Answer:
3pi/ 10
Step-by-step explanation:
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Trigonometry Examples
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Trigonometry
Find the Reference Angle (17pi)/10
17π1017π10
Since the angle 17π/ 10 is in the fourth quadrant, subtract 17π/10 from2π.
2π−17π/10
The angle between 0 to [tex]2\pi[/tex] that is coterminal with [tex]-\frac{17\pi }{10}[/tex] is [tex]\frac{3\pi }{10}[/tex].
What is coterminal angle?Coterminal angles are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side.
Angles are considered to be in standard position if the initial side is on the positive x-axis and the vertex at the (0,0) point of the Cartesian plane. All angles generated that share the same terminal side are coterminal angles. These are angles that have differences of multiples of 360n or n2pi where n is an integer.
A coterminal angle is found by simply adding or subtracting 360 and its multiples.
The coterminal angles of 20 degrees for example are 20 + 360 = 380 or 20 - 360 = -340. This may continue by adding or subtracting 360 each time.
To get coterminal angles, you simply have to add or subtract 2[tex]\pi[/tex].
According to this problem,
We are looking for a coterminal angle that is between 0 to 2[tex]\pi[/tex], so we will add [tex]2\pi \ to \ \frac{-17\pi }{10}[/tex].
= [tex]\frac{-17\pi }{10} +\frac{20\pi }{10}[/tex]
= [tex]\frac{-17\pi +20\pi }{10}[/tex]
= [tex]\frac{3\pi }{10}[/tex]
Hence,
The angle between 0 to [tex]2\pi[/tex] that is coterminal with [tex]-\frac{17\pi }{10}[/tex] is [tex]\frac{3\pi }{10}[/tex].
Find out more information about coterminal angle here
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The ———— is used to determine the left-hand and right-hand behavior of the graph of a polynomial function.
--Select-
Behavior Test
t Answ Polynomial Test
Odd Degree Test
Horizontal Line Test
Leading Coefficient Test
Dints] Distinct Zero Test
Even Degree Test
Vertical Line Test
AT10 3.2.001.
Answer:
I think it is the vertical line test. If you have any other questions let me know! :)
simplify [tex]\sqrt{p^4q^6r^5. answer is D just took the test
Hi please help me with this asap.
what is 15% of 22 help
The perimeter of the shape below is 44 feet. What is the area in square feet?
Answer:
2(4x+2+6x)=44
10x+2=22
10x=20
x=2
area= 10*12=120sq feet
Step-by-step explanation:
Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high and 24 cm in diameter if the metal in the top and bottom is 0.1 cm thick, and the metal in the sides is 0.05 cm thick. Note, you are approximating the volume of metal which makes up the can (i.e. melt the can into a blob and measure its volume), not the volume it encloses. The differential for the volume is
Answer:
dV ≈ 927.4 cm³
Step-by-step explanation:
Formula for volume of a cylinder is;
V = πr²h
Using differentials, we have;
dV = (dV/dr)dr + (dV/dh)dh
Now, dV/dr = 2πrh
dV/dh = πr²
Thus, at r = 24/2 = 12 cm
And at h = 60 cm, we have;
dV/dr = 2π(12 × 60)
dV/dr = 4523.89 cm²
Also;
dV/dh = π(12)²
dV/dh = 452.39 cm²
the metal in the top and bottom is 0.1 cm thick. Thus, dr = 2 × 0.1 = 0.2
the metal in the sides is 0.05 cm thick. Thus; dh = 0.05
Thus;
dV = (4523.89 × 0.2) + (452.39 × 0.05)
dV ≈ 927.4 cm³
hey,need the answer.Have a nice Easter ❤️❤️
Answer:
(B)-4
Step-by-step explanation:
Describe the graph of y=-x and compare it with the graph of y = x
A carpenter is creating two new templates for his designs. One template will be in the shape of a right triangle, where the longer leg is 4 inches more than six times the shorter leg. The second template will be in the shape of a rectangle, where the width is 5 inches more than the triangle’s shorter leg, and the length is 3 inches. The carpenter needs the areas of the two templates to be the same. Write a system of equations to represent this situation, where y is the area, and x is the length of the shorter leg of the triangle. Which statement describes the number and viability of the system’s solutions?
A. The system has two solutions, but only one is viable because the other results in negative side lengths.
B. The system has only one solution, and it is viable because it results in positive side lengths.
C. The system has only one solution, but it is not viable because it results in negative side lengths
. D. The system has two solutions, and both are viable because they result in positive side lengths.
Answer:
The system has two solutions, but only one is viable because the other results in negative side lengths.
Step-by-step explanation:
Took the plato test and passed it, I don't know what the purpose of the first answer is, but here is the correct answer.
Ahamd wants to cover a box that is 6 cm long 4 cm high and 4 cm wide with material on all the sides how much material does he need
Answer:
128cm²
Step-by-step explanation:
To find out how much material he needs, you need to find the surface area of the box. Each box has 6 sides, 2 of 3 different sides.
Surface area = 2(6 × 4) + 2(6 × 4) + 2(4 × 4)
= 128cm²
Evaluate: show your work
Find the value of the variable.
102-8m=86
HELP. PLEASE HELP ME. I could really use your help. Please and thank you :))
Help me with this EdPuzzle pls.
Answer:
2 in^3
Step-by-step explanation:
First you find the volume of one cube by doing 1/2*1/2*1/2, after this you times this number by 16 to get the volume of the whole structure
Six trigonometric functions of -315.
The following is the estimation results for a multiple linear regression model:
Y = B. + ,X,+B,X, +E
SUMMARY OUTPUT
Regression Statistics
R-Square 0.558
Regression Standard Error (S) 863.100
Observations 35
Coeff StdError t-stat
Intercept 1283.000 352.000 3.65
X1 25.228 8.631
X2 0.861 0.372
Questions:
1. Write the fitted regression equation (30 points).
2. Write the estimated intercepts and slopes, associated with their corresponding standard errors (30 points).
3. Interpret each coefficient (40 points).
Answer:
Kindly check explanation
Step-by-step explanation:
Given the summary output :
_______ Coeff___ StdError__ t-stat
Intercept 1283.000_ 352.000 _ 3.65
X1 _____ 25.228 ____8.631
X2 _____0.861 _____0.372
General form of a multiple regression model:
Y = B1X1+B2X2 +E
The fitted regression equation is :
y = 25.228X1 + 0.861X2 + 1283
Intercept and slope corresponding to the standard error :
Intercept = 352
Slope 1 = 8.61 ; slope 2 = 0.372
'B' coefficient represents the change in the mean response, Y, per unit increase in a version predictor variable when all the other predictors are held constant.
B1 represents the change in the mean response, U, per unit increase in x1 when x2, x3, ..., xk are held constant
B2 represents the change in the mean response, U, per unit increase in x2 when x1, x3, ..., xk are held constant
Express the shaded area as a fraction, a decimal, and a percent of the whole
Answer:
Fraction : 3/9
Decimal : 0.33333333 (the .3 continues)
Percent : 33.33333%
Step-by-step explanation:
Dividing 3 by 9 will give you a continous set of 3.
ASAP ASAP ASAP ASAP please please help ASAP ASAP please please ASAP ASAP please ASAP help please please ASAP please
Step-by-step explanation:
The lateral area is
[tex]42\pi[/tex]
The surface area is
[tex]60\pi[/tex]
The volume is
[tex]63\pi[/tex]
If n and k are positive integers and 8” = 2*, what is the value of n/k
Answer:
B) 1/3
Step-by-step explanation:
If n=1 and k=3, then 8^n=2^k is true. Therefore, n/k=1/3.
What is the value of y?
Answer:
-1
Step-by-step explanation:
Hi please help me with these questions asap.
Step-by-step explanation:
A. r=42/2=21
B.
[tex] {21}^{2} \pi + 60 \times 42 = \\ = 441\pi + 2520[/tex]
C.
[tex]42\pi + 60 \times 2 = \\ = 42\pi + 120[/tex]
Simplify the radical
Answer:
4
Step-by-step explanation:
4 to the 4th power is 256
Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds
Answer:
s + b = $24,000
And,
s = 3b + $6,000
Step-by-step explanation:
Let us assume the stock be s
And, the bonds be b
So according to the question
It is given that
s + b = $24,000
And,
s = 3b + $6,000
The answers are
s + b = $24,000
And,
s = 3b + $6,000
The same would be considered
Which angle is congruent to B
8) Do these ratios form a proportion?
20 pedestrians : 5 years
7 pedestrians : 1 year
Please provide explanation.
Answer:
Since the division of the number of pedestrians by the number of years yields different values for each ratio, these ratios do not form a proportion.
Step-by-step explanation:
They will form a proportion if the division of the number of pedestrians by the number of years yields the same results.
20 pedestrians : 5 years
20/5 = 4 pedestrians per year.
7 pedestrians : 1 year
7/1 = 7 pedestrians per year.
Since the division of the number of pedestrians by the number of years yields different values for each ratio, these ratios do not form a proportion.
20 baseballs pitched he hit 17. What %did TJ hit
HELP ASAP !!! giving out the brainliest answer !!! plsss help (has to be correct )
Answer:
sin D
Step-by-step explanation:
i think
or cos D
Answer:
24/25=sin F
Cos D = 24/25
Step-by-step explanation:
An icosahedron has twelve faces, the most of any Platonic solid.
Answer:
Step-by-step explanation:
True
3. A pharmacist needs a blend of chemical containing 35% of manganese but she has one vial
at 40% and another at 25%. How many of each must be mixed to provide 100 pounds of
35% manganese?
I know I just fill in -1 with x but I’m stuck with 2 different answers and this is an exam sooooo I don’t wanna risk it. Can someone please tell me the answer?
Answer:
g(-1) = 4
Step-by-step explanation:
Given:
g(x) = [tex] \frac{3x^2 - 2x + 7}{2x + 5} [/tex]
To find g(-1), substitute x = -1
Thus:
g(-1) = [tex] \frac{3(-1)^2 - 2(-1) + 7}{2(-1) + 5} [/tex]
g(-1) = [tex] \frac{3 + 2 + 7}{-2 + 5} [/tex]
= [tex] \frac{3 + 2 + 7}{-2 + 5} [/tex]
= [tex] \frac{12}{3} [/tex]
g(-1) = 4
Find the value of x
Answer:
x=13
Step-by-step explanation:
Since both angles are vertical angles and are therefore congruent, the expression is equal to 114.
7x+23=114
Subtract 23 from both sides.
7x=91
Divide both sides by 7.
x=13
The price for a car in 2015 was RM 54000. This was 10% higher compared to the year 2014?
Answer:
2014 price was $49,091
Step-by-step explanation:
I'm assuming you want to solve for 2014 year price...
2015 year price is 54,000 and was 10% higher than 2014 price, meaning 2015 price is 110% of 2014 price so...
p×110%=54,000
p=54,000/1.1
p=49,090.90