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3 years ago

I need help on questions 48 and 49.

Mathematics

1 answer:

xenn [34]3 years ago

8 0

48. A square's sides are equal, so we know that its area is a number multiplied by itself, or squared. To find the length of one side, you must take the square root of its area, 156.25, which is 12.5. To find the square's perimeter (how much fence we need to go around the garden) you must multiply that side by 4, to get 50. Antonine has 40 ft already, so he only needs 10 more ft, and each ft costs 4.97. Our final answer is 10*4.97, or $49.70.

49. The square root of 12 is about 3.46, plus 2 is our answer, about 5.46 cm.

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Given that cos 63°≈ 0.454, enter the sine of a complementary angle.<br> sin

jek_recluse [69]

Answer:

$\cos(63^\circ)$ is the same as $\sin(27^\circ)$ by co-function identities

Step-by-step explanation:

Remember that complementary angles add up to 90°. The angle that i s complementary to 63° is 27°.

Also recall the co-function identities:

sin (90° – x) = cos x
cos (90° – x) = sin x

This means that $\cos(90^\circ-27^\circ)=\sin(27^\circ)\approx0.454$ .

4 0

1 year ago

In a game called Taxation and Evasion, a player rolls a pair of dice. If, on any turn, the sum is 7, 11, or 12, the player gets

AnnZ [28]

Answer:

$Probability = \frac{243}{1024}$

Step-by-step explanation:

Given

$Sum = \{7, 11, 12\}$

$Rolls = 5$

Required

Probability of not getting audited

If a pair of dice is rolled, the following are the observations of the sum

$Outcomes = 36$

$Sum\ of\ 7 = 6$

$Sum\ of\ 11 = 2$

$Sum\ of\ 12 = 1$

So, in a single roll; The probability of getting audited is:

$p= \frac{1 + 2 + 6}{36}$

$p= \frac{9}{36}$

$p= \frac{1}{4}$

The probability of not getting audited in a single roll is:

$q = 1 - p$ --- Complement rule

$q = 1 - \frac{1}{4}$

Take LCM

$q = \frac{4 - 1}{4}$

$q = \frac{3}{4}$

The probability of not getting audited in 5 rolls is:

$Probability = q^5$

$Probability = (\frac{3}{4})^5$

$Probability = \frac{3^5}{4^5}$

$Probability = \frac{243}{1024}$

7 0

3 years ago

Five dozen cds were bought for $90 a peddlar sold them at 5 for $12 calculate his profit.

valina [46]

If 12 dozen were bought for $90 that means each CD was bought at the price of $0.66

If he sold all 60 of the CD's for 5 for $12, he'd make $144.

Subtract the income by the original buying price to find his profit. $144 - $90

The peddler made $54 profit.

5 0

3 years ago

Read 2 more answers

Seven times the smaller

Taya2010 [7]

Given:

Seven times the smaller of two consecutive even integers is the same as -300 minus 4 times the larger integer.

To find:

The integers .

Solution:

Let the smaller even integer be x.

So, larger even integer is x+2 because they are consecutive even integers.