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3 years ago

Find the measure of "theta". Round all answers to the nearest tenth.

Mathematics

1 answer:

Anika [276]3 years ago

6 0

Answer:

58.6 degrees

Step-by-step explanation:

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In the figure, PQ is parallel to RS. The length of RP is 5cm; the length of PT is 30cm; the length of QT is 60cm. What is the le

rjkz [21]

The triangles PTQ and RTS are similar; so the ratios of corresponding sides are equal.

Let us denote the unknown length SQ as x.

We could make the following similarity relation;

$\begin{gathered} \frac{30}{30+5}=\frac{60}{60+x} \\ \end{gathered}$

Cross multiply to obtain;

$\begin{gathered} 30(60+x)=60(35) \\ 1800+30x=2100 \\ \text{collect like terms} \\ 30x=2100-1800 \\ 30x=300 \\ \text{divide both sides by 30} \\ \frac{30x}{30}=\frac{300}{30} \end{gathered}$

Therefore;

$x=10\operatorname{cm}$

Therefore, the answer is option A

3 0

1 year ago

How to multiply 18 3/8 x 1/4

user100 [1]

Decimal Form:
4.59375

Exact Form:
147/32

Mixed Number Form: 4 19/32

4 0

3 years ago

If you are studying the effects of UV rays on eyesight and you group 10 people together and make them wear sunglasses for 10 wee

Colt1911 [192]

I dont know try some one els

5 0

3 years ago

The sum of half a number and two-thirds of the number is less than 14

Gre4nikov [31]

Suppose the number is y >>>>>So y/2 +2y/3 <14
multiply both sides by 6>>>>>>>>>. 6y/2 +6x2y/3 <14x6
3y + 4y < 84
7y <84
y <84/7
y < 12

5 0

3 years ago

If copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a yea

Natasha2012 [34]

Answer:

$P(Atleast\ 1) = 0.9999992$

Step-by-step explanation:

Given

$p = 3\%$ --- rate of hard disk drives failure

$n = 4$ --- number of hard disk drives

See comment for complete question

Required

$P(Atleast\ 1)$

First, calculate the probability that the none of the 4 selected is working;

$P(none) = p^4$

$P(none) = (3\%)^4$

$P(none) = (0.03)^4$

Using the complement rule, the probability that at least 1 is working is:

$P(Atleast\ 1) = 1 - P(none)$

This gives:

$P(Atleast\ 1) = 1 - 0.03^4$

$P(Atleast\ 1) = 0.9999992$

5 0

3 years ago