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Pepsi [2]
3 years ago
13

Inverse Trigonometry solve the questions below

Mathematics
1 answer:
RideAnS [48]3 years ago
8 0

Answer:

1. θ = 34.85°

2. x = 36.31°

3. x = 39.80°

Step-by-step explanation:

1. Determination of θ.

Adjacent = 11.9

Hypothenus = 14.5

Angle θ =?

Cos θ = Adjacent /Hypothenus

Cos θ = 11.9 / 14.5

Cos θ = 0.8207

Take the inverse of Cos

θ = Cos¯¹ 0.8207

θ = 34.85°

2. Determination of x

Opposite = 9 m

Hypothenus = 15.2 m

Angle x =?

Sine x = Opposite /Hypothenus

Sine x = 9 / 15.2

Sine x = 0.5921

Take the inverse of Sine

x = Sine¯¹ 0.5921

x = 36.31°

3. Determination of x

Opposite = 10 in

Adjacent = 12 in

Angle x =?

Tan x = Opposite / Adjacent

Tan x = 10 / 12

Tan x = 0.8333

Take the inverse of Tan

x = Tan¯¹ 0.8333

x = 39.80°

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zimovet [89]

Answer:

<h2>1</h2>

Step-by-step explanation:

15 + 20 / 35

35/35 = 1 (certain)

The probability of choosing a female or senior is 1, because these are the only two groups represented in the class.

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3 years ago
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This figure is made up of a rectangle and parallelogram.
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calculate length of the sides of the rectangle and multiply then do the same with the parallelogram

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4 years ago
Ona took a random sample of 20 soccer teams across Europe. She tracked the average number of goals
anygoal [31]

The predicted number of wins for a team that averages 1.5 goals per game will be 17 according to the regression model.

From the table given, the linear regression model for the data can be expressed as :

  • y = 14.02x - 3.64 ; where ;
  • y = Predicted number of wins ;
  • x = average number of goals per match ;
  • slope = 14.02 ;
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<u>The Number of wins for a team which averages 1.5 goals per match can be calculated thus</u> :

Average goals per match, x = 1.5

Substitute x = 1.5 into the equation :

y = 14.02(1.5) - 3.64

y = 17.39

y = 17 (nearest whole number)

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8 0
3 years ago
40% of the memberships sold by Gym A were gold memberships.
Aneli [31]

Answer:

a) If both gyms sold 80 total memberships, Gym A sold 12 more gold membership.

Step-by-step explanation:

Here is the complete question: 40% of the memberships sold by Gym A were gold memberships. 25% of the memberships sold by Gym B were gold memberships.  

Which statement must be true?

a) If both gyms sold 80 total memberships, Gym A sold 12 more gold membership.

b) If both gyms sold the same number of memberships, Gym A sold 15 more gold membership.

c) Gym A sold more gold membership than Gym A did.

d) If Gym B sold 50 membership, 25 would be gold memberships.

Given: Gym A have sold 40% gold membership of total membership.

Gym B have sold 25% gold membership of total membership.

Lets take option A first to find if it is true statement.

As per option A, There are total number of membership is 80.

∵ Gym A has sold 40% gold membership.

∴ Gym A gold membership= 40\% \times 80

⇒ Gym A gold membership= \frac{40}{100} \times 80= 32 member.

∴ Gym A gold membership= 32.

Now, Gym B

∵ Gym B has sold 25% gold membership.

∴ Gym B gold membership= 25\% \times 80

⇒ Gym B gold membership= \frac{25}{100} \times 80=20 member.

∴ Gym B gold membership= 20.

Next finding difference gold membership for Gym A and Gym B

32-20= 12 \ membership

Hence, we can say option A is correct as Gym A have sold 12 more gold membership, if total number of membership sold by both Gym is 80.

8 0
3 years ago
There are 38 roses, 35 tulips, and 22 lilies. The Commutative
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there isnt a list of options given but should be something like

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or maybe

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it equals 95

3 0
2 years ago
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