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3 years ago

Find the value of p in the figure below.

Mathematics

1 answer:

nirvana33 [79]3 years ago

6 0

From the chord theorem we have:

$4\cdot4.5=6\cdot(2p-3)\\\\18=12p-18\\\\12p=18+18\\\\12p=36\qquad|:12\\\\\boxed{p=3}$

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Approximate: log 5 ^4/7

wolverine [178]

Do you mean the following:

log(5^(4/7))=around 0.4

log(5)^(4/7)=around 0.815

log(5^4)/7= same thing as top one

log((5^4)/7)=around 1.95

6 0

3 years ago

Read 2 more answers

Simplify the expression 5+6i/4+6i<br> A) 56-6i/-20<br> B) -16-6i/-20<br> C)56-6i/52<br> D) -16-6i/52

IRISSAK [1]

Answer:

$The\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

Step-by-step explanation:

As the expression given in the question as follows.

$= \frac{5 + 6i}{4 + 6i}$

Now rationalize the expression.

$= \frac{5 + 6i\times 4 - 6i}{4 + 6i\times 4 - 6i}$

Using the formula

a² - b² = (a - b) (a + b)

Using in the above

$= \frac{5 + 6i\times 4 - 6i}{(4)^{2} - (6i)^{2}}$

$= \frac{5\times 4-5\times 6i+6i\times 4-36\ i^{2}}{16 - 36(i)^{2}}$

As i² = -1

$= \frac{20-30i+24i+36}{16 + 36}$

$= \frac{56-6i}{52}$

$Therefore\ the\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

8 0

2 years ago

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250 of a number is 60. Find the number

Readme [11.4K]

.......The answer is 24.

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tigry1 [53]

Answer:

Step-by-step explanation:

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3 years ago

Find the area!!!!!!!!!!

Helen [10]

Answer:

87.5

Step-by-step explanation:

Area = 11+7

--- x 7

Area = a+b/2 x h

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3 years ago