Answers
Answer:
Points A and B are not on the unit circle.
Step-by-step explanation:
Recall that a "unit circle" has a radius of 1, and so if x² + y² ≠ 1, the point is not on a unit circle.
In A we apply the Pythagorean Theorem as follows: 1² + 1² = 2 ≠ 1.
Therefore, point (1, 1) is not a point on the unit circle.
In B: if we square the x and y components and add these squares together, we get 3/4 + 1/9, which does not equal 1. Point not on unit circle.
In C, we get 4/9 and 5/9, which eqals 1. This point C lies on the unit circle.
In D, we get 0.64 + 0.36 = 1, so this point does lie on the unit circle.
Thus: not on unit circle: A(1, 1), B(√3/2, 1/3)
On unit circle: D(0.8, -0.6), C(-2/3, √5/3)
Related Questions
The classroom has 20 students and
1
10
of the students have blonde hair. How many students have blonde hair?
Answers
Answer:
2 students out of 20 have blonde hair.
Step-by-step explanation:
20 was the total number if u divide 20 ÷ by 10 = 2
so 2 is 1/10
because is only 1 out of 10
Answer:
2 students.
Step-by-step explanation:
20 divided by 10 = 2
City Hall is 4 meters shorter than the bank. The bank is 13 meters tall. The hospital is 11 meters tall. How tall is City Hall?
Answers
Answer:
The answer is 9
Because the 4 meters short than bank and ban is 13 meters
So subtract 13 - 4=9
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEHELpppppppppPPPPPPPPPPPPPPPpppppPPPPPPPP
Answers
Answer:
(a) mintutes, seconds
(b) Randomly pick 55 students to run a lap around the track and measure their times
Step-by-step explanation:
(a) When measuring distance like running you measure it in minutes and seconds
(b) When finding the average of a population you have to pick randomly and to get the best results you time them youself
Randomly pick 55 students to run a lap around the track and measure their times.
what is the surface area, in square inches, of the rectangular prism formed by folding the next below?
Answers
Therefore, the surface area of the rectangular prism is 2600 square inches.
What is surface area?In geometry, surface area is the total area that the surface of a 3-dimensional object covers. It is the sum of the areas of all the faces or surfaces that make up the object. Surface area is often used to determine the amount of material needed to cover an object or to calculate the heat transfer between an object and its surroundings.
Here,
To find the surface area of the rectangular prism, we need to find the area of each of its faces and add them together. Looking at the net, we see that there are three pairs of identical rectangles: the top and bottom faces, the front and back faces, and the left and right faces. Each of these rectangles has dimensions of 23 inches by 8 inches.
Therefore, the surface area of the rectangular prism is:
=2 * (23 in. * 8 in.) (top and bottom faces)
=2 * (36 in. * 8 in.) (front and back faces)
=2 * (23 in. * 36 in.) (left and right faces)
= 368 + 576 + 1656
= 2600 square inches
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I need help because I dont quiet understand pls explain?
Explain how to create a graph to model the relationship between the 2 quantities in the table.
Answers
Answer:
For every hour they work (x), they are being paid $25. (d)
Step-by-step explanation:
So, D=25x
Find the value of x
Answers
Answer: 11
Step-by-step explanation:
Without buying points, a monthly mortgage payment will be $958. buying 1 point at closing would reduce the payment to $948.75. if each point costs $1000.00, rounded to the nearest year, how long would it take to break even by buying 1 point? a. 7 years b. 8 years c. 9 years d. 10 years please select the best answer from the choices provided a b c d
Answers
If each point costs $1000.00. how long would it take to break even by buying is:9 years.
TimeFirst step
Monthly savings=$958-$948.75
Monthly savings=$9.25
Second step
Time=(Cost of points/Mothly savings)/ 12 months
Time=($1,000/$9.25)/12 months
Time=108/12 months
Time=9 years
Therefore how long would it take to break even by buying is:9 years.
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the price of a sweater was reduced from $20 to $12. by what percentage was the price of the sweater reduced?
A.8% B.80% C.60% D.40%
PLEASE HELP ME!!!!
Answers
Answer:
40%
Step-by-step explanation:
The original is $20. It is now 12/20 is ?/100
12*100=1,200/20=60 100-60=40%
Answer:
D. 40%
Step-by-step explanation:
ConceptsPercent ChangePercent change refers to how much, as a percentage, a quantity increases or decreases. The formula for percent change is [tex]\frac{FV-IV}{IV} * 100 = PC[/tex]. Keep in mind percent change is not negative, but can be written as 40% decrease or 40% increase.
FV = Final ValueIV = Initial ValuePC = Percent Change (%)ApplicationHow Does this Apply Here?We are being asked to find the percent change, or the change in the price of the sweater from $20 to $12. Thus, we will have to use the aforementioned formula. $20 is the initial value and $12 is the final value.
SolvingSolving for Percent Change
Step 1: Plug in values.
[tex]\frac{12-20}{20} * 100[/tex]Step 2: Simplify.
[tex]\frac{8}{20} * 100[/tex] [tex]800/20[/tex] [tex]40[/tex]Therefore, the answer is D. 40%.
Question 3
6 pts
A ball is thrown vertically upward with an initial velocity of 48 feet per
second and started from a height of 8 ft off the ground.
a. Write a vertical motion equation that models the situation.
b. How long will it take the ball to hit the ground? (round to the nearest
Hundredth)
c. How long will it take the ball to be 56 ft above the ground?
No answer text provided.
Answers
(a) The vertical motion equation for the ball is h = 8 + 48t - 16t².
(b) The time for the ball to hit the ground is 3.15 s.
(c) The time for the ball to travel 56 ft above the ground is 0.79 s.
Vertical motion equation for the ball
The vertical motion equation for the ball is calculated as follows;
h = h₀ + vt - ¹/₂gt²
h = 8 + 48t - ¹/₂(32)t²
h = 8 + 48t - 16t²
Time for the ball to hit the ground0 = 8 + 48t - 16t²
solve the above quadratic equation with formula method;
a = -16, b = 48, c = 8
t = 3.15 s
Time for the ball to be 56 ft above the groundlet upward motion be positiveh = 8 + 48t + 16t²
56 = 8 + 48t + 16t²
0 = -48 + 48t + 16t²
solve the above quadratic equation with formula method;
a = 16, b = 48, c = -48
t = 0.79 s
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HELP ME FOR A BRAINLIEST BA3
Answers
Answer:
it should be -65. because I did this already
Answer:
x=3, y=-3
Step-by-step explanation:
pluging in y we get -3x+15=6, or -3x=-9
this means x is 3
Find the measure of angle A.
Angle 1. x+59
Angle 2. 84
Angle 3. x+51
I already know x= -7 But the measure of angle A is on the outside of the triangle
Answers
Ans: The measure of exterior angle i.e angle A is -52⁰.
You meant to say that the measure of an angle A is on exterior angle so let me elaborate it you clearly,
[tex]x + 59 \\ = - 7 + 59 \\= - 52[/tex]
The town of La Belle wants to build a soccer
field. They want it to be 50 yards wide and 80
yards long. What is the total area of the soccer
field? Show your process
Answers
Answer:
4000 yd^2
Step-by-step explanation:
50 yd * 80 yd = (50*80) ( yd * yd) = 4000 yd^2
To use the tree house as the start of the zip line, the cable needs to be attached to
the starting tree at a height 18 feet above the ground.
To meet the slope constraint, Esteban wants to change the height 7 feet and end the
zip line at a height 11 feet above the ground. He claims this vertical change meets the
slope constraint.
Test Esteban's claim for Tree A and Tree B. Use specific numbers from the situation to
justify or refute whether having a vertical change of 7 feet will satisfy the slope
constraint for each tree.
Answers
For both tree A and tree B calculated slope is less than 0.06. Then it does not satisfy the slope constraint.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
To use the treehouse as the start of the zip line, the cable needs to be attached to the starting tree at a height of 18 feet above the ground.
To meet the slope constraint, Esteban wants to change the height to 7 feet and end the zip line at a height of 11 feet above the ground.
He claims this vertical change meets the slope constraint.
The slope for tree A will be
[tex]\rm Slope \ A = \dfrac{7}{120}\\\\Slope \ A = 0.0583[/tex]
The slope for tree B will be
[tex]\rm Slope \ B = \dfrac{7}{160}\\\\Slope \ B = 0.043[/tex]
For both tree A and tree B calculated slope is less than 0.06. Then it does not satisfy the slope constraint.
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Which statement is correct about the period of the function y = sin x?
A) There are 180° in a unit circle, so the period is 180°
B) There are 180° in a unit circle, so the period is 360°
C) There are 360° in a unit circle, so the period is 180°
D) There are 360° in a unit circle, so the period is 360°
Answers
Answer:
C
Step-by-step explanation:
The function sine of 'x' repeats its value after a full rotation of π radians. In degrees, that would be 180 degrees. On a unit circle, the sine is the y-component at any point along the circumference of the circle. In the first two quadrants, the y-component is the exact same until you exceed a rotation of 180 degrees. The degree of a circle is 360 degrees, therefore the answer would be C.
1.4.
Which scatter plot shows a negative linear association between x and y?
A.
B.
y
y
C.
D.
..
..
.
●
●
.
●
Answers
Answer:
need more details
Step-by-step explanation:
...
15 is 60% of what number?
Answers
25
hope it helps...!!!!
f(x) = x^2. What is g(x)?
A. g(x) = (4x)^2
B. g(x) = 2x^2
C. g(x) = (2x)^2
D. g(x) = (1/2x)^2
Answers
Answer:
C
Step-by-step explanation:
g(x) through the point (1,4) so its mean when x equal to 1, g(x) equal to 4 so you replace that point so you can choosse C
if 54735 = 53000+735+p what is the value of p
Answers
Answer:
1000 :)
Step-by-step explanation:
We need to subtract to solve!!
54735 - 53000 = 1735
1735 - 735 = 1000
Have an amazing day!!
Please rate and mark brainliest!!!
Dilation is enlarging or shrinking a figure by using a scale factor.
Using a scale factor bigger than one, creates a
figure.
Using a scale factor between 0 and
creates a
figure.
Create your own
dilation examples or find 2 images of dilation examples. Be
sure the two examples are different by showing one getting larger and one
getting smaller.
Answers
Answer:
Step-by-step explanation:
scale factor bigger than one, in math greater than, the figure is larger than the object being used a figure smaller than 1 creates a figure smaller than the original
Luckily you can just use your web browser to scale a screen up or down in it's scale. try it.. top right ellipse for go ogle chrome lets you scale over 100 per cent or 1 and also under 100 per cent or less than 1 remember 100 per cent = 1.00
Chloe gave out a survey to some students in her school about their favorite color. 219 of those surveyed said their favorite color was purple. If 73% of the students surveyed said their favorite color was purple, how many students were surveyed in total?
Answers
If 73% of the students surveyed said their favorite color was purple, 1,000 students were surveyed in total.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Let the total number of persons surveyed be x. However, the question tells us that 350 respondents, or 35% of this x, make up the total.
Hence, mathematically, we have;
73% of x = 219
(73/100) × x = 219
73x = 100×219
73x = 219,000
x = 219,000/219
x = 1,000 students
Thus, if 73% of the students surveyed said their favorite color was purple, 1,000 students were surveyed in total.
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What will the equation be if f(x)= x^2 is translated 6 units left and 3 units up?
Answers
Answer:
(x+6)^2+3
Step-by-step explanation:
translate 6 left
left is negative
so (x+6)^2. it is + because the x goes in the opposite direction causing (x-6)^2 to go right
and 3 units up so add x by 3 to get (x+6)^2+3
Answer:
g(x) = (x + 6)² + 3
Step-by-step explanation:
To move horizontally replace each x with (x ± c)
if you move it to the right, you need x - c
if you move it to the left , you need x + c
Since we are moving to the left 6, we will have: g(x) = x² + 6
To move up or down, add or subtract the constant equal to the units moved, so to move it up 3 would give us:
g(x) = (x + 6)² + 3
A graph is below for further conformation.
hope this helps!
Exponential growth/decay problem 2
Answers
Answer:
a) decay
b) 2,950,000
c) 0.025
d) [tex]f(x)=2950000(0.975)^x[/tex]
e) 2,409,123
Step-by-step explanation:
Part (a)
Exponential DECAY, since the population was decreasing annually.
Part (b)
Initial amount = 2,950,000 people (in the year 2000)
Part (c)
Decay factor = 2.5% = 0.025 (in decimal form)
Part (d)
General form of exponential decay function:
[tex]f(x)=a(1-r)^x[/tex]
where:
a = initial amountr = rate of decay (in decimal form)x = time (in years)Given:
a = 2950000r = 0.025[tex]\implies f(x)=2950000(1-0.025)^x[/tex]
[tex]\implies f(x)=2950000(0.975)^x[/tex]
Part (e)
To determine the city's population in 2008:
[tex]x = 2008 - 2000 = 8[/tex]
[tex]\begin{aligned}\implies f(8) & =2950000(0.975)^8\\ & = 2409123\: \sf(nearest\:whole\:number)\end{aligned}[/tex]
What is the factored form of this expression? x9-1000
A. (x3-10)(x3+10)(x2-10x+100)
B. (x3+10)(x6-10x3+100)
C. (x-10)(x+10)(x3-10x2+100)
D. (x3-10)(x6+10x3+100)
Answers
Answer:
D. (x^3 - 10)(x^2 + 10x^3 + 100).
Step-by-step explanation:
Using the identity a^3 - b^3 = (a - b)(a^2 + ab + b^2):
We have x^9-1000 :
- here a = x^3 and b = 10 so:
x^9-1000 = (x^3 - 10)(x^2 + 10x^3 + 100)
At a football stadium, 2% of the fans in attendance were teenagers. If there were 240 teenagers at the football stadium, what was the total number of people at the stadium?
Answers
Answer:
12000
Step-by-step explanation:
240÷2=120
120=1%
120×100=12000
12000=100%
Answer: 12,000
Step-by-step explanation:
2% is = 240
1% is 240/2
100% is 240/2 × 100/1
about 2/5 of Joys cottage property is covered with trees. About 21 km2 are open fields. In Km2, how much of her property is covered in trees
Answers
Fractions are written as the ratio of two integers. 8.4km^2 of her property are covered in trees
Ratios and proportionsFractions are written as the ratio of two integers
Given the following parameters
total area of open field = 21km^2
If 2/5 of Joys cottage property is covered with trees, the amount covered in trees is expressed as:
Amount covered in trees = 2/5 * 21
Amount covered in trees = 42/5
Amount covered in trees = 8.4km^2
Hence 8.4km^2 of her property are covered in trees
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what is 7h-5(3h-8) = -72
Answers
Answer:
14
Step-by-step explanation:
7h-5(3h-8)=-72
7h-15h+40=-72
-8h=-112
h=14
Answer:
Answer is 14
Step-by-step explanation:
7h-15h+40 = -72-8h = -72-40-8h = -112h = -112------
-8
h = 14Hope it helps!
BYE
the sum of six interior angles of a regular octagon is 800 the other two angles are equal find the size of each angle
Answers
An octagon is a polygon with 8 sides and angles. The two equal angles are 140 degrees each
How to calculate the sum of an interior angle of a polygon?An octagon is a polygon with 8 sides and angles
The formula for calculating the sum of interior angle of a regular polygon is expressed as:
S = (n-2) * 180
If the sum of six interior angles of a regular octagon is 800 the other two angles are equal, then;
800 + 2x = (8-2)*180
800 + 2x = 1080
2x = 1080 - 800
2x = 280
x = 140
The two equal angles are 140 degrees each
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How would you solve this?
Answers
Answer:
the answer of the perimeter is B
Find the equation of the line with slope = -6 and passing through (-2,10). Write your equation in the
form y = mx + b.
Submit Question
Answers
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{10})\qquad \qquad \stackrel{slope}{m}\implies -6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{-6}(x-\stackrel{x_1}{(-2)}) \\\\\\ y-10=-6(x+2)\implies y-10=-6x-12\implies y=-6x-2[/tex]
The ratio of the measures if the sides of a triangle is 4:6:8, and its perimeter is 126 feet. What are the measures of the sides of the triangles
Answers
Answer:
56 feet.
Step-by-step explanation:
4k+6k+8k=18k=126⟹k=7
Therefore, the lengths are 4⋅7=28, 6⋅7=42 and 8⋅7=56 feet.