 2 more answers
Which two ratios represent quantities that are proportional?
Luba_88 [7]

Answer:

B. 18/48 and 21/56

C. 20/28 and 15/18

Step-by-step explanation:

Simplifying 18/48 = 3/8

Simplifying 21/56 = 3/8

Simplifying 20/ 28= 5/7

Simplifying 15/18 = 5/7

3 0
3 years ago
At midnight, the temperature was 3° C. By 6:00
leva [86]

Answer:

a

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
An album which originally cost p 900, mark up with 30%. What is the selling price? A. p 970.00 B. p 1070.00 C. p 1170.00 D.p 127
egoroff_w [7]

The markup percentage specifies the amount by which the selling price is

raised above the cost price.

  • The correct option for the selling price is <u>B. p 1,070.00</u>

Reasons:

The original cost of the album = p900

The mark up percentage = 30%

Required:

The selling price

Solution:

The percentage mark up is given by the difference between the price at

which an item is for sale and its cost expressed as a percentage.

\displaystyle Percentage \ mark \ up = \mathbf{\frac{Selling \ price - Cost \ price}{Cost \ price} \times 100}

Therefore, we have;

\displaystyle 30 = \frac{Selling \ price - 900 }{900}  \times 100

\displaystyle 0.3 = \frac{Selling \ price - 900 }{900}

900 × 0.3 = Selling price - 900

270 = Selling price - 900

Selling price = 900 + 270 = 1,070

The selling price is <u>B. p 1,070.00</u>

Learn more about percentage markup here:

brainly.com/question/16959984

4 0
3 years ago
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