21
Find an equation of the line containing the given pair of points.
(4,5) and (12,8)
Find the terminal point on the unit circle determined by pi radians.
Use exact values, not decimal approximations.
The terminal point on the unit circle determined by π radians is (-1, 0).
To find the terminal point on the unit circle determined by π radians, we can use the properties of the unit circle.
The unit circle is a circle with a radius of 1 unit centered at the origin (0, 0) in a coordinate plane. The point on the unit circle determined by an angle θ is given by (cosθ, sinθ).
Since we want to find the terminal point determined by π radians, we can substitute π into the formulas for cosine and sine:
x = cos(π) = -1
y = sin(π) = 0
The terminal point on the unit circle determined by π radians is (-1, 0).
It's important to note that on the unit circle, π radians corresponds to half of the circumference of the circle. In other words, it represents a point on the circle that is diametrically opposite to the point (1, 0) which corresponds to 0 radians.
By understanding the relationship between angles and their corresponding points on the unit circle, we can easily determine the coordinates of terminal points for various angles.
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What is the domain and range of the coordinates
shown below?
{(11, -3), (2,-2), (2.0), (6,2), (18,4)}
The table shown below displays the distance that students on a track team walked during after-school practice.
Student
Distance (Miles)
John
2.75
Paul
2
Sierra
1.4
Anastasia
31
What was the total distance, in miles, that the students walked during after-school practice?
A rectangular rug measures 8 feet long and 12 feet wide
For each of the hypothetical data sets, determine whether a bar graph or a pie chart would be an appropriate way to display the
data. In some cases, both types of graphs may be appropriate.
pie chart
the percent of individuals with each of the following natural hair colors:
black, brown, blond, red, and other
bar graph
the land area of each of the approximately 50 countries in Europe
bar graph
the number of college students who play basketball, baseball, or soccer
pie chart
the number of K-12 schools that are public compared to the number of private and
charter schools
Answer:
See belowStep-by-step explanation:
Pie charts are best to display parts of a whole.Bar graphs are best to compare data.A. The percent of individuals with each of the following natural hair colors: black, brown, blond, red, and other
Pie chartB. The land area of each of the approximately 50 countries in Europe
Pie chart or Bar graphC. The number of college students who play basketball, baseball, or soccer
Bar graphD. The number of K-12 schools that are public compared to the number of private and charter schools
Bar graphCan someone give me the answer
Answer:
You earned 260$ before they taxed
S=c+g for g (help)!!!!!
Answer:
g = S - c
Step-by-step explanation:
Isolate the variable, g. Note the equal sign, what you do to one side, you do to the other. Simply subtract c from both sides:
S = g + c
S (-c) = g + c (-c)
S - c = g
g = S - c is your answer.
~
Aubrey's car used 4 gallons to travel 100 miles. How many miles can the car go on one gallon of gas?
Answer: 25 miles
Step-by-step explanation:
Divide total miles by total gallons.
100 / 4= 25 miles per gallon
7+3*5-4*2 what is the answer
Answer:
[tex]\boxed{14}[/tex]
Step-by-step explanation:
→ Remember multiplication occurs first
[tex]7+3*5-4*2=7+15-8[/tex]
→ Simplify the remaining expression
[tex]7+15-8=22-8=14[/tex]
Simplify
a(2a - 3) + 6(a - 0.5) - (2a^2 - 5)
Answer:
The answer to your question is 3a+2
Answer:
3a +2
Step-by-step explanation:
a(2a -3) +6(a -0.5) -(2a^2 -5)
rewrite to all show terms and operations:
a * (2a -3) + 6 * (a - 0.5) -1 * (2a^2 -5)
distribute:
2a^2 -3a +6a -3 -2a^2 +5
combine like terms:
-3a +6a -3 +5
3a+2
3. Jackie played the drums in the band. If he beat the drum at a rate of
110 beats per minute, how many beats would he play in 4 minutes
Answer:440 beats
Step-by-step explanation:
The minutes cancel when you multiply.
What is the simplified value of the expression below rounded to the nearest hundredth? StartFraction 3.5 times 2 + 9 over 10.4 minus 1.4 times 2 EndFraction 0.28 0.89 1.91 2.11
Answer:
The answer is 2.11~! I hope I helped <3
Step-by-step explanation:
3.5x2=7 7+9=16 1.4x2=2.8 10.4-2.8=7.6 16/7.6=2.10526315789
but we simplify so, 2.10526315789 rounded to the nearest hundredth is 2.11~!
Answer:
2.11
Step-by-step explanation:
I got it correct on the test
A school installs a ramp that will rest on a landing 2 feet high. The ramp is 24 feet long. According to building code, the ramp must not be greater than a 5° angle with the ground. What is the angle formed from the ground? Is the school in compliance with the building code? Group of answer choices
85degree; no
3degree; yes
5degree; yes
8degree; no
Hey there! I'm happy to help!
Our angle is facing the 2 foot high landing. This is the opposite side of the angle. We also have the ramp, which is the hypotenuse. The sine is the opposite over the hypotenuse. Since we have these two, we find the [tex]sin^-^1[/tex] to give the the angle.
[tex]sin^-^1(2/24)=4.780191847....[/tex]
This angle is about 5 degrees and it is in compliance with the building code because it is not greater than 5 degrees.
Have a wonderful day! :D
Find the volume of a cylinder with the height 25cm and radius 5cm
Answer:
= 1963.5cm³
Step-by-step explanation:
radius=5
height=25
V=πr2h=π·52·25≈ 1963.49541cm³
answer please thank you . Make her you like !
Answer34.4
Step-by-step explanation:
Please I really need help
Answer:
Answer 1: 1
Answer 2: 11
Answer 3: 5
by adding answers from 1 ,2 and 3
we get,
Answer 4: 17
7. Find all values of x, where
IxI=1/3
Answer:
[tex]x=-\frac{1}{3}\quad \mathrm{or}\quad \:x=\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\left|x\right|=\frac{1}{3}\\\\\mathrm{Apply\:absolute\:rule}:\\\quad \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\x=-\frac{1}{3}\quad \mathrm{or}\quad \:x=\frac{1}{3}[/tex]
Please help!!! I would like an explanation along with your answer. Thanks
Answer:
11.2 feet
Step-by-step explanation:
The two furthest corners of the bed are at (8, 6) and (5, 10). To determine which is the furthest from the origin, use the distance formula.
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((8 − 0)² + (6 − 0)²)
d = 10
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((5 − 0)² + (10 − 0)²)
d = 5√5
d ≈ 11.2
Therefore, the corner at (5, 10) is the furthest from the origin, about 11.2 feet away.
Help me please thanks
Answer: B. M= 6
Step-by-step explanation:
4(6-1)-5=2(6)+3
The first part of the equation, 4(6-1)-5, 6-1 is 5 and then you multiply that 5 by 4 and get 20, and subtract 5 from 20 and get 15. The second part, 2(6)+3, 6 x 2 is 12 and then you add 3 which equals 15. 15=15 so the answer is correct
what is 293+678 bc I need help
Answer:
971
Step-by-step explanation:
All we need to do is add.
293 + 678
971
Best of Luck!
Answer:
68+1
Step-by-step explanation:
Find two consecutive integers whose product is 12.
Answer:
3 and 4
Step-by-step explanation:
The answer is 3 and 4 because consecutive means one more than the previous number. Therefore, 3 + 1 = 4
Also, 3*4 = 12
Hope this helps!
You're making dessert, but your recipe needs adjustment. Your peanut butter cookie recipe makes 2 dozen cookies, but you need 3 dozen cookies. If the recipe requires 134 cups of sugar, 14 teaspoon of salt, and 113 cups of peanuts, how much of each of these ingredients are necessary for 3 dozen cookies? Simplify your answer.
3 dozen cookies require 201 cups of sugar, 21 teaspoon of salt, and 169.5 cups of peanuts.
EquationAn equation is an expression that is used to show the relationship between two or more variables and numbers.
2 dozen cookies require 134 cups of sugar, 14 teaspoon of salt, and 113 cups of peanuts.
Hence for 3 dozen cookies:
Amount of sugar = (134)/2 * 3 = 201
Amount of salt = (14)/2 * 3 = 21
Amount of peanuts = (113)/2 * 3 = 169.5
3 dozen cookies require 201 cups of sugar, 21 teaspoon of salt, and 169.5 cups of peanuts.
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1. What percent of 29 is 3?
Answer:
0.34%
Step-by-step explanation:
1. Start by representing the percentage with the variable, x %. Using x%, create an algebraic expression.
29% X x = 3
2. Solve for x by dividing both sides by 29.
29x divided by 29 =3 divided by 29.
x=0.1034
3.Convert 0.1034 into a percentage by multiplying the decimal by 100%
X =0.1034 x 100%
x=10.34%
Find the coordinates of Rif Q(-1, 3) is the midpoint of PR and P has
coordinates of (5, 6)
Answer:
R(-7,0)Step-by-step explanation:
Let the midpoint of PR be Q(-1,3) where P is (5,6). To get the other coordinate R, we will use the midpoint formula as shown;
Q(X,Y) = {(x₁+x₂)/2, (y₁+y₂)/2}
From the formula;
X = (x₁+x₂)/2 and Y = (y₁+y₂)/2
From the coordinates given, X = -1, Y = 3, x₁ = 5 and y₁ = 6. To get x₂ and y₂, we will substitute the given points into the expressions above;
To get x₂;
X = (x₁+x₂)/2
-1 = (5+x₂)/2
cross multiply
-1*2 = 5+x₂
-2 = 5+x₂
subtract 5 from both sides
-2-5 = 5+x₂-5
x₂ = -7
Similarly to get y₂
Y = (y₁+y₂)/2
3 = (6+y₂)/2
cross multiply
3*2 = 6+y₂
6 = 6+y₂
subtract 6 from both sides
6-6 = 6+y₂-6
y₂ = 0
Hence the coordinate of R(x₂, y₂) is (-7,0)
Melissa used her credit card to buy a $745 refrigerator. She kept the refrigerator for exactly nine years, during which time it consumed an average of $0.19 of electricity every day. Melissa’s credit card has an APR of 16.84%, compounded monthly. Melissa paid off her refrigerator by making identical monthly payments for four years. If she made no other purchases with her card, what percentage of the lifetime cost of the refrigerator did the electricity make up? (Assume that two of the years were leap years, and round all dollar values to the nearest cent.) a. 59.17% b. 18.48% c. 66.99% d. 37.77%
Answer:
37.77
Step-by-step explanation:
P= PV x i / 1- (1+i)^-n
PV = 745
I = .1684 / 12 = .01403
N = 4 x 12 = 48
.19 x (365 x 9) = 624.53
21.4338469 x 48= 1028.12
624.53 / (624.53+1028.12) = 37.77
The percentage of the lifetime cost of the refrigerator did the electricity make up is : d. 37.77%.
Percentage of the lifetime costUsing this formula
P= Pv x i / 1- (1+i)^-n
Where:
Present value = 745
Interest= .1684 / 12 = .01403
Number of months = 4 x 12 = 48
Hence:
Percentage=.19 x (365 x 9)/(.19 x (365 x 9)+(21.4338469 x 48)
Percentage=624.53 / (624.53+1028.12)
Percentage= 37.77%
Inconclusion the percentage of the lifetime cost of the refrigerator did the electricity make up is : d. 37.77%.
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Answer the questions below.
2.
(a) The area of a rectangular parking lot is 6370 m
If the width of the parking lot is 65 m, what is its length?
The ordered pairs in the table below represent a linear function. What’s the slope of the function?
Answer:
The slope is 2
Step-by-step explanation:
Using slope formula (y2-y1)/(x2-x1):
(8-2)/(9-6)
(6)/3
2
Answer:
3
Step-by-step explanation: took test edge
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Area of triangle = 1/2 × b × h
b = base and h = height
Area = 1/2 × (x+4) × (2)
Area = x + 4Area of rectangle = lb
l = Length and b = Breadth
Area = 10 (x + 2)
Area = 10x + 20
Given:The area of rectangle is 8 times greater than the area of the triangle.
Solution:According to the question,
10x + 20 = 8(x+4)
or, 10x + 20 = 8x + 32
or, 10x - 8x = 32 - 20
or, 2x = 12
or, x = 12/2 = 6
Answer:The value of x is 6.
Hence, Option D. 6 is correct.
Answer:
x = 6
Step-by-step explanation:
Area of rectangle = length * width
= 10 *(x +2)
= 10*x + 10*2
= 10x + 20 unit²
Area of triangle = [tex]\frac{1}{2}bh[/tex]
[tex]=\frac{1}{2}*2*(x +4)\\\\=1*(x+4)\\\\= x +4[/tex]
Area of rectangle = 8*area of triangle
10x + 20 = 8* (x+ 4)
10x + 20 = 8x + 32 {Subrtact 20 from both sides}
10x = 8x + 32 - 20
10x = 8x + 12 {subtract 8x form both sides}
10x - 8x = 12
2x = 12 {divide both sides by 2}
2x/2 = 12/2
x = 6
Which interval for the graphed function has a local
minimum of 0?
[-3, -2]
[-2, 0]
[1, 2]
[2, 4]
Answer:
the answer is D i hope this help
Step-by-step explanation:
Answer:
D
Step-by-step explanation: