Answers
Answer:
[tex] x = \frac{2*\sqrt{3}}{3} [/tex]
Step-by-step explanation:
Reference angle = 30°
Opposite side = x
Adjacent side = 2
Apply the tan trigonometric function, thus:
[tex] tan (30) = \frac{opp}{adj} [/tex]
[tex] tan (30) = \frac{x}{2} [/tex]
[tex] 2 * tan (30) = x [/tex]
[tex] 2 * \frac{1}{sqrt{3}} = x [/tex] (tan 30 = 1/√3)
[tex] \frac{2}{sqrt{3}} = x [/tex]
Rationalize
[tex] \frac{2* \sqrt{3}}{sqrt{3} * \sqrt{3}} = x [/tex]
[tex] \frac{2*\sqrt{3}}{3} = x [/tex]
Related Questions
Identify the range of the function shown in the graph.
Answers
Answer:
Identify the range of the function shown in the graph.
Answer:
range=(10, 8, 6, 4, 2, 0, -2, -4, -6, -8, -10)
What is the equation for g(x) =
I need help ASAP I WILL GIVE BRAINLIEST
Answers
Answer:
g(x) = math is a buncha bull :)
Step-by-step explanation:
A stainless steel patio heater is a square pyramid. The length of one side of the base is 23.6. in. The slant height of the pyramid is 90.9. in. What is the height of the pyramid?
Answers
Answer:
Step-by-step explanation:
The height of the heater is about 89.3 in.
You can solve this problem with the Pythagorean Theorem. The base is a square. So half way across the middle will the right under the tip of the pyramid. We can use the measurement with the slant height to write and solve the equation below.
23.8^2 + x^2 = 90.1^2
x will be about 89.3.
Mark brainliest please if the answer is correct
Cherry Avenue Park is in the shape of a rectangle. What is the area, in square
miles, of Cherry Avenue Park?
Answers
Answer: a rectangles area is length x width. You need to find the numbers that represent the length and the width and multiply them
Step-by-step explanation:
Bart uses 3/12 cup milk to make muffins. Write a fraction that is equivalent to 3/12 pls help out!
Answers
Answer:
1/4
Step-by-step explanation:
Hope that helps :)
What is the apparent solution to this system of equations?
(Write your answer as an ordered pair)
3
N
1
-2
2
3
5
- 1
-21
-5
Answers
A circle has a central angle of 6 radians that intersects an arc of length 14in
Answers
arclength/circumference=centralangle/2piradians
14/2pir=6/2pi
7/pir=3/pi
times pir both sides
7=3r
divide by 3 both sides
7/3=r
well,
um
the answer is B
A concave octagon
B convex quadrilateral
C concave quadrilateral
D convex octagon
Answers
Answer: concave
Step-by-step explanation:
a group of six friends went out fir dinner and equally split the dinner bill. if they each paid 24.70 what was the dinner bill?
Answers
6 * 24.70 = 148.20
The dinner bill in total was $148.20.
1. The cost of a fish dinner for a restaurant is $7.95. If they sell it for $11.95, what is the percent markup?
Answers
Answer:
the answer will be
50.3144 %
The pairs of numbers below represent the price of different
quantities of books at 4 stores.
Which pair of numbers represents a proportional relationship?
o 4 books for $24,8 books for $40
o 5 books for $25, 6 books for $36
o 2 books for $14, 5 books for $35
o 3 books for $15, 7 books for $28
Answers
Answer:
Option C: 2 books for $14, 5 books for $35
Step-by-step explanation:
A proportional relationship between two quantities would always have a constant of proportionality. Thus,
Constant of proportionality, k = y/x
In this case,
x = quantity of books
y = price
Let's see which pair will have a constant of proportionality:
Option A: 4 books for $24,8 books for $40
24/4 = 6;
40/8 = 5.
No constant of proportionality.
Option B: 5 books for $25, 6 books for $36
25/5 = 5
36/6 = 6
No constant of proportionality.
Option C: 2 books for $14, 5 books for $35
14/2 = 7
35/5 = 7
Constant of proportionality, k = 7.
This pair represents a proportional relationship.
Option D: 3 books for $15, 7 books for $28
15/3 = 5
28/7 = 4
No constant of proportionality.
Emily the blacksmith blends one alloy of silver that is 45% silver and another that is 95% silver. To the nearest ton, how much of each alloy is needed to make 139 tons of a 70% silver alloy?
please answer
Answers
Answer:
69.5 tons of Alloy 1 (of 45% silver) and 69.5 tons of Alloy 2 (of 95% silver) is needed to make 139 tons of 75% silver alloy
Step-by-step explanation:
Given
[tex]Alloy\ 1 = 45\%[/tex]
[tex]Alloy\ 2 = 95\%[/tex]
Required
How much of each alloy is needed for 70% silver alloy 139 tons
Let the amount of alloy 1 needed be x and the amount of 2 needed by y.
So:
[tex]x + y = 139[/tex]
Make y the subject
[tex]y = 139 - x[/tex]
The percentage of each needed is represented as:
[tex]45\% * x + 95\% * y = 139[/tex]
[tex]45\% * x + 95\% * y = 70\% * 139[/tex]
[tex]0.45x + 0.95y = 0.70 * 139[/tex]
[tex]0.45x + 0.95y = 97.3[/tex]
Substitute 139 - x for y in the above equations
[tex]0.45x + 0.95*(139-x) = 97.3[/tex]
[tex]0.45x + 0.95*139-0.95*x = 97.3[/tex]
[tex]0.45x + 132.05-0.95x = 97.3[/tex]
Collect Like Terms
[tex]0.45x -0.95x = 97.3-132.05[/tex]
[tex]-0.50x = -34.75[/tex]
Make x the subject
[tex]x = \frac{-34.75}{-0.50}[/tex]
[tex]x = 69.5[/tex]
Recall that:
[tex]y = 139 - x[/tex]
[tex]y = 139 - 69.5[/tex]
[tex]y = 69.5[/tex]
This implies that:
69.5 tons of Alloy 1 (of 45% silver) and 69.5 tons of Alloy 2 (of 95% silver) is needed to make 139 tons of 75% silver alloy
What value of x and y will make the polygon a parallelogram
105°
V
15x
Answers
Answer
60
Step-by-step explanation:
105+15= 120
180-120=60
I think this is the correct answer but I dont know
Explain how you would combine like terms and use properties of operations to solve the inequality 5(2t + 3) - 3t < 16
Answers
Step-by-step explanation:
step 1. 10t + 15 - 3t < 16 (distributive property)
step 2. 7t +15 < 16 (combine like terms)
step 3. 7t < 1 (subtract 15 from both sides)
step 4. t < 1/7 ( divide both sides by 7.
find the volume of the cylinder pictured below use 3.14 for pi give your answer rounded to the nearest tenth height 21ft diameter 10ft
Answers
Given:
Height of the cylinder = 21 ft
Dimeter of the cylinder = 10 ft
To find:
The volume of the cylinder.
Solution:
We have,
Dimeter of the cylinder = 10 ft
So, radius is half of diameter, i.e., 5 ft.
Volume of the cylinder is
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height.
Putting [tex]\pi=3.14[/tex], r=5 and h=21, we get
[tex]V=(3.14)(5)^2(21)[/tex]
[tex]V=(3.14)(25)(21)[/tex]
[tex]V=1648.5[/tex]
Therefore, the volume of the cylinder is 1648.5 cubic ft.
Why is the value of x to the nearest tenth?
Answers
Answer: 9.4
Step-by-step explanation:
If the points on a graph of a linear function are (-2,10 (0,4) (2,-2) and (4,8) what is the y-intercept
Answers
Answer:
i think 5
Step-by-step explanation:
Find the value of x
A.15
B.25
C.35
D.45
Answers
Answer:
B
Step-by-step explanation:
75% of something = 342
Need answer quick
Answers
This the answer 456
[tex]-(x+9)2=64[/tex]
Answers
(-x-9)2= 64
-2x-18= 64
+18. +18
-2x = 82
/-2. /-2
x= -41
What are the sine and cosine of 4pi/3?
Answers
Answer:
-0.479
Step-by-step explanation:
[tex]sin(cos(4 \frac{\pi}{3} ) = - sin( \frac{1}{2} ) = - 0.479[/tex]
Answer:
Answer is B : -1/2
Step-by-step explanation:
correct on edge
[tex]\frac{t}{7}= 13\\[/tex]
Answers
Answer:
91
Step-by-step explanation:
Step 1: Multiply both sides by 7. T/7 = 13 (t/7) = (13) x 7 t = 91
Nia recorded her science and math scores. The measures of center and variation for each score are shown in the table below.
Measures of Center and Variation
for Nia’s Science and Math Scores
Science
Math
Mean
64
58
Median
60
60
Mode
62
62
Range
8
50
Mean Absolute Deviation
2.4
14.4
Which inferences can be made when analyzing the data summary in the table? Select three choices.
Her mean science score is higher than her mean math score.
She prefers science over math.
There is more variation in her math scores.
Her science scores are more spread out than her math scores.
Her median scores are the same for each subject.
Answers
Answer:
1, 3, 5
You can tell by looking that her science mean is greater than her math mean.
The higher range number means that her scores in math are more varied and spread out than her science scores.
You can tell by looking that the median scores are the same.
Step-by-step explanation:
Answer:A , C , E
Step-by-step explanation:
i got it from the dude above me
The first step in analyzing a transaction is to determine:
O A. if the account balance will increase or decrease.
OB. the accounts that are involved.
O C. the type of accounts that are involved.
OD. which accounts are to be debited and credited.
Answers
Answer:
B. the accounts that are involved.
Step-by-step explanation:
Financial accounting is an accounting technique used for analyzing, summarizing and reporting of financial transactions like sales costs, purchase costs, payables and receivables of an organization using standard financial guidelines such as Generally Accepted Accounting Principles (GAAP). Examples of financial statements includes Balance sheet, cash-flow and income statement.
On the other hand, managerial accounting also known as cost accounting is an accounting technique focused on identification, measurement, analyzing, interpretation, and communication of financial information to managers for better decisions making and pursuit of the organization's goals.
The first step in analyzing a transaction is to determine the accounts that are involved. Since a company would have more than one transaction type, it is very important to determine what account is involved in the transaction process such as sales, purchase of inventory, payment of employee salaries and other types of expenses.
What is the domain of the function represented by the graph?
Answers
Answer:
It's either A or D.......
how do you know that the expression 2x + 4y is not equivalent to 6xy
Answers
Answer:
The expression is not equivalent because you cannot combine 2 variables that are different from eachother.
Step-by-step explanation:
you are able to add 2+4 but because they have variables with them, x and y, you can not add them together.
Tom buys 4 tickets for a concert. The total cost is $85,60. How much does he pay
for each ticket?
Answers
Answer:
$21.40 for each ticket
Step-by-step explanation:
Answer:
$21.1
Step-by-step explanation:
PLZ ANSWER QUICKLY! POINTTTSSS POINTTTSS! THX
If f(x) = 3(x + 4), find f(2).
729
243
81
18
Answers
Answer:
18
Step-by-step explanation:
We just substitute x
3(2+4)=6+12=18
Determine whether the sequence is geometric. If so, find the common ratio. 3.0, 6.0, 12.0, 24.0
Answers
Answer:
The sequence is geometric and the common ratio is 2
Step-by-step explanation:
A sequence is geometric if each term (after the first one) is equal to the term before it times some constant number, called the 'common ratio'.
Examples: 1, 2, 4, 8, 16, ... has a common ratio of 2 because 2*2 = 4, and 4*2 = 8, and so on.
Also, --> 4, 2, 1, 1/2, 1/4/ 1/8, ... has a common ratio of 1/2 because
4 * 1/2 = the next term 2, and 2 * 1/2 = the next trem 1/4, and son on.
In this case, 3 * 2 = 6
6 * 2 = 12
12 * 2 = 24
The sequence is geometric and the common ratio is 2
What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation. (-6,3) (12,6)
Answers
Answer:
6/1
Step-by-step explanation:
the difference between 12 and -6 is 18 and the difference between 6 and 3 is 3...18/3 is 6/1