Answer:
the answer is found at option D
What are the coordinates of the terminal point for 8 = 4pie/3?
9514 1404 393
Answer:
B
Step-by-step explanation:
(4π)/3 is a 3rd-quadrant angle with a reference angle of π/3 = 60°. This means both coordinates of the terminal point are negative, and the x-coordinate has the smaller magnitude. The only applicable choice is ...
B. (-1/2, -√3/2)
which of the following values are in the range of the function graphed below?
Answer:
f)0
Step-by-step explanation:
HELP PLEASE
Question: 1. Line segment AB has endpoints A(8, 3) and B(2, 6). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:2. 2. Line segment AB has endpoints A(6, 4) and B(2, 6). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3.
Answer:
a) (6,4)
b) (5, 4.5)
Step-by-step explanation:
much like when you find them midpoint where you average the x-coordinates and the y-coordinates to find the midpoint coordinates, you'll do the same thing here.
to set context, a midpoint would break the segment into a ratio of 1:1.
so in the first part, a ratio of 1:2 means you are breaking the segment into 3-parts. So you'll do this for the coordinates:
[tex]x = \frac{8 + 2}{3} \: and \: y = \frac{3 + 6}{3} [/tex]
for the second part as the ratio is 1:3, you are breaking the segment into 4 parts.
[tex]x = \frac{6 + 2}{4} \: and \: y = \frac{4 + 6}{4} [/tex]
please help me do this i need it
Answer:
(x+1)(3x+2) is the answer
Answer:
Step-by-step explanation:
3x^2+5x+2
3x^2+(3+2)x+2
3x^2+3x+2x+2
3x(x+1)+2(x+1)
(3x+2)(x+1)
Point P is the center of the circle below. What is the exact area
of the shaded sector in terms of pi?
A. 16 pie units?
B. 48 pi units?
C. 120 pi units?
D. 192pi units
NEED HELP ASAP PLEASE
Answer:
[tex]Area =192\pi[/tex]
Step-by-step explanation:
Given
[tex]\theta = 120^o[/tex]
[tex]r =24[/tex]
Required
The area of the shaded sector
This is calculated as:
[tex]Area =\frac{\theta}{360} * \pi r^2[/tex]
This gives
[tex]Area =\frac{!20}{360} * \pi *24^2[/tex]
[tex]Area =\frac{1}{3} * \pi *576[/tex]
[tex]Area =\pi *192[/tex]
[tex]Area =192\pi[/tex]
For the sample standard deviation(s) for situations involving means, explain whether it affects the width of a confidence interval, the center of a confidence interval, neither, or both.
Answer:
Affects the width of a confidence interval, as the margin of error is a function of the sample standard deviation.
Step-by-step explanation:
When we have the standard deviation for the sample, the t-distribution is used to solve the question.
It does not affect the center of the interval, which is a function only of the sample mean.
Width of a confidence interval:
The width of a confidence interval is a function of the margin of error, which is:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
In which s is related to the sample standard deviation. Thus, since s and M are directly proportional, a higher standard deviation makes the interval wider, lower standard deviation makes the interval narrower, and thus, the sample standard deviation affects the the width of a confidence interval.
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
8 x 13 = 104 yd^2
Step-by-step explanation:
To find the area of a rectangle we use the basic formula:
L x W
In this case 13 is your width and 8 is your length, multiply the two given lengths to get your area which is 104.
The scores on an exam are normally distributed, with a mean of 82 and a standard deviation of 10. What percent of the scores are less than 62?
Answer:a
a
Step-by-step explanation:
i took the test
(–2) + 6 + 1 = 1 + 6 + (–2) =
Answer:
5=5
Step-by-step explanation:
Karen and Dale and Tom sent a total of 84 messages during the weekend. Dale sent six fewer messages and Karen and Tom sent four times as many as Karen. How many did they send each.
Answer:
Karen: 15; Dale: 9; Tom: 60
Step-by-step explanation:
"Karen and Dale and Tom sent a total of 84 messages during the weekend."
k + d + t = 84
"Dale sent six fewer messages than Karen"
d = k - 6
"Tom sent four times as many as Karen."
t = 4k
Substitute k - 6 for d and 4k for t in the first equation.
k + d + t = 84
k + k - 6 + 4k = 84
6k - 6 = 84
6k = 90
k = 15
d = k - 6 = 16 - 6 = 9
t = 4k = 4(15) = 60
Answer: Karen: 15; Dale: 9; Tom: 60
measure the bearing from b to a then bearing from a to b
Answer:
[tex]ax \: \: \: \: \: \: \: \:xb[/tex]
find the midpoint of A and B where A has tge coordinates (8, 5) and B has the coordinates (3, 7)
Answer:
[tex]midpoint = ( \frac{8 + 3}{2} , \: \frac{5 + 7}{2} ) \\ = ( \frac{11}{2} , \: \frac{12}{2} ) \\ = (5.5, \: 6)[/tex]
A study found that 62% of drivers believe that they are equally capable of driving a car when texting and when not texting. Of those 62%, 34% had been in an accident; 75% of those had been texting. Which of the following inferences can be made from this data?
A large number of drivers overestimate their abilities.
Most drivers are capable of texting and driving simultaneously.
25% of those texting do not get into accidents.
38% of drivers are more cautious than the rest.
Answer:
your answer is c
Step-by-step explanation:
With sales tax, it costs $707 to buy a $700 dining room table. What is the sales tax
percentage?
Write your answer using a percent sign (%).
Answer:
1%
Step-by-step explanation:
707-700=7 tax
700 x tax percentage=7
tax percentage =7/700
Tax percentage= .01 0r 1%
What is the nth term rule of the linear sequence below?
22
,
18
,
14
,
10
,
6
,
.
.
.
Answer:
tn=a+(n-1)d
tn=22+(n-1)4
tn=22+4n-4
tn=4n+18
Find the circumference of a circle with diameter,
d
= 6cm.
Give your answer in terms of
π
.
Answer:
6π cm
Step-by-step explanation:
5/4 to the 3rd power
Answer:
1.953125 is the answer I believe
or 125/64
or 1 61/64
help me pleaseeeeeewew fqe
Answer:
Step-by-step explanation:
2x+3x-5=180 degree(being co interior angles)
5x=180+5
x=185/5
x=37
substitute the value of x
VWT=3x-5
=3*37-5
=111-5
=106
therefore VWT=106 degree
Special Right Triangles
Guided Practice
Find the values of x and y.
A. x=30, y=10V3
B. x= 10, y=30V3
C. x= 30 V3, y=10
D. x=10V3, y=30
y
30°
2013
Need help ASAP
Answer:
A.
x = 30
y = 10√3
Step-by-step explanation:
Reference angle = 30°
Opposite = y
Adjacent = x
Hypotenuse = 20√3
✔️To find x, apply CAH:
Cos 30 = Adj/Hyp
Cos 30 = x/20√3
20√3 × Cos 30 = x
20√3 × √3/2 = x (cos 30 = √3/2)
(20√3 × √3)/2 = x
(20 × 3)/2 = x
60/2 = x
30 = x
x = 30
✔️To find y, apply SOH:
Sin 30 = Opp/Hyp
Sin 30 = y/20√3
20√3 × Sin 30 = y
20√3 × ½ = y (sin 30 = ½)
(20√3 × 1)/2 = y
(20√3)/2 = y
10√3 = y
y = 10√3
. Chad's pay rate for babysitting is y = 9x, where x is the number of hours he babysits, and y is the number of dollars he earns. Horatio's pay rate is shown in the graph below. Horatio's Babysitting Pay Rate. Which of the following statements is true? * HORATIO'S BABYSITTING PAY RATE 100 90 80 70 60 Dollars Earned (8.60) 50 40 30 20 10 (4, 30) 0 1 2 3 4 5 6 7 8 9 10 Hours A. Chad makes $1.00 more per hour than Horatio. O B. Chad makes $1.50 more per hour than Horatio. C. Chad makes $1.00 less per hour than Horatio. D. Chad makes $1.50 less per hour than Horatio.
Answer: Chad Makes $1.50 more
Step-by-step explanation:
You have to divide 30 from 4 to see Horatio’s hourly rate which is 7.5 and then you will see that 9 - 7.5 is 1.5. I hope this helped
Solve for x if ab ≠ 2c
[tex]x = \frac{ac + b}{2c - ab} [/tex]
Refer to the attachment for step by step explaination.
Answer:
[tex]x=\frac{b+ax}{2c-ba}[/tex]
Step-by-step explanation:
When given the following expression, one is asked to solve for (x):
[tex]\frac{2x-a}{b}=\frac{ax+1}{c}[/tex]
Use cross products to rid the variable in the denominator,
[tex]c(2x-a)=b(ax+1)[/tex]
Simplify, distribute, multiply every term in the parenthesis by the term outside of it,
[tex]2xc-ac=bax+b[/tex]
Inverse operations, collect all terms with variable (x) on one side of the equation:
[tex]2xc-ac = bax + b\\\\2xc - bax = b + ac[/tex]
Factor, remove a like term that exists in both of these expressions,
[tex]x(2c-ba)=b+ax[/tex]
Inverse operations,
[tex]x=\frac{b+ax}{2c-ba}[/tex]
What choices are equivalent to the quotient below ?
OPTION A , C,D
are the correct choices because all of them are equal to √5
Please help I will Mark if your right
Answer:
Line DC.
Step-by-step explanation:
Point D and Point C are not connected and, therefore, do not form a line.
Geometry
DC is not a line, due to it not being connected.
please answer this question.
Answer:
Solution given:
CD=18m
In ∆ ACD
Tan 35=opposite/adjacent
Tan 35=CD/AC
AC=18/Tan35
AC=25.7m
again
In ∆ BCD
Tan 60=opposite/adjacent
Tan 60=CD/BC
BC=18/tan60
BC=10.4
we have
AC=AB+BC
AB=25.7-10.4
AB=15.3
Distance between A and B point is 15.3 metre
Find the total surface area of this triangular prism.
10 cm
6 cm
4 cm
8 cm
Answer:
I need the labels (Height , Width, Length)
Step-by-step explanation:
Find the intercepts and use them to graph the equation. y=x-4
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]y = x -4[/tex]
The intercepts
For y intercept, we have: [tex]x =0[/tex]
[tex]y = x -4[/tex]
[tex]y = 0 - 4[/tex]
[tex]y = - 4[/tex]
For y intercept; we have: [tex]y = 0[/tex]
[tex]y = x -4[/tex]
[tex]0 = x - 4[/tex]
[tex]x = 4[/tex]
So, the intercepts are: (0,-4) and (4,0)
See attachment for graph
A ball is thrown straight down from the top of a building at a velocity of 16 ft/s. The building is 480 feet tall, and the acceleration due to gravity is 32 ft/s2.
This problem can be represented using the following equation.
How much time will the ball take to reach the ground? (1/2)32t^2+16t=480
Answer:
Time, t = 5 seconds.
Step-by-step explanation:
Given the following data;
Initial velocity = 16 ft/s
Height = 480 ft
Acceleration due to gravity = 32 ft/s²
To find how much time it will take the ball to reach the ground, we would use the kinematic equation given by the formula;
[tex] d = V_{i}t + \frac {1}{2}at^{2} [/tex]
Where;
d is the displacement.Vi is the initial velocity.a is the acceleration or acceleration due to gravity.t is the time measured in seconds.Substituting into the equation, we have;
[tex] 480 = 16t + \frac {1}{2}*32t^{2} [/tex]
[tex] 480 = 16t + 16t^{2} [/tex]
Dividing all through by 16, we have;
[tex] 30 = t + t^{2} [/tex]
Re-arranging the quadratic equation, we have;
[tex] t^{2} + t - 30 = 0 [/tex]
We would solve the quadratic equation by factorization;
[tex] t^{2} + 6t - 5t - 30 = 0 [/tex]
[tex] t(t + 6) - 5(t + 6) = 0[/tex]
[tex] (t + 6)(t - 5) = 0 [/tex]
t = -6 or 5
Since we know time can't be negative, we would ignore the value of -6.
Therefore, time = 5 seconds
Si 3 alumnos inasistentes de un curso corresponde al 10%. ¿Cuántos alumnos tiene el curso?
a)13 b) 27 c) 30 d) 110
Question 1 of 10
A density curve for all the possible ages between 0 years and 25 years is in
the shape of a triangle. What is the height of the triangle?
A. 0.04
B. 0.08
C. 0.02
D. 0.16
Step-by-step explanation:
A density curve for all the possible ages between 0 years and 25 years on the shape of a triangle. 0.04
Describe (in words) the curves traced by particles moving in the xy-plane according to the parametric equations in (a–h). You do not have to draw the graphs yourself, but Desmos is still extremely helpful here (5t + 3, 2t − 6) with −2 ≤ t ≤ 3
Answer:
here we have:
x = 5*t + 3
y = 2*t - 6
both for -2 ≤ t ≤ 3
First, we can rewrite:
x = a*y + b
let's try to find the values of a and b.
5*t + 3 = a*(2*t - 6) + b
5*t + 3 = a*2*t + (b - 6*a)
Here we have two equations:
5 = a*2
3 = (b - 6*a)
from the first one, we can solve:
5/2 = a
replacing this into the second, we et:
3 = b - 6*(5/2)
3 = b - 15
3 + 15 = b = 18
Then:
x = (5/2)*y + 18
y = 2*t - 6
So, y is a linear equation that depends on the variable t
x is a linear equation that only depends on x (from this we already know that the graph will be a line)
and we know that −2 ≤ t ≤ 3
Then the minimum value of y is:
y = 2*(-2) - 6 = -10
and the largest value of y is:
y = 2*3 - 6 = 0
So y-varies in the range between -10 and 0
And because x = (5/2)*y + 18
The minimum value of x is:
x = (5/2)*-10 + 18 = -25 + 18 = -7
and the maximum value of x is:
x = (5/2)*0 + 18 = 18
Then we know that this line starts in the point (-10, -7) and ends in the point (0, 18)
