All categories

3 years ago

2. Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work.

Mathematics

1 answer:

yarga [219]3 years ago

3 0

Answer:

$\displaystyle 61,9° ≈ x$

Step-by-step explanation:

We have to determine which trigonometric ratio to use, depending on what is displayed for us, and we will be using the cotangent [or tangent] ratio, however, aside we are solving for an angle measure, we must use the inverse:

$\displaystyle cot^{-1}\: \frac{8}{15} ≈ 61,92751306° ≈ 61,9° \\ \\ OR \\ \\ tan{-1}\: 1\frac{7}{8} ≈ 61,92751306° ≈ 61,9°$

Extended Information on Trigonometric Ratios

$\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ$

I am joyous to assist you anytime.

You might be interested in

Solve the equation for the letter d: C = pi times d

NeX [460]

C = pi*d; solve for d.

Divide both sides of this eqn by pi: C/pi = d (answer)

3 0

3 years ago

Read 2 more answers

How do u friend someone on brainlest and whaat is 1 +1 help never leaned how to count bc im number 1

Ne4ueva [31]

Answer:

You go to their profile and under their name right next to where it say's "Thanks" There is a icon of a person with a plus sign. Click that and it will send that person a friend request.

1+1=2 :))

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Metal Fabrication If an open box is made from a tin sheet 10 in. square by cutting out identical squares from each corner and be

MrRa [10]

Answer:

ength (l) : (10-2*5/3) = 20/3
width(w): (10 - 2*5/3) = 20/3
height(h): 5/3

Step-by-step explanation:

Let x is the side of identical squares

By cutting out identical squares from each corner and bending up the resulting flaps, the dimension are:

length (l) : (10-2x)
width(w): (10-2x)
height(h): x

The volume will be:

V = (10-2x) (10-2x) x

<=> V = (10x-2 $x^{2}$ ) (10-2x)

<=> V = 100x -20 $x^{2}$ - 20 $x^{2}$ + 4 $x^{3}$

<=> V = 4 $x^{3}$ - 40 $x^{2}$ + 100x

To determine the dimensions of the largest box that can be made, we need to use the derivative and and set it to zero for the maximum volume

dV/dx = 12 $x^{2}$ -80x + 100

<=> 12 $x^{2}$ -80x + 100 =0

<=> x = 5 or x= 5/3

You know 'x' cannot be 5 , because if we cut 5 inch squares out of the original square, the length and the width will be 0. So we take x = 5/3

length (l) : (10-2*5/3) = 20/3
width(w): (10 - 2*5/3) = 20/3
height(h): 5/3

6 0

3 years ago

A salesperson is driving from the office to a client, a distance of about 250 kilometers. After 45 minutes, the salesperson pass

ludmilkaskok [199]

Speed is calculated as distance covered, divided by the time taken to cover that distance. In this case, the sales person covered 50KM in 45minutes (which can also be expressed as 3/4 hours). To calculate the speed he used to cover this distance, we divide the distance covered by the time taken. So 50km/3/4hours. This gives us 66.67km/hr. In order to calculate the amount of time the salesperson used to travel from the office to the sales person, we calculate as follows 250km/66.67km/hr. This gives us a total of 3.75 hours or 3 hours 45 minutes.

7 0

3 years ago

The imposition of an integer restriction is necessary for models where:

Elena L [17]

Answer: goodluck i just needed points sorry :(

Step-by-step explanation:

idk sorry

5 0

3 years ago