Let θ be an acute angle such that cosθ = 1/3. Find the value of tanθ.

Answers

Answer 1

Answer:

Answer:
tan θ = 2.74

Step-by-step explanation:

given that cos θ = $(1)/(3)$ , to find angle we do the inverse which is $cos^(-1)$ (1/3) =θ , and we get θ =around 70 degree.
tanθ ⇒ tan (70 °) = 2.75

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On a map, 3 inches corresponds to 100 miles. Find the actual distance between two cities that are 7 1/2 inches apart on the map.

Answers

Check by using law of ratios and proportions:
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What is the solution to the system of equations graphed below? y = x - 2 y = 4x - 5

Answers

There are 3 available methods - Substitution , Elimination and Matrix.

The substitution method is used to eliminate one of the variables by replacement.

The elimination method is used for solving linear systems.

A Matrix is an array of numbers.

Lets use Substitution to solve this system.

$x-2=4x-5$

$-2=4x-5-x$

$-2=(4x-x)-5$

$-2=3x-5$

$-2+5=3x$

$3=3x$

$3=3x / 3$

$x=1$

Now substitute $x=1$

$y=x-2$

$y=1-2$

$y=-1$

Hence - $x=1 y=-1$

Answer:

1, -1

Step-by-step explanation:

True or false: The rectangular coordinates of a point are unique.

Answers

The rectangular coordinates of a point are unique.

The statement is true.

Given, that coordinates of rectangle.

Properties of rectangle:

1) Opposite sides of the rectangle are equal.

2) Side length of the rectangle with rectangular coordinates can be obtained by distance formula.

Distance formula :

$D = √((y_2 - y_1)^2 + (x_2 - x_1)^2)$

Where,

( $x_1 , y_1$ ) = Coordinates of rectangle .

$(x_2, y_2)$ = Coordinates of rectangle .

Four coordinates of rectangle will be different and unique thus forming a perfect rectangle satisfying all the properties.

Therefore the statement is true.

Know more about rectangle,

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The answer is true Hope the answer is correct

Can someone help me with this question? pls

Answers

Answer:

See attachment

Step-by-step explanation:

See attachment

e) Andy is 2 times younger than his sister and his father is 25 years older than him. If the total of their ages is 53 years, what is Andy’s age and his father’s age?

Answers

An equation is formed of two equal expressions. The age of Andy is 7 years, while the age of his father is 32 years.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let Andy's sister's age be represented by y, while the age of Andy is represented by x. Given that Andy is 2 times younger than his sister. Therefore, we can write the equation as,

Sister's age, y = 2x

Also, Andy's father is 25 years older than him. Therefore, we can write,

Father = x + 25

Since the sum of all the people's age is 53. Therefore, we can write,

Sum = y + x + Father's age

53 = 2x + x + x + 25

53 = 4x + 25

28 = 4x

x = 28/4

x = 7

Therefore, the age of the family members can be written as,

Andy's age = x = 7 years