Answer:
[tex]\sin \theta = \frac{4}{5}[/tex], [tex]\cos \theta = \frac{3}{5}[/tex]
Step-by-step explanation:
Let be [tex]P(x,y) = \left(\frac{3}{5}, \frac{4}{5} \right)[/tex] the end of the terminal side of angle [tex]\theta[/tex] in standard position, that is, an angle measured with respect to +x semiaxis. By Trigonometry, we know that the sine and the cosine of the angle are, respectively:
[tex]\sin \theta = \frac{y}{\sqrt{x^{2} + y^{2}}}[/tex] (1)
[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
If we know that [tex]x = \frac{3}{5}[/tex] and [tex]y = \frac{4}{5}[/tex], then the sine and the cosine of the angle are:
[tex]\sin \theta = \frac{\frac{4}{5} }{\sqrt{\left(\frac{3}{5} \right)^{2}+\left(\frac{4}{5} \right)^{2}}}[/tex]
[tex]\sin \theta = \frac{4}{5}[/tex]
[tex]\cos \theta = \frac{\frac{3}{5} }{\sqrt{\left(\frac{3}{5} \right)^{2}+\left(\frac{4}{5} \right)^{2}}}[/tex]
[tex]\cos \theta = \frac{3}{5}[/tex]
Simplify 4!
A. 24
B. 10
C. 9
D. 4
Answer:
D
Step-by-step explanation:
A culture of bacteria has an initial population of 15000 bacteria and doubles every 3 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 20 hours, to the nearest whole number?
Answer:
1523905
Step-by-step explanation:
Given the function
P(t) = P0 * 2^t/d
P0 = 15000 ; d = 3.; t = 20
P(20) = 15000 * 2^20/3
P(20) = 15000 * 2^6.66666
P(20) = 15000 * 101.59366
P(20) = 1523905.0
P(20) = 1523905
wht is the gcf of 150
Answer:
gcf of 150 is 150
Step-by-step explanation:
if thats wrong then its 75
Please show full solutions! Will mark brainliest for the best answers! Thanks. Question is attached!
9514 1404 393
9514 1404 393
Answer:
a) P = -28(x -112)² +7500
b) $102.55 or $121.45
Step-by-step explanation:
a) A quadratic relation with a maximum of 7500 at x=112 can be written in vertex form as ...
P = a(x -112)² +7500
The other given point (x, P) = (89, -7312) can be used to find the value of 'a'.
-7312 = a(89 -112)² +7500
-14812 = a(529)
a = -14812/529 = -28
So, the desired quadratic relation is ...
P = -28(x -112)² +7500
__
b) The values of x that make P = 5000 can be found from ...
5000 = -28(x -112)² +7500
-2500 = -28(x -112)² . . . . . . . . subtract 7500
89.286 = (x -112)² . . . . . . . . . . . divide by -28
±9.45 = x -112 . . . . . . . . . . take the square root
x = 112 ± 9.45 = {102.55, 121.45}
Setting the price at about $102.55, or $121.45, will yield a profit of $5000.
what is the answer and how to get it
i’m so bad at this someone please help me lol!
Answer:
It's B
Step-by-step explanation:
B makes the most sense to me
ning Task 2: Radius and Diameter
plete the table by finding the unknown length of the radius
surement)
Radius Diameter
1 120 cm
2 35 m
3 19 km
Answer:
60
27.5
9.5
Step-by-step explanation:
Recall that: D/2 = r
Therefore 120cm÷2 = 60cm
35m÷2 = 27.5m
19km÷2 = 9.5km
10 PTS! NEED HELP ASAP! MATH FINAL! SHOW ALL WORK! NO LINKS!
Manny is starting to save his money now so he can buy a used car. He has $500 to start his savings account with, and plans on depositing $200 each month. Manny's neighbor has agreed to sell him his car when he gets $3500.
Write the equation for this problem:
then, tell how many months it will take for Manny to save up the money for his car
Answer:
500 + 200x = 3500 , 15 months
Step-by-step explanation:
starting 500
200 each month = 200x
Using a linear function, it is found that it will take Manny 15 months to save up the money for his car.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the initial deposit of $500 is the y-intercept, while the monthly deposit of $200 is the slope, hence the amount after n months is given by:
A(n) = 200n + 500.
The number of months it will take to get to $3500 is given by:
200n + 500 = 3500.
200n = 3000
n = 15.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ2
Can someone answer this please
Answer:
x = 31°
Step-by-step explanation:
All the angles given, a, 2x, and 3x, form a straight lines, so therefore, they add up to 180°. We can write an equation from the info:
a + 2x + 3x = 180°
We know a is 25°, so we can substitute that in:
25° + 2x + 3x = 180°
Combine like terms...
25° + 5x = 180°
And solve.
5x = 155°
x = 31°
Im not good at math plz help :)
Answer:
D. 23/27
Step-by-step explanation:
The good news is, they wrote out all the possible options for you.
There are 27 possibilities in all, so that's our denominator.
They want to know which possibilities have a W in there OR an R comes first. So we'll count up the possibilities that start with R. There are 9.
Then, of the remaining 18, 14 include a W somewhere in there.
9 + 14 = 23 out of 27.
We are not counting the Ws in the possibilities that start with R, because of the OR in the sentence.
Please let me know if you have questions about this.
Job seekers should try to work for their preferred companies __________. A. without searching the job market B. even if it is not the ideal position C. even if there are no current openings D. only if they know someone at the company
Step-by-step explanation:
a:without searching the job market
Answer:
A
Step-by-step explanation:
Find the equation of the parallel to the line 3x-2y=5 and passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
Given:
The equation of parallel line is:
[tex]3x-2y=5[/tex]
The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
To find:
The equation of required line.
Solution:
Midpoint of line segment joining the points (-4,2) and (2,4) is:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)[/tex]
[tex]Midpoint=\left(-1,3\right)[/tex]
It means the required line passes through the point (-1,3).
The slope of line [tex]Ax+By=C[/tex] is:
[tex]m=\dfrac{-A}{B}[/tex]
The given equation is:
[tex]3x-2y=5[/tex]
Here, A=3 and B=-2. So, the slope of the line is:
[tex]m=\dfrac{-3}{-2}[/tex]
[tex]m=1.5[/tex]
Slope of parallel lines are same. So, the slope of the required line is 1.5.
The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-3=1.5(x-(-1))[/tex]
[tex]y-3=1.5(x+1)[/tex]
[tex]y-3=1.5x+1.5[/tex]
Adding 3 on both sides, we get
[tex]y=1.5x+1.5+3[/tex]
[tex]y=1.5x+4.5[/tex]
Therefore, the equation of the required line is [tex]y=1.5x+4.5[/tex].
Could you please help me with this!!
Answer:
35%
Step-by-step explanation:
7/20 = 35%
Answer:
Step-by-step explanation:
7 /20 = 0.35 = 35%
Rewrite the equation in standard form.
x^2=−x−3
Standard form: ____ =0
Answer:
x^2+x+3=0
Step-by-step explanation:
x=-(1+√1-12)/2
Given the arithmetic sequence a, = -5 + 3(n - 1), what is the domain for n? (1 point)
Answer:
n=a/3+8/3
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable
Janice runs 2 miles in 24 minutes, 3 miles in 36 minutes, and 5 miles in 60 minutes.
Predict how long it would take her to run 4 miles.
Answer ASAP
Answer:
It will take Janice 48 minutes to run 4 miles.
Step-by-step explanation:
She is running 1 mile every twelve minutes, so 4*12 will give you the answer, which is 48 minutes.
\Six times a larger number is equal to the sum of a smaller number and 18. The difference of twice the larger number and the smaller number is 6. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
y = 6 x + 18. y = 2 x minus 6.
y = 6 (x + 18). Y = 2 (x minus 6).
y = one-sixth x + 3. y = one-half x + 6.
y = one-sixth x + 3. y = one-half x + 3.
Answer:
last option: y = 1/6x+3; y = 1/2x+3
Step-by-step explanation:
6y = x + 18
Solve the above for 'y' to get:
y = 1/6x + 3
2y - x = 6
Solve the above for 'y' to get:
2y = x + 6
y = 1/2x + 3
Peter wants to purchase a car that costs $3,200. He signs an installment agreement
requiring a 25% down payment. He currently has $650 saved. Does he have enough for the Down payment
Answer:
the answer is No
Step-by-step explanation:
he needs $800 yet he only has $650, he will need $150 more
A gas balloon occupies 2.25 L at 298 K and 300 kPa. At what temperature
will the balloon expand to 3.50 L and 220 kPa?
1721.95 K
339.94 K
740.49 K
0 261.23 K
Answer:1721.95
Step-by-step explanation:
Use the diagram to solve for the indicated measures.
What is the sum of the first 20 terms of the arithmetic sequence shown? \displaystyle \frac{1}{3} 3 1 , \displaystyle \frac{2}{3} 3 2 , 1, \displaystyle \frac{4}{3} 3 4 , \displaystyle \frac{5}{3} 3 5 , ...
Answer:
70
Step-by-step explanation:
[tex]a_1[/tex] = First term = [tex]\dfrac{1}{3}[/tex]
[tex]d[/tex] = Common difference = [tex]\dfrac{2}{3}-\dfrac{1}{3}=\dfrac{1}{3}[/tex]
[tex]n[/tex] = Number of terms = 20
Sum of arithmetic progression is given by
[tex]S=\dfrac{n}{2}[2a_1+(n-1)d]\\\Rightarrow S=\dfrac{20}{2}\times (2\times \dfrac{1}{3}+(20-1)\dfrac{1}{3})\\\Rightarrow S=70[/tex]
The sum of the first 20 terms of the arithmetic sequence is 70.
the florida gators football team recorded the following yardage in seven plays, 9, -3, -5, 0, 12, 20, and -4, order these from greatest to least
HELP ME REALLY FAST
I WILL MARK BRAINLIEST
Find the median of the data set:
10, 9, 4, 8, 8, 3, 6, 8.
Answer:
The median is 8
Step-by-step explanation:
Hope this helps
Olivia flips a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6. One side of the counter is red. The other side is yellow. She performs this experiment 80 times. The relative frequency of tossing red and spinning a number greater than three was 2/5 . What is the difference between the number of expected outcomes and the number of actual outcomes?
Answer:
12
Step-by-step explanation:
A 2 - sided counter ; (red, yellow)
A spinner (1,2,3,4,5,6)
Number of trials = 80
P(red and number > 3) :
P(red) = 1/2 ;
P(number >3) : numbers greater Than 3 = (4, 5, 6)
Hence, P(number <3) = 3 /6 = 1/2
Theoretical probability = 1/2 *1/2 = 1/4
Expected number of outcomes :
1/4 * number of trials
1/4 * 80 = 20
Experimental outcome :
Relative frequency = number of outcomes / number of trials
Relative frequency = 2/5
Hence,
2/5 = number of outcomes / 80
Cross multiply :
160 = number of outcomes * 5
Number of outcomes = 160 /5 = 32
Actual outcomes = 32
Difference between actual and expected :
32 - 20 = 12
HELP PLEASE SOON :DDDDDD
Answer:
i put my money on the 2nd tho
Step-by-step explanation:
Answer:
Top Right
Step-by-step explanation:
More money was spent on fall then on the spring dance. If you look at the graph, one is higher on the amount of money spent.
Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E
Answer:
Reflected across x-axis followed by a dilation with a scale factor of 2 about the origin.
Step-by-step explanation:
It's clear from the graph,
Polygon ABCDE is reflected across x-axis then dilated so that it overlaps polygon A'B'C'D'E'
Let's choose a point A having coordinates (-2, -1)
By reflecting point A across x-axis,
Rule to be followed for the reflection,
(x, y) → (x, -y)
By this rule, coordinates of the image point A will be,
A(-2, -1) → A"(-2, 1)
Now point A"(-2, 1) has been dilated by a scale factor = k to form an image points A'(-4, 2).
Rule for the dilation of a point about the origin is,
A"(x, y) → A'(kx, ky)
A"(-2, 1) → A'(-2k, k)
Since, coordinates of point A' are (-4, -2),
Therefore, -2k = -4
k = 2
k = 2
Hence, polygon ABCDE was reflected across x-axis followed by a dilation with a scale factor of 2 about the origin to form polygon A'B'C'D'E'.
HELP I'LL GIVE EXTRA POINTS
Step-by-step explanation:
5x+5+79+11x=180°{sum of angle of triangle}
16x+84=180°
x=96/16
x=6
now angle A=5x+5
5×6+535°stay safe healthy and happy.Answer:
5x+5+11x=180-79
16x=101-5
16x=96
x=6
Measure of angle A=5x+5
=(5×6)+5
=35
What is the magnification formula?
StartFraction h Subscript I Baseline over h Subscript o Baseline EndFraction equals StartFraction d Subscript I Baseline over d Subscript o Baseline EndFraction.
The negative of StartFraction h Subscript I Baseline over h Subscript o Baseline EndFraction minus StartFraction d Subscript I Baseline over d Subscript o Baseline EndFraction. = 1
StartFraction h Subscript o Baseline over h Subscript i Baseline EndFraction equals the negative of StartFraction d Subscript I Baseline over d Subscript o Baseline EndFraction.
The negative of StartFraction h Subscript I Baseline over h Subscript o Baseline EndFraction equals StartFraction d Subscript o Baseline over d Subscript i Baseline EndFraction.
Answer:
It is option A
Step-by-step explanation:
And the "suck it" guy is a loser :)
Answer:
Inverted, Real, and Behiend the lens
Step-by-step explanation:
Please help me thanks please
I will give you brainlest
please help asap! thank you so much! Select the correct answer.
What is the complete factorization of x2 + 4x - 45?
OA. (x + 15)(x-3)
OB. (x-9)(x+5)
OC. (x + 9)(x-5)
OD.
(x- 15Xx+3)
the answer is C. (x+9)(x-5)
Answer:
The answer is C :)
Step-by-step explanation: