All categories

2 years ago

If cos f° = four ninths and the measure of segment XW is 16 units, what is the measure of segment XY?

Mathematics

1 answer:

Alexus [3.1K]2 years ago

6 0

Answer:

D. 36 units

Step-by-step explanation:

The description of the triangle is:

<em>triangle XYW in which angle W is a right angle, angle X measure f degrees, and angle Y measures d degrees </em>

Therefore, side XY is adjacent to f and side XY is the hypotenuse

From definition:

cos(f) = adjacent/hypotenuse

Replacing:

cos(f) = XW/XY

4/9 = 16/XY

XY = 16*9/4

XY = 36 units

You might be interested in

A customer's stock value seems to be rising exponentially. The equation for

Rasek [7]

<h2>Hello!</h2>

The answer is:

The correct option is A. 8.3.

To calculate the number of weeks that will pass, we need to use the given information.From the statement we know that we need to use the value of $600 substituting it as "y", and then, isolate "x", so, calculating we have:

$log(y)=0.30x+0.296\\\\log(600)=0.30x+0.296\\\\2.78=0.30x+0.296\\\\2.78-0.296=0.30x\\\\x=\frac{2.78-0.296}{0.30}=8.28=8.3$

Hence, the correct option is A. 8.3.

Have a nice day!

4 0

2 years ago

Michelle is trying to buy a car that costs $35,550, and she has saved up $20,700. She borrowed the remaining amount that she nee

Dimas [21]

Answer: $ 4,515

Step-by-step explanation:

$\\$ The cost of the car she wanted to buy = $35,550

$\\$ Her savings = $20,700

$\\$ That means she needs( $35,550 - $20,700) more in order for her to buy the car.

$\\$ Amount borrowed from the finance company = $35,550 - $20,700

$\\$ = $ 14,850

$\\$ Since she now owes the financial company a total of $19,365, then the interest accrued by the loan she borrowed is given by:

$\\$ $19,365 - $ 14,850

$\\$ = $4,515

7 0

2 years ago

Sylvester and Lin go to the amusement park. Sylvester plays 5 rounds of mini golf and takes 4 turns in the batting cages for $60

leva [86]

Answer:

Step-by-step explanation

let's use g for golf and b for batting cages

So let's start with Sylvester

he plays 5 rounds of mini golf so 5g

and he takes 4 turns in the batting cages so 4b

and he pays 60 dollars for this

SO his equation is 5g+4b=60

Now onto Lin

3g for 3 rounds of golf

6b for 6 turns in the batting cages

He pays 45 dollars

SO his equation is 3g+6b=45

Both equations:

5g+4b=60

3g+6b=45

Now you need to cancel out one variable so you can multiply the first equation by 3 and the second one by -5

15g+12b=120

-15g-30b=-225

Now the g will cancel out when you add both equations

-18b=-105

b=105/18 which is about 5.83 dollars

Now plug in 105/18 into any of the original equations and solve for g

4 0

2 years ago

The functions $f$ and $g$ are defined as follows: \[f(x) = \sqrt{\dfrac{x+1}{x-1}}\quad\text{and}\quad g(x) = \dfrac{\sqrt{x+1}}

CaHeK987 [17]

Answer:

The answer is "domain and range are different".

Step-by-step explanation:

Given:

$f(x) = \sqrt{\frac{x+1}{x-1}}\\\\g(x) =\frac{\sqrt{x+1}}{\sqrt{x-1}}\\$

Solve f(x) to find domain and range:

for element x: R:

⇒ $x \leq -1 \ \ \ and \ \ \ x > 1$ range:

$for \ \ f(x) \times element : 0 \leq f(x)< 1 \ \ \ or \ \ f(x)>1$

$g(x) =\frac{\sqrt{x+1}}{\sqrt{x-1}}\\$

Solve for domain:

⇒ $\ when \ x \ element \ R: \ \ \ x>1$

Solve for range:

⇒ $g(x) \times element$ R : $g(x)>1$

So, the value of the method f(x) and g(x) (range and domain) were different.

5 0

2 years ago

Math your class is holding elections to choose a leadership committee of 4 students. if there are 30 students in the class, how

inessss [21]

That would be 30C4 - combinations of 4 from 30.

= 30*29*28*27
---------------- = 27,405 Answer
4 * 3 * 2 * 1

7 0

2 years ago