Find the length of side x in simplest radical form with a rational denominator.
60
х
309
2
Answers
Answer:
[tex]\frac{2}{3} \sqrt{3}[/tex]
Step-by-step explanation:
We know this triangle has angles 30, 60, and 90 degrees. Triangles with these angles have a special relationship on the sides.
The side opposite to the 90 degree angle is 2 times of x.
The side opposite to the 60 degree angle is [tex]\sqrt{3}[/tex] multiplied x.
We know the side opposite to 60 degree angle is 2, so x would be
[tex]\frac{2}{\sqrt{3}}[/tex]
However, we can't have an irrational number in the demoninator so we multiply the fractice by root 3 over root 3:
[tex]\frac{2}{\sqrt{3}} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]
which gives us [tex]\frac{2}{3} \sqrt{3}[/tex]
Related Questions
Find the circumference and area of a circle with a diameter of 22 inches. Leave your answers in terms of pi. (4 points) a C = 110; A = 440. b C = 22n; A = 440 C C = 110; A = 1210 C = 22n; A = 1210
Answers
Answer:
C = 22[tex]\pi[/tex]
A = [tex]121\pi[/tex]
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
hey please help with giving brainliest
Answers
Answer:
I think second bullet point
Step-by-step explanation:
Answer:
B adjacentStep-by-step explanation:
angles aren't complementary because complementary angles add up to 90 and we don't know the values.
they are not vertical because they are not vertical to each other
I hope this helped you :)
Which segment is a reflection of segment AB over the line x = 1?
Line segment C D
Line segment E F
Line segment G H
Line segment I J
Answers
Answer:
EF
Step-by-step explanation:
this line is a mirror version of AB when you reflect it across x=1
Hope this is helpful! :))
Answer:
EF
Step-by-step explanation:
Edge2021
Y=2(-8)+7. How do I do this ???
Answers
Answer:
y=−9
Step-by-step explanation:
Let's solve for y.
y=(2)(−8)+7
Answer:
y=-9
Step-by-step explanation:
Y=2(-8)+7
first multiply
Y=-16+7
add like terms
y=-9
Write equivalent fractions for 2 2/5 and 1 3/4 using a common denominator
Answers
Answer:
12/5 and 15/5
Step-by-step explanation:
I think this is the answer based on ur question but sry if I'm incorrect. boom roasted.
Solve the following equation by using properties of logarithms.
500 / (1 + e^-5x) = 300
Answers
Step-by-step explanation:
in the 6 th process I've used natural logarithm ln and ln(e)=1.
if the answer is required in decimal u can substitute the value in calculator.
hope it helps
Explain how to find the slope of a vertical line
Answers
Answer:
its undefined because its only going up and never over 1/0
A carnival is selling red tickets for rides and yellow tickets for games. The red tickets are $1.25 each and the yellow tickets are $0.75 each. The total number of tickets sold was 1,032 and the total sales was $979. Let r represent the number of red tickets sold and y represent the number of yellow tickets sold. Which pair of linear equations can be used to find the number of red tickets sold?
{ r + y = 979 0.75 r + 1.25 y = 1,032
{ r + y = 1,032 0.75 r + 1.25 y = 979
{ r + y = 979 1.25 r + 0.75 y = 1,032
{ r + y = 1,032 1.25 r + 0.75 y = 979
Answers
Answer:
Your answer.
Equation is D
R = 622
Y = 410
Thank you. And give my answer as Brainlist answer. Follow me for more
Step-by-step explanation:
See screenshot Please! :) and help ASAP thank youu!! <33
Answers
Answer:
A.
Step-by-step explanation:
A. makes the most sense out of all of them. But if it had to be another one, I'd say D. Sorry! I'm not the best at these either. :)
Help, please!!!!!!!!
Answers
y= 3/2 x+ 3 and 3x-2y=-6
Step-by-step explanation:
□y = -3/2x-9
□y=3x+3
□3x+2y=-9 = y=-9/2 -3/2x
□y=3/2x+3 correct
□3x-2y=-6 = y=3+ 3/2x correct
□2/3x +3
I struggle on this one to
Answers
Answer:
13. acute
14. right
15. 36
16. x = 14
Step-by-step explanation:
Find the slope of the line passing through (3, 7) and (6, 11). Note: Use the y-y/x-x formula!
Answers
Answer:
Slope of the line [tex]m = \frac{4}{3}[/tex]
Step-by-step explanation:
Explanation:-
Given points are ( 3,7) and (6,11)
Slope of the line
[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{11-7}{6-3}[/tex]
[tex]m = \frac{4}{3}[/tex]
Slope of the line [tex]m = \frac{4}{3}[/tex]
A factory can fill 225 bottles of orange juice each hour. Each bottle of juice contains 24 fluid ounces of juice. Each bottle of juice sells for $5.50. How many pints of juice are filled in each 12-hour shift?
Answers
Answer: 4050 pints
Some information provided is irrelevant to the problem. The question asks how many pints are filled for each 12-hour shift.
Relevant information
A factory can fill 225 bottles of orange juice each hour.Each bottle of juice contains 24 fluid ounces of juice.Fact
One pint is the same as 16 fluid ounces.
Plan
Calculate the total number of bottles the factory can produce in 12 hours. Then, convert the total number of bottles to the total number of fluid ounces. Lastly, convert fluid ounces to pints.
Solution
If then factory can produce 225 bottes in one hour, then, in 12 hours, 225*12=2700 bottles are produced. Since each bottle is 24 fluid ounces, then the factory produced 2700*24=64800 fluid ounces in total. Converting this to pints, the factory produced 64800/16=4050 pints
help asap I have till 4 30 pls giving points
Answers
Answer:
13 5/6
Step-by-step explanation:
To find the perimeter, add all the sides together.
5 7/18 + 3 7/18 + 5 1/18 = 13 15/18 = 13 5/6
Best of Luck!
please help thank you
Answers
the perimeter of the square is 4cm
Orignal Price = $36.90
% Markup = $34%
Whats my answer? ASAP!
Answers
Answer:
49.446
Step-by-step explanation:
Answer:
$49.45
Step-by-step explanation:
The original price is $36.90
It Markup (Meaning you add) to 34%
So you multiply 36.90 and 0.34
Which is 12.546
Since this is about money round 12.546 to 12.55
Then add 12.55 and 36.90
Which is 49.45
Answer: $49.45
write an equation perpendicular to y=1/5 x+9 that passes through the point (-2,-2)
Answers
Answer:
-2= 1/5x-2 +9
-2= -0.4 +9
Step-by-step explanation:
Problem of the Day 7.7
Joshua swims 18 laps every day at swim practice. If he swims every day for 32 days, how many laps has he completed?
Answers
Answer:
576
Step-by-step explanation:
18 x 32 = 576
do you guys know this please help
Answers
Answer:
I'm pretty sure 44cm2
Step-by-step explanation:
If im wrong sorry if Im right give me 5 stars pls
if there are 300 seventh graders, and 80% passed the benchmark, how many passed the benchmark
Answers
Answer:
240 seventh graders passed
Step-by-step explanation:
300 x 0.8 = 240
Between which two consecutive whole numbers does \sqrt{5} 5 Between which two consecutive whole numbers does \sqrt{5} 5 lie? Fill out the sentence below to justify your answer and use your mouse to drag \sqrt{5} 5 to an approximately correct location on the number line.
Answers
Answer:
2 and 3
Step-by-step explanation:
Sqrt(5) will lie between the square root of the perfect square before 5 and the square root of the perfect square after 5
Perfect square before 5 = 4
Perfect square after 5 = 9
sqrt(4) and sqrt(9)
2 and 3
Mr falcone pizza shop offers three sizes of pizza the large pizza has a diner tee of 12 inches what is the largest pizza
Answers
Answer:
37.68
Step-by-step explanation:
Find the difference in slopes. Can anyone help me with this? I need it, its a grade for my mah class.
Answers
Answer:
Slope of the graphed line, using 2 points (-1, 3) and (0, 0):
m₁ = 3/-1 = -3Slope of the line containing the points (-6, 2) and (-9, 5):
m₂ = (5 - 2)/(-9 - (-6)) = 3/-3 = -1The difference in number between the slopes:
-3 - (-1) = -2The difference in slopes:
The slope of the graphed line is 3 times steeper.Answer:
i like to know this answer
List and appraise a piece of music base on timbre
3) Given P = 5y , find the positive values of x and y that will give P its maximum value if ^2 + 5 = 7.
Answers
Answer:
were the hell is x
Step-by-step explanation:
where is x in it holy........
Linda received 3/5 of the votes in the election for student council president. What percent of the votes did Linda receive
Answers
Answer:
60.
Step-by-step explanation:
Answer:
[tex]60%[/tex][tex]%[/tex]%
Can u gimme brain plz!What is the result when we simplify the expression ( 1 + 1 /x ) ( 1 − 2/x + 1 ) ( 1 + 2/ x − 1 ) ?
Answers
Step-by-step explanation:
Let y be 1/x. Then 2y = 2/x.
We wish to simplify (1 + y)(2 - 2y)(2y).
(1 + y)(2 - 2y)(2y)
= 4y(1 + y)(1 - y)
= 4y(1 - y²)
= 4y - y³
= 4/x - 1/x³.
P.S. Writing it as (4x² - 1)/x³ is fine.
Find the surface area of the rectangular prism.
3 in.
2 in.
4 in.
1.)60 in 2
2.)84 in 2
3.)26 in
4.)52 in2
Answers
Answer:
52 Inches³
Step-by-step explanation:
The surface area formula for a rectangular prism is 2 x (height x width + width x length + height x length)
SA= 2(4x2+2x3+4x3)
w – 9 = 22 what is w
Answers
Answer:
31............
Step-by-step explanation:
22+9=31
Answer:
it is -13
Step-by-step explanation:
9-9-x=22-9 x=-13. 9-(-13)=22 brainliest please
PLEASE HELP ME!! I WILL GIVE A BRAINLIEST AND 30 POINTS:))))))
Answers
Answer:
(2,-2)
Step-by-step explanation:
Im pretty sure
What is an equation of the line that passes through the point (-6,-2)(−6,−2) and is parallel to the line 3x-2y=23x−2y=2
Answers
Answer:
y = 3/2x + 7
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is 3x - 2y = 2. First, let's put this into standard form.
3x - 2y = 2
Add 2y to both sides to make y positive.
3x = 2y + 2
Subtract 2 from both sides to isolate y.
3x - 2 = 2y
Isolate y further by dividing both sides by 2.
3/2x - 1 = y or y = 3/2x - 1
This is now your first line. Its slope is 3/2. A line parallel to this one will also have a slope of 3/2.
Plug this value (3/2) into your standard point-slope equation of y = mx + b.
y = 3/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-6, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 3/2(-6) + b
To find b, multiply the slope and the input of x (-6)
-2 = -9 + b
Now, add 9 to both sides to isolate b.
7 = b
Plug this into your standard equation.
y = 3/2x + 7
This equation is parallel to your given equation (y = 3/2x - 1) and contains point (-6, -2)
Hope this helps!