Answers
Answer:
[tex]x = \sqrt 6[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find x
Considering angle 30 degrees,
[tex]Opposite = \sqrt{2[/tex]
[tex]Adjacent = x[/tex]
Using the tangent formula:
[tex]tan\ 30 = \frac{\sqrt 2}{x}[/tex]
Make x the subject
[tex]x = \frac{\sqrt 2}{tan\ 30}[/tex]
[tex]x = \frac{\sqrt 2}{1/\sqrt 3}[/tex]
[tex]x = \sqrt 2 * \sqrt 3[/tex]
[tex]x = \sqrt 6[/tex]
Related Questions
Find the quotients. 25÷34 94÷-34 -57÷-13 -53÷16
Answers
Answer:
25 ÷ 34 = 25/3494 ÷ -34 = - 94/34 = -2 28/34 = -2 14/17-57 ÷ -13 = 57/13 = 4 5/13-53 ÷ 16 = - 53/16 = -3 5/16Given: f(x) = 8x4 + 2x3 – x + 3 and g(x) = -5x3 + 7x + 2
Simplify: f(x) + g(x)
Answers
Answer:
Step-by-step explanation:
[tex]8x^4+2x^3-x+3-5x^3+7x+2\\ \\ 8x^4-3x^3+6x+5[/tex]
I give brainlyiest or however you spell it lol. And PLZ HELP ME
Answers
Answer:
brainliest also gimmie a sec to figure it out
Step-by-step explanation:
Answer:
Put 2 dots in the spot above 9 by clicking on the space above the numbers. Put 3 above 10. Put 2 above 11. Put 2 above 12.
find the area of the triangle:
Answers
Answer:
its 105
Step-by-step explanation:
Solve for x and find the missing side length...
Answers
Answer:
The answer at the letter 90
Which of the following is an advantage of using stratified random sampling?
A-Stratified random sampling saves time and money.
B-Stratified random sampling requires knowledge of the entire population.
C-Stratified random sampling can be used even when there is not a list of the population
D-Stratified random sampling provides more precise estimates than simple random sampling.
Answers
Answer:
A - Stratified random sampling reduces sampling variability.
Step-by-step explanation:
saw it on the review
A flight with 104 passengers takes off at 1:15. The plane travels 560 miles in 1 hour. At that speed, how far will the plane travel in 3 hours? What information is needed to answer the question?
Answers
Answer:
To find how far the plane will travel, we need the time and length it traveled previously to form the MPH (miles per hour)
Using this information we can make an equation
560/1 = 560 miles in 1 Hour
x/3 = X miles in 3 Hours
560/1 = X/3
X= 1680
Step-by-step explanation:
Is the relation shown in the arrow diagram a function? Explain.
Answers
Answer:
D, no the input 3 has 2 outputs
Step-by-step explanation:
Something can be described as a function if there is only 1 of each number in the input or x.
What is –9.2(8x – 4) + 0.7(2 + 6.3x) simplified?
–69.19x – 32.39
–69.19x + 38.2
–72.2x + 41.21
75x – 338.2
Answers
Answer:
–69.19x + 38.2
Step-by-step explanation:
-9.2(8x - 4) + 0.7(2 + 6.3x)....distribute thru the parenthesis
-73.6x + 36.8 + 1.4 + 4.41x ...combine like terms
(-73.6x + 4.41x) + (36.8 + 1.4) =
-69.19 + 38.2 <====
hope it helps!!
tell me if I got it wrong
Answer:
–69.19x + 38.2
Step-by-step explanation:
how many odd positive integers greater than 50 and less than 140 are there?
Answers
Step-by-step explanation:
there are 45 odd numbers
Answer:
45
Step-by-step explanation:
to figure this out, lets first subtract 50 from 140 so we can start at 0, it will be easier to calculate and we will get the same result
140 - 50 = 90
then since theres 1 odd intager for every even intager in an even set of numbers, we can divide 90 by 2 to get the amount of odd intagers
90 / 2 = 45
if you start at 0, 50, or even 5 million, as long as the difference between the two thresholds stay the same, you will get the same result
An airplane is flying overhead at a constant elevation of 405 ft. A person is viewing the plane from a position 3040 ft from the base of a radio tower. The airplane is flying horizontally away from the person. If the plane is flying at the rate of 640 ft/s, at what rate is the distance between the person and the plane increasing when the plane passes over the radio tower? At the moment the plane passes over the tower, the distance between the person and plane is changing at a rate of ________ft/s
Answers
Answer:
δL/δt = 634,38 ft/s
Step-by-step explanation:
A right triangle is shaped by ( y = distance between aircraft and ground which is constant and equal to 405 f ) a person who is at ground level 3040 f away from the tower distance x = 3040 f and the line between the aircraft and the person. Then we can use Pythagoras theorem and write
L ( distance between aircraft and person )
L² = x² + y² or L² = x² + (405)²
Taken partial derivatives with respect to t we get:
2*L*δL/δt = 2*x*δx/t + 0
Then L*δL/δt = x*δx/dt
At the moment of the aircraft passing over the tower
x = 3040 ft δx/δt = 640 ft/s and L = √ ( 3040)² + (405)²
So L = √9241600 + 164025 L = √9405625 L ≈3066,9 ft
Then:
δL/δt = 3040*640/ 3066,9 units [ ft * ft/s / ft ] ft/s
δL/δt = 634,38 ft/s
A mirror is shaped like a parabolic curve with a width of 3 inches when the depth is 0.375 inches. Which equation
can be used to model the shape of the mirror?
Answers
Answer: it's A
Step-by-step explanation:
y= 1/6x^2
i sacrificed my grade for u lol :/
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
-5x + 26 = -44
Answers
Answer:
14
Step-by-step explanation:
-5x+26=-44
-26 -26
-5x=-70
5 5
x=14
Answer:
x=14
Step-by-step explanation:
Let's solve your equation step-by-step.
−5x+26=−44
Step 1: Subtract 26 from both sides.
−5x+26−26=−44−26
−5x=−70
Step 2: Divide both sides by -5.
−5x−5=−70−5x=14
Answer:
x=14
Problem 2
Label the diagrams that show these two methods for calculating 19x50
Answers
Suppose that there are 630 seats in a row. If the person to be seated is needed to sit next to someone, then what is the fewest number of seats that need to be occupied?
Answers
Answer:
Its 210
Step-by-step explanation:
An account with an initial balance of $4000 earns 6.5% interest for 5 years.
What is the ending balance?
Enter your answer in the box.
Answers
The ending balance is $5,480.
Given that,
The initial balance is $4,000.The rate of interest is 6.5%.And, the time period is 5 years.Based on the above information, the calculation is as follows:
[tex]= \$4,000 \times (1 + 0.065)^5[/tex]
= $5,480
Therefore, the ending balance is $5,480.
Learn more: brainly.com/question/16115373
Answer: Hi, the ending balance is 5,300
Step-by-step explanation:
I took the test and got an 100. Hope this helps!
A mass weighing 9 lb stretches a spring 1.5 in. The mass is displaced 5 inch in the downward direction from its equilibrium position and released with no initial velocity. Assuming that there is no damping, and that the mass is acted on by an external force of 5 cos(6t) lb, solve the initial value problem describing the motion of the mass. For this problem, please remember to use English units: ft, lb, sec.
Answers
Answer:
[tex]9u" + 2304u = 160cos(6t)[/tex]
[tex]u(0) = \frac{5}{12}ft[/tex] and [tex]u'(0) =0[/tex]
Step-by-step explanation:
Given
[tex]w =9lb[/tex] --- weight
[tex]L = 1.5in[/tex] --- stretch
[tex]u(0) =5in[/tex] --- initial position
[tex]u'(0) =0[/tex] --- initial velocity
[tex]\gamma =0\ lbs/ft[/tex] --- no damping
[tex]F(t) = 5cos(6t)\ lb[/tex] -- External force
Required
Solve the initial value problem
The initial value problem is calculated using:
[tex]mu" + ku = F(t)[/tex]
First, convert all lengths to ft
[tex]L = 1.5in[/tex]
[tex]L = \frac{1.5}{12}ft[/tex]
[tex]L = \frac{1}{8}ft[/tex]
[tex]u(0) =5in[/tex]
[tex]u(0) = \frac{5}{12}ft[/tex]
Weight is calculated as:
[tex]w = mg[/tex] and [tex]w = kL[/tex]
Where
[tex]g = 32fts^{-1}[/tex]
Make m the subject in [tex]w = mg[/tex]
[tex]m = \frac{w}{g}[/tex]
[tex]m = \frac{9}{32}[/tex]
Make k the subject in [tex]w = kL[/tex]
[tex]k = \frac{w}{L}[/tex]
[tex]k = \frac{9}{1/8}[/tex]
[tex]k = 72[/tex]
Recall that: [tex]mu" + ku = F(t)[/tex]
[tex]\frac{9}{32}u" + 72u = 5cos(6t)[/tex]
Multiply through by 32
[tex]9u" + 2304u = 160cos(6t)[/tex]
[tex]u(0) = \frac{5}{12}ft[/tex] and [tex]u'(0) =0[/tex]
One day of the week is selected at random. To the nearest tenth of percent, what is the probability that the chosen day is Saturday A: 28.5 B: 50.0 C: 14.3 D: 85.7
Answers
Answer:
C
Step-by-step explanation:
=1/7 X 100
=14.3
I hope this helps a bit
Please solve for X.
52–r= 5-42
Answers
Answer:
-89
Step-by-step explanation:
What is the measure of AC? Thanks!!
Answers
Answer:
arc AC = 21 degrees
Step-by-step explanation:
2(3x-1.5) = 3x+9
6x-3 = 3x+9
3x = 12
x = 4
arc AC = 3(4) + 9 = 21
Malala is following this recipe for bread rolls.
She uses 300 g of flour.
How much of the other ingredients does she use?
Recipe: Makes 12 bread rolls
400 g flour
6 g salt
12 g yeast
48 mL oil
360 mL water
Answers
Answer:
When she uses 300g of flour
She will uses: 4.5 g salt
9 g yeast
36 ml oil
270 ml water
And she will make 9 bread rolls
Laura says her triangle has angle measures of 100 degrees, 88 degrees , and 72 degrees she correct? Explain
Answers
Answer: because shes right
Step-by-step explanation:
Answer
CAN YALL PLEASE EXPLAIN
Step-by-step explanation:
Joanna is reading a storybook. The ratio of the number of pages she read to
the pages that remain to be read is 7:3. If the book contains 500 pages in all,
how many pages did Joanna read and how many pages remain to be read?
Answers
Answer:
The amount of pages that remain to be read is 150 pages
Step-by-step explanation:
Okay if we know it's in 7:3 ratio we can easily add them both to get 10, then divide 10 by 500 to get 50. SO we now know that 50 is 1 unit and since the ratio says 3 units is the answer, we multiply 50 by 3 to get 150.
The sum of two numbers is 23. Twice one number increased by 6 is the same as 4 times the other number decreased by 2. What is the largest of the two numbers?
Answers
Answer:
One number is 4.2, the other is 18.8
Step-by-step explanation:
1.) x+y=23
(x+6y)x2=4
2.) (x+6y)x2=4 = 2x+12y=4
3.)Use elimination/substitution to solve
2x+12y=4 = x+6y=2 = x=2-6y
2-6y+y=23
4.)Solve for y
2-5y=23 -> -5y=21 -> y=4.2.
5.)Solve for x
x+4.2=23
x=18.8
I may be wrong so let me know if I am
Which statement best describes the effect on an image when it is reflected over the x-axis?
A The image will reflect left or right, and the x-value will become Its opposite.
B The Image will reflect left or right, and the y-value will become Its opposite.
C The image will reflect up or down, and the x-value will become its opposite.
D The image will reflect up or down, and the y-value will become its opposite.
#6
A
Answers
Answer:
D. The image will reflect up or down, and the y-value will become it's opposite
1/2r-8=5 solve for r
Answers
Step-by-step explanation:
r-16=10
r=10+16
r=26
I hope this helps.
Answer:
r = 26
Step-by-step explanation:
For a survey, a company manager assigned a number to each of the
company's 500 employees, and put the numbers in a bag. The manager
chose 20 numbers and surveyed the employees with those numbers. Did
the manager choose a random sample?
Answers
33nb;s;dvkjlifysillgbsluipgbvfrwpiyv;tr vwis
What expression is eqivalent to 3 x + 2 (x - 1) -4? Answer
Answers
Answer:
The answer is 5x - 6
Pls mark as brainliest
maybe 5x -6
3 x + 2 (x - 1) -4
= 3x + 2x - 2 - 4
= 5x - 6
PLEASE HELP ME I HAVE LESS THAN 30 MINS TO FINISH
Answers
Answer:
abigail
Step-by-step explanation:
The probability of rolling a 6 is 1/6, so you multiply by 100 to get how many times they should get a 6 and get 16.667, which abigail is the closest to
what’s the initial value?