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DanielleElmas [232]

2 years ago

4

In the diagram above, O is the centre of circle, PAQis the tangent to the circle at A, AD is parallel to OC and ∠PAD = 28°. Find

,
(i) ∠ABC
(ii) ∠OAC
(iii) ∠OCD

1 answer:

iris [78.8K]2 years ago

7 0

The answer is attached.

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Harrison mows lawns and rakes leaves for his summer and fall weekend jobs. He gets $10 an hour to mow lawns and $8 an hour to ra

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Total money= 10m+8(12)

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Simplify sin θ / square root 1 - sin^2 θ

Soloha48 [4]

Recall that

$\cos^2\theta+\sin^2\theta=1$

which means

$\dfrac{\sin\theta}{\sqrt{1-\sin^2\theta}}=\dfrac{\sin\theta}{\sqrt{\cos^2\theta}}$

Now, $\cos\theta$ could be positive or negative, which means $\sqrt{\cos^2\theta}=|\cos\theta|$ . If we specifically knew the sign of $\cos\theta$ was positive, then we can simplify and write

$\dfrac{\sin\theta}{\sqrt{1-\sin^2\theta}}=\dfrac{\sin\theta}{\cos\theta}=\tan\theta$

or if it's negative,

$\dfrac{\sin\theta}{\sqrt{1-\sin^2\theta}}=\dfrac{\sin\theta}{-\cos\theta}=-\tan\theta$

7 0

2 years ago

The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a me

kkurt [141]

The final part of the question is asking;

How much did all (99.7%) of the students spend on textbooks in a semester

Answer:

almost all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.

Step-by-step explanation:

The standard deviation rule describes to us that for distributions that have the normal shape, approximately 99.7% of the observations fall within 3 standard deviations of the mean.

In this question, we are given that; Mean = 240 and Standard deviation= 25

So, 3 standard deviation below the mean = Mean - 3(standard deviation)

= 240 - (3 × 25)

= 240 - 75 = 165

Now, 3 standard deviation above the mean = Mean + 3 standard deviation = 240 + (3 × 25)

= 240 + 75 = 315

So, almost all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.

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2 years ago

If ∆ABC and ∆GEF are congruent, the value of x is___? and the value of y is ___?

attashe74 [19]

<u>Answer-</u>

<em>The value of y is </em><em>6 units</em><em>.</em>

<u>Solution-</u>

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If two triangles are congruent, then the corresponding sides are also congruent.

So,

EF = BC, GF = AC

Putting the values,

$\Rightarrow x-y=4$ --------------1

$\Rightarrow x-8=2$

$\Rightarrow x=10$ --------------------2

Putting the values of x in equation 1,

$\Rightarrow 10-y=4$

$\Rightarrow y=10-4=6$

Therefore, the value of y is 6 units.

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2 years ago

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Hospital sends an invoice to a patient. The patient schedules a payment plan in which she makes an initial payment of $1,451 the

Korvikt [17]

First month she payed 1451 dollars

Second month she payed 1/3 of that, which is:
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2 years ago

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