2 sin A = √3
=》sin A = √3/2
■ If sin A = √3/2, then A = 60° (trigonometric value)
So,
cot A = cot 60° = 1/√3
1 - cot²A / 2 cot A
= 1 - (1/√3)² / 2*(1/√3)
= 1 - (1/3) / 2/√3
= 2/3 / 2/√3
= 2/3 / 2√3/3
Cancel out the 3 in the denominator.
= 2/2√3
= 1/√3
1 - cot²A / 2 cot A = 1/√3
_____
● See the attachment for the trigonometric values.
Hope it helps ⚜
Answer:
√3/3Step-by-step explanation:
2 sinA = √3 ⇒ sinA = √3/2Rewrite as:
(1 - cot²A)/2cotA = (1 - cos²A/sin²A)/(2cosA/sinA) = sinA[(sin²A - cos²A)/sin²A] / (2cosA) =(2sin²A - 1)/(2sinAcosA) = (2sin²A - 1)/[2sinA√(1 - sin²A)]Substitute the value of sinA:
(2(√3/2)² - 1) / [√3 √{1 - (√3/2)²)] =(3/2 - 1)/[√3√(1/4)] =(1/2) /(√3/2) = 1/√3 = √3/3Evaluate the expression when b= -4 and c=6. -4c+ b
Answer:
-4 x 6 + -4
-24 + -4
-28.. is your answer mark me brainlist bro plz
Answer:
-28
Step-by-step explanation:
-4(6)+(-4)
-24+(-4)
-28
I need answers to these questions
Answer is in the attached file...
The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.
Answer:
Step-by-step explanation:
Formula
tn = a1 + (n-1)* d
Givens
tn = 67 (it is the last term or the nth term
n = 10
a1 = 4
find d
Solution
67 = 4 + (10 - 1)*d
67 = 4 + 9*d Subtract 4 from both sides
67 - 4 = 9d
63 = 9d Divide by 9
63/9 = 9d/9
7 = d
Remark: This is a fundamental application of the arithmetic sequence. You pretty much have to know how to juggle it's parts.
Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function models the total cost, C(x), of renting a car for x miles?
Answer:
[tex]c = 0.35 x + 24[/tex]
Step-by-step explanation:
First, let's go over the information we have. We know that no matter what, Dr. W Sweet will charge a base fee of $24, and that for each additional mile, he will charge 35¢. Now let's make an equation reflecting this information:
cost = 35¢ (number of miles) + $24 (starting fee)
We can also write this like this:
[tex]c = 0.35x + 24[/tex]
If you want to test this equation, put in a value for the x variable, like so:
Value: 25 miles
[tex]c = 0.35(25) + 24 \\ c = 8.75 + 24 \\ c = 32.75[/tex]
For this situation, the cost will be $32.75. I hope this helps! If you have questions, comment on this response, I should write back reasonably quickly.
In which quadrant does the graph of the sum of
(-3 – 5i) and (2 + 4i) lie?
Answer:
Third quadrant
Step-by-step explanation:
The complex and real parts can be added separately:
(-3 - 5i) + (2 + 4i) = -1 -i
This shows that the sum would be in the third quadrant of the complex plane as there is negative real and negative imaginary parts.
Which of the following is a required deduction?
A. Health insurance
B. Disability insurance
C. FICA
D. State sales tax
To withhold a percentage of an employee's wages or salary and contribute an equal amount to these programs.FICA s a required deduction. Thus, option C is correct.
What is the FICA?FICA (Federal Insurance Contributions Act) is a required deduction that includes Social Security and Medicare taxes for employees in the United States.
Health insurance and disability insurance may be offered by employers but are not required by law to be deducted from an employee's paycheck.
The current FICA tax rate is 7.65%, which includes a 6.2% Social Security tax and a 1.45% Medicare tax.
State sales tax is not a deduction from an employee's paycheck. It is a tax paid by consumers on purchases they make.
Therefore, FICA s a required deduction.
Learn more about FICA here:
https://brainly.com/question/14208089
#SPJ1
Domain and Range of a linear function
Answer:
domain is the lenght of the road (in miles)
range is the number of days
Step-by-step explanation:
domain is the input because there building the road that is the input because the number of days is the output (range) because that is what happens from working on the roads (the input) what come out is the days they worked on the road
What is the length of side b?
Thank u
How many meters are in 28% of 15 km?
Explanation Please with proportions.
I will reward the brainiest
Answer:
4200
Step-by-step explanation:
Answer: 4,200 meters
Step-by-step explanation:
[tex]\frac{28}{100} * 15 = 4.2 km = 4200 m[/tex]
If f (x) = 7+2x and g(x) =5x -2, find f (7)
Answer:f=103.444
Step-by-step explanation:
took this test and got an A++
The value of the function [tex]f(x)=7+2x[/tex] for [tex]f(7)[/tex] is 21.
The given functions are [tex]f(x)=7+2x[/tex] and [tex]g(x)=5x-2[/tex].
Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
To find [tex]f(7)[/tex], substitute [tex]x=7[/tex] in [tex]f(x)=7+2x[/tex], we get
[tex]f(7)=7+2(7)[/tex]
[tex]f(7)=21[/tex]
Therefore, the value of the function [tex]f(x)=7+2x[/tex] for [tex]f(7)[/tex] is 21.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ4
1 mi = 1.6 km
How many miles are in 39.2 kilometers?
Answer:
24.35775
Step-by-step explanation:
Ty for points xd
Answer:
24.35 miles
Step-by-step explanation:
just divide 39.2 by 1.6
10+4.5m=21.25
Solve for M
Answer:
m = 2.5Step-by-step explanation:
10 + 4.5m = 21.25=> 4.5m = 21.25 - 10=> 4.5m = 11.25=> m = 11.25/4.5=> m = 2.5Conclusion:
Therefore, m = 2.5
Hoped this helped.
[tex]GeniusUser[/tex]
Write the equation of the line graphed below in the form y = mx + b
Answer:
y= -1/4x + 2
Step-by-step explanation:
so basicly find the slope first which is "m"
to do that do rise/run or do y2-y1/x2-x1
rise over un in this case is -1/4
slope is negative so its -1/4 = m
that find y intercept which is "b"
in this case its 2
then put it in formula
y=mx+b
y= -1/4x + 2
The point (-5,0) is plotted on a coordinate plane.
What is the point of reflection when (-5,0) is reflected across the y-axis?
A-(0,5)
B-(-5,0)
C-(0,-5)
D-(5,0)
[tex]\huge\boxed{Hello! :)}[/tex]
We plot the point (-5,0) on the coordinate plane.
Then, we reflect it over the y-axis.
Remember the rule:
If a point has coordinates (x, y), and the point is reflected over the y-axis, the new point's coordinates are: (-x,y)Let's use this rule now.
We reflect (-5,0) over the y-axis.
(-5,0)
The new point is: (5,0)
[tex]\huge\boxed{(5,0) \: is \: the \: answer. :)}[/tex]
(Option D)
[tex]\boxed{Felicitous\: Girlie\: here\: to\: help}[/tex]
regular price: $225.75
Precent of discount: 30%
Answer:
$156.63
Step-by-step explanation:
223.75 - (223.75 x .3) = 156.625
Ok here’s another question
Answer:
20 necklaces
Step-by-step explanation:
If Elizebeth is starting off w/10 necklaces we can find on the graph that $10 buys an additional 10 necklaces. Now knowing that information we can add 10 necklaces to our original necklaces and get 20 necklaces. We can also find that our unit rate of change is 10 dollars : 10 necklaces or 1 dollar : 1 necklace. Knowing this can help us solve future problems like how many necklaces can Elizebeth get for x dollars.
PLEASE, LAST POINTS! ( GIVING BRAINLIEST) TO GET BRAINLIEST ANSWER 6 and 8 PLEASE. LAST 10 POINTS!
Answer:
6; 6⁒2
10; 10⁒2
0; 3(0)+3
1; 3(1)+3
2; 3(2)+3
3; 3(3)+3
4; 3(4)+3
Step-by-step explanation:
each line is in order.
Answer:
6. inputs: 2, 6, 10
8. inputs: 0, 1, 2, 3, 4
Step-by-step explanation:
Use your knowledge of arithmetic facts.
6.x = 2, 2÷2 = 1
x = 6, 6÷2 = 3
x = 10, 10÷2 = 5
__
8.x = 0, 3×0 +3 = 3
x = 1, 3×1 +3 = 6
x = 2, 3×2 +3 = 9
x = 3, 3×3 +3 = 12
x = 4, 3×4 +3 = 15
Need help ASAP!!! Use the function below to find the stuff in the picture!!!
Answer: B. 1/9
Step-by-step explanation:
Plug in -2 to the ^x
f(x) = 3^-2
3^-2 = 0.111111111111
0.1111111111 = 1/9
Correct me if I am incorrect.
Find the value of
-12
20
36
-10
Answer:
20 is the answer.Step-by-step explanation:
(-4)² + (-2)²=> 16 + 4=> 20Conclusion:
Therefore, 20 is the answer.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Option B
Please answer this ASAP
Solve for x.
2x−4=6−3x
A: x= -0.4
B: x= 2
C: x= -2
D: x= 0.4
Answer:
x = 2
Step-by-step explanation:
First, let's write out our equation:
[tex]2x-4=6-3x[/tex]
I want to isolate x on one side, so first, I'll add 4 to both sides to remove the -4 from next to 2x:
[tex]2x-4+4=6-3x+4\\2x=-3x + 10[/tex]
Notice that I combined like terms with the -4 and 4 (to get 0) and the 6 and 4 on the right side (to get 10). Next, I'll add 3x to both sides:
[tex]2x + 3x = -3x + 3x + 10[/tex]
And then I'll add like terms:
[tex]5x=10[/tex]
Now, all we have to do is divide both sides by 5:
[tex]5x/5=10/5\\x=2[/tex]
And there's our answer. Hopefully that's helpful! :)
crisps
normal price £1.43
three for the price of two
what is the total of 6 packets
Answer:
3 packs equal the price of two, therefore 1.43•2= 2.86
and 6 packs equal the price of 4, so 2.86•2= 5.72
Evaluate the expression when b=5 and y=-2. b-8y
Lary works in a automobile company. They just shipped out 5 brand new cars. The total cost of these cars was $1,067,800. If they all cost the same amount,what was the price of each car ?
She your work.
Part G Compare this activity tracker & with the calorie calculator you used in part A. Imagine that a company hires you to make an online tool that uses the best features of each calculator to give users an accurate sense of their physical activity and energy expenditure. What features would you use from each calculator? How would your calculator work?
Answer:
The physical activity calculator helps calculate minutes of activity and breaks down the types of activities performed every week. The calorie calculator doesn’t keep track of all activities. However, it calculates calorie expenditure. A new calculator might be a combination of the two calculators. It’d be a two-step process. People would be able to enter their age, gender, weight, height, and any medical factors so that they can ensure that their calorie calculations are accurate. Then, they’d be able to track the calories expended each day for a week by adding their activities for the whole day, from sitting to exercising. This information would give them an accurate portrayal of calorie expenditure and estimated caloric requirement.
exact answer
Step-by-step explanation:
Answer:
by seeing how the things they are doing and effecting them and then calulating them to add them up so i can see the amount of thier activity caused them to decrease or increase themselfs
Step-by-step explanation:
own explaination just incase teacher does suspect the answer
to be copied :)
write the equation of the line in fully simplified slope-intercept form
Answer:
y=1/2x+8
Step-by-step explanation:
grab 2 points in this case (4,10) and (0,8)
use rise over run formula so it rises 2 and goes over 4
so 2/4 then simplify and you get 1/2
and the y intercept is 8 because thats when the slope touches the y line
so using the equation y=mx+b when m is slope and b is y interecpt
the answer should be y=1/2x+8
Answer:
y=2x+8
Step-by-step explanation:
8=b m=y_ý/x_x`=2
y=ax+b
y=2x+8
whats the rate of change
Divide 6.72 by 0.041 and round to the nearest hundredth
Answer: 163.90
Step-by-step explanation:
What is an equation of the line that passes through the points (3,4) and (-4, -3)?
Answer:
y=x+1
Step-by-step explanation:
1) Find the slope
m=-3-4/-4-3
m=-7/-7
m=1
2) Use y=mx+c
by using the point (3,4)
4=1(3)+c
4=3+c
c=1
3) The answer
y=x+1
A. In a complete sentence, describe the angle relationship in the diagram. B. Find the value of x
Answer:
x = 30
Step-by-step explanation:
a) The sum of the angles along the line is 180°. That means ...
2x° +90° +x° = 180°
__
b) Subtracting 90° and dividing by 3° gives ...
3x° = 90°
x = 30
Answer:
a) supplamentary angles b) X= 30
Step-by-step explanation:
A) Equal to 180 b) 90 divided by 3 gives you 30
3’2x (8-5)
6’2+(4x3)
42-(14-12)
Answer:
1. 27
2. 48
3. 40
Step-by-step explanation:
3 to the power of 2 is 9 (3×3)
9×3=27. (8-5=3)
6 to the power of 2 is 36 (6×6)
36+12=48. (4×3=12)
42-2=40