Using the properties of trigonometric functions, we can find the exact value of the expression tan 25º and cot 25º. The exact values are tan 25º = √3 - 2 and cot 25º = 1/(√3 - 2).
To find the exact value of tan 25º, we can use the tangent function's property: tan(x) = sin(x)/cos(x). We know that sin 25º = √3/2 and cos 25º = 1/2. Therefore, tan 25º = sin 25º / cos 25º = (√3/2) / (1/2) = √3 - 2.
To find the exact value of cot 25º, we can use the cotangent function's property: cot(x) = 1/tan(x). Since we already found tan 25º = √3 - 2, we can substitute it into the cotangent expression: cot 25º = 1 / (√3 - 2) = 1/(√3 - 2).
So, the exact value of tan 25º is √3 - 2, and the exact value of cot 25º is 1/(√3 - 2).
Learn more about trigonometric here: brainly.com/question/29156330
#SPJ11
Can you guys help with these questions!!
Answer:
You line up the letters
A teacher gave 13 marks to student and 12 marks to another student in one exam. Can you tell TIME by the previous sentence?
Answer:
1:45
Step-by-step explanation:
Trickish a bit. But look at it from this angle.
Two students were given marks that when added together, gives a total of 25. 25 on the other hand, is known to be a quarter of 100.
Again, we consider that there are 2 students involved, so we can say that the hour mark is at 2. This means that we have quarter to 2. And looking up quarter to 2 on the clock gives 1:45.
The answer is therefore 1:45
What are the x-intercepts of the graph of f(x) = (2x-1)(2x-5)? Show your work.
Answer:
Step-by-step explanation:
The x intercepts are obtained by equating the factors to zero.
2x - 1 = 0
2x = 1
x = 1/2
2x - 5 = 0
2x = 5
x = 5/2
x = 2 1/2 or 2.5
The graph of f(x) = (2x -1)*(2x - 5) is given below. The x intercepts are labeled.
marking brainlest answer
6. Select the coldest temperature from the list below. * O -11°F O 7°F O -4°F O 20°F
Answer:
-11 degrees Fahrenheit.
Step-by-step explanation:
the higher the negative number is, the colder it gets <D
how old am ASAP ASAP
Answer:
15
Step-by-step explanation:
this might be true, and it might not, i wont say
Distribute the negative number and simplify.10 - 2(4 + 3x)
SOLUTION
Step 1 :
In this question, we are meant to distribute the negative number and simplify the linear expression.
Step 2 :
Given:
\(\begin{gathered} 10\text{ - 2 ( 4 + 3 x )} \\ \text{Expanding the brackets, then we have that:} \\ =10\text{ - 8 - 6 x } \\ =2\text{ - 6x } \end{gathered}\)CONCLUSION
We can see clearly that:
\(10\text{ - 2 ( 4 + 3 x ) = 2 - 6 x }\)
an atom moving at its root-mean-square speed at 20 oc has a wavelength of 3.28 x 10-11 m. identify the atom.
The wavelength of an atom is 3.28× 10−11 m when it is travelling at its root-mean-square speed at 20 °C. Decide on the atom. Consequently, M = 2 and the gas's molar mass is 2 kgmol−1 .
what is wavelength ?Radio waves, light waves, and infrared (heat) waves are examples of electromagnetic radiation that flow through space in distinct patterns. Every wave is a specific size and shape.
calculation
urms= \(\sqrt{\frac{3RT}{M} }\)
and
λ=h/murms
⟹urms=h/mλ⟹
\(\sqrt{\frac{3RT}{M} }\)=h/mλ
72.2 = 148.17 / M
M = 148.17/72 ≈ 2
Consequently, M = 2 and the gas's molar mass is 2 kgmol−1. A gas with a molecular mass of 2 kgmol-1, however, does not exist.
To know more about wavelength visit :-
https://brainly.com/question/13533093
#SPJ4
Find the area of each.2)18in A)64 B)49 C)81 D)100
Answer: It's C
Step-by-step explanation:
g(x) = 6 - x; then g(-4) = _____
Answer: 10
scince x is equal to -4 the equation becomes g(-4)=6- -4
What number is 1% of 37.25
Answer:
1% of 37.25=0.3725
What is the sum of (–2.1x + 3.7) and (5 + 4.9x)?
a. negative 7.0 x 8.7
b. negative 2.8 x 8.7
c. 2.8 x 8.7
d. 7.0 x 8.7
The sum of the algebraic expressions (–2.1x + 3.7) and (5 + 4.9x) as required in the task content is; Choice C; 2.8x + 8.7.
What is the sum of the algebraic expressions given?It follows from the task content that the sum of the algebraic expression given is to be determined.
Therefore, we have;
(–2.1x + 3.7) + (5 + 4.9x)
= -2.1x + 4.9x + 3.7 + 5
= 2.8x + 8.7.
Ultimately, the sum of the given algebraic expressions is; 2.8x + 8.7.
Read more on algebraic expressions;
https://brainly.com/question/2164351
#SPJ1
Answer:
ITS C
Step-by-step explanation:I JUST TOOK THE TEST AND GOT A 100
sorry caps
Suppose the following system of equations has a solution of (
–
5,
–
1), where A, B, C, D, E, and F are real numbers.
Ax+By=C
Dx+Ey=F
Which systems are also guaranteed to have a solution of (–5,–1)? Select all that apply.
As a result, none of the above systems have a solution of (-5,-1).
How to find the system has a solution or not?To see which systems have a solution of (-5, -1), enter x=-5 and y=-1 into the two equations and see if they are both true at the same time.
So, let's enter the values:
A(-5) + B(-1) = C is the solution to the first equation.
To simplify: -5A - B = C
D(-5) + E(-1) = F is the solution to the second equation.
Simplifying: -5D - E = F
As a result, the equation system can be represented as:
-5A = C -5D = E = F
Now we may enter x=-5 and y=-1 into the system and see if the equations still hold true.
When A=1, B=-5, and C=20, the expression -5A - B = C should be true.When D=1, E=-5, and F=30, D - E = F should be true.
As a result, the equation system becomes:
1x - 5y = 20
1x - 5y = 30
If we attempt to solve We have a contradiction in this system since the two equations are incompatible. As a result, there is no solution to this system of equations that meets (-5,-1).
As a result, none of the above systems have a solution of (-5,-1).
Learn more about the system of the solution here:
https://brainly.com/question/28971387
#SPJ1
Complete question:
Suppose the following system of equations has a solution of
where A, B, C, D, E, and F are real numbers.
Ax+By=C
Dx+Ey=F
Which systems are also guaranteed to have a solution of (–5,–1)? Select all that apply.
NEED HELP PLEASE HELP
The difference in the average rate of change of Chris' savings and Lily's savings in the period from Month 3 to Month 12 is given as follows:
A. $5.
How to obtain the average rate of change?The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.
Chris savings increased from 35 to 170 in the period from Month 3 to Month 12, hence the average rate of change is given as follows:
(170 - 35)/9 = $15.
Lily's Savings increased from 30 to 120 in the period from Month 3 to Month 12, hence the average rate of change is given as follows:
(120 - 30)/9 = $10.
Hence the difference is of:
15 - 10 = $5.
More can be learned about the average rate of change of a function at brainly.com/question/11627203
#SPJ1
Which interva notation represents the set of all numbers greater than or equal to -11 and less than or equal to -2? O [-11, -2] O (-11, -2] Submit Answer Of-11, -2) 0 (-11, -2)
When using interval notation a "[" represents that the number belongs to the interval and a "(" means that the number doesn't belong to the interval, it only limits it. On this case we need to find the interval where the numbers are greater or equal to -11, therefore this number belongs to the interval, and less or equal to -2, this number also belongs to the interval. They belong to the interval, because there is "or equal" on the signals. Therefore the interval can be represented as:
\(\lbrack-11,-2\rbrack\)Hector and his brother, Lee, collect toy cars. Hector has c cars, where c > 10. Lee has 35% more cars than Hector, but he donates 10 of them to charity. Which expression below does NOT represent how many toy cars Lee has after his donation?
a) 1.35c − 10
b) c + 0.35c − 10
c) −10 + 1.35c
d) 1.25c
Answer:
b) c + 0.35c − 10
Step-by-step explanation:
Hi, this is Coco Quinn and I would absolutely love it if one of u incredibly nice people could answer my question its worth 80 points, and the first correct answer will mark the brainlest !!!
The price of a DVD is $24.00 plus 8% sales tax. What is the sales tax on this DVD in dollars and cents?
______________________
Answer:
You would have to multiply $24 by 8% and then subtract from the total.
So, 24 x .8 = 19.2
24-19.2 = 4.8
$4.80 sales tax.
I hope u were helped
Answer:
Step-by-step explanation:
You would have to multiply $24 by 8% and then subtract from the total.
So, 24 x .8 = 19.2
24-19.2 = 4.8
$4.80 sales tax.
1. Walmart’s stock price started at $70. It went up by $2, then went down $4. What is the final stock price?
Answer:
64
Step-by-step explanation:
its 70-2-4 = 64
70-2
=68 -4
=64
Simon and his track team ran on the Heron Peak running trail yesterday after school. The team ran 2 miles due west from the parking lot to a bench. They turned at the bench to run 1.5 miles due north toward an outhouse. To finish the run, the team ran a straight line from the outhouse back to the parking lot. If Simon ran at a constant rate of 8 miles per hour, how long did it take Simon to finish the run?
If necessary, round your answer to the nearest tenth.
how many minutes?
It took Simon 45 minutes to finish the run.
What is distance?
Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet.
To solve this problem, we need to use the distance formula:
Distance = Rate x Time
We can break down the run into three parts: the 2 miles due west, the 1.5 miles due north, and the straight line back to the parking lot.
For the first part, Simon ran 2 miles at a rate of 8 miles per hour. Therefore, the time it took him to run this part of the trail was:
Time = Distance / Rate
Time = 2 miles / 8 miles per hour
Time = 0.25 hours
For the second part, Simon ran 1.5 miles at a rate of 8 miles per hour. Therefore, the time it took him to run this part of the trail was:
Time = Distance / Rate
Time = 1.5 miles / 8 miles per hour
Time = 0.1875 hours
To find the distance of the last part, we need to use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the 2-mile and 1.5-mile legs:
c² = a² + b²
c² = 2² + 1.5²
c² = 4 + 2.25
c² = 6.25
c = sqrt(6.25)
c = 2.5 miles
So, Simon ran 2.5 miles at a rate of 8 miles per hour. Therefore, the time it took him to run this part of the trail was:
Time = Distance / Rate
Time = 2.5 miles / 8 miles per hour
Time = 0.3125 hours
Finally, we can add up the times for each part of the trail to find the total time it took Simon to finish the run:
Total Time = 0.25 hours + 0.1875 hours + 0.3125 hours
Total Time = 0.75 hours
To convert this to minutes, we can multiply by 60:
Total Time = 0.75 hours x 60 minutes/hour
Total Time = 45 minutes
Therefore, it took Simon 45 minutes to finish the run.
To learn more about distance from the given link:
https://brainly.com/question/30923151
#SPJ1
An airplane has an airspeed of 500 kilometers per hour (k/hr) in a
northerly direction (N 0˚ E). The wind velocity is 60 k/hr in a southeasterly (S45˚E)
direction. Let Va be the velocity of the plane relative to the air and Vw be the velocity
of the wind (both in terms of i and j).
1. Find vg = va + vw, the path of the plane relative to the ground. Round coefficients to the nearest tenth.
2. Find the actual speed and direction of the airplane relative to the ground. Round to the nearest tenth.
I really really really really need help with this question
Answer:
When rotating any polygon 90 degrees, each vertice/point of the polygon should be changed from (x, y) to (y, -x). Because of this, E(-7, -4) should be E'(-4, 7), F(-2, -1) should be F'(-1, 2), and G(-5, -8) should be G'(-8, 5) after the rotation.
Step-by-step explanation:
Like I explained above, when rotating a shape 90 degrees clockwise on a plane, the points change from (x, y) to (y, -x). The student changed each point from (x, y) to (-y, x), which is a 90 degree counterclockwise rotation. That is why the student is incorrect.
I hoped this helped! Sorry, I am terrible at explaining things. :)
Select the math statement that is true.
1.86 + 0.3 = 1.89
3.4 + 4.12 = 4.46
6.7 + 1.2 = 7.9
8 + 0.6 = 1.4
Answer:
6.7+1.2=7.9
Step-by-step explanation:
6+1=7
0.7+0.2=0.9
so 7+0.9=7.9
so u have to break the numbers as tens and units
144kg in the ratio 1:3:5
Which statement best describes a situation in which opposite quantities combine to make 0?
A.
A scuba diver swam to a location 25 feet below sea level, then she swam 8 feet deeper.
B.
A hot air balloon used propane to fly 50 feet higher, then used weights to fly 50 feet lower.
C.
A child grew 1.5 inches taller one year, then 1.5 inches taller the next year.
D.
A farmer mowed 5 inches off his grass one week, then it grew 4 inches the next week.
Answer:
B
Step-by-step explanation:
Using traditional methods it takes 8.5 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 21 students and observed that they had a mean of 8.8 hours with a variance of 1.21. Is there evidence at the 0.05 level that the technique performs differently than the traditional method? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses
There is not enough evidence at the 0.05 level that the technique performs differently than the traditional method.
What are the hypothesis tested?At the null hypothesis, it is tested if there is no evidence of different performance, that is, the mean is of 8.5 hours, hence:
\(H_0: \mu = 8.5\)
At the alternative hypothesis, it is tested if there is evidence of different performance, with a mean different of 8.5 hours, hence:
\(H_1: \mu \neq 8.5\)
We have a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05, hence the critical value is of:
|z| = 1.96.
(p-value of 1 - (0.05/2)).
Hence the decision rule is given as follows:
|z| < 1.96 -> do not reject the null hypothesis -> not enough evidence.|z| > 1.96 -> reject the null hypothesis -> enough evidence.What is the test statistic?The population standard deviation is known, hence the z-distribution is used to obtain the test statistic.
The equation is given as follows:
\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which:
\(\overline{x}\) is the sample mean.\(\mu\) is the value tested at the null hypothesis.\(\sigma\) is the standard deviation of the population.n is the sample size.The parameters for this problem are given as follows:
\(\overline{x} = 8.8, \mu = 8.5, \sigma = \sqrt{1.21} = 1.1, n = 21\)
Hence the test statistic is of:
\(z = \frac{8.8 - 8.5}{\frac{1.1}{\sqrt{21}}\)
z = 1.24.
|z| < 1.96, hence there is not enough evidence at the 0.05 level that the technique performs differently than the traditional method.
More can be learned about the test of an hypothesis at https://brainly.com/question/13873630
#SPJ1
If 10% of x is 20, what is 23% of x?
A.
33
B.
46
C.
200
D.
230
Answer:
46
Step-by-step explanation:
Answer:
46
Step-by-step explanation:
First get x
x= (20/10) * 100
x=200
23% of 200 = (23*200)/100 = 46
Jayden measured a desk to be 4 feet. The actual measure is 3.2 feet. What is jayden’s percent error?
A: 20%
B: 25%
C: 30%
D: 35%
Answer:
B
Step-by-step explanation:
Did on freckle
You paint four walls. Each wall is a rectangle with a length of 20 feet and a height of 12 feet. One gallon of paint covers about 320 square feet. How many gallons of paint do you need in order to cover the walls?Give explanation
Answer:
To find out how many gallons of paint are needed to cover the walls, we need to first find the total area of the walls.
The four walls are rectangles with a length of 20 feet and a height of 12 feet. So, the area of one wall is:
20 feet x 12 feet = 240 square feet
Since there are four walls, the total area of the walls is:
4 x 240 square feet = 960 square feet
We know that one gallon of paint can cover approximately 320 square feet. To find how many gallons of paint are needed, we can divide the total area of the walls by the area covered by one gallon of paint:
960 square feet ÷ 320 square feet per gallon = 3 gallons of paint
Therefore, you need approximately 3 gallons of paint to cover the walls.
Which inequality is represented by this graph?
A number line going from negative 58 to negative 50. A closed circle is at negative 53. Everything to the right of the circle is shaded.
x greater-than negative 53
x less-than-or-equal-to negative 53
x less-than negative 53
x greater-than-or-equal-to negative 53
The correct inequality that represents the given graph is "x greater-than-or-equal-to negative 53."
The inequality represented by the given graph is "x greater-than-or-equal-to negative 53."
In the graph, there is a closed circle at negative 53 on the number line. This indicates that the value -53 is included in the solution set. Additionally, everything to the right of the closed circle is shaded, indicating that all values greater than -53 are also part of the solution.
The symbol ">" represents "greater than," and the symbol "≥" represents "greater than or equal to."
Since the closed circle is at -53, which is included in the shaded region, we use the "greater than or equal to" symbol to indicate that the values greater than or equal to -53 satisfy the inequality.
For similar question on inequality.
https://brainly.com/question/30238989
#SPJ8
Answer:
its d
Step-by-step explanation:
From the observation deck of a skyscraper, Bentley measures a 48 angle of depression to a ship in the harbor below. If the observation deck is 969 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary
Answer:
So the horizontal distance from the base of the skyscraper out to the ship is approximately 872.4 feet.
Step-by-step explanation:
We are given that the angle of depression is 48 degrees and that the height of the observation deck is 969 feet. Let's call the distance from the base of the skyscraper out to the ship "d".
We can use the tangent function to relate the angle of depression to the horizontal distance:
tan(48) = x / d
Multiplying both sides by d, we get:
d * tan(48) = x
Now we just need to plug in the values we know:
d * tan(48) = x
d * 1.1106 = x
Rounding to the nearest tenth, we get:
d = x / tan(48) ≈ 872.4 feet