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2 years ago

What trig function would you use to find y using 47 angle

Mathematics

2 answers:

matrenka [14]2 years ago

4 0

Answer:

B. sine

Step-by-step explanation:

In the given case you would use sine

sin = opposite / hypotenuse
sin 47 = y/11
y = 11 sin 47
y = 8.0 (rounded)

Using cosine or tangent you wouldn't be able to find the value of y as the value of x is unknown

oee [108]2 years ago

4 0

GIVEN:

p = y, b = x, h = 11, angle = 47°.

ANSWER:

We will use sin function to find the value of y,

so, sin47° = p/h

sin47° = y/11

y = sin47° × 11

y = 0.73135370 × 11

y = 8.03 or 8.0 rounded.

So, Correct choice - [B] Sine.

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On any given day, mail gets delivered by either Alice or Bob. If Alice delivers it, which happens with probability 1/4 , she doe

Troyanec [42]

Answer:

(a) The value of fₓ (9.5) is 0.125.

(b) The value of fₓ (10.5) is 0.50.

Step-by-step explanation:

Let X denote delivery time of the mail delivered by Alice and Y denote delivery time of the mail delivered by Bob.

It i provided that:

$X\sim U(9, 11)\\Y\sim U(10, 12)$

The probability that Alice delivers the mail is, p = 1/4.

The probability that Bob delivers the mail is, q = 3/4.

The probability density function of a Uniform distribution with parameters [a, b] is:

$f(x)=\left \{ {{\frac{1}{b-a};\ a, b>0} \atop {0;\ otherwise}} \right.$

The probability density function of the delivery time of Alice is:

$f(X_{A})=\left \{ {{\frac{1}{b-a}=\frac{1}{2};\ [a, b]=[9, 11]} \atop {0;\ otherwise}} \right.$

The probability density function of the delivery time of Bob is:

$f(X_{B})=\left \{ {{\frac{1}{b-a}=\frac{1}{2};\ [a, b]=[10, 12]} \atop {0;\ otherwise}} \right.$

(a)

Compute the value of fₓ (9.5) as follows:

For delivery time 9.5, only Alice can do the delivery because Bob delivers the mail in the time interval 10 to 12.

The value of fₓ (9.5) is:

$f_{X}(9.5)=p.f(X_{A})+q.f(X_B})\\=(\frac{1}{4}\times \frac{1}{2})+(\frac{3}{4}\times0)\\=\frac{1}{8}\\=0.125$

Thus, the value of fₓ (9.5) is 0.125.

(b)

Compute the value of fₓ (10.5) as follows:

For delivery time 10.5, both Alice and Bob can do the delivery because Alice's delivery time is in the interval 9 to 11 and that of Bob's is in the time interval 10 to 12.

The value of fₓ (10.5) is:

$f_{X}(10.5)=p.f(X_{A})+q.f(X_B})\\=(\frac{1}{4}\times \frac{1}{2})+(\frac{3}{4}\times\frac{1}{2})\\=\frac{1}{8}+\frac{3}{8}\\=0.50$

Thus, the value of fₓ (10.5) is 0.50.

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3 years ago

On the farm, there were 2 types of animals, Pigs and Chickens. The farm had a total of 10 animals. one day he counted 34 legs. H

makvit [3.9K]

Answer:

Step-by-step explanation:

since he said he counted 34 legs.

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3 years ago

i need step by step explaniton. judy has $3,024 dollars in her bank account she is planning to spend this money on buying ticket

Gre4nikov [31]

Answer:

uhh judy has $3.024 in her bank acc

She is buying tickets for 11 friends and including herself too that means 12

Two friends decided help to buy the tickets and offered $100 each i.e $200

So I'm guessing that the cost price of one ticket is $100

Now than since 2 people paid their ticket cost than that means only 10 people left

Than for buying tickets for 10 people would cost (10×100=1000)

So I guess buying the tickets cost 1000 or if we add other two people's cost than that makes 1200

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3 years ago

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7.50

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Answer:

Step-by-step explanation:

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