Find the length of side x in simplest radical form with a rational denominator.
60°
V3
30°
X
Answers
Answer:
4√3/3
Step-by-step explanation:
Find the diagram attached below
Considering angle 60°
Opposite side = 2
Hypotenuse = x
Using the SOH CAH TOA identity
sin theta = opposite/hypotenuse
sin 60 = 2/x
x = 2/sin60
x = 2/(√3/2)
x = 2 * 2/√3
x = 4/√3
Rationalize
x = 4/√3 * √3/√3
x = 4√3/3
Hence the value of x in its simplest form is x = 4√3/3
Related Questions
1. True or false:
The ordered pair (3, 4) is a solution for the equation:
5x + 2y = 23
2. True or false:
The ordered pair (0, 4) is a solution for the equation:
5x + 2y = 23
Answers
1) true
2)false
Step-by-step explanation:
1) 5(3)+2(4) = 23
= 15+8=23
23=23
thus, (3,4) is solution for 5x + 2y = 23
2) 5(0)+2(4) =23
= 0+8 is not 23
thus, (0,4) is not solution for 5x + 2y = 23
The following playing cards are used in a game. What is the probability of not selecting a prime number?
1,2,3,4,5,6,7
Answers
Answer:
3/7
Step-by-step explanation:
1,2,3,4,5,6,7
The word problem is asking the PROBABILITY OF NOT SELECTING A PRIME NUMBER.
PROBABILITY: THE LIKELIHOOD OF AN EVENT.
There are 7 numbers in this data set. Of the seven numbers, four are prime numbers, three of them are not.
Therefore, the probability of not selecting a prime number is 3 in 7, or 3 out of 7 (3/7).
wild touring the city Bernie buys lunch for his family from a food truck he purchase more Taco for 2.75 and four cheeseburgers if he spent a total of 23.75 how much was each cheeseburger
Answers
Answer:
Each cheeseburger was $5.25.
Step-by-step explanation:
He purchased:
A taco for $2.75.
Four cheeseburgers, each for x.
In total, he spent $23.75.
How much was each cheeseburger?
This is the value of x. We have that:
[tex]2.75 + 4x = 23.75[/tex]
[tex]4x = 21[/tex]
[tex]x = \frac{21}{4}[/tex]
[tex]x = 5.25[/tex]
Each cheeseburger was $5.25.
1 Bradley is building a table
and wants the tabletop's area
to be no more than 196 in2.
If the length of the frame will
be 16 inches, what are the
possible widths of the
frame?
Answers
Answer:
Step-by-step explanation: < 180
Evaluate the expression for b = 7
6b + 8 – 5b
Answers
Answer:
For b = 7, the expression equals 15.
Step-by-step explanation:
6b + 8 - 5b
Substitute the variable b = 7.
6(7) + 8 - 5(7)
Multiply.
42 + 8 - 35
Add.
50 - 35
Subtract.
15.
Answer:
15
Step-by-step explanation:
6 × 7 = 42
5 × 7 = 35
42 + 8 - 35 = 15
PLEASE HELP I DONT GET THIS AT ALL I BEG U! helppp!! pleaseeee!!
Answers
which one doesn't belong fractions answers 1/4 , 40% , 3/2 , or 1/6
Answers
Answer:
40%.
Step-by-step explanation:
-1/4, 3/2, and 1/6 are fractions, but 40% is not.
What number is rational, less than 0, greater than -4 but is not an integer?
Answers
Which angles are adjacent to DFE?
Select all that apply.
Answers
9514 1404 393
Answer:
(c) ∠BFD
Step-by-step explanation:
Angle DFE is created from rays FD and FE. An adjacent angle will have one of those rays as one of its sides. Of the offered choices, only ∠BFD includes one of those two rays as one of its sides.
The probability of winning a game is 20% how many times should you expect to win if you play 36 times
Answers
Please and thank you....
What are the y intercepts for each graph?
Answers
Answer:
885-180 on both
Step-by-step explanation:
it says y on top
hope it helps :)
Solving steps for 2x + 14 = 34 ? I know the answer but it's asking me to label the steps
Answers
Answer:
2x+14=34
Step-by-step explanation:
Subtract 14 from both sides
2x=20
Divide by 2 on both sides
Hope this helps :)
A report about how American college students manage their finances includes data from a survey of college students. Each person in a representative sample of 793 college students was asked if they had one or more credit cards and if so, whether they paid their balance in full each month. There were 500 who paid in full each month. For this sample of 500 students, the sample mean credit card balance was reported to be $825. The sample standard deviation of the credit card balances for these 500 students was not reported, but for purposes of this exercise, suppose that it was $195. Is there convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $907, the value reported for all college students with credit cards?
Required:
a. Carry out a hypothesis test using& significance level of 0.01.
b. State the appropriate null and alternative hypotheses.
Answers
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Test statistic:
[tex]t=\frac{(825-905)}{\frac{205}{\sqrt{(500)}}}[/tex]
[tex]=\frac{(-80)}{\frac{205}{22.36}}\\\\=\frac{(-80)}{9.16}\\\\=-8.73[/tex]
Let the p-value=0
We reject H0 because of the p-value <0.01. We have evidence that college kids who pay their credit card bills in full per month have a mean balance of less than $905.
Of the 650 student at westmoreland junior high, 80% will attend the field trip. How many student will attend the field trip?
Answers
Answer:
520 students will attend
Step-by-step explanation: sorry forgot to explain. An easy way to do it is to multiply the number your using (650) x the percentage (80%) here's an example: 60% of 1,005 multiply 60 x 1005 = 603
603 is 60% of 1005. ;D
Answer: 520
Step-by-step explanation: A way to find even percentages (10%, 20%, etc) is to take 10% of the original number, in this case, it would be 65, and then multiply it by the first number in the percentage. In this case, it would be;
65 x 8 = 520
Hope this helps!
Plz help me quickly it’s due very soon!!!!
Answers
Answer:
Step-by-step explanation:
Both angles together equal 180. Set up your formula as
-4x+5+-13x+39 = 180
Now move your terms to have all x values on one side
-4x-13x = 180-5-39
-17x = 136
x=136 / -17
Use this answer in place of your x in each equation to get the angle.
You got this!
3) If the chocolate inside the package is 335954.96 mm, how much empty volume/space is inside the
container? Show all work and give answers to 2 decimal places
Answers
Answer:
A
Step-by-step explanation:
Find the measure of angle θ, to the nearest tenth.
A)48.0o
B)42.0o
C)26.0o
D)52.6o
Answers
Drag the tiles to match each measurement with an equivalent measurement.
8 quarts 1 cup 1 gallon 12 cups
Measurement Equivalent Measurement
6 pints
16 pints
8 fluid ounces
8 pints
Answers
Answer:
Measurement Equivalent Measurement
6 pints 12 cups
16 pints 8 quarts
8 fluid ounces 1 cup
8 pints 1 gallon
Step-by-step explanation:
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces
Measurement Equivalent Measurement
6 pints 12 cups
16 pints 8 quarts
8 fluid ounces 1 cup
8 pints 1 gallon
Ronald runs 6,000 meters in 2 hours. He is thinking of running an 18 kilometers race. How much time will he take in the race if he maintains the same speed?
Answers
Answer:
6 hours
Step-by-step explanation:
speed = distance/ time
6000meters to km = 6000/1000= 6km
speed for the first race = 6/2
speed = 3km/hr
for the second race
speed = distance/time
3 = 18/time
cross multiply
3* t = 18
divide both sides by 3
t = 18/3
t = 6 hours
Answer:
Ronald will take 6 hours to complete the 18 km race if he maintains this speed.
Step-by-step explanation:
6000m in 2h = 6km in 2h
multiply by 3:
18km in 6h
Have a nice day!
Emilio is drawing a graph that shows the weight of a baby elephant during the first 6 months of its life. What is the meaning of the point shown on the graph?
Ruby's Weight
A graph has age (months) on the x-axis, and weight (pounds) on the y-axis. A point is at (1, 80).
Answers
Using the function concept, it is found that the meaning of the point is that the weight of the elephant during the first month is of 80 pounds.
What is a function?In a function, represented by a set of ordered points (x,y), one value of the input x can be related to only one value of the output y.
In this problem, x is the age in months, while y is the weight in pounds, hence the meaning of point (1,80) is that the weight of the elephant during the first month is of 80 pounds.
More can be learned about the function concept at https://brainly.com/question/12463448
PLEASE HELP ME! Tysm <3 Have a Wonderful Day. The image is below.
Answers
Answer:
All apply
Step-by-step explanation:
its asking which aboslute value is less than the absolute value of 14
when you substitute each one it becomes
12<14
0<14
5<14
all make true statements
An airplane flies with a constant speed of 680 km/h. How long will it take to travel a distance of 1700 kilometers? Write an equation (I give brainliest!)
Answers
Answer:It will take the airplane 2.5 hours 2 hrs and 30 mins.
Step-by-step explanation:
1700/680= 2.5
so its 2.5 hrs
2.The marked price of television is Rs2000.If 13 percentage tax was levied, after allowing 10 percentage discount, find the final price.Single choice.
(2 Points)
Answers
Answer:
Final price = $2034
Step-by-step explanation:
Given the following data;
Marked price = $2000
Tax = 13%
Discount = 10%
To find the final sales price;
First of all, we would calculate the discount price
Discount price = 10/100 * 2000
Discount price = 20 * 10 = $200
New Price = marked price - discount price
New Price = 2000 - 200 = 1800
Next, we calculate the tax on the product;
Tax = 13/100 * 1800
Tax = 0.13 * 1800
Tax = $234
Finally, we would determine the final price;
Final price = marked price + Tax
Final price = 1800 + 234
Final price = $2034
What is the area of this figure? 6 m 14 m 4 m 20 m 4 m 12 m 6 m
Answers
Answer:
what figure
Step-by-step explanation:
What is the volume of the regular pyramid below?
Answers
Formula is V=lwh/3
V=9x9x8/3
=216
Please help me with this system of equations problem. No virus links of any kind.
Answers
Answer:
The company's expenses and sales will both total $2944 once they have sold 736 oz of links
Step-by-step explanation:
cost: y = 736 + 3x
revenue: y = 4x
y = y, so using substitution
4x = 3x + 736
x = 736
They will therefore need to sell 736 oz of links, and when plugging in 736 as x into both the equations:
y = 736 + 3(736) = 2944
y = 4(736) = 2944
Answer:
system of equations problem
A researcher surveyed 220 residents of a city about the number of hours they
spend watching news on television each day. The mean of the sample was
1.8 with a standard deviation of 0.35.
The researcher can be 95% confident that the mean number of hours all the
residents of the city are watching news on television is 1.8 with what margin
of error?
Answers
Margin of error is 4.645% with 95% confidence that the mean number of hours all the residents of the city are watching news on television is 1.8 .
Data given :
A researcher surveyed 220 residents of a city about the number of hours they spend watching news on television each day. The mean of the sample was 1.8 with a standard deviation of 0.35 .
The researcher can be 95% confident that the mean number of hours all the residents of the city are watching news on television is 1.8 with what margin of error,
By formula of margin of error = [tex]M = 1.96 \times S / \sqrt{N} ,[/tex]
[tex]Margin \ of \ error, \ M = z \times \frac{s}{\sqrt{N}}[/tex]
z - represents the z-value for the required confidence level .
s - represents the standard deviation of the sample .
N - represents the sample size .
Now, using the above information, compute the margin of error as -
[tex]\therefore \ Margin \ of \ error, \ M = z \times \frac{s}{\sqrt{N}} \\= 1.96 \times \frac{0.35}{\sqrt{220}}[/tex]
[tex]=0.04625 (rounded \ to \ 5\ decimal\ places) \\\\ =4.625\%[/tex]
Thus, the margin of error, M, is approximately 4.625% .
Know more about margin of error,
https://brainly.com/question/34599324
#SPJ4
Which of the following is equivalent to ^5sqrt13^3
Answers
Answer:
The last one 13^3/5
Step-by-step explanation:
13^3/5
I need help ss is below
Answers
Answer:
9± √3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hope this helps u!!
x - 3x² + 4 = 0 find x value