Answers
Hi there!
[tex]\large\boxed{tan\text{ } (\frac{-\pi }{6})}[/tex]
**Recall that tangent is Opposite / Adjacent**
tan (5π / 6) according to the unit circle equals -1 / √3. We can go through each choice and eliminate:
tan (-5π / 6) is in the third quadrant which would mean that the value would be positive 1 / √3. This choice is incorrect. tan (7π / 6) is the same as tan (-5π / 6), which is positive 1 / √3. This choice is incorrect.cot (5π / 6) is the reciprocal of tan 5π / 6, which is incorrect.tan (-π / 6) is equal to -1 / √3. This choice is correct.Therefore, the correct choice is tan (-π / 6).
Related Questions
Find the direction of AB where A(3,0) and B(4,1).
Answers
Answer:
Required Answer:-A (3,0)B (4,1)[tex]{:}\longrightarrow[/tex][tex]\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {(4-1)^2+(1-0)^2}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {(3)^2+(1)^2}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {9+1}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf AB=\sqrt {10}[/tex]
A rectangular lawn 4m by 10m has a garden of uniform width added to one end. Then, along the combined side length of the lawn and garden , another garden is added, whose width is twice that of garden . The total area of the lawn and both gardens is 72 m2
Answers
Answer and explanation:
A rectangle's width is longer than the length
And so given a rectangular lawn 4m by 10m,
the width of the lawn= 10m
the length of the lawn= 4m
If a garden of uniform width is added, then garden's width = 10m
The garden of uniform width is added to the width side of the rectangular lawn( since along the combined side length of the lawn and garden, another garden is added)
The garden added to the combined side length of the lawn and garden has width twice that of the garden = 2*10= 20m
Given that total area of the lawn and two gardens = 72m²
Total area of lawn and 2 gardens(Area of rectangle(lawn+2 garden's)) is length * width
= 4*10+ 10*x+ 20*y=72
Therefore equation for total area of lawn and both gardens is 40+10x+20y=72
Where x is length of second garden attached to the width side of the lawn and y is length of the garden attached to the combined length side of the lawn and first garden
x can be solved
40+10x+20y=72
10x+20y=72-40
10x+20y=32
10x=32-20y
x=32-20y/10
Y can be solved
40+10x+20y=72
10x+20y=72-40
10x+20y=32
20y=32-10x
y=32-10x/20
PLEASE HELP
Alex wants to paint one side of his skateboard ramp with glow-in-the-dark paint, but he needs to know how much area he is painting. Calculate the area of the isosceles trapezoid.
140 ft2
160 ft2
180 ft2
200 ft2
Answers
Answer:
D.) 200ft²
Step-by-step explanation:
The formula for the area of a trapezoid:
[tex]A=\frac{1}{2} (b_{1}+b_{2})h[/tex]
where:
[tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the basesh is the heightInsert the given values:
[tex]A=\frac{1}{2}(16+24)*10[/tex]
Simplify the equation using PEMDAS. Simplify parentheses:
[tex]A=\frac{1}{2}*40*10[/tex]
Simplify multiplication:
[tex]A=\frac{1}{2}* 400[/tex]
Simplify multiplication. Use the rule [tex]\frac{a}{b}*c=\frac{ac}{b}[/tex] :
[tex]A=\frac{1*400}{2}\\\\A=\frac{400}{2}[/tex]
Simplify division:
[tex]A=200[/tex]
The area is 200ft²
:Done
Carl spent $140 in six days. He spent $20 on the first day. He spent the same amount of money during the next five days Helpppp! 100 POINTS
Answers
Answer:
He spent $24
Step-by-step explanation:
it is 24
hope it helps
What is the amount of discount?
Answers
Answer:
$3.75
Step-by-step explanation:
give brainliest please
Find the greatest common factor (GCF) for each number set. 56,63
1. 1
2. 6
3. 7
Answers
Alice needs twice as many yards of ribbon as Quincy. how many rolls of ribbon does Alice need? explain your answer i like your cut g
Answers
Answer: Twice the length of 322 yards is 644. If I divide by 15 I get 42 r14. Alice needs to buy 43 rolls of ribbon. I like your cut G !
Step-by-step explanation:
PLEASE HELP!!!!! 2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)? 30 points if you can help
Answers
Answer:
22 units.
Step-by-step explanation:
We want to find the perimeter of the polygon with vertices at: (-3, 1); (5, 1); (-3, 4); and (5, 4).
Let’s first plot the points and see what polygon we acquire. Please refer to the graph below.
As we can see, when plotting the points and connecting them, we get a rectangle.
So, we can use the perimeter formula for a rectangle, given by:
[tex]P=2(\ell+w)[/tex]
Where [tex]\ell[/tex] Is the length and [tex]w[/tex] is width.
Remember that the perimeter is simply the distance around the figure.
So, let’s find the length. We can do so by counting or by subtracting.
By counting, we can see that the length (longer side) is 8 units.
And by subtracting, we get the same length of |5-(-3)| or 8 units.
We use absolute value because distance is always positive.
Using the same process, we find the width to be 3 units.
Using subtract, we can see that this is indeed true as |1-4|=3.
So, we can now substitute the values into our formula:
[tex]P=2(8+3)[/tex]
Evaluate:
[tex]P=2(8+3)=2(11)=22\text{ units}[/tex]
So, the perimeter of the polygon is 22 units.
1. The Table shows ticket prices for a concert. Child Student Adult Cost Purchased in Advance $6 $12 $18 Cost Purchased at the door $8 $15 $22 a. What is the average student ticket price? b. What is the average for a ticket purchased at the door? c. would adding the rows provide any meaningful information?
Answers
Answer : Its $15
Step-by-step explanation:
Because thats the average price for a student.
I know its correct!!!
Need answer for this please.
Answers
Answer:
y= - 5x+40
Step-by-step explanation:
I graphed this out. Remember that in parallel lines, the slopes are always the same.
y-2=-(x-7) slope intercept form
Answers
Answer:
y= -x+9
Step-by-step explanation:
PLEASE MARK BRAINLIESTThe two sides of a triangular park enclosing the right angle
are 200m and 150m. What would be the area of the park?
Answers
Step-by-step explanation:
could you please mark me as the brainliest answer
Step-by-step explanation:
The sides enclosing the right angle are the perpendicular and the base of the right angled triangle.
Then the area of the triangle will be
2
1
×150×200=15,000 m
2
.
A total of 2000 people attended a benefit concert was held to raise money for a children foundation. Student ticket cost $2 and an adult ticket cost $3. If the organizer raises a total of $5050, how many students attended the concert?
Answers
Answer:
257 kids
Step-by-step explanation:
Evaluate each function at the given value
f(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13 at n = - 2
Answers
Answer:
7Step-by-step explanation:
Givenf(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13To find f(-2)SolutionSubstituting n with -2
f(-2) = (-2)^4 + 5(-2)^3 + 2(-2)^2 - 5(-2) + 13 =16 - 40 + 8 + 10 + 13 = 7Find the recursive rule, explicit rule, and f(20)
Answers
Answer:
Recursive:
[tex]f(1)=35, f(n)=f(n-1)+10[/tex]
Explicit:
[tex]f(n)=35+10(n-1)[/tex]
And the 20th term is 225.
Step-by-step explanation:
We have the sequence:
35, 45, 55, 65.
Notice that each subsequent term is 10 more than the previous term.
Therefore, our common difference is (+)10.
Recursive Rule:
The standard format for the recursive rule is:
[tex]f(n)=a, f(n)=f(n-1)+d[/tex]
Where a is the initial term and d is the common difference.
From our sequence, we know that a the initial term is 35.
And as determined, our common difference d is 10.
Substitute. Hence, our recursive rule is:
[tex]f(1)=35, f(n)=f(n-1)+10[/tex]
Explicit Rule:
The standard format for the explicit rule is:
[tex]f(n)=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:
[tex]f(n)=35+10(n-1)[/tex]
Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:
[tex]f(20)=35+10(20-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(20)&=35+10(19) \\ f(20)&=35+190 \\ f(20)&=225 \end{aligned}[/tex]
Hence, the 20th term is 225.
By 10 a.m., Andrew has read 85% of his emails he received on Tuesday. If Andrew received 40 emails, how many emails has he read so far?
Answers
Answer: 35
Step-by-step explanation: 85% of 40 basically you multiply 0.85 by 40 :)
i need it within tomorrow please
Consider the following sequence of successive numbers of the 2k
-th power:
1, 2
2
k
, 3
2
k
, 4
2
k
, 5
2
k
, ...
Show that the difference between the numbers in this sequence is odd for all k ∈ N.
Answers
Any even number raised to any power will remain even. (e.g. 2² = 4, 2³ = 8, etc)
Any odd number raised to any power will remain odd. (e.g. 1² = 1³ = ... = 1, 3⁴ = 81, etc)
So [tex](n+1)^{2^k}-n^{2^k}[/tex] will always be even, since both
[even] - [odd] = [odd]
and
[odd] - [even] = [odd]
what is the opposite of -(-15)
Answers
Answer:
-15
Step-by-step explanation:
Answer:
-15
Step-by-step explanation:
Its a positive in the first place bc of the two negatives beside each other so the opposite would be -15
A sociologist polled a random sample of people and asked them their age and annual income. The two-way frequency table below shows the results. Annual income vs. age group Less than $50,000 At least $50,000 Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132 Total 186 162 348 Which of the following statements is true of those polled? Choose 1 answer: А A person with an annual income of less than $50,000 is more likely to be 45 years old or above. B A person in the 44 and under age group is more likely to to have an annual income of at least $50,000
Answers
Answer:
C A person with an annual income of at least \$50{,}000$50,000dollar sign, 50, comma, 000 is more likely to be 454545 years old or above
A person in the 44 and under age group is more likely to have an annual income of at least $50,000 is a correct statement.
We have given that,
A sociologist polled a random sample of people and asked them their age and annual income.
What is the annual income?
annual income is the amount of money you receive during the year into your bank account, before any deductions.
The two-way frequency table below shows the results.
Annual income vs. age group Less than $50,000 At least $50,000
Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132
Total 186 162 348
A person with an annual income of at least
[tex]=\$50000\\=$50,000dollar[/tex]
Therefore statement b is true.
A person in the 44 and under age group is more likely to have an annual income of at least $50,000.
To learn more about the annual income visit:
https://brainly.com/question/6070671
#SPJ2
Heyy, I REALLY need help on this
Answers
Answer:
ABC is a right angled triangle
BCD is also a right angled triangle
ABD is a scalene triangle
9514 1404 393
Answer:
∆ABC ~ ∆BDC ~ ∆ADB
Step-by-step explanation:
The given triangle is named using the largest acute angle vertex (A) first, followed by the right angle vertex (B), then the remaining vertex (C). Using that same order, the triangles, largest-to-smallest are ...
∆ABC ~ ∆BDC ~ ∆ADB
Evaluate 9/m + 4 when m = 3
Answers
Answer:
Step-by-step explanation:
9/3 = 3
3+4 = 7
The answer is 7!
Answer:
7
Step-by-step explanation:
First, plug in m.
9/3+4
Because this equation has multiple operations, we need to use the order of operations, aka PEMDAS. It stands for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. First in the order of operations that we have in this equation is multiplication/division. So, we need to divide 9/3 before adding.
9/3=3
The equation is now simplified to 3+4, which is 7.
Hope this helps! Have a great day :D
What is sin45°*sin30°*cos60°
Answers
Answer:
[tex]\frac{\sqrt{2} }{8}[/tex]
Step-by-step explanation:
Using the exact values of the given trig functions, then
sin45° × sin30° × cos60°
= [tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{\sqrt{2} }{8}[/tex]
To avoid a service fee, your checking account balance must be at least $400 at the end of each month. Your current balance is $432.993. You use your debit card to spend $119.86. What possible amounts can you deposit into your account by the end of the month to avoid paying the service fee?
Answers
Given :
To avoid a service fee, your checking account balance must be at least $400 at the end of each month.
Your current balance is $432.993.
You use your debit card to spend $119.86.
To Find :
What possible amounts can you deposit into your account by the end of the month to avoid paying the service fee.
Solution :
Amount left in the account :
A = $432.993 - $119.86
A = $313.133
Let, amount added is x.
So,
A + x ≥ 400
x + 313.133 ≥ 400
x ≥ 400 - 313.133
x ≥ 86.867
Therefore, possible amount needed is greater than or equal to $86.867 .
Hence, this is the required solution.
Joseph recently noticed that this time next year he will be twice as old as Jasmine. I couldn't help noticing that when I am 66 at this time of the year the combined future ages of Joseph and Jasmine will also be 66. Also, 6 years from now my future age will be a multiple of the sum of Joseph and Jasmine's future ages. Of course, all ages are non-negative integers. How old. are Joseph Jasmine, and I now?
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Need Answer ASAP ONLY 5 min.
Answers
Answer:
b is your answer hope it helps
Guys please help I'm being timed
Answers
Answer:
C
Step-by-step explanation:
whats the simflied for 6x-2(3x-4)
Answers
Answer:
No solution
Step-by-step explanation:
6x - 2(3x - 4)
Distribute;
6x - 6x + 8
0 ≠ 8
What is the amplitude of y = -8sin(3x)?
Answers
Answer:
for y=-8sin(3x)
Amplitude = 8
Answer:
8
Step-by-step explanation:
amplitude =8
|sin (3x)|≤1
so |-8 sin (3x)≤8
What equations are equal to 3x-12=24
Answers
PLZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Simplify the following expressions using the properties of exponents.
Use "^" to indicate exponents. For example, x^5 to represent x^5.
a.
(2^−4)^−4 divided by 24 x 22
b. This problem has been started for you. Finish simplifying the problem.
2a^−1×(4a^2)^−2 divided by 4a^0
=
2a^−1×4^−2 a^−4 divided by 4a ^0
=
2 divided by 4a^0xa^1x4^2 a^4
PLZZZZZZZZZZZZZZZZZZ SHOW WORK
Answers
Answer:
A. = 60074.6 (The 6 is repeating forever)
Step-by-step explanation:
May I have brainliest please? :)