1) Find the missing side. Give your
answer in simplest radical form.

1) Find The Missing Side. Give Youranswer In Simplest Radical Form.

Answers

Answer 1

Answer:

x = 4

y = 4√3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = 8

Adjacent = y

Opposite = x

Recall: SOHCAHTOA

✔️To find x, apply SOH:

Sin 30 = Opp/Hyp

Sin 30 = x/8

x = 8 × sin 30

x = 8 × ½ (sin 30 = ½)

x = 4

✔️To find y, apply CAH:

cos 30 = Adj/Hyp

Cos 30 = y/8

y = 8 × Cos 30

y = 8 × √3/2 (cos 30 = √3/2)

y = 4 × √3

y = 4√3


Related Questions

Find the lateral surface area of the prism. 1.5ft 3ft 4ft

Answers

Answer:

ammmm walang lumabas

Step-by-step explanation:

sorry talaga po sa susunod nalang

plz help and no spam plz. A large university accepts 60% of the students who apply. Of the students the
university accepts, 35% actually enroll. If 10,000 students apply, how many actually enroll?

Answers

2,600 students actually enroll.

Answer:

2100

Step-by-step explanation:

60%=0.6

35%=0.35

0.6*0.35=0.21

0.21*10000=2100

A delivery company is logging the number of miles each employee drives each day. The company found an average of about 85.6 miles. Assume that the standard deviation is 9.85 miles and that a random sample of 50 drivers was used to determine the average. Which statements are true about this situation?
1.)The 99% confidence interval is from about 81.43 to 90.58 miles.
2.)The 95% confidence interval is from about 82.87 to 88.33 miles.
3.)The margin of error for 95% confidence is about 2.52 miles.
4.)The sample isn’t large enough to use a normal distribution.
5.)The margin of error for 99% confidence is about 3.59 miles.
There are multiple answers

Answers

The correct answer is: (the margin of error for 99% confidence is about 3.59 miles.

The delivery company's statistics on the average driving miles show that the true statements are:

95% confidence interval ... 82.87 to 88.33 miles.Margin of error 99% confidence ... 3.59 miles.

What is the 99% confidence interval?

Z score for 99% confidence interval is 2.576 so this can be found as:

= 85.6 ± (2.576 x 9.85) / √50

= (82.01 to 89.19)

What is the 95% confidence interval?

Z score for 95% confidence interval is 1.960 so this can be found as:

= 85.6 ± (1.96 x 9.85) / √50

= (82.87 to 88.33)

What is the 95% confidence margin of error?

With a Z score of 1.960:

= (1.96 x 9.85) / √50

= 2.70 miles

What is the 99% confidence margin of error?

= (2.576 x 9.85) / √50

= 3.59 miles

The correct options are therefore 2 and 5.

Find out more on the margin of error at https://brainly.com/question/10218601.

Find the solution of the system of equations.
−2x+9y= -17
-x - 3y = -1

Answers

x=4 y=-1 (4,-1) this is the answer

Answer:

x = 4 and y = −1

(4, -1)

Step-by-step explanation:

I going to solve this system of equations by elimination. (You could also solve by substitution too.)

Multiply the first equation by 1, and multiply the second equation by -2.

1(−2x+9y= -17)

-2(-x - 3y = -1)

Becomes:  

−2x + 9y = −17

2x + 6y = 2

Add these equations to eliminate x:

15y = −15

15y/15 = -15/15

y = -1

Now we solve for x:

-x -3(-1) = -1

-x + 3 = -1

     -3   -3

-x = -4

x = 4

Hope this helped!

I need to solve these two equations using either substitution or elimination
1/4x - 1/2 = 5
3x + 2/3y = -40

Answers

Answer:

y = -15

x = -10

Step-by-step explanation:

1/4x - 1/2 = 5 (1)

3x + 2/3y = -40 (2)

Multiply (1) by 4

1/4x - 1/2 = 5

1/4x * 4 - 1/2y * 4 = 5 * 4

4/4x - 4/2y = 20

x - 2y = 20 (3)

Multiply (2) by 3

3x + 2/3y = -40 (2)

3x * 3 + 2/3y * 3 = -40 * 3

9x + 6/3y = -120

9x + 2y = -120 (4)

x - 2y = 20 (3)

9x + 2y = -120 (4)

Using elimination method, Add (3) and (4)

9x + x = -120 + 20

10x = -100

x = -100/10

x = -10

Substitute x = -10 into (3)

x - 2y = 20 (3)

-10 - 2y = 20

-2y = 20 + 10

-2y = 30

y = 30/-2

y = -15

y = -15

x = -10

What is the y-intercept for the line at the right? _________ .What is the slope of the line? __________ .Write the equation of the line in slope-y intercept form.

Answers

Y intercept is when x = 0
Look on the graph
Y intercept: (0, -1)

Slope: you can use rise/run by drawing a triangle. Rise = 4, rise = 2
4/2 = 2
The slope is 2

Equation formula : y = mx = b
m = slope, b = y intercept
Given the rest of the information already, plug the values in

Equation: y = 2x - 1

This probability is greater than the probability of flipping exactly two tails, which is .

Answers

Answer:

The probability of getting exactly two tails = 1/4

All the values greater than 1/4

or 3/4

Step-by-step explanation:

In a flip of a coin the probability of getting a tail is 1/2. If this is denoted by p =1/2 then q= 1-p= 1-1/2= 1/2

and if we have number of trials n=2

Then the binomial distribution can be applied.

(p+q)ⁿ =(p+q)² = 2c0p⁰q2 + 2c1p¹q¹ + 2c2p²q⁰

We wish to find probability of flipping exactly two coins  given by 2c2p²q⁰

= 2c2 (1/2)²(1/2)⁰

= 1/4

So the probability of getting exactly two tails = 1/4

The probability greater than 1/4 can be  all the values from 2/4, 3/4 ------1

or it can be found by

1- 1/4 = 3/4

as the total probability is always equal to 1

Colorado Springs sales tax is 8%. If you bought a sweatshirt for $20
(Remember money always has two decimal places: $0.00)
the amount of sales tax would be: $
the total purchase amount would be: $

Answers

Answer:

the amount of sales tax and the total purchase amount is $1.60 and $21.60 respectively

Step-by-step explanation:

Given that

The sales tax rate is 8%

And, the purchase price of sweatshirt is $20

We need to find out the sales tax and the total purchase amount

The sales tax is

= $20 × 8%

= $1.60

And, the total purchase amount is

= $20 + $1.60

= $21.60

Hence, the amount of sales tax and the total purchase amount is $1.60 and $21.60 respectively

What is the answer to this question?

Answers

Answer:

240 in

Step-by-step explanation:

hope this helps :)

7x2 + 49x - 56
What is the GCF? (If there is no GCF, type "na")

When going through the process of determining the factors after removing any possible GCFs, the two factors need to:

•add up to______x
• multiply to_______​

Answers

Answer:

na

Step-by-step explanation:

i know it already

Adealer gained a 10% profit by selling an article for birr 330.00 .What was the original price of the article

Answers

Answer:

$297

Step-by-step explanation:

Given data

Percent profit=10%

sales price= $330

% profit= (sales price-cost price)/sales price* 100

let the cost price be x

Substitute

10= (330-x)/330* 100

cross multiply

10= (33000-100x)/330

10*330= 33000-100x

3300=33000-100x

3300-33000=-100x

-29700=-100x

29700=100x

x=29700/100

x=297

Hence the cost price is

cost price=$297

La suma de dos números enteros consecutivos es
menor que 57.

Answers

Answer: La respuesta es 28 y 29. Tengo que explicar?

If you place a 40-foot ladder against the top of a building and the bottom of the ladder is 17 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Answers

Answer:

no se ingles pero, alguien me puede ayudar?

Answer:

The building is 36.2 ft tall.

Step-by-step explanation:

i got it right on the deltamath

5. The circle graph below shows 500 tickets
sold at a school concert.
17%
Adults
24%
Students
Children Under 12
Seniors
55%
How many tickets were sold to students?
A 55 tickets
B 120 tickets
C 225 tickets
D 275 tickets

Answers

D. Because 500 x 0.55= 275

Help!!!
Factor 64f - 64g + 96 to identify the equivalent expressions
Choose 2 answers

Answers

Answer:

Its a and d

Step-by-step explanation:

I did this assignment i got those answers

Please help ASAPppppppp

Answers

Answer:

206 miles more

Step-by-step explanation:

Divide 2240 and 28 and you get 280 then divide 2368 and 32 and subtract 280- 74

I think it’s 206 miles more

Kevin and Ornella entered a fun run. Their times for completing the course totaled 1 hour 52 minutes. Kevin's time was 4 minutes less than Ornella's. How many minutes did it take Ornella to complete the course?

Answers

Answer:

58 minutes

Step-by-step explanation:

Kelvin and Ornella completed the course in 1 hour 52 minutes

60 minutes + 52 minutes

= 112 minutes

Kelvin time is 54 minutes

Kelvin time is 4 minutes less than ornella

Hence Ornella time is 58 minutes

HELP PLS

nobody two dancers liquid smooth deftones korn mitski

Answers

perimeter: 59

area: 247

Answer:

agreed

Step-by-step explanation:

*
30 35 40
45 50 55 60
65 70 75
80


c. Determine the median

Answers

Answer:

median is 55

Step-by-step explanation:

You have 6 people working to set up for tonight's banquet, and each person can set up 13 tables per hour. You need to have 500 tables set up by 6pm. When should they begin setup?

Answers

You should begin setup by 12 PM to setup 500 tables.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, you have 6 people working to set up for tonight's banquet, and each person can set up 13 tables per hour.

So, in one hour total number of table can set up = 6×13

= 78

Number of hours = 500/78

= 6.41

≈ 6 hours

Therefore, you should begin setup by 12 PM to setup 500 tables.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ3

Which choices are equivalent to the expression below? Check all that apply.

Answers

Answer:

it is 8

Step-by-step explanation:

Answer:I just got 8 and 64 thats all I got not sure if its gonna be correct for the 64 but for 8 I'm positive about it.

Step-by-step explanation:

PLEASE HELP! Links will be reported!

Answers

Answer:

y=x+5

Step-by-step explanation:

bc each time its increasing by 5

Help me plsss with this problem i took a screen shot.

Answers

Answer:

x - 15 ≤ -6

+15     +15

X = 9

Quelqu'un pourrais m’aider à faire cette exercice svp

Answers

Réponses:

1. pour calculer la distance OF on va utiliser tout simplement le théorème de pythagore

OF = √(68²+51²)

OF = √(4624+2601)

OF = √(7225)

OF = 85 mm

2. étant donné que la cible n'est pas atteinte si la pointe de la flèche est sur le bord, et on sait que le rayon de la cible est 100

donc la distance OF ne doit pas dépasser le nombre 100

OF < 100

3. la suite de la question trois n'est pas affichée malheureusement!

bonne journée ^^

This problem please

Answers

surface areas:

1. 94 ft

2. 96 cm

volumes:

1. 60 ft

2. 42 cm

The area of a circle is equal to − + . What is the radius of the circle?

Answers

Answer:

B

Step-by-step explanation:

Solving with formula of area of circle,B is the correct answer of this question.

help needed! please and thank uuu! no links please!

Answers

Answer:

(2x×3x)+(3x×-3)

Area=L×W

Blue rectangle = 2x×3x

Pink rectangle = 3x×-3

(2x×3x)+(3x×-3)

Algunos estudiantes se repartieron una bolsa de galletas. Todos tomaron la misma cantidad y sobraron 5

Answers

Hey wait to get your dad a call please let me know thank love love for khan thank love you for the girls I hope you have came back in the next year I e know if you need me to call please thank love love it love love to see my park in tomorrow morning

What is the arc length if θ = 6 pi over 5 and the radius is 2 cm? (1 point)

Answers

the answer is 7.536 cm

Write the equation of the line that passes
through the points (-7,-9) and (-3,-1)

Answers

Answer:

2x + 5

Step-by-step explanation:

I am assuming you are talking about a linear function. If it is, then the equation would be:

2x + 5.

Hope this helps!

Answer:

[tex]y = 2x + 5[/tex]

Step-by-step explanation:

For this example, I used the slope-intercept form, [tex]y = mx + b[/tex], where m represents the slope and b represents the y-intercept.

In order to find the equation, we must find the slope and y-intercept.

Finding m

The slope can be found with the formula:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex], where the x and y variables represent different x and y values from the given points.

Substituting in values from the points, we get:

[tex]m = \frac{-1 + 9}{-3 + 7}\\\\m = \frac{8}{4}\\\\m = 2[/tex]

Finding b

In order to find the y-intercept, we must substitute the slope back into the original equation:

[tex]y = 2x + b[/tex]

After this, we must also substitute either of the two points. Both will give the correct answer, but (-3, -1) will be used for this example.

[tex]-1 = 2(-3) + b\\-1 = -6 + b\\5 = b[/tex]

Finding the equation

After this, all that must be done is to substitute the values for b and m back into the original equation.

[tex]y = 2x + 5[/tex]

To check our work, we can substitute in either of the given points. For demonstration purposes, (-7, -9) will be used.

[tex](-9) = 2(-7) + 5\\-9 = -14 + 5\\-9 = -9[/tex]

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