Answers
Answer:
Start at the positive
x
-axis, then rotate left by the desired angle.
Explanation:
Standard position means the first arm of the angle is the positive
x
-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.
As a basic example, the symbol
∠
is about a 45° angle in standard position.
To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.
If our angle was 90°, the terminal arm would be on the positive
y
-axis.
If our angle was 180°, it would be on the negative
x
-axis.
Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.
graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}
(ignore the part of the line in quadrant 4)
Step-by-step explanation:
Related Questions
Figure ABCD is a parallelogram.
Parallelogram A B C D is shown. The length of A B is 4 y minus 2, the length of B C is 2 x + 2, the length of D C is 2 y + 6, and the length of A D is 3 x minus 1.
What is the perimeter of ABCD?
14 units
38 units
44 units
49 units
Answers
Answer:
It is 44
Step-by-step explanation:
The perimeter of the paralllelogram given is: 44 units.
What is the Perimeter of a Parallelogram?Perimeter = 2(a + b), where a and b are the legs of the sides adjacent to each other.
Given the following:
AB = 4y - 2BC = 2x + 2DC = 2y + 6AD = 3x - 1Since opposite sides of a parallelogram are equal, therefore:
4y - 2 = 2y + 6
4y - 2y = 2 + 6
2y = 8
y = 4
2x + 2 = 3x - 1
2x - 3x = -2 - 1
-x = -3
x = 3
Perimeter of the paralllelogram = 2(AB + AD) = 2(4y - 2 + 3x - 1)
Plug in the values of x and y
Perimeter of the paralllelogram = 2(4(4) - 2 + 3(3) - 1)
Perimeter of the paralllelogram = 2(16 - 2 + 9 - 1)
Perimeter of the paralllelogram = 44 units.
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PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate
Answers
Answer:
(0.5, -3.5)
Step-by-step explanation:
(x1 + x2/2, y1 + y2/2)
(-2 + 3 / 2, -5 - 2 / 2)
(1/2, -7/2)
* please help*
What are the solutions of equation (x — 2)^2 = -3x + 6
Select all that apply.
A X= -3
B. X= -2
C. X= -1
D. x= 3
E. x= 1
F. X= 0
G. X= 2
Answers
Answer:
C and G
Step-by-step explanation:
Given
(x - 2)² = - 3x + 6 ← expand left side using FOIL
x² - 4x + 4 = - 3x + 6 ( subtract - 3x + 6 from both sides )
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2 → G
x + 1 = 0 ⇒ x = - 1 → C
On a coordinate plane, triangle A B C has points (negative 2, negative 1), (negative 2, negative 3), (negative 5, negative 1). Triangle ABC is translated 6 units to the right and 1 units up. What are the coordinates of C'? C'(4, –2) C'(4, –0) C'(4, 2) C'(1, 2)
Answers
Answer:
The answer is A
Step-by-step explanation:
C’(4, –2)
The coordinates of C' are (1, 0)
What is translation?A translation moves a shape up, down or from side to side, but it does not change its appearance in any other way.
Given that, On a coordinate plane, triangle A B C has points (-2, -1), (-2, -3), (-5, -1).
When Triangle ABC is translated 6 units to the right and 1 units up.
We know that rule for translating b unit up and a unit right is
(x, y) → (x+a, y+b)
Hence, the coordinates for C' =
(-5, -1) = (-5+6, -1+1) = (1, 0)
Hence, the coordinates of C' are (1, 0)
For more references on translation, click;
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Using the following image, complete the statement below. I got all the answers I need the ones that is blank
Answers
Answer:
DE is congruent to BE , ED is congruent is EB and the last one is midpoint.
Step-by-step explanation:
In the diagram below of triangle PQS, S is the midpoint of PR and T is the midpoint of QR. If ST = 5x - 22, and PQ = 3x + 19, what is the measurement of PQ?
Answers
Answer:
PQ = 46
Step-by-step explanation:
The midsegment ST is half the length of the third side PQ , that is
ST = [tex]\frac{1}{2}[/tex] PQ , so
5x - 22 = [tex]\frac{1}{2}[/tex] (3x + 19) ← multiply both sides by 2 to clear the fraction
10x - 44 = 3x + 19 ( subtract 3x from both sides )
7x - 44 = 19 ( add 44 to both sides )
7x = 63 ( divide both sides by 7 )
x = 9
Then
PQ = 3x + 19 = 3(9) + 19 = 27 + 19 = 46
A circle has a radius of 6cm. What is the area of a sector subtended by an angle of 30 degrees
Answers
Answer:
1/12 of the area of the circle
Step-by-step explanation:
Since the total angle measure of a circle is 360 degrees, a 30 degree sector is 30/360=1/12
PLEASE HELP! Which is not a mathematical sentence?
A. 8 + 7 = 15
B. k+ 2<6
C. n+ 19
D. 222
Answers
Answer:
D
Step-by-step explanation:
its just rabdom numbers
Answer:
D thats just a number no sequence or any thing
Step-by-step explanation:
1. What is the value of the digit 7 in the number 176 354?
Answers
Answer:
7 thousand because in word it is 0me hundred and seventy six thousand three hundred and fifty four
Answer:
tens of thousands
Step-by-step explanation:
Find the lateral area of this square based pyramid. 10in 5 in [ ? ]in?
Answers
Answer:
Step-by-step explanation:
Lateral area, Al = a√(a² + 4h²)
Where,
a = base edge = 5 in
h = height = 10 in
Lateral area, Al = a√(a² + 4h²)
= 5√(5² + 4*10²)
= 5√(25 + 4*100)
= 5√(25 + 400)
= 5√425
= 5 * 20.615528128088
= 103.07764064044
Approximately,
Lateral area = 103.08 in²
Answer: 100
Step-by-step explanation: each side has an area of 10*5/2, or 25, and there are 4 lateral sides, so times 4, it's 100
Convert the following decimal to fraction 3.04
Answers
Answer:
3 1/25
Step-by-step explanation:
3.04
Do the decimal part first
.04 = 4/100
Reduce - cancel out 4
1/25
Put back the whole number
3 1/25
Answer:
3 [tex]\frac{1}{25}[/tex]
Step-by-step explanation:
I agree with the previous answer :
You need to do it part by part.
0.04 is equal to [tex]\frac{4}{100}[/tex]
[tex]\frac{4}{100}[/tex] simplified (we divide by 4 with both the denomantor and the numerator.) =
[tex]\frac{1}{25}[/tex]
And we still have those 3 wholes that we had in the beginning.
Now we add.
3 + [tex]\frac{1}{25}[/tex] = 3 [tex]\frac{1}{25}[/tex]
complete the table of values for y=2x+3
Answers
x: -2, -1, 0, 1, 2
y: -1, 1, 3, 5, 7
:)
What percent is represented by the shaded area?
Answers
Answer:91%
Step-by-step explanation:
express as a single faction
[tex] \frac{x} {4} + \frac{x}{4} [/tex]
Answers
[tex] \: \: \: \: \: \: \huge \rm{answer :} \: { \boxed{ \rm\frac{x}{2} }}[/tex]
[tex] \huge \blue{ \boxed{ \pink{\boxed{ \blue{\rm{armed} \: \pink{account}}}}}}[/tex]
[tex] \huge \rm\frac{x} {4} + \frac{x}{4} \\ \\ \huge \rm\frac{x + x}{4} \\ \\ \huge \rm \frac{2x}{4} \\ \\ \huge \blue{ \boxed{ \pink{ \rm \: \frac{x}{2} \: }}}[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
I hope you understood!✏
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
[tex] \huge\boxed{ \boxed{ \rm{Hope \: this \: helps }}}[/tex]
Helpppppp pls
Find h.
h = [?] in
Answers
Answer:
h=rt.96=4 rt.6
Step-by-step explanation:
r=2 inches
therefore 100= root over h + 4
=>h=rt.96=4 rt.6
Evaluate e^4 to one decimal place
Answers
Answer:
The answer is going to be the general form for e^x = 1 + x/(1!) + + x^2/(2!) + x^3/(3!) +.....,. till infinity so : e^4 = 1 + 4/1 + 16/ 2 + 64/6 + 256/24 + 1024/ 120 + 4096/720 + 16384/5040 +...till the fraction is<0.1 = 54.6
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = - 16t^2 + 48t where t equals the time in seconds and the h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent? Help please!!!
Answers
Answer:
x = 3/2
The axis of symmetry is located at the vertex,
which is the also the highest point in this problem...
the x component of the vertex can be calculated as -b/2a = -48/-32 = 24/16 = 6/4 = 3/2
x = 3/2
Step-by-step explanation:
Given the equation −4square root of x minus 3 = -12, solve for x and identify if it is an extraneous solution.
A. x = 0, solution is extraneous
B. x = 0, solution is not extraneous
C. x = 12, solution is extraneous
D. x = 12, solution is not extraneous
Answers
Answer:
D. x = 12, solution is not extraneous
Step-by-step explanation:
-4√(x - 3) = -12
Divide both sides by -4
√(x - 3) = 3
Square both sides
x - 3 = 9
add 3 to both sides
x = 12
To see if it's extraneous plug into original problem
-4√(12 - 3) = -12
-4√(9) = -12
-4 * 3 = -12
-12 = -12
not extraneous
Which of the following is the proper name for the figure below?
T
M
A
y
X
Ο Α. ΔΑΤΧ
Ο Β. ΔΑΤΜ
Ο C. ΔΑΥΜ
Ο D. ΔΑΥΧ
Answers
Answer:
A
Step-by-step explanation:
i don't know the real answer but i have learned it before so it's an educated guess
Dylan is saving money to buy a new bike that costs $195. He has $25 already saved and plans to save $40 each week. Which equation can be used to find the number of weeks he will need to save money to buy the bike?
Answers
Answer:
25+40x=195
Step-by-step explanation:
If he already has $25, you need to add that to 40x (40 times the amount of weeks it takes to get to 195, added with 25).
what is 65 divded by 487
Answers
Answer:
0.13347022587
Step-by-step explanation:
Answer:
7 R 32
Step-by-step explanation:
0 0 7
6 5 4 8 7
− 0
4 8
− 0
4 8 7
− 4 5 5
3 2
Please help me answer this
Answers
The Marked price of a jacket at a dealer's shop is 2400. The dealer allows a discount of 15% to the retailer. As the company's policies the marked price of the retailer should be the same as the dealer's marked price. What SP should the retailer fix for the jacket? What would its final price be if 10% VAT is imposed? What would be the actual gain of retailer?
Ans
2280,2502,240
Answers
Answer:
2400
2640
360
Step-by-step explanation:
I am not sure the description is totally clear.
my assumptions are (based on my interpretations of the text) :
the retailer buys from the dealer with 15% discount.
but the retailer has to sell the jacket for the same price as the dealer.
so, both mark the sale price as 2400.
if the customer buys from the retailer, the retailer makes 15% profit (the discount he got from the dealer).
15% = 2400 × 15/100 = 24 × 15 = 360
the retailer makes this profit no matter what other fees or taxes are added.
if the customer buys from the dealer, the dealer makes these 15% and some more (we don't know how much) profit.
now, the final price is to include also 10% VAT
100% = 2400
1% = 2400 / 100 = 24
10% = 24 × 10 = 240
so,
final price = SP + VAT = 2400 + 240 = 2640
PLEASE HELP IMAGE IS BELOW!!
Answers
Answer:
Number of small boxes shipped = 7
Number of large boxes shipped = 15
Step-by-step explanation:
Let the number of small boxes = s
And the number of large boxes = l
Weight of small box = 25 pound
Weight of the large box = 50 pounds
Total weight of the shipment = 925 pounds
Therefore, equation for the weight of shipment will be,
25s + 50l = 925
s + 2l = 37 ----- (1)
Total number of boxes shipped = 22 boxes
Therefore, equation will be,
s + l = 22 ------(2)
Subtract equation (2) from equation (1)
(s + 2l) - (s + l) = 37 -22
l = 15
From equation (2)
s + 15 = 22
s = 7
Therefore, number of small boxes shipped = 7
Number of large boxes shipped = 15
Of the marbles in a bag, 4 are yellow , 4 are white , and 5 are green . Sandra will randomly choose one marble from the bag. Fill in the blanks in parts a and b. The probability that Sandra will choose a marble from the bag is
Answers
Answer:
Probability[Random choose marble is green] = 5 / 13
Step-by-step explanation:
Given:
Number of yellow marble in bag = 4
Number of white marble in bag = 4
Number of green marble in bag = 5
Find:
Probability[Random choose marble is green]
Computation:
Probability of an event = Number of favourable outcome / Number of total outcome
Probability[Random choose marble is green] = 5 / [4 + 4 + 5]
Probability[Random choose marble is green] = 5 / 13
in a sale, normal prices are reduced by 10%
nathalie bought a pair of shoes in the sale for £54
what was the original price of the shoes
Answers
in a sale, normal prices are reduced by 10%
nathalie bought a pair of shoes in the sale for £54
what was the original price of the shoes
Answer[tex]x = 60[/tex]
Explanation
[tex] \sf based \: on \: the \: given \: conditions \: write : x = \frac{54}{ 1 - 01} [/tex]
[tex] \sf calculate \: the \: sum \: difference: x = \frac{54}{0.9} [/tex]
convert decimal to fraction: x= 54 / 9 / 10
[tex] \sf \: divide \: a \: fraction \: by \: multiplying \: its \: reciprosal : x = 54 \times \frac{10}{9} [/tex]
[tex] \sf \: write \: as \: a \: single \: fraction : x = \frac{54 \times 10}{9} [/tex]
[tex] \sf \: reduce \: fraction \: to \: the \: lowest \: term \: by \: cancelling \: the \: greatest \: [/tex]
[tex] \sf \: common \: factor : x = 6 \times 10[/tex]
[tex] \sf \: calculate \: the \: product \: or \: quotient : x = 60 [/tex]
[tex] \sf{ \boxed{answer : x = 60}}[/tex]
Find the value of x,y,z.
What is value of x,y,z.
Answers
Answer:
[tex]x=7\\y=128\\z=128[/tex]
Step-by-step explanation:
Value of x:-
Form an equation:
[tex]4x+24=7x+3[/tex] {opposite / vertical angles are equal}
Subtract 7x from both sides:
[tex]4x+24-7x=7x+3-7x[/tex]
[tex]-3x+24=3[/tex]
Subtract 24 from both sides:
[tex]-3x+24-24=3-24[/tex]
[tex]-3x=-21[/tex]
Divide both sides by -3
[tex]-3x/-3=-21/-3[/tex]
[tex]x=7[/tex]
Value of y and z:-
Value of x is 7 so replace x in the equations:
[tex]4(x)+24=52\\7(7)+3=52[/tex]
Now that we have the value of x, its easy to find y and z
[tex]52+52+y+z=360[/tex]
{complete circle makes 360°}
[tex]104+y+z=360[/tex]
[tex]y+z=360-104[/tex]
[tex]y+z=256[/tex]
Divide 256 by 2 to get value of each variable:
vertically opposite angles (y & z) are equal
[tex]256/2 = 128[/tex]
[tex]y=128\\z=128[/tex]
∴ CHECK: 128 + 128 + 52 + 52 = 360°
hope this helps...
Answer:
X=7
Y and Z = 128
Step-by-step explanation:
7X+3=4X+24
it is equal coz by the opposite angle
find the value of X
7x+3=4x+24--------------collect like term
3x=21----------divided by 3
x=7
then 7x+3=52
4x+24=52
SR is the line that measure 180°
that means (7x+3)+Z=180°
use the value of X into the equation
Z=180-52
Z=128
it means Z and Y are equal so Y= 128
help meeeeeeeee plssss
Answers
Answer:
5.16 m
Step-by-step explanation:
[tex] \cos( \alpha ) = \frac{bc}{x} \\ \cos(29) = \frac{bc}{5.9} \\ bc = 5.9 \cos(29) \\ bc = 5.16 m[/tex]
The diagonal of a TV is 26 inches long. Assuming that this diagonal forms a
pair of 30-60-90 right triangles, what are the exact length and
width of the TV? PLEASE HURRY
Answers
Answer:
D
Step-by-step explanation:
30-60-90
Hypotenuse = 26
one side is half.
the other side is 1/2[tex]\sqrt{3}[/tex]
Which expression is equivalent to 10k + 17 - 7j - 18 - 11k?
-8jk - 1
-7j - k - 1
-7j + k + 1
-8j - k
PLEASE HURRY !!!!
20 POINTS!!!
Answers
Answer:
-7j-k-1
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
An equivalent expression is an expression which is equal to 10k + 17 - 7j - 18 - 11k. You can expand or simplify an expression to make an equivalent expression. Combine like terms to form a new equivalent expression. Like terms are terms which have the same base or variable.
10k + 17 - 7j - 18 - 11k
10k -11k + 17 - 18 - 7j Move to group like terms together.
-k - 1 - 7j
