3. Use trigonometric ratios to solve for the variable. Show your work. Round lengths to the nearest tenth and angles to the nearest whole degree. ​

3. Use Trigonometric Ratios To Solve For The Variable. Show Your Work. Round Lengths To The Nearest Tenth

Answers

Answer 1

Answer:

x = 3.4

Step-by-step explanation:

recall that for a right angle with an internal angle θ,

cos θ = adjacent length / hypotenuse

in our case,

θ = 55 deg

adjacent length = x units

hypotenuse = 6 units

substitute these into the formula above

cos θ = adjacent length / hypotenuse

cos 55 = x / 6    (multiply both sides by 6)

x = 6 cos 55 (use calculator)

x = 3.4415

x = 3.4  (rounded to nearest tenth)


Related Questions

Tristan made 98 bracelets in 7 hours and Denita made 56 bracelets in 4 hours. These rates are equivalent because they have the same _____ .
A) unit rate
B) ratio
C) rate

Answers

Answer:

A) unit rate

Hope this helps

At an end of the year sale, Gabriela bought more than 12 bottles of hand soaps and lotions. If x represents the number of hand soaps and y represents the number of lotions she bought, which inequality best represents her purchase?

x + y 12
x + y ≤ 12
x + y ≥ 12

Answers

Answer:

the answer is b

Step-by-step explanation:

edge 2021

The inequality which best represents the purchase is x + y > 12.

What is Linear Inequalities?

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given that,

At an end of the year sale, Gabriela bought more than 12 bottles of hand soaps and lotions.

Let x represents the number of hand soaps she bought.

Let y represents the number of lotions she bought.

x + y is more than 12.

So the inequality is,

x + y > 12

Hence the correct inequality is x + y > 12.

Learn more about Inequalities here :

https://brainly.com/question/28823603

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Select the statement that best justifies the conclusion based on the given information. l is in plane M, x is on line l Conclusion: x is in plane M. A plane contains at least three points not all on the same line. Exactly one plane contains a given line and a point not on the line. If a plane contains a line, it contains the points on the line. If two points lie in a plane, then the line containing them lies in that plane.

Answers

Answer:

If a plane contains a line, it contains the points on the line

Step-by-step explanation:

I got it right on a quiz

A number t increased by seventy

Answers

Answer: t + 70

Step-by-step explanation: increased means to add, so it would be adding 70 to a number, t.

7th grade math help me plzzzzz

Answers

2 maybe i have no idea sorry
sorry either 1 or 2.

Beth describes her current location: "I'm directly south of the theater, halfway to the restaurant." Plot the point representing Beth's location.

Answers

Answer:

Plot it at (4,-0.5)

Step-by-step explanation:

Answer:

-4, -0.5

Step-by-step explanation:

How far from the door must a ramp begin in order to rise 3 feet with an 8 degree angle of elevation

Answers

Answer:

Step-by-step explanation:

We know that the angle of elevation is 8 degrees.

We know that the height of the opposite side of the angle is 3 feet.

We want to know the adjacent side (the side from the start of the ramp to the bottom of the opposite side)

We can do this with tangent

[tex]tan(8) = \frac{3}{adj} \\adj = \frac{3}{tan(8)} \\adj = 21.34611 feet[/tex]

The distance between the ramp and the door can be calculated using the principle of Pythagoras, Hence, the distance should be 21.34 feets

Angle of elevation = 8°Rise = opposite = 3 feets Distance, d = adjacent

Using SOHCAHTOA :

Tanθ = Opposite / Adjacent

Tan(8°) = 3 / d

0.1405408 = 3 / d

0.1405408d = 3

Divide both sides by 0.1405408 to isolate d

0.1405408d / 0.1405408 = 3 / 0.1405408

d = 21.34 feets

Therefore, the distance of the ramp from the door should be 21.34 feets

Learn more : https://brainly.com/question/14991482

Estimate the product. Solve using an area model and the standard algorithm. Remember to express your products in standard form. 33.2 × 21 ≈ _______ × _______ = _______ Show your estimation and area model on your paper. Then solve using the standard algorithm. What is the answer?

Answers

Answer:

Step-by-step explanation:

Using the area model and standard algorithm, we have:

                332   (tenths)

          ×       21  

                332

             664    

             6972   tenths = 697.2

              30      +      3      tenths

     1       300           32         332

    20     600           64         664

33.2 × 21 =    30     ×    1      =        30    

Add: -3a 2 b 2 , –52 a 2 b 2 , 4a 2 b 2 , 23 a 2 b 2

Answers

Answer:

Step-by-step explanation:

Sum of -3a 2 b 2 , –52 a 2 b 2 , 4a 2 b 2 , 23 a 2 b 2=

(-3a 2 b 2)+( –52 a 2 b 2)+ (4a 2 b 2)+(23 a 2 b 2)=

-3a 2 b 2 –52 a 2 b 2 +4a 2 b 2 +23 a 2 b 2=.-28a 2 b 2 is the answer

Evaluate the expression 5c-2 for c=5.
help

Answers

Answer:

= 23

Step-by-step explanation:

(5) (5) - 2 ( multiply )

= 5 * 5 = 25

( subtract ) 25 - 2 = 23

A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?

Answers

Answer: B. Medium

Step-by-step explanation:

A.P.E.X

Answer:

A Medium

Step-by-step explanation:

AP. EX

A population of values has a normal distribution with μ=152.8 and σ=26.2 . You intend to draw a random sample of size n=94 . Find the probability that a single randomly selected value is less than 149.6. P(X < 149.6) =

Answers

Answer:

P(x < 149.6) = 0.11821

Step-by-step explanation:

We start by calculating the z-score of the parameter given

Mathematically,

z-score = (x-mean)/SD/√n

z-score = (149.6-152.8)/26.2/√94

z-score = -3.2/2.70

z-score = -1.18

So the probability we want to calculate is;

P( x < -1.18)

we can use the standard normal distribution table to get this

From the standard normal distribution table, this value is 0.11821

Find the area of this parallelogram.
5 cm height
7 cm width​

Answers

Answer:

35 cm^2

Step-by-step explanation:

To find the area you need to find the width and height which we have.

Now all you need to do is to use the formula Height x Width= area

so replace height with 5 cm and width with 7 cm

5 cm x 7 cm = area

5 times 7 is 35 so the area of the parallelogram is 35 cm^2 (cm times cm is cm^2)

Hope this helps!

Answer:

its either 35 or 70

Step-by-step explanation:

multiply 5 and 7 to get 35 or multiply 5 x 7 twice and get 70 pls mark brainliest me nub

PLEASE ANSWER AS SOON AS POSSIBLE!

Answers

The y- intercept has to be a point in the line where x is 0. Which means that in this case it would be -4.
To find the slope, use the formula: rise over run —> y2 - y1/x2 - x1
Choose any two coordinates and plug them in. Then simplify. Let me know if you have any questions by commenting:)
Hope I helped:)

pls answer I give brainliest

Answers

Answer:

Both have important predecessors—our Constitution was influenced by the Magna Carta and the English Bill of Rights of 1689, and the Declaration by John Locke's writings on the consent of the governed and by a document close to home for Thomas Jefferson, the draft version by George Mason of Virginia's Declaration of ...

Step-by-step explanation:

thats what I could find

Simplify (32)2
A) 9
B) 18
C) 27
D) 81

Answers

Answer:

D) 81

Step-by-step explanation:

I think cause you would do 3 by the second power so that would be 9 then 9 the the second power would be 81 so yeah good luck

Answer:

D is your correct answer

Step-by-step explanation:

Well first things first if we want to simplify with a base and an exponent we can use product of two powers with like bases.

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

Example/model of product of two powers with like bases:

x^m + n (adding the exponents)

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

If we add those two exponents you get 3^4. Then if you do 3 x 3 x 3 x 3 = ?

What do you get? You get 81. Hope this helpss! Good luck!!

What is the slope?


WILL MARK BRAINLIEST!! !!
(picture included ^^^)

Answers

Answer:

12

Step-by-step explanation:

24/2=12

Answer:

24

Step-by-step explanation:

hope this helps :)

Deandre is going bowling with some friends. It costs $5 to rent a pair of bowling shoes & $3 per game. If Deandre spent $11, how many games did he bowl?

Answers

Answer:

2

Step-by-step explanation:

He played 2 games because he already paid $5 to rent a pair of bowling shoes and each game cost $5. So all you have to do is add 5+3 and that would give you 8. That's not quit 11 yet so add another 3. 8+3 would equal 11.

Equation: 5+3+3=11

complete the missing value in the solution to the equation.

Answers

Y= 5

5(8) - 2(5)

40 - 10 = 30

what is the solution of
_/x+12=x ?

Answers

Answer:

x = -3 or x = 4

What is the average rate of change of h over the interval 5 ≤ t ≤ 9 ?

Answers

Answer:

5 because its greatest

Answer:

8!-4!

6!+6?+72817#8288288#+287228282272777337

An independent study commissioned by the stadium showed that running a cable TV ad 5 times daily for a week generated 1,200 ticket sales. The stadium wants to sell out an upcoming show, which requires the sale of 13,200 tickets. How long should the stadium run the cable ad in order to reach this target?

Answers

Answer

I think 55 times

Step-by-step explanation:

13,200/1,200 = 11

5/1200 =  x/13,200

so if 1,200*11=13, 200 then 5*11= 55.

btw , could u give me the brainliest if i am right?

The total time the stadium runs the cable ad in order to reach this target is 11 days and this can be determined by using the unitary method.

Given :

Running a cable TV ad 5 times daily for a week generated 1,200 ticket sales. The stadium wants to sell out an upcoming show, which requires the sale of 13,200 tickets.

The following steps can be used in order to determine the total times the stadium run the cable ad in order to reach this target:

Step 1 - The unitary method can be used in order to determine the total times the stadium runs the cable ad in order to reach this target.

Step 2 - According to the given data, running a cable TV ad 5 times daily for a week generated 1,200 ticket sales.

Step 3 - If running TV ad 5 times daily sales 1200 tickets then to sell 13200 tickets the total times the ad is running is:

[tex]=\dfrac{13200}{1200}\times 5[/tex]

= 55 times

Step 4 - Now, if 5 times ad running in one day then 55 times ad running in:

[tex]=\dfrac{55}{5}\times 1[/tex]

= 11 days

For more information, refer to the link given below:

https://brainly.com/question/25834626

Three Variables LINEAR EQUATION​

Answers

Answer:

x= 1, y= -2, z= 5

Step-by-step explanation:

Please see the attached picture for the full solution.

A student cycles a distance of 63 km in less
than 3 hours. What is the average speed?​

Answers

Answer:

About About 21 km/h

Step-by-step explanation: If they travel 63 km in 3 hours then all it is is just 63 divided by 3 or 63/3.

The average speed for the cycle will be 21 km per hour.

What is an average speed?

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance traveled by time. The unit of speed in miles per hour.

The average speed is defined as the ratio of the total distance traveled and the total time taken by the object.

Given that A student cycles a distance of 63 km in less than 3 hours. The average speed is calculated as:-

Average speed = Distance / time

Average  speed  = 63 / 3

Average  speed = 21 km / hr

To know more about Speed follow

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ASAP NEED HELPPPPP!!! LOOK AT SCREEN SHOT

Answers

Answer:

the answer to your question is y = -30

Answer:

-30

-Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1/2y+5=-10

Step 2: Subtract 5 from both sides.

1/2y+5-5=-10-5

1/2y+-15

Step 3: Multiply both sides by 2.

2*(1/2y)=(2)*(-15)

y=-30

Hope this helpss,good luck w thisss

Identify the property on this equation 5(a + 3b) = 5a + 15b

Answers

Answer:

??????????????????????

Step-by-step explanation:

Answer: Distributive Property

The term "distribution" is also used in place of "distributive"

This property says

x*(y+z) = x*y + x*z

We multiply the outer term x with each inner term (y and z). Then we add the results.

In this case,

x = 5

y = a

z = 3b

So,

5(a+3b) = 5*a + 5*3b = 5a+15b


5. Explain how you would classify if a square root is rational or irrational.

Answers

Answer:

if its not a perfect square(like u can't square it) then its irrational

Select all the question that are true given the diagram below

Answers

Answer:

a b d

Step-by-step explanation:

NEED ASAP


Select the THREE expressions that are equivalent to -2(4 – 3x) + (5x – 2).

A) 2x – 10
B) 11x – 10
C) -8 + 11x – 2
D) -8 – 11x – 2
E) -8 + 6x + 5x – 2
F) -8 – 3x + 5x – 2

Answers

Answer:

B , C ,E

Step-by-step explanation:

Open the brackets

= -8+6x+5x-2

= -8+11x-2

= 11x-10

options. E, C and B respectively

Answer:

(B). 11x - 10 ; (C). - 8 + 11x - 2 ; (E). - 8 + 6x + 5x - 2

Step-by-step explanation:

- 2(4 - 3x) + (5x - 2) = - 8 + 6x + 5x - 2 = - 8 + 11x - 2 = 11x - 10  

Olivia went to buy shoes at the mall. The shoes cost $55. If tax was 8%, how much did Olivia pay in all? i don't understand it

Answers

Answer:

$59.40

Step-by-step explanation:

8% is equal to 0.08

since you are adding the tax to the original cost you will multiply 55 by 1.08 to get the cost of the shoes plus the tax.

Answer:

55 times .8 =44$

Step-by-step explanation:

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