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2 years ago

Question 1. Enter the ratio equivalent to sin(B)

Mathematics

1 answer:

Deffense [45]2 years ago

8 0

Answer:

The three questions about the given triangle has been answered below.

Step-by-step explanation:

We are given a right angled triangle whose sides are of length 20, 21 and 29.

(1) sin(B) = $\frac{side opposite to B}{hypotenuse}$

= $\frac{21}{29}$

= 0.72

(2) sin(A) = $\frac{20}{29}$

sin(A) = 0.689

∠CAB = $sin^{-1}(0.689)$

∠CAB = 43.551°

(3) We suppose that cosA < sinA and we haveto find which all angles will satisfy this condition.For this the angle A should be greater than 45°.

From the given options the angles that satisfy this are 55 , 66 and 75.

45 is not included as then sinA = cosA and that condition is not there.

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ALGEBRA 2/ TRIG QUESTION ATTACHED Please help ❤️❤️

ss7ja [257]

Let's calculate the value of angle A and B

sin(A) =-4/5 → sin⁻¹(- 4/5) = A → A = - 53.13

cos(B) = -5/13 → cos⁻¹ (- 5/13) = B → B = 112.62

tan (A+B) = sin(A+B)/cos(A+B) with A+B = -53.13 + 112.62 = 59.49

tan (A+B) = sin(59.49)/cos(59.49) = 0.86154/0.507688 = 1.6969.

(Answer H = 56/33 = 1.6969)

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2 years ago

A submarine is 730 m below sea level. An airplane that is directly over the submarine is 9,144 m above sea level. What is the ve

Rina8888 [55]

Submarine: -730
Airplane: 9,144
|-730-9,144|=|-9,874|=9,874
|d|: absolute value
The vertical distance between the submarine and airplane is 9,874 meters.

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2 years ago

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How is a calculation of net worth different from a day-to-day or month-to-month tallying of expenses?

muminat

Net worth includes everything of value you own or could get money for. While month to month expenses is just wages or available spending money

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2 years ago

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Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the len

alexira [117]

Answer:

HJ = 8 JE = 4

Step-by-step explanation:

it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.

HJ= 1/2 (GF)

x + 3 = 1/2 (4x - 4)

x + 3 = 2x - 2

x = 5

^ Thus meaning the value of x is 5.

Now you just fill into your equations:

HJ = x + 3 = (5) + 3 = 8

JE = x - 1 = (5) - 1 = 4

Therefore, HJ = 8; JE = 4.

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2 years ago

A website reports that 70% of its users are from outside a certain country, and 60% of its users logon the website every day. Su

JulijaS [17]

Answer:

The value is $P (I | L ) = 0.63$

The probability has increased

Step-by-step explanation:

From the question we are told that

The percentage that are from outside the country is $P(O) = 0.70$

The percentage that logs on everyday is $P(L) = 0.60$

The percentage that logs on everyday that are from the inside the country is $P(L | I) = 0.80$

Generally using Bayes' Rule the probability that a person is from the country given that he logs on the website every day is mathematically represented as

$P (I | L ) = \frac{P(I)* P(L|I)}{ P(O) *P(L|O) + P(I) *P(L|I) }$