Since the unit circle has a radius of 1 we know that r = 1 and that our angle is 60 degrees. Using sin and cos functions we can then find the x and y coordinates of point A. since [tex]cos(\alpha ) = \frac{x}{1}[/tex] and [tex]sin(\alpha ) = \frac{y}{1}[/tex] (where [tex]\alpha[/tex] = the angle)
[tex]A = (x,y) = (cos(a),sin(a))[/tex] because of the identity that cos(a) = x and sin(a) = y
Using the angle and the previously described identity we can find the coordinates with cos(60) = x = 1/2 and sin(60) = y = [tex]\frac{\sqrt{3} }{2}[/tex] to get A =(x,y) = [tex](\frac{1}{2},\frac{\sqrt{3} }{2})[/tex].
From here we can work backwards and find that BC = x = [tex]\frac{1}{2}[/tex] and that AC = y =[tex]\frac{\sqrt{3} }{2}[/tex] and finally we know that AB = r = 1 because it is a radius of the unit circle and must be 1.
-This probably isn't the way you were taught to solve this problem, but it is how we do it in physics and real-life.
If the height of a cone is 7.5 cm and the radius is 2 cm, find the approximate volume of the cone.
WILL MARK BRAINLIEST AND IS WORTH 100 POINTS
Answer:31
Step-by-step explanation:
Use properties to evaluate (-25) HIS O A. – 15 5 O B. 5 C. - OC. 15 O D. 1
Answer:
-15/4
Step-by-step explanation:
Answer: Its - 15/4 or 05/12 but the person above me is correct
Step-by-step explanation:
Can someone explain or help me with this?
Answer:
Step-by-step explanation:
6085 rounded to the nearest hundred is 6100
51,672 rounded to the nearest ten thousand is 50,000
Jin schedules 496 hours for a project. He plans to work 8 hours each day. How many days will it take to complete the project?
Answer:
62 days
Step-by-step explanation:
496/8 = 62
496/8=62
Hope this helps!
how can i solve this
Answer: Ill show you some not everything so u can try
Step-by-step explanation: for example 8+y=92
you can make a new problem...
move the 92...
92
subtract
92-
subtract the other number which isnt the variable
92-8
subtract and you get your answer!
Step-by-step explanation:
an equation means that whatever is on one side of the "=" sign is truly equal to whatever is on the other side.
it is like a balance.
you can change the content on one side of the balance, but then you have to make the same change on the other side of the balance. otherwise the balanced relation between both sides is destroyed. and it is no longer an equation.
for the same reason, you can perform any mathematical operation on an equation, as long as you do it simultaneously on both sides.
all these equations are equations with one variable.
so, if we find a way to bring all terms with the variable to one side, and everything else (typically constant numbers) to the other side, while still maintaining the equation relation, then we can solve this by saying "this is only an equation, if the variable has this is that value".
and that is the whole trick.
so, for e.g. t + 3 = 5, how can we get only the variable on one side ? well, the "+ 3" is disturbing, so we subtract 3.
and to keep the balance, we need to subtract 3 on both sides.
that gives us then
t + 3 - 3 = 5 - 3
t = 2
and boom ! the equation has solved itself right in front of our eyes.
and the same thing for all the other equations.
find what is the disturbing additional term on the side of the variable, then get rid of it (and repeat that exact action on the other side) and see what is left on the other side. and you have solved the equation.
that works in every direction like
n + 22 = 5
n + 22 - 22 = 5 - 22
n = -17
12.5 = 7.4 + z
12.5 - 7.4 = 7.4 - 7.4 + z
5.1 = z or
z = 5.1
remember, it is an equation like a balance. you can switch the balance bowls from left to right and right to left, and still they are in balance.
HELP QUICKKK I NEED THIS FOR SCHOLL ASAP
Answer:
20, 30, 35, 45, 15
Step-by-step explanation:
Just got to multiply all numbers by 5 little guy
Joshua gets a daily allowance of $30. Each day he spends 60% of it on lunch, 1/2 of the remainder on transport and saves the rest. Calculate the amount he saves each week.
Answer:
$8
Step-by-step explanation:
60% of 30 is 16.
1/2 of 16 is 8.
He has $8 left.
order -9, -16, -13, 0 from least to greatest
Answer:
_16,-13,-9,0
Step-by-step explanation:
hope this helps u out!!
the highest elevation in north america is denali,in alaska ,with an elevation of 20,320 feet above sealevel. the lowest elevation in california, with an elevation of 282 feet below sea level. what is the differce in the highest and lowest elevations in morth american?
Answer:
Step-by-step explanation:
The highest point in North America, Mount McKinley, in the Alaska Range, is 20,320 feet above sea level. The lowest point m North America is 282 feet below sea level and is in Death Valley in California. Which student correctly calculated the difference in elevations? Explain the error.
\begin{matrix} \text{Student A} & \text{Student B}\\ \text{20,320 - 282} & \text{20,320 - ( -282)}\\ \text{20,320 + (-282)} & \text{20,320 + ( + 282)}\\ \text{20,038 feet} & \text{20,602 feet}\\ \end{matrix}
Student A
20,320 - 282
20,320 + (-282)
20,038 feet
Student B
20,320 - ( -282)
20,320 + ( + 282)
20,602 feet
A triangle has an area of 160 square inches and the base of the triangle is 40 inches. What is the height of the triangle?
Answer:
answer-8 Inches.
Step-by-step explanation:
Area of triangle=160 square inches
Base of triangle=40 inches
area of triangle=1/2*base*height160=1/2×40×height
160 =20×height
160/20=height
height=80 inches.
y = x - 15 when x is 2.65
Answer:
y = -12.35
Step-by-step explanation:
Plug in 2.65 for x giving you y = 2.65 - 15
x²+5x+6, x²+x-6 and x²-9 find hcf
Answer:
[tex]x {}^{2} + 5x + 6 \\ {x}^{2} + 3x + 2x + 6 \\ x(x + 3) + 2(x + 3) \\ (x + 3) (x + 2)\\ \\ ( {x}^{2} + x - 6) \\ {x}^{2} + 3x - 2x - 6 \\ x(x + 3) - 2(x + 3) \\ (x - 2)(x + 3) \\ \\ {x}^{2} - 9 \\ (x - 3)(x + 3) \\ \\ the \: hcf \: = (x + 3)[/tex]
Manuel ran his mile in 7.332 minutes. How fast is that to the nearest hundredth? Explain your answer.
Answer:
7300
Step-by-step explanation:
this is because 3 is in the hundreds column and is rounded down
because the number behind is 3 so it stays the same some it is 7300
[tex]\\ \sf\longmapsto Speed=\dfrac{1mi}{439.92s[/tex]
[tex]\\ \sf\longmapsto Speed=0.00227mi/s[/tex]
[tex]\\ \sf\longmapsto Speed=0.0023mi/s[/tex]
[tex]\\ \sf\longmapsto Speed=0.002mi/s[/tex]
Dana ate her trail mix. she found that 28% of the trail mix is raisins. What is 28% of 7 ounces
Answer:
the answer is 2.28 ounces
Solve for x
x/4=4/10
Give your answer as an improper fraction in its simplest form.
Answer:
1.6
hope this helps you!!!!!!!
Step-by-step explanation:
the answer which I have solved is in the image if you have any query then please ask...
Find the 66th term of the arithmetic sequence -10, 7, 24, ...−10,7,24,...
Answer:
a(66) = -10 + 17(65) = 1095
Step-by-step explanation:
We know that this is an arithmetic sequence. Subtracting -10 from 7 results in 17; subtracting 7 from 24 also results in 17. Thus, the common difference, d, is 17. The first term is -10.
The general form of an arithmetic sequence is a(n) = a(1) + d(n - 1).
Substituting -10 for a(1) and 17 for d, we get:
a(n) = -10 + 17(n - 1)
Now let n = 66: a(66) = -10 + 17(66 - 1), or a(66) = -10 + 17(65) = 1095
What is the measure of _____?
Answer:
53°Step-by-step explanation:
Angle ABE = 90°
Angle CBE = 37° (opposite angle)
90 - 37 = 53°
i need help with two questions please, guathmath doesn't seem to help!
A book has 12 chapters. The mean length of the chapters is 38 pages. How many total pages are there in the 12 chapters
The decimal approximation for cot(235°36') is approximately -0.9503.
To find the decimal approximation for cot(235°36'), we first need to convert the angle to degrees.
The given angle is 235°36'. We can convert this to decimal degrees by adding the fraction of minutes to the degree value. There are 60 minutes in a degree, so we divide 36 by 60 to convert it to a fraction of a degree:
36 / 60 = 0.6 degrees
Now, we can add this fraction to the degree value:
235 + 0.6 = 235.6 degrees
The cotangent function is the reciprocal of the tangent function. To find the cotangent of an angle, we can use the following formula:
cot(x) = 1 / tan(x)
Since we want to find cot(235.6°), we can find tan(235.6°) first and then take the reciprocal.
Using a scientific calculator or software, we can find
tan(235.6°) ≈ -1.0529
Now, we can take the reciprocal to find cot(235.6°):
cot(235.6°) ≈ 1 / (-1.0529) ≈ -0.9503
Therefore, the decimal approximation for cot(235°36') is approximately -0.9503.
for such more question on fraction
https://brainly.com/question/28372533
#SPJ8
Part C
How does a dilation by a scale factor of 1/2 change the coordinates of a shape?
Answer:
it cuts it in half
Step-by-step explanation:
and it makes it smaller and therfore it is cut in half hope that helps
x³+2x²-15x, x²-7x+12 and 3x²-27 find h.c.f
Answer:
[tex] {x}^{3} + 2 {x}^{2} - 15x \\ x( {x}^{2} + 2x - 15) \\ x( {x}^{2} + 5x - 3x - 15) \\ x(x(x + 5) - 3(x + 5) \\ x((x + 5)(x - 3)) \\ {x}^{2} -7x + - 12 \\ {x}^{2} - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3) \\ 3 {x}^{2} - 27 \\ 3( {x}^{2} - 9) \\ 3((x + 3)(x - 3)) \\ \\ the \: hcf \: = (x + 3)[/tex]
find the solution to the following system by substitution
4x+y=40
There are many ways of doing it, but here is mine.
Step-by-step explanation:
x = 6, y = 16
So now you multiply six by four and you will get twenty four plus sixteen, if you add them then you will get forty.
There are 14 apples in a basket. 9 of these apples are green. The rest of them are red.
What is the ratio of red apples to green apples?
Answer:
9:5 is the ratio of green to red
negative three over eight divided by five over nine..
Answer:
- 27/40
Step-by-step explanation:
Polly buys 6.8 yards of fabric for $28.90. What is the cost per yard?
Please help? :)
Answer:
Polly has to pay $0.24 per yard of fabric.
Step-by-step explanation:
You simply have to divide the 6.8 yards by the $28.90 cost. The result is $0.235294118 dollars per yard, but since you can't have only half a cent, we will round it to the nearest hundredths and get $0.24 dollars.
Which is equivalent to the expression below?
5(x + 5)
Group of answer choices
x + 25
5x + 25
5x + 10
x + 10
Answer:
The answer is 5x + 25
Explanation:
Apply distribution
distribute 5 to the equation inside the parenthesis
5x + 5 × 5
5x + 25
Due in an hour help me
Please I have to pass
Answer:
A is answer
Step-by-step explanation:
for brainly Identify the slope (rate of change) of the following table or graph.
Answer:
Step-by-step explanation:The slope. Select any two points from the given graph. The rate of change (m) is: The slope is 2 inches per month (b) Compare their growing rates. Baby Grace growing rate is 0.75
What is m
A) 34
B) 56
C) 60
D) 62
E) 124
Answer:
Since it is symmetrical, the angles will be the same on both sides.
So EFG = 56*
And 180* - 56* = 124*
And 124* / 2 = 62*
So m<FEG = 62*
Answer:
D- 62
Step-by-step explanation:
which is the correct algebraic expression
please help image attached I'll give brainliest
Answer:
C. [tex]\frac{3}{2}ab - \frac{\pi a^2}{8}[/tex]
Step-by-step explanation:
Area triangle = [tex]\frac{1}{2}(3ab) = \frac{3ab}{2} = \frac{3}{2}ab[/tex]
Area semi-circle = [tex]\frac{1}{2}(\pi (\frac{1}{2}a)^2) = \frac{\pi (\frac{1}{2}a)^2}{2} = \frac{\pi (\frac{1}{4}a)^2}{2} = \frac{\pi a^2}{8}[/tex]
Final Equation = [tex]\frac{3}{2}ab - \frac{\pi a^2}{8}[/tex]
-Chetan K