Use the correct trig function to find the value of x. SOH,CAH, TOA​

Use The Correct Trig Function To Find The Value Of X. SOH,CAH, TOA

Answers

Answer 1

x = 18.4

Step-by-step explanation:

For this problem, we are going to use the cosine function to find x:

[tex]\cos{45°} = \dfrac{adj}{hyp} = \dfrac{13}{x}[/tex]

[tex]\Rightarrow x = \dfrac{13}{\cos45°} = 18.4[/tex]


Related Questions

Rope that is cut 3/4 in length is cut into 2 pieces how long is each piece

Answers

Answer 3/8

For this question we can use the rules of multiplying fractions: 3/4 times 1/2

3 times 1 = 3

4 times 2 =8

The answer is 3/8 or 0.375

What does cross-sectional mean

Answers

Answer:

exposed by making a straight cut through a solid form, especially at right angles to an axis.

"the cross-sectional area of the wood"

or

constituting a typical or representative sample of a larger group.

"a cross-sectional survey of high school students"

ig

Hello how to solve this can anyone help

Answers

Step-by-step explanation:

f(1)= 1²+4×1=5

f(2)=2²+4×2= 12

f(3)=3²+4×3=21

domain

1,2,3

range

5,12,21

Like always, I need help :(

Answers

Answer:

The equation of the line is: x = 0

Simplify the linear expression.

−5/3a+1/8−1/6a−1/2

Enter your answer as simplified fractions in the boxes.

PLEASE HELP

Answers

12/23 is the right answer

Please help. 7th grade homework. All of these has to be turned in by tomorrow morning.

Answers

Here are the answers;

The first photo: -47/20

The second photo: I can’t really see the photo, sorry!!

The third photo: For a it is 11/2 and for b it is -1/2.


The fourth photo:
I don’t really know what number 6 is asking? The one you circled. Where is the diagram?

Find the amount of sales tax for a board game that costs $25.00 at a 7% tax rate

A.$1.75

B.$2.00

C.$2.50

D.$5.00

Answers

To find the tax we have to multiply the percent by the cost.

Remember that in order to do this we need to convert the 7% into a decimal, which means we need to divide it by 100.

7 / 100 = .07

Now lets multiply:

25 * .07 = 1.75

This means that our sales tax is A) $1.75.

I hope this helps! :)

The side of an equilateral triangle is 12. Its area is


Select one:
a. 72
b. 48
c. 144
d. 36 square root 3

Answers

A≈62.35

..................

1/2 x 12 x 12 x sin(60)
Answer is :
36 square root 3

The city commission would like to install new flagpoles that are each 15 yards tall. If there are 3 feet in 1
yard, how tall are the flagpoles in the model?

Answers

The flagpoles are 45 feet tall

Pls answer the rest for me I’ll give you brainilist

Answers

Answer:

29 x 8 = 191

62 x 19 = 1,178

8.7 x 12 = 104.4

11.9 x 4 = 47.6

45 x 6 = 270

Find the measure of each interior angle of a polygon having 9 sides​

Answers

Answer:

Sum of the interior angles = 1260°.

Step-by-step explanation:

Sum of the interior angles =  (n - 2)180° where n= number of sides

Sum of the interior angles = (9-2)180

Sum of the interior angles = 1260°

Write an equation of the line in slope-intercept form.

Answers

Answer:

y = x + 4

Step-by-step explanation:

From point (-1, 3) to point (0, 4), go up 1 (rise = 1) and go right 1 (run = 1).

slope = m = rise/run = 1/1 = 1

The y-intercept is b = 4

y = mx + b

y = x + 4

which option is correct?

Answers

Answer:

Option D

Step-by-step explanation:

It is a right triangle because AB ⊥ BC

Given that angle a = 15° and angle b = 5°, work out x

Answers

this cant be all the question

Determine the x-intercept for 3x + 2y = 14,
A)
(7,0)
B)
(0,7)
C)
2,0)
D)
(0,14

Answers

x-intercepts (14/3,0)
y-intercepts (0,7)

Answer:

X-intercept: [tex](\frac{14}{3}, 0)[/tex].

Y-intercept: (0, 7) ⇒ Option B.

Step-by-step explanation:

I'm not certain whether the question asks for either the x-intercept or the y-intercept, but I will provide the answers for both since none of the given options matches the coordinates of the x-intercept.  

X-intercept:

The x-intercept is the point on the graph where it crosses the x-axis, with coordinates of (a, 0).  The x-intercept is the value of x when y = 0.

Given the linear equation in standard form, 3x + 2y = 14, set y = 0 to solve for the x-intercept:

3x + 2y = 14

3x + 2(0) = 14

3x + 0 = 14

3x = 14

Divide both sides by 3 to solve for x:

[tex]\frac{3x}{3} = \frac{14}{3}[/tex]

[tex]x = \frac{14}{3}[/tex]

Therefore, the x-intercept is [tex](\frac{14}{3}, 0)[/tex].   None of the given option matches the value of the x-intercept.

Y-intercept:

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is the value of y when x = 0.

Set x = 0, and substitute into the given equation.

3x + 2y = 14

3(0) + 2y = 14

0 + 2y = 14

2y = 14

Divide both sides by 2 to solve for y:

[tex]\frac{2y}{2} = \frac{14}{2}[/tex]

y = 7

Therefore, the y-intercept is (0, 7), which matches Option B.

PLS HELP I NEED THIS DONE TODAY PLSSS WILL GIVE BRAINLY

Answers

Answer:

You need 6 lbs of red potatoes

32oz of cream cheese

43oz cream of potatoe soup

Step-by-step explanation:

Multiply all by 4


Select the correct answer.
When graphing an inequality, the boundary line needs to be graphed first. Which graph correctly shows the boundary line of the inequality?
y <1/3x+ 1

Answers

Answer:

C is the correct boundary line

Step-by-step explanation:

Answer:

It's so late but give that person they brainliest

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all fractions. 4y-4x= -28

Answers

Answer:

[tex] \Large{\boxed{\sf y = x - 7}} [/tex]

[tex] \\ [/tex]

Explanation:

We are given a linear equation, and we would like to express it in slope-intercept form.

[tex] \\ [/tex]

[tex] \Large{\left[ \begin{array}{c c c} \underline{\tt Slope-Intercept \: Form \text{:}} \\ ~ \\ \tt y = mx + b \end{array} \right] } [/tex]

Where:

m is the slope of the line.b is its y-intercept.(x , y) is a point through which the line passes.

[tex] \\ [/tex]

Given linear equation:

[tex] \sf 4y - 4x = -28 [/tex]

[tex] \\ [/tex]

To find the slope-intercept form of the equation, we have to solve for y.

First, add 4x to both sides of the equation:

[tex] \sf \longrightarrow 4y - 4x + 4x = -28 + 4x \\ \\ \\ \longrightarrow \sf 4y = 4x - 28 [/tex]

[tex] \\ [/tex]

Then, divide both sides of the equation by 4:

[tex] \sf \longrightarrow \dfrac{4y}{4} = \dfrac{4x - 28}{4} \\ \\ \\ \longrightarrow \sf y = \dfrac{4x}{4} - \dfrac{28}{4} \\ \\ \\ \longrightarrow \boxed{\boxed{\sf y = x - 7}} [/tex]

[tex] \\ [/tex]

[tex] \hrulefill [/tex]

[tex] \\ [/tex]

▪️Learn more about the slope-intercept form here:

↣https://brainly.com/question/26163957

Given to us:–a line's equation in Standard Form

To find:–The equation in slope - intercept .

First , Add 4x to both sides :

➱ [tex]\sf{4y-4x=-28}[/tex]

➱ [tex]\sf{4y=-28+4x}[/tex]

Next , Divide all terms by 4 to get y all alone

➱ [tex]\sf{y=-7+x}[/tex]

Rearrange so that our result matches the format for slope - intercept :

➱[tex]\sf{y = x +7}[/tex]

Henceforth, Equation : y = x + 7 .

if Vera is 3 times as old as Zoe and 2 times as old as Paul. And the sum of their ages is 33. what is Zoe's age?​

Answers

Answer:

Zoe is 6 years old.

Step-by-step explanation:

Vera - V

Zoe - Z

Paul - P

V = 3Z

Z = [tex]\frac{1}{3}V[/tex]

V = 2P

P = [tex]\frac{1}{2}V[/tex]

V + Z + P = 33

[tex]V + \frac{1}{3}V + \frac{1}{2}V = 33[/tex]

[tex]\frac{6}{6} V + \frac{2}{6}V + \frac{3}{6}V = 33[/tex]

[tex]\frac{11}{6}V = 33[/tex]

[tex]V = 33 * \frac{6}{11}[/tex]

[tex]V = 3 * \frac{6}{1}[/tex]

[tex]V = 18[/tex]

V = 3Z

18 = 3Z

Z = 6

Name one problem-solving strategy and briefly describe how it can help you as a problem-solver.?

Answers

Answer:

Trial and error

Step-by-step explanation:

It can help you by testing mulitple solutions to decleare which one is best.

How many solutions does this equation have

-4(5-3x)=12x+20
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions

Answers

Answer:

A) no solution

Step-by-step explanation:

It’s A Contradiction

Answer:

its one solution

Step-by-step explanation:

-20+12

You have a summer job that pays time and a half for overtime. That means if you work more than 40

hours in a week, your hourly wage for the extra hours is 1.5 times your rate of $12 per hour.

Write a piecewise function describing your weekly pay, P, in terms of the number of hours worked, h.


How much will you get payed if you work 47 hours?

Answers

Answer:

$522

Step-by-step explanation:

Plsss helppppppp tyyyysmmmm

Answers

Answer:

Step-by-step explanation:

x = 180 - 117 = 63°

y = 360 - 63 - 86 - 98 = 113°

Sum of angles along a line about a point on the line is 180°

Sum of internal angles on a quadrilateral is 360°

tiana car traveled 111 miles on 3/8 1/2 hot dogs in 3 3/4 minutes. how many dogs did he eat in one minute

Answers

Use a proportion:

111/( 3/8) = x/ 1

Cross Multiply

(3/8)x = 111

Multiply both sides by 8/3 ; reciprocal

x = (8/3) (111)

x = 296 miles

A statue in a harbor is approximately 295 feet tall. If the angle of the elevation of a ship to the top of the statue is 21.7 degrees, how far is the ship from the statue’s base?

Answers

Answer:

741.3 feet if rounding to the nearest tenth

Step-by-step explanation:

You will do 295/tan21.7 which gives you approximately 741.3 feet

A water tank has volume of 300 m3. If the length and width of the tank is 5 m and 300 cm, find the height of the tank.

Answers

Answer:

volume=300m3

length=5m

width=300cm=300/100=3m

To find: height of tank .

so,

volume=l×b×h

300=5×3×h

300/15=h

finally,h=20m

plssssssssssss answer for brainiest

Answers

Answer:

E = 120

F = 60

G = 120

H = 60

Step-by-step explanation:

five friends get together to have a thanksgiving dinner. roger, ted, tom, pam, and donna brought (in no particular order) turkey, salad, dressing, peas, and potatoes. each item was brought on a different colored plate (no particular order) white, purple, black, green, and pink.
- no food begins with the same letter as the name of the person who brought it
- the dressing was not brought by tom or pam
- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter
- neither rogers plate nor teds plate was purple and the peas were also not brought on the purple plate
- toms food and the food on the pink plate are not peas or potatoes
- donna did not bring the black plate

try to determine the kind of food each person brought and what color plate it was on

Answers

Pam carried turkey on a black plate, Tom carried salad on a purple plate, Roger carried dressing on a pink plate, Donna carried peas on a white plate, and Ted carried potatoes on a green plate.

To determine the kind of food each person brought and what color plate it was on, the following reasoning must be performed:

- no food begins with the same letter as the name of the person who brought it  

Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger, Ted, Tom or Pam Peas = Roger, Ted, Tom or Donna Potatoes = Roger, Ted, Tom or Donna  Green plate = Roger, Ted, Tom, Pam or Donna Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna

- the dressing was not brought by Tom or Pam  

Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Roger, Ted, Tom or Donna  Green plate = Roger, Ted, Tom, Pam or Donna Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna

- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter  

Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Ted or Tom  Green plate = Ted or Tom Purple plate = Roger, Ted, Tom, Pam or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna

- neither Roger's plate nor Ted's plate was purple and the peas were also not brought on the purple plate  

Turkey = Roger, Pam or Donna Salad = Roger, Ted, Tom, Pam or Donna Dressing = Roger or Ted Peas = Roger, Ted, Tom or Donna Potatoes = Ted or Tom  Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger, Ted, Tom, Pam or Donna

- Tom's food and the food on the pink plate are not peas or potatoes  

Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted  Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom, Pam or Donna Pink plate = Roger or Pam

- Donna did not bring the black plate  

Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted  Green plate = Ted or Tom Purple plate = Tom or Donna White plate = Roger, Ted, Tom, Pam or Donna Black plate = Roger, Ted, Tom or Pam Pink plate = Roger or Pam

- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter  

Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted  Green plate = Ted Purple plate = Tom or Donna White plate = Roger, Tom, Pam or Donna Black plate = Roger, Tom or Pam Pink plate = Roger or Pam

- neither Roger's plate nor Ted's plate was purple and the peas were also not brought on the purple plate  

Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted  Green plate = Ted Purple plate = Tom White plate = Roger, Pam or Donna Black plate = Roger or Pam Pink plate = Roger or Pam

- Tom's food and the food on the pink plate are not peas or potatoes  

Turkey = Pam Salad = Tom Dressing = Roger Peas = Donna Potatoes = Ted  Green plate = Ted Purple plate = Tom White plate = Donna Black plate = Pam Pink plate = Roger

Therefore, Pam carried turkey on a black plate, Tom carried salad on a purple plate, Roger carried dressing on a pink plate, Donna carried peas on a white plate, and Ted carried potatoes on a green plate.

Learn more in https://brainly.com/question/9149540

Find the line integral along the curve C from the origin along the x-axis to the point (6, 0) and then counterclockwise around the circumference of the circle x2 y2

Answers

Parameterize C by the two vector functions,

r(t) = (1 - t) (0, 0) + t (6, 0) = (6t, 0)

with 0 ≤ t ≤ 1, and

s(t) = (6 cos(t), 6 sin(t))

with 0 ≤ t ≤ π/2.

Then the line integral over C is equal to the sum of the line integrals over each path:

[tex]\displaystyle \int_C dS = \int_0^1 \|r'(t)\| \, dt + \int_0^{\frac{\pi}2} \|s'(t)\| \, dt[/tex]

[tex]\displaystyle \int_C dS = \int_0^1 \sqrt{6^2 + 0^2} \, dt + \int_0^{\frac{\pi}2} \sqrt{(-6\sin(t))^2 + (6\cos(t))^2} \, dt[/tex]

[tex]\displaystyle \int_C dS = 6 \int_0^1 dt + 6 \int_0^{\frac{\pi}2} dt[/tex]

[tex]\displaystyle \int_C dS = 6 + \frac{6\pi}2 = \boxed{6+3\pi}[/tex]

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A store is having a sale on trail mix and jelly beans. For 3 pounds of trail mix and 8 pounds of jelly beans, the total cost is $31. For 5 pounds of trail mix and pounds of 2 jelly beans, the total cost is 12. Find the cost for each pound of trail mix and each pound of jelly beans.

Answers

Answer:

trail mix costs 1.00 per pound

jelly beans costs 3.50 per pound

Step-by-step explanation:

t = cost of trail mix

b = cost of jelly beans

3t+8b = 31

5t+2b = 12

Multiply the second equation by -4

-4(5t+2b = 12)

-20t+-8b = -48

Add this to the first equation

3t+8b = 31

-20t+-8b = -48

-------------------------

-17t = -17

Divide by -17

t = 1

Now we can find b

3t+8b = 21

3(1) +8b = 31

3+8b =31

Subtract 3

8b = 31-3

8b = 28

Divide by 8

b = 28/8

b = 7/3

b = 3.50

Let trail mix be x and jelly beans be y

The equations are

3x+8y=31-(1)5x+2y=12-(2)

Multiplying (1) by 1 and (2) by 4

3x+8y=31---(3)20x+8y=48--(4)

Subtracting

[tex]\\ \sf\longmapsto -17x=-17[/tex]

[tex]\\ \sf\longmapsto x=1[/tex]

Putting in eq(2)

[tex]\\ \sf\longmapsto 5(1)+2y=12[/tex]

[tex]\\ \sf\longmapsto 2y=7[/tex]

[tex]\\ \sf\longmapsto y=7/2[/tex]

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