What are the coordinates of the terminal point determined t= 10pi/3?
we know that :
10*pi/3------> convert to degrees------> 10*180/3=600 degrees
600=360+240
240 degrees belong to the III quadrant so
the x-coordinate is negative
the y-coordinate is negative
240°=180°+60°
60 degrees is the angle to find the terminal point
let ∅=60°
in the unit circle
r=1 units
x=-r*cos ∅----> x=-cos 60------> x=-(1/2)
y=-r*sin ∅----> y=-sin 60------> y=-(√3)/2
the point is ( -1/2 , -√3/2)
Số nghiệm của pt | 2x-3| - | 3x+2|=0 là?
Answer:
2 solutions
Step-by-step explanat
ion:|2x-3|-|3x-2|=0
<=>|2x-3|=|3x-2|
<=>2x-3=3x-2
Or 2x-3=-3x+2
<=>2x-3x=-2+3
or 2x+3x=2+3
<=>x=-1
Or x=1
PLS HELP ME ON THIS QUESTION!!!
Answer:
210 in³
Step-by-step explanation:
length = 10 in
Width = 7 in
Height = 3 in
Volume of rectangular prism = length * width * height
= 10 * 7 * 3
= 210 in³
Answer: Option D
210 in³
Volume of Rectangular prism = lwh
Height = 3in
Width = 7in
Length = 10in
Volume = 10(7)(3)
Volume = 210 in³
Must click thanks and mark brainliest
#1 with work please
Answer:
-19
Step-by-step explanation:
5v+3w
Let v = -5 and w=2
5(-5) + 3(2)
Multiply first
-25 + 6
The add
-19
1. Evaljate 5v +3w for v = -5 and w = 2
plug-in
5(-5) +3(2)
-25 +6
Answer: -19
2. Simplify the expression 8(e -1) + 2(e -1)
Distribute
8(e -1) + 2(e -1)
8e -8 + 2e -2
10e -10
Answer: 10e -10
Can you check if this text is well written?
It's easy but I'm learning French. I appreciate your help.
Bonjour à tous, aujourd'hui je vais répondre à la question "Qui sont vos sportifs préférés ?
Je vais vous décrire ma athlète préféré et vous devriez y prêter attention. À la fin, vous me direz de qui je parle, d'accord ?
Commençons
Question 1 : Quel sport pratique l'athlète ?
Football, basketball o volleyball.
Elle joue au volley-ball
Ma sportive préférée, c'est une joueuse de volley-ball.
Elle est péruvienne et fait partie de l'équipe féminine péruvienne de volley-ball.
Question 2 : Comment est-elle?
Moche, musclée o petite?
Elle est musclée
Elle est brune et musclée.
Elle est grande et mince aussi.
Elle est très belle.
Question 3 : Comment sont ses cheveux
et ses yeux ?
Ses cheveux et ses yeux sont brunes.
Elle a les cheveux brunes et courtes. Elle a les cheveux frisées aussi.
Ses yeux sont brunes comme ses cheveux.
Question 4 : Quel âge a-t-elle ?
Elle a vingt-quatre ans.
Question 5 : Est-elle de petite taille?
Non, elle est grande.
Elle fait 1 mètre 85!
Elle est très grande
Bonsoir,
"Qui sont vos sportifs préférés ?
Je vais vous décrire mon athlète préférée et vous devrez prêter attention. À la fin, vous me direz de qui je parle, d'accord ?
Commençons
Question 1 : Quel sport pratique l'athlète ?
Football, basketball ou volleyball.
Elle joue au volley-ball
Ma sportive préférée, c'est une joueuse de volley-ball.
Elle est péruvienne et fait partie de l'équipe féminine du Pérou de volley-ball.
Question 2 : Comment est-elle?
Moche, musclée ou petite?
Elle est musclée
Elle est brune et musclée.
Elle est grande et mince aussi.
Elle est très belle.
Question 3 : Comment sont ses cheveux
et ses yeux ?
Ses cheveux et ses yeux sont bruns.
Elle a les cheveux bruns , courts et frisés .
Ses yeux sont bruns( on dirait plutôt marron) comme ses cheveux.
Question 4 : Quel âge a-t-elle ?
Elle a vingt-quatre ans.
Question 5 : Est-elle de petite taille?
Non, elle est grande.
Elle fait 1, 85m!
Solve for x. Enter the solutions from least to greatest. 3x^2-9x-12=0
Lesser x =
Greater x =
I NEED HELP ASAP!!!!!
Answer:
the answer will be..
x=-1
x=4
(x+1) (x-4)
but im sorry i dunno what's lesser and greater means
please help with math!! geometry explain if you can :)
Answer:
Step-by-step explanation:
Applying the midpoint formula to the points (a, 0) and (0, a) looks like this:
[tex]M=(\frac{a+0}{2},\frac{0+a}{2})[/tex] which simplifies to
[tex]M=(\frac{a}{2},\frac{a}{2})[/tex]
Which function is shown in the graph? A. y = (2 + x)/(1 - x) B. y = 5/(3 - x) c . y = (5x)/(1 + x) d. y = (5 + 3x)/(1 + x)
Answer:
I believe it's D
Step-by-step explanation:
You plug in 0 and you get 5 as your Y value
The function of the graph is y = (5 + 3x)/(1 + x), so the correct option is d.
What is graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
The graph is first shifted to the right by 4 units and another one to the left by 1/2.
So, we have:
y = (5 + 3x)/(1 + x)
Hence, the function of the graph is y = (5 + 3x)/(1 + x)
Read more about function transformation at:
brainly.com/question/4289712
#SPJ2
The statements below can be used to prove that the triangles are similar. On a coordinate plane, right triangles A B C and X Y Z are shown. Y Z is 3 units long and B C is 6 units long. StartFraction A B Over X Y EndFraction = StartFraction 4 Over 2 EndFraction ? StartFraction A C Over X Z EndFraction = StartFraction StartRoot 52 EndRoot Over StartRoot 13 EndRoot EndFraction △ABC ~ △XYZ by the SSS similarity theorem. Which mathematical statement is missing?
Answer: c. BC/YZ=6/3
Step-by-step explanation:
trust
Answer: The answer is C. BC/YZ = 6/3
Step-by-step explanation:
Got it right on edge 2023
Can someone please help?
Answer:
1.
C. 6561 is the answer that the table represents
Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 8, 9 ] , then
Continuing the table from x = 6 , multiplying values of y by 3
x y
6 729
7 2187
8 6561
9 19683
f(b) = f(9) = 19683
f(a) = f(8) = 6561
average rate of change = [tex]\frac{19683-6561}{9-8}[/tex] = [tex]\frac{13122}{1}[/tex] = 13122 → B
NEED HELP BEFORE I FAIL PLS :( ITS PYTHAGOREAN THEOREM
Answer:
[tex] \bf \: {c}^{2} = {(56)}^{2} + ( {33)}^{2} \\ = > {c}^{2} = 3136 + 1089 \\ = > {c}^{2} = 4225 \\ = > c = \sqrt{4225} \\ = > c = 65 \: yards[/tex]
Answer:
65..
Step-by-step explanation:
[tex] \sqrt{(56) {}^{2} } + (33) {}^{2} \\ = 65[/tex]
Stacy spent £12 on ingredients for bread.
She made 18 loaves and sold them for £1.10 each.
Calculate her percentage profit.
Answer:
39.4 or 40 % depending on which place you round it to
Step-by-step explanation:
18 * 1.10= 19.8
(19.8 - 12) / 19.8 = 0.39393939...
so 39.4 or 40 % depending on which place you round it to
Write an equation of the line that passes through the given point and is perpendicular to the given line.
(–6, –4); y = 1/3x + 1
Group of answer choices
y = -1/3x + 1
y =1/3x – 22
y = -3x + 14
y = -3x – 22
Answer:
y = - 3x - 22
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 1 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute (- 6, - 4) into the partial equation
- 4 = 18 + c ⇒ c = - 4 - 18 = - 22
y = - 3x - 22 ← equation of perpendicular line
Help me, please I'd appreciate it
Answer:
m = 36
Step-by-step explanation:
A^2 + B^2 = C^2
81 + 144 = 225
square root of 225 = 15
n = 15
m = ?
39 = 39
225 + m ^2 = 1521
m^2 = 1296
m = 36.
CHECK :
225 + 1296 = 1521
CORRECT!
Select the correct answer from each drop-down menu. The asymptote of the function f(x) = 3x + 1 – 2 is ____ Its y-intercept is ____
Answer:
-2
(0, 1)
Step-by-step explanation:
Giveb the function :
F(x) = 3^x + 1 – 2
To obtain the asymptote, take the limit of f(x) as x as tends to ∞
3^(∞+1) - 2 = 0 - 2
Hence,
y = 0 - 2.
y = - 2
The y intercept, this is the value of y when x = 0
Hence, put x = 0
F(0) = 3^(0 + 1) – 2
f(0) = 3^1 - 2
f(0) = 3 - 2
f(0) = 1
Y - intercept = (0, 1)
What is the volume of the sphere below PLEASE HELP FAST
Answer:
c. 256π/3 units^3
Step-by-step explanation:
Recall that the volume V of a sphere with radius r is given as
V = 4 /3πr3
Hence from the image given, the radius of the sphere which is the distance from the center to any point on the circumference is 4 units hence the volume
V = 4/3 * π * 4^3
= 4/3 * π * 64
= 4*64/3 * π
= 256π/3 units^3
Option c is right
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
x + a = ¾
Answer:
x = ¾-a
Step-by-step explanation:
x + a = ¾
Subtract a from each side
x + a -a= ¾-a
x = ¾-a
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
[tex]x+a=\dfrac{3}{4}\\\\x=\dfrac{3}{4}-a\\\\x=\dfrac{3-4a}{4}[/tex]
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
the cost of a ford is 2/13 of the cost of a rolls Royce. If the current price of a rolls Royce is $211 250, what is the cost of a ford ?
These tables of values represent continuous functions. In which table do the
values represent an exponential function?
Answer:
A
Step-by-step explanation:
An exponential function can be written as y = a * bˣ . This means that there is a common ratio, b, between each number.
For A, the ratio between the first and second number is 8/2 = 4, the ratio between the second and third is 32/8 = 4, and so on. This seems correct, but we can check the other tables to make sure.
For B, the ratio between the first and second number is 34/14 ≈ 2.4 and the ratio between the second and third number is 54/34 ≈ 1.6 . These are not equal, so B is incorrect
For C, the ratio between the first and second number is 8/2=4 and the ratio between the second and third number is 14/8 = 1.75 . These are not equal, so C is incorrect
For D, the ratio between the first and second number is 5/4 = 1.25 and the ratio between the second and third number is 6/5 = 1.2 . These are not equal, so D is incorrect
ANSWER IN LESS THAN 10 MINS FOR BRAINLESS!!!!
Answer:
x = -5 and y = -8
Step-by-step explanation:
10.(a) Nadira has some T-shirts that are either white or blue or green.
The numbers of T-shirts are in the ratio white : blue : green= 5:4:1.
48 of the T-shirts are blue.
Work out the total number of T-shirts.
Answer:
120
Step-by-step explanation:
white : blue : green
5 :4 :1
48 are blue
48/4 = 12
Multiply each by 12
white : blue : green
5*12 4*12 1*12
60 48 12
Add the numbers together to get the total
60+48+12
120
Someone please help me out!!!! Its a picture marking brainliest
Answer:
75.875m^2
Step-by-step explanation:
12-4=8
8x4=32
12x4=48
1/2(1.5+4)1.5=4.125
32+48-4.125=75.875
(a The Slant height of a right circular Cone with radius 7cm s 15cm . Find its Curved Surface area
Answer:
The curved surface area of the cone is approximately 329.9 cm²
Step-by-step explanation:
The parameters of the right circular cone are;
The radius of the cone, r = 7 cm
The slant height of the one, l = 15 cm
The curved surface area of a cone, CSA = π·r·l
Therefore;
CSA = π × 7 cm × 15 cm = 105·π cm² ≈ 329.9 cm².
Find the measure of each angle supplementary angles with measures 2X +3 and 3X +2
supplementary angles = the sum of those angles will equal to 180 degrees
so,
2x + 3 + 3x + 2 = 180
5x + 5 = 180
5x = 175
x = 35
angle 1 -> 2x + 3 = 70 + 3 = 73
angle 2 -> 3x + 2 = 105 + 2 = 107
if you want to check, 107 + 73 = 180
hope it helps :)
I need help ASAP pls
Alec pulled a couch 3 meters, using a force of 400 N. The couch weighed 200 N. How do you calculate the work done by Alec?
A . Add 400 to 200
B . Divide 400 by 3
C . Multiply 200 by 3
D . Multiply 400 by 3
Answer:
D
Step-by-step explanation:
It is because work is done when a force cause an object to move in the direction of the applied force.
so work is equal to force × distance
what is the point-slope equation of a line with slope-4 that contains the point (-2 7)\
Answer:
y - 7 = -4 (x + 2)
Step-by-step explanation:
y - 7 = -4 (x + 2)
On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. x 0 1 2 3 4 5 Total P(x) .07 .36 .27 .17 .10 .03 1.00
Answer:
1.96 ;
1.216
Step-by-step explanation:
Given the data :
x : __0 _ 1 _ 2 _ 3 _4 _5 Total
P(x) .07 .36 .27 .17 .10 .03 1.00
. The mean, also called the expected value is defined as ;
E(X) = Σx*p(x)
E(X) = (0*0.07) + (1*0.36) + (2*0.27) + (3*0.17) + (4*0.10) + (5*0.03) = 1.96
The standard deviation, ; √var(x)
Var(X) = Σx²*p(x) - E(X)²
Var(X) = [(0² * 0.07) + (1² * 0.36) + (2² * 0.27) + (3² * 0.17) + (4² * 0.10) + (5² * 0.03)] - 1.96²
Var(X) = 5.32 - 3.8416
Var(X) =14784
SD(X) = √1. 4784 = 1.216
Find the length of side x in simplest radical form with a rational denominator.
4.
609
30°
x
C
Answer: <=
Submit Answer
✓
attempt 1 out of
I really need help with this
Answer:
x=2
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 30 = x/4
4 sin 30 =x
4 ( 1/2) =x
2 =x
(a-√a/√a-1) - (√a+1/a+√a) : √a+1/a. solve a
Answer:
Step-by-step explanation:
[tex]\displaystyle \ \Large \boldsymbol{} \frac{a-\sqrt{a} }{\sqrt{a}-1 } -\frac{\sqrt{a}+1 }{a+\sqrt{a} } :\frac{\sqrt{a}+1 }{a} = \\\\\\\frac{\sqrt{a}(\sqrt{a} -1 ) }{(\sqrt{a}-1) } -\frac{\sqrt{a}+1 }{\sqrt{a}(\sqrt{a}+1 )}\cdot \frac{\sqrt{a}\cdot \sqrt{a} }{\sqrt{a}+1 } = \\\\\\\sqrt{a} -\frac{\sqrt{a} }{1+\sqrt{a} } =\frac{a+\sqrt{a}-\sqrt{a} }{1+\sqrt{a} } = \\\\\\\frac{a}{\sqrt{a}+1 } \cdot \frac{\sqrt{a}-1 }{\sqrt{a}-1} } =\boxed{\frac{a\sqrt{a} -a}{a-1} }[/tex]