Angle 0 corresponds to a point (x,y) on the unit circle in quadrant 1. Which quadrant does 0+pi lie in?
Answer: Quadrant 3
============================================================
Explanation:
pi radians = 180 degrees
If angle [tex]\theta[/tex] (greek letter theta) is in quadrant 1, then this places the angle in the northeast quadrant. Adding 180 degrees to theta will move it to the third quadrant, which is in the southwest.
Note: when incrementing through the quadrants (1,2,3,4) we move counterclockwise.
A chef uses 3\frac{3}{4} pounds of semolina flour and 1\frac{5}{8} pounds of whole wheat flour for each batch of pasta she makes. One week she uses a total of 86 pounds of flour.
Answer:
huh ?
Step-by-step explanation:
What's the cosine of 7
cosine(7 radians ) =
0.75390225434
[Pre-Calc] Please Help! I don’t know where to start. How do I do this?
Answer:
See Below.
Step-by-step explanation:
Problem A)
We have:
[tex]\displaystyle \csc^2\theta \tan^2\theta -1=\tan^2\theta[/tex]
When in doubt, convert all reciprocal trig functions and tangent into terms of sine and cosine.
So, let cscθ = 1/sinθ and tanθ = sinθ/cosθ. Hence:
[tex]\displaystyle \left(\frac{1}{\sin^2\theta}\right)\left(\frac{\sin^2\theta}{\cos^2\theta}\right)-1=\tan^2\theta[/tex]
Cancel:
[tex]\displaystyle \frac{1}{\cos^2\theta}-1=\tan^2\theta[/tex]
Let 1/cosθ = secθ:
[tex]\sec^2\theta -1=\tan^2\theta[/tex]
From the Pythagorean Identity, we know that tan²θ + 1 = sec²θ. Hence, sec²θ - 1 = tan²θ:
[tex]\tan^2\theta =\tan^2\theta[/tex]
Problem B)
We have:
[tex]\sin^3x=\sin x-\sin x \cos^2 x[/tex]
Factor out a sine:
[tex]\sin x(\sin^2 x)=\sin x-\sin x\cos^2 x[/tex]
From the Pythagorean Identity, sin²θ + cos²θ = 1. Hence, sin²θ = 1 - cos²θ:
[tex]\sin x(1-\cos^2 x)=\sin x-\sin x\cos^2x[/tex]
Distribute:
[tex]\sin x- \sin x \cos^2 x=\sin x-\sin x\cos^2 x[/tex]
Problem C)
We have:
[tex]\displaystyle \frac{\cos 2x+1}{\sin 2x}=\cot x[/tex]
Recall that cos2θ = cos²θ - sin²θ and that sin2θ = 2sinθcosθ. Hence:
[tex]\displaystyle \frac{\cos^2 x-\sin^2 x+1}{2\sin x\cos x}=\cot x[/tex]
From the Pythagorean Identity, sin²θ + cos²θ = 1 so cos²θ = 1 - sin²θ:
[tex]\displaystyle \frac{2\cos^2 x}{2\sin x\cos x}=\cot x[/tex]
Cancel:
[tex]\displaystyle \frac{\cos x}{\sin x}=\cot x[/tex]
By definition:
[tex]\cot x = \cot x[/tex]
Given the axle below, how much force must be applied to the handle to lift the weight?
Equation:
F = (w * da) / dh
F = (400 * 2) / (30)
F = (800) / (30)
F = 26.7 or 27 lb
what is 24 meters x 6
Answer:
144 meters
Step-by-step explanation:
24 * 6 is 144
Hope this helps:)
Answer:
144 meters
Step-by-step explanation:
24 meters x 6 meters = 144 meters
Dena borrowed $75,000 to buy a used car. The credit union charged 9% simple interest per year. She paid $2,025 in interest. For what period of time did she borrow the money?
Whats the...
Principal_____
Rate____
Intrest_____
A kite is flying 92 feet off the ground, and it’s string is pulled taut. The angle of elevation of the kite is 63°. Find the length of the string. Round your answer to the nearest 10th
Answer:
26 × 35 = 910=890 I multiply the 26 and 35 together and got 910 and then I round off to nearest 10th and got 900
So the awnser is 890m
How many solutions would the system y=3x^2-6x+5
y=-x^2+3 have
Answer:
2
Step-by-step explanation:
The solutions are:
(1/2,11/4) and (1,2)
In a right triangle, the hypotenuse is 12 cm and one leg is 7 cm. What is the length of the other leg? A. 11.7 cm B. C. 12.7 cm B. 9.7 cm D. 7.9 cm
Answer:
B. 9.7
Step-by-step explanation:
√12²-7²=√144-49=√95=9.7
General Definition: Proceeding, made, or occurring without definite aim, reason, or pattern. For example: "I walked around the store and randomly picked a person to talk to". Building Trades: lacking uniformity of dimensions. For example, random pieces of wood. Statistics Definition: Selecting individual people or objects from a population where every person or object in the population has an equal probability of being chosen. Write a small paragraph discussing how the "general" and "building trades" definitions of random differ from the "statistics" definition of random. Also discuss why these definitions create confusion for statistics students. For example, many people out in the world say they collected "random data" when it is not random data. In fact they do not even know what random data is.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
In the first example, a team walks into a bar & chooses the random person to speak, in which situation, the woman who walks to the club has made a choice, he has selected a people with and who he wants to speak, it is a subjective preference. A choice cannot be random in statistical since it has a subjective preference. The first interpretation may therefore be randomized in general, but not arbitrary in statistics.
In the second example, i.e., the definition of Building tracks Example, a randomized wood piece is an identical piece or is different in size from other pieces. In this, piece wood has been differentiated by one's looks so, when asked to pick a random piece, we are likely to choose a non-uniform part rather than the uniform one. It is a random racial bias, so again in constructing pursuits the second definition could be random, but not a discrete one in stats.
In the identification numbers of random, we intentionally state that equal probability for each unit in the population of inclusion in the sampling. The definition essentially includes all sorts of predilection, and therefore refers to true allegiance, when we neither make that choice nor want to choose a separate unit.
Find the parity of the following if a and b have different parities.
(5a - 3b)(a² + 5b) + 2
9514 1404 393
Answer:
odd
Step-by-step explanation:
If 'a' and 'b' have different parity, the result has odd parity.
__
Assume a=odd, b=even
(5·odd -3·even) = odd
(odd^2 +5·even) = odd
(odd)(odd) +2 = odd
__
Assume a=even, b=odd
(5·even -3·odd) = odd
(even^2 +5(odd)) - odd
(odd)(odd) +2 = odd
_____
The attached verifies this with numbers.
HELPP PLZ DONT SEND A FILE WHATS THE ANWERS ASAP
The answer is 2990.8 yd
Formula for SA of cylinder: 2*pi*r*h+2*pi*r^2
Formula for radius: diameter/2
Plug the radius, 17, height, 11, and pi, 3.14, into the formula above.
= 2990.8 yd
Answer:
Step-by-step explanation:
It's 5
If the graph of y=f(x) passes through the point (0,1), and dy/dx=xsin(x^2)/y, then f(x)= ?
The differential equation
dy/dx = x sin(x ²) / y
is separable as
y dy = x sin(x ²) dx
Integrate both sides:
∫ y dy = ∫ x sin(x ²) dx
∫ y dy = 1/2 ∫ 2x sin(x ²) dx
∫ y dy = 1/2 ∫ sin(x ²) d(x ²)
1/2 y ² = -1/2 cos(x ²) + C
Solve for y implicitly:
y ² = -cos(x ²) + C
Given that y = 1 when x = 0, we get
1² = -cos(0²) + C
1 = -cos(0) + C
1 = -1 + C
C = 2
Then the particular solution to the DE is
y ² = 2 - cos(x ²)
Solving explicitly for y would give two solutions,
y = ± √(2 - cos(x ²))
but only the one with the positive square root satisfies the initial condition:
√(2 - cos(0²)) = √1 = 1
-√(2 - cos(0²)) = -√1 = -1 ≠ 1
So the unique solution to this DE is
y = √(2 - cos(x ²))
find the values of x and y
Answer:
y = 60°
x = 12
Step-by-step explanation:
Because all sets of opposite sides are parallel, opposite angles are equal, and opposite sides have the same length.
What’s 625x52 please help
Answer: 32,500
Step-by-step explanation: i don't know
Answer:
32500
Step-by-step explanation:
Without using a calculator
625*52 = (625*4) * (52/4) = 2500 * 13 = 32500
find the equation of the striaght line passing through (3, 5) which is perpendicular to the line y=3x+2
Answer:
pls provide with a graph
HELPP PLEASEE TELL ME WHICH IS RIGHT AND WRONG AND HELP KE EXPLAIN I DONT WANNA FAIL SUMMER SCHOOL NO LINKS OR FILE WOULD BE DEEPLY APPRECIATED
Answer:
Orca Correct, Sea Star Wrong. Heart it if it was helpful :D
Step-by-step explanation:
11-4=7. Orca correct.
Sea star...11-4=7
Wrong its 7, not -7
Answer:
The orca is right and the sea star is wrong.
If you were to add 11 to -4, it would no longer be a negative number.
You take four out of 11 which would bring it to a zero. There would be 7 left, therefore the answer being a positive 7.
A brand new car was purchased for $28,000 in year 2000. The car value has dropped to
$20,000 in year 2003. What could be considered as the rate of depreciation?
(Round your answers to the nearest 10th.)
Answer:
The rate of depreciation is 11.87% per year.
Step-by-step explanation:
Given that a brand new car was purchased for $ 28,000 in year 2000, and the car value has dropped to $ 20,000 in year 2003, to determine what could be considered as the rate of depreciation, the following calculation must be performed:
20,000 x (1 + X / 1) ^ 3 = 28,000
20,000 x X ^ 3 = 28,000
20,000X ^ 3 = 28,000
X = 1.1187
Therefore, the rate of depreciation is 11.87% per year.
Why is it important for the leading coefficient
to be nonzero?
Answer:
Because if it is zero, then it is multiplied the variable and it will be zero. For example if I had 0x(squared) + x, it would just be x because zero times any number is zero. Looking at the problem, I would assume it was quadratic because it had x squared, but it isn't because there are 0 x squared values.
Step-by-step explanation:
Find the slope of each line -2 -2, +2 +2
Help needed
Answer:
(x-2)²=9
sqrt both sides
don't forget positive and negative roots
x-2=+/-3
well, she is partially correct
x-2=3 is one answer
she didn't remember the other one the x-2=-3
Step-by-step explanation:
(x-2)²=9
sqrt both sides
don't forget positive and negative roots
x-2=+/-3
well, she is partially correct
x-2=3 is one answer
she didn't remember the other one the x-2=-3
Your shop employs seven people. Today two people are sick. What fraction represents the employees who are sick
Answer:
2/7 of represents employees who are sick
Step-by-step explanation:
Question:
What fraction represents the employees who are sick
Total People = 7
sick people =2
numerator/denominator
2/7
A. $24.28
B. $30.35
C. $20.23
D. $16.19
9514 1404 393
Answer:
c. $20.23
Step-by-step explanation:
The overhead cost per labor hour is found by dividing overhead costs by labor hours:
$163,900/(8100 h) = $20.23 /h
The factory overhead rate is $20.23 per labor hour.
Find the equation of the line passing through the points (6,7) and (9,1)
Answer: y = -2x + 19
Step-by-step explanation:
The function formula would be: y = ax + b
The slope(a) can be found with the formula [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]:
[tex](x_{1}, y_{1})=(6,7)\\(x_{2}, y_{2})=(9,1)[/tex]
[tex]\frac{1-7}{9-6} =\frac{-6}{3} =-2[/tex]
The y-intercept(b) can be found by substituting in values of a coordinate:
[tex](6,7)\\y=-2x+b\\7=-2(6)+b\\7=-12+b\\7+12=b\\b=19[/tex]
Therefore, the function is y = -2x + 19
PLEASE SOMEONE HELP ME ILL MARK BRAINLESS AND PLEASE EXPLAIN AHHHH HELP
Step-by-step explanation:
The 2 lines are parallel to each other which means that angle #5 and 93° are alternate interior angles so by definition, they are equal. Hence angle 5 = 93°
(x + 3)/(3x - 2) - (x - 3)/(3x + 2) = - 22/(9x ^ 2 - 4)
Answer:
x = -1
Step-by-step explanation:
A certain factory produces and sells 8000 cars per month, making a monthly net profit of P dollars. They sell
each car for n dollars and it costs them c dollars to produce a single car.
Write an equation that relates P. n, and c.
Answer:
p= 8000n-8000c
Step-by-step explanation:
8000
p= n - c
or
p= 8000n-8000c
Esentially you need to subtract n, the amount they sell each car for by c, the amount it costs to produce a car, (which should be less because the company has to make money) this would give you the total they make a month, P.
Because the amount of cars is constant, 8000, you can always multiply the cost of the car and how much its sold for by 8000. Otherwise, you would have another variable like k, which would be how many cars sold
help me I got 25 missing assignments
[tex]0.5 - ( - 10.5 \times 5) + 40.5[/tex] = [tex]\boxed{93.5}[/tex]
A. 93.5 ✅
Step-by-step explanation:-
[tex]0.5 - ( - 10.5 \times 5) + 40.5 \\ = 0.5 - ( - 52.5) + 40.5 \\ = 0.5 + 52.5 + 40.5 \\ = 93.5[/tex]
Note:-
[tex]\sf\purple{BODMAS\: rule.}[/tex]
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Answer:
93.5
Step-by-step explanation:
See the steps below:)
What’s the answers?
Answer:
Step-by-step explanation:
1). If the given triangles are similar their corresponding sides will be proportional.
[tex]\frac{8}{a}= \frac{8}{12}=\frac{5}{b}[/tex]
[tex]\frac{8}{a}= \frac{8}{12}[/tex]
[tex]a=\frac{12\times 8}{8}[/tex]
[tex]a=12[/tex]
[tex]\frac{8}{12}=\frac{5}{b}[/tex]
[tex]b=\frac{5\times 12}{8}[/tex]
[tex]b=7.5[/tex]
2). By using proportional relationship in the similar polygons,
[tex]\frac{3}{c}=\frac{6}{8}[/tex]
[tex]c=\frac{8\times 3}{6}[/tex]
[tex]c=4[/tex]
d = 8
c = e = 4
3). If the pentagons are similar their corresponding sides will be proportional.
[tex]\frac{6}{g}=\frac{8}{18}=\frac{10}{h}= \frac{8}{I}=\frac{6}{f}[/tex]
[tex]\frac{6}{g}=\frac{8}{18}[/tex]
[tex]g=\frac{18\times 6}{8}[/tex]
[tex]g=13.5[/tex]
[tex]\frac{8}{18}=\frac{10}{h}[/tex]
[tex]h=22.5[/tex]
[tex]\frac{8}{18}=\frac{6}{f}[/tex]
[tex]f=13.5[/tex]
[tex]\frac{8}{18}= \frac{8}{I}[/tex]
[tex]I=18[/tex]
What is the least number of bottles that can be packed in 4-packs or 6-packs without a remainder?
Answer:
4 bottles i think but you should check with someone else too
Answer:
4 bottles i think but you should check with someone else too
Step-by-step explanation: