Answer:
The reference angle is the acute angle formed by the terminal side of an angle in standard position and the x-axis
Step-by-step explanation:
-440° will be in the 1st quadrant
We solve by adding 360° to it till it becomes positive
-440°+360°= -80°
-80°+360°=280°
The equivalent value will become
360°-280°= 80°
Answer:
The reference angle for an angle whose measure is -440° is 80°.
Step-by-step explanation:
The cycles for angles range from the traditional 0° to 360° and subsequent 360° ranges befor and after this traditional intervals, also have the same properties.
So, the ranges that exist and correspond to the traditional 0° to 360° include
0° to 360°
360° to 720°
720° to 1080°
And in the negative direction, we have
-360° to 0°
-720° to -360°
We can see that -440 is in the range of
-720° to -360°
Using the traditional 0° to 360° to compare this range of -720° to -360°, let x represent the reference angle in the traditional range that we require.
-720° ------ 0°
-440° ------ x
-360° ------ 360°
Using interpolation,
[-440° - (-720°)]/[-360° - (-440°)] = (x - 0°)/(360° - x)
(280/80) = x/(360-x)
3.5 = x/(360-x)
3.5(360 - x) = x
1260° - 3.5x = x
4.5x = 1260°
x = (1260°/4.5) = 280°
But, the reference angle is the smallest angle that one can make from the terminal side of an angle (that is, where the angle ends) with the x-axis. It uses the x-axis as its frame of reference.
So, 280° is a fourth quadrant angle, whose equivalent in the first quadrant is 360° - 280° = 80°
Hope this Helps!!!
−7(5x−8)
Expand the following Expression
Start by changing the -8 to plus a negative 8.
Now, the -7 distributes through the parentheses.
This gives us -7(5x) + -7(-8) which simplifies to -35x + 56.
What is the equation of a line with a slope of -2 that passes through the point (6, 8)?
A. 2x + y = 20
B. y-2x = 4
C. y-2x = 20
D. 2x + y = 4
Answer:
2x+y = 20
Step-by-step explanation:
The equation for a line is y = mx+b where m is the lope and b is the y intercept
y = -2x+b
substitute the point into x and y
8 = -2(6) +b
8 = -12+b
Add 12 to each side
20 =b
y = -2x+20
Add 2x to each side
2x+y = 20
Answer: 2x+y = 20
Step-by-step explanation:
The equation for a line is y = mx+b where m is the lope and b is the y intercept
y = -2x+b
substitute the point into x and y
8 = -2(6) +b
8 = -12+b
Add 12 to each side
20 =b
y = -2x+20
Add 2x to each side
2x+y = 20
the environment club is electing a president, vice president, and treasurer. how many different ways can the officers be chosen from the 6 members?
Answer:
2 ways.
Step-by-step explanation:
6/3=2
On Friday, the temperature was 82°F. The temperature changed by –2°F on Saturday, and then it changed by 2°F on Sunday.
What was the temperature on Sunday? How did the temperature change?
86°F; The temperature increased 4 degrees.
82°F; The temperature did not change.
84°F; The temperature increased 2 degrees.
78°F; The temperature decreased 4 degrees.
Answer:
84 F
Step-by-step explanation:
82 - -2
82 + -2 = 80
80 + 2 = 82
Answer:Answer is 82 I know because this was on my math quiz and I put 82
Step-by-step explanation:
One endpoint of a line segment is (–6, 4), and the midpoint of the segment is (–2, 7). What are the coordinates of the other endpoint?
A. (2, 10)
B. (−10, 1)
C. (3, 11)
D. (−10, 18)
Answer:
A. (2, 10)
Step-by-step explanation:
If there are two points (x1,y1) and (x2,y2) on a coordinates plane then
coordinates of the midpoint is given by (x1+x2)/2, (y1+y2)/2
__________________________________________________
Given
one endpoint is (–6, 4) and midpoint is (–2, 7)
let coordinates of other endpoint be (x,y)
now if one endpoint is (–6, 4) and other endpoint is (x,y)
then coordinates of midpoint is ((-6+x)/2 , (4+y)/2)
while the coordinates of midpoint given is (–2, 7)
thus (–2, 7) should be equal to ((-6+x)/2 , (4+y)/2)
-2 = (-6+x)/2 and 7 = (4+y)/2
=> -2*2 = -6+x => 7*2 = 4+y
=> -4 = -6+x => 14 = 4+y
=> -4+6 = x => 14-4 = y
=> x = 2 => 10 = y
Thus, coordinates of the other endpoint is(2,10)
Find the missing probability. P(A and B) = ______, P(B|A) = 1/5, P(A) = 3/4
3/20
3/4
4/3
4/15
Answer:
4/45
Step-by-step explanation:
the answe ris 45
In Circle C, EA and FB are diameters. Identify the following Two major arcs.
Answer:
See explanation
Step-by-step explanation:
Two major arcs:
[tex] \widehat {EAB}, \:\:\widehat {FAD}[/tex]
Two minor arcs:
[tex] \widehat {EF}, \:\:\widehat {AB}[/tex]
a baseball game has a total of 9 inning. in each inning there are 2 teams that each have to make 3 outs in order for the inning to be complete
Can anyone please make up some easy questions for me to do? I need at least five
Answer:
well ig thats good
Step-by-step explanation:
thanks
Answer:16/4
10^2
10Y-10=110
20/5
100/20
Step-by-step explanation:
PLEASE HELP I DON'T HAVE ANYTIME LEFT!!!!
Which inequality is true? Use the number line to help.
A number line going from negative 2.5 to positive 2.5 in increments of 0.5.
Negative 1.5 greater-than 0.5
Negative 0.5 greater-than 0
Negative 1.5 less-than negative 0.5
One-half greater-than 0.5
Answer:
Negative 1.5 less than negative 0.5
Step-by-step explanation:
False, negative 1.5 would not be greater than 0.5 since negative 1.5 is a negative meaning it goes to the left of the zero, so it is less than 0.
False, negative 0.5 is again less than 0 so therefore it would not be greater.
False, one half is the same as 0.5 just in word form.
That means, negative 1.5 is less than negative 0.5 since it is further away from the 0.5 going to the left.
Answer:
C. –2.5 < –2
Step-by-step explanation:
Please help! Its one of my last! Will give brainliest.
A polygon plotted on the coordinate plane has 6 vertices. What is the shape of the polygon? *
Answer:
hexagon
Step-by-step explanation:
A hexagon has six vertices. Hope that this helps you and have a great day
Answer:
Hexagon
An object that has six vertices will form a Hexagon on a coordinate plane
A charity is holding a raffle and sells 2000 tickets for $2 each. One ticket will win a grand
prize of $500. Two other tickets will be selected to win consolation prizes of $50 each.
Find the expected value if you buy one raffle ticket.
You would expect to lose $1.80 for each ticket purchased
You would expect to lose $ 1.55 for each ticket purchased
You would expect to lose $1.70 for each ticket purchased
You would expect to lose $1.60 for each ticket purchased
Answer:
Lose $1.70 for each ticket you purchase
Step-by-step explanation:
($500 x 1/2000) + ($50 x 2/2000) - $2
$0.25 + $0.05 - $2
-$1.70
Translate “4 less than five times a number is –11” into a mathematical equation.
Answer:
5x-4= -11
Step-by-step explanation:
Hope this helps.
Identify a central angle in the figure.
A)
ZBCD
ZBFC
ZFAE
ZFCO
Answer:
a is your answer is am correct
Find the unknown side length, x.
Answer:
b=24
Step-by-step explanation:
10^2+b2=24^2
100+b2=576
b2=476
then square root it
b=24
What is the volume of a cylinder, in cubic inches, with a height of 2 inches and a base diameter of 4 inches? Round to the nearest tenths place
Answer:
the answer for the volume of the cylinder is V≈25.13in³
Answer:
h=2 d=4
r=4/2 , radius is half of the diameter
r=2
V=π r^2h
V= π x (2)²×2
substitute variables into formula V=25.132741228718
the nearest tenths place V=25.1 inches
24% of what number 30
Answer:
125
Step-by-step explanation:
30*.24=125
Hey, I need some help with this:
Give an example of what an inverse operation is and how they are used in solving equations
Inverse operations are an operation that undoes each other. For example, addition and subtraction, multiplication and division, squares and square roots.
For example, we have the equation:
2 + 2 = 4
The inverse of this equation is:
4 - 2 = 2
Best of Luck!
Rosalia went on a long bike ride. The table shows how long she biked and the distance she traveled. Determine whether the relationship between hours biked and miles traveled is proportional.
Answer:
There needs to be a graph.
Step-by-step explanation:
The rate of change is not the same for all the cases so, the relationship between hours biked, and the miles traveled is not proportional.
What is proportionality?We use constant of proportionality in mathematics to calculate the rate of change and at the same time determine if it is direct variation or inverse variation that we are dealing with.
From the table, we need to find the rate of change between two given hours and the miles traveled at that time.
Now,
Between 1 hour and 2 hours.
The rate of change.
= (26 - 12) / (2 -1)
= 14 / 1
= 14
Between 2 hours and 3 hours.
The rate of change.
= (30 - 26) / (3 - 2)
= 4 / 1
= 4
Between 3 hours and 4 hours.
The rate of change.
= (48 - 30) / (4 - 3)
= 18 / 1
= 18
Since,
The rate of change is not the same for all the cases so,
Hence, the relationship between hours biked, and the miles traveled is not proportional.
Learn more about proportionality here:
https://brainly.com/question/29126727
#SPJ3
Which function has the same y-intercept as the function
Answer:
221
Step-by-step explanation:
Write the following number in scientific notation:
0.0000487
Answer:
4.87 × 10-5
Step-by-step explanation:
Hopes this helps.
The answer is 4.87 x 10^-5
whats the constant of the function?
Answer:
-4
Step-by-step explanation:
Please help me. Give me the Answers to question 18. and show your work.
Answer:
mark brainlyest and I will answer
There are 64 teams at the basketball tournament. Each team has 12 players. How many players are at the basketball tournament?
Answer:
64 x 12 = 768
Step-by-step explanation:
ok so we have 64 teams in all at the tournament & each team has 12 players. To find how many are at the basketball tournament we can multiply 12 by 64.
Answer:768 basketball players
Find the volume of the composite space figure to the nearest whole number.
Answer:
180cm^3
Step-by-step explanation:
What’s is the missing leg length
Answer: a= 96
Step-by-step explanation:
28^2 + a^2 = 100^2
784 + a^2 = 10000
-784 -784
a^2 = 9216
a= 96
If all the dates in June were used to form a sequence, would the sequence be finite or infinite?
Finite
Infinite
What the product of (-4)(-9)(-2)
Answer:
-72
Step-by-step explanation:
Answer:
-72
Step-by-step explanation:
36(-2)
-72
Algebra 2 hurry please
Answer:
The second answer 0.0380
Substitute x and y in the equation
