Find an angle in each quadrant with a common reference angle with 319°, from 0°≤θ<360°
Answers
The angles with a common reference angle of 319° in each quadrant are:
First quadrant: 319°, Second quadrant: -139°, Third quadrant: 139°, Fourth quadrant: 41°.
To find an angle in each quadrant with a common reference angle of 319°, we can start by subtracting 360° from 319° repeatedly until we get a result between 0° and 360°. This is because angles that differ by a multiple of 360° are coterminal, which means they have the same reference angle.
319° - 360° = -41° (not in the range 0° to 360°)
319° - 2(360°) = -401° (not in the range 0° to 360°)
319° - 3(360°) = -721° (not in the range 0° to 360°)
319° - 4(360°) = -1041° (not in the range 0° to 360°)
319° - 5(360°) = -1361° (not in the range 0° to 360°)
319° - 6(360°) = -1681° (not in the range 0° to 360°)
319° - 7(360°) = -2001° (not in the range 0° to 360°)
Since none of these results are in the range of 0° to 360°, we need to add multiples of 360° instead.
319° - 1(360°) = -41° (not in the range 0° to 360°)
319° - 0(360°) = 319°
319° + 1(360°) = 679° (not in the range 0° to 360°)
319° + 2(360°) = 1039° (not in the range 0° to 360°)
319° + 3(360°) = 1399° (not in the range 0° to 360°)
So, the angle with a common reference angle of 319° in the first quadrant (0° to 90°) is:
θ = 319° - 1(360°) = -41° + 360° = 319°
The angle with a common reference angle of 319° in the second quadrant (90° to 180°) is:
θ = 180° - 319° = -139°
The angle with a common reference angle of 319° in the third quadrant (180° to 270°) is:
θ = 319° - 180° = 139°
The angle with a common reference angle of 319° in the fourth quadrant (270° to 360°) is:
θ = 360° - 319° = 41°
Therefore, the angles with a common reference angle of 319° in each quadrant are:
First quadrant: 319°
Second quadrant: -139°
Third quadrant: 139°
Fourth quadrant: 41°
To know more about angles visit:
https://brainly.com/question/28451077?
#SPJ1
Related Questions
Vanessa runs 4 miles each week. Use the number line below to solve and represent the number of weeks it will take her to run 96 miles.
Answers
The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks
How to calculate the number of weeks used by Vanessa for race?The amount of distance that Vanessa covers for a week = 4 miles
The amount of weeks it will take for her to cover 96 moles would be = ?
That is;
1 week = 4 miles
X weeks = 96 miles
Make X the subject of formula;
X = 96× 1/4
= 24 weeks
Therefore Vanessa will be able to cover 96 miles in only 24 weeks.
Learn more about distance here:
https://brainly.com/question/26046491
#SPJ1
What are three ratios that are equivalent of the given ratio of 9/7
Answers
Answer: 18/14, 27/21, 36/28
Step-by-step explanation:
What is the length of EF in the right triangle below?
D
26
10
E
F
Answers
The measure of side length EF in the right triangle is 24.
What is the measure of side length EF?The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
c² = a² + b²
From the diagram:
Hypotenuse DE = c = 26
Leg DF = a = 10
Leg EF = b = ?
Plug in the values and solve for b:
c² = a² + b²
26² = 10² + b²
676 = 100 + b²
b² = 676 - 100
b² = 576
b = +√576 ( we take the positive value since we are dealing with dimensions)
b = 24
Therefore, the length EF is 24.
Option C)24 is the correct answer.
Learn more about Pythagorean theorem here: brainly.com/question/343682
#SPJ1
Which expression is equivalent to 4x4x4x4x4
Answers
Answer:
Step-by-step explanation:
4x4x4x4x4=4^5=1024
Which equation is equivalent to 3[x + 3(4x – 5)] = 15x – 24?15x – 15 = 15x – 2415x – 5 = 15x – 2439x – 45 = 15x – 2439x – 15 = 15x – 24?
Answers
Answer:
3[x + 3(4x – 5)] = (39x-15)
Step-by-step explanation:
The given expression is : 3[x + 3(4x – 5)]
We need to find the equivalent expression for this given expression. We need to simplify it. Firstly, open the brackets. So,
\(3[x + 3(4x -5)]=3[x+12x-15]\)
Again open the brackets,
\(3[x+12x-15]=3x+36x-45\)
Now adding numbers having variables together. So,
\(3[x + 3(4x - 5)]=39x-15\)
So, the equivalent expression of 3[x + 3(4x – 5)] is (39x-15).
help
A pizza is cut into ten slices. How many slices are there in six pizzas?
On the double number line below, fill in the given values, then use multiplication o
division to find the missing value:
slices
pizzas
There are 60 slices in 6 pizzas. Submit Answer
attempt 1 out
Answers
Answer:
60 slices
Step-by-step explanation:
1 pizza = 10 slices
6 pizzas = 10 slices * 6 = 60 slices
A projectile is launched from the ground with an initial speed of 220 ft/sec at an angle of 60° with the horizontal.
What is the height of the projectile after 4 seconds?
How long is the projectile in the air?
What is the horizontal distance traveled by the projectile?
What is the maximum height of the projectile?
Answers
The height of the projectile after 4 seconds is 421.28 ft.
The projectile is in the air for 8.015 seconds.
The horizontal distance traveled by the projectile is 881.77 ft.
The maximum height of the projectile is 464.1 ft.
To solve this problem, we can use the kinematic equations of motion for a projectile.
Let's assume that the initial height of the projectile is zero.
What is the height of the projectile after 4 seconds:
We can use the equation:
\(y = yo + vot + 1/2at^2\)
where
y = height of the projectile
yo = initial height (zero in this case)
vo = initial vertical velocity = 220 sin(60°) = 190.53 ft/sec
a = acceleration due to gravity \(= -32.2 ft/sec^2\) ( negative since it acts downwards)
t = time = 4 sec
Plugging in the values, we get:
\(y = 0 + (190.53)(4) + 1/2(-32.2)(4)^2 = 421.28 ft\)
Therefore, the height of the projectile after 4 seconds is 421.28 ft.
Long is the projectile in the air:
The time of flight of a projectile can be calculated using the equation:
t = 2vo sinθ / g
where θ is the launch angle and g is the acceleration due to gravity.
Plugging in the values, we get:
t = 2(220 sin(60°)) / 32.2 = 8.015 sec
Therefore, the projectile is in the air for 8.015 seconds.
Horizontal distance traveled by the projectile:
The horizontal distance traveled by the projectile can be calculated using the equation:
\(x = xo + vot + 1/2at^2\)
where
x = horizontal distance traveled
xo = initial horizontal position (zero in this case)
vo = initial horizontal velocity = 220 cos(60°) = 110 ft/sec
a = acceleration due to gravity (zero in the horizontal direction)
t = time = 8.015 sec
Plugging in the values, we get:
\(x = 0 + (110)(8.015) + 1/2(0)(8.015)^2 = 881.77 ft\)
Therefore, the horizontal distance traveled by the projectile is 881.77 ft.
Maximum height of the projectile:
The maximum height of a projectile can be calculated using the equation:
\(ymax = yo + (vo^2 sin^2 \theta ) / 2g\)
Plugging in the values, we get:\(ymax = 0 + (190.53^2 sin^2(60\degree )) / (2)(32.2) = 464.1 ft\)
Therefore, the maximum height of the projectile is 464.1 ft.
For similar question on projectile.
https://brainly.com/question/30695754
#SPJ11
There are 5,000 books in the town's library. Of these, 4,700 are fiction. To find the percent of the books that are fiction, first set up the percent equation. Then find the percent.
Answers
Answer:
94%
Step-by-step explanation:
4,700/5,000 x 100%
0.94 x 100% = 94%
Answer:
94%
Step-by-step explanation:
in a single power what is the answer to the following:
5 to the power of 3 divided by 5 ?
3 to the power of 6 divided by 3 ?
Answers
Answer:
a-25
b-243
5^3 = 125/3 = 25
3^6 = 729/3 = 243
125/5=25
3x3x3x3x3x3=729
729/3=243
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form. (-1,8) and (-8,6)
Answers
Answer:
\(\sqrt{53}\)
Step-by-step explanation:
distance = \(\sqrt{((-1)-(-8))^2+(8-6)^2}=\sqrt{49+4}=\sqrt{53}\)
Given sets A, B, C, and U, find the set B - A using the listing method.
A = {2, 3, 6}
B = {1, 2, 3, 7}
C = {5, 7}
U = {0, 1, 2, 3, 4, 5, 6, 7}
B - A = { }
Answers
Answer:
= {1,7}
Step-by-step explanation:
1 is in B
2 is in B but is also in A so we take that away
3 is in B but is also in A so we take that away
7 is in B
how to delete this account and add a new one. i will mark u the brailiest pls...
Answers
Answer:
Go to Profile settings < Privacy< Click on the box were it says "I want to delete my account"< the request is going to be sent to email were you made your account at.
Step-by-step explanation:
I hope this helps!!
What do I write ? I need help
Answers
Answer:
3w+4=__x 11
Step-by-step explanation:
a box contains ten sealed envelopes numbered 1, . . . , 10. the first six contain no money, the next two each contains $5, and there is a $10 bill in each of the last two. a sample of size 3 is selected with replacement (so we have a random sample), and you get the largest amount in any of the envelopes selected. if x1, x2, and x3 denote the amounts in the selected envelopes, the statistic of interest is m
Answers
The probability distribution for the statistic is ; for m = 0 , P(0) = 0.216 , for m = 5 ,P(5) = 0.296 and for m = 10 , P(10) = 0.488 .
In the question ,
it is given that ,
the box has 10 sealed envelopes , that contains number from 1,2,...,10 .
the first six envelopes has no money .
next two envelopes has $5
and the last two contains $10 bill .
if x₁, x₂, and x₃ denote the amounts in the selected envelopes,
the statistic of interest is m = maximum of X₁ , X₂ and X₃ .
we need to find probability distribution for the statistic m,
So , P(m = 0) = P( all three envelope contains no money) = (6/10)³ = 0.216
and P(m = 5) = P( all from 8 envelope which contains at most $5) - P(all three envelope with 0 money)
= (8/10)³ - 0.216
= 0.296
and P(m = 10) = 1 - (8/10)³ = 0.488
Therefore , the required probability is P(0) = 0.216 , P(5) = 0.296 and P(10) = 0.488 .
The given question is incomplete , the complete question is
A box contains ten sealed envelopes numbered 1, . . . , 10. the first six contain no money, the next two each contains $5, and there is a $10 bill in each of the last two. a sample of size 3 is selected with replacement (so we have a random sample), and you get the largest amount in any of the envelopes selected. if x₁, x₂, and x₃ denote the amounts in the selected envelopes, the statistic of interest is M = the maximum of X₁ ; X₂ , and X₃ . Obtain the probability distribution of this statistic ?
Learn more about Probability here
https://brainly.com/question/11938528
#SPJ4
please help me i will give brainliest to the right answer
Answers
I could be wrong here, but this is what I got
Answer:
12 (for the first blank)
True (in the second one)
Step-by-step explanation:
The -9 strikes out and leaves the 12s.
What is the midpoint of WY?
Answers
Answer:
The mid point of XY should be -0.5
Step-by-step explanation:
I don't know if that's what you want
I hope I helped ¯\_(ツ)_/¯
3.
The Moy family budgeted $32,650 to remodel their kitchen. They spent
$43,987. How much more or less is the amount spent than the amount
budgeted?
A $11,337 more
B $11,337 less
C $17,887 more
D $17,887 less
Answers
Answer:
A
Step-by-step explanation:
43987-32650= 11337
And it’s more
The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B
Answers
Answer:
B (1, -3)
Step-by-step explanation:
Step 1: Use the midpoint formula to find the coordinates of the endpoint:
Normally, we find the midpoint of a segment using the midpoint formula, which is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:
x-coordinate of B:
x-coordinate of midpoint = (x1 + x2) / 2
(-2 = (-5 + x2) / 2) * 2
(-4 = -5 + x2) + 5
1 = x2
Thus, the x-coordinate of the endpoint B is 1.
y-coordinate of B:
y-coordinate of midpoint = (y1 + y2) / 2
(2 = (7 + x2) / 2) * 2
(4 = 7 + x2) -7
-3 = y2
Thus, the y-coordinate of the endpoint B is -3.
Thus, the coordinates of the endpoint B are (1, -3).
Add the following: 2.35 times 10 to the power of 4 plus 1.7 times 10 to
the power 6
2.6 times 10 to the power of 11
O 7.3 times 10 to the power 15
6 times 10 to the power of 5
172 times 10 to the power of 6
Answers
Answer:1.2
Step-by-step explanation:Subtract all the numbers that will give you your answer.
Your answer is: 1.2
If x = 2, y = 3 and z = -5, find the value of square root of x + y squared + z squared
Answers
The value of square root of x + y squared + z squared is 30
How to solve algebra?x = 2, y = 3 and z = -5
\(( \sqrt{x + y} )^{2} + z ^{2} \)
substitute the value of x, y and z
\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)
simplify the square root and square
\( = (2 + 3) + 25\)
\( = 5 + 25\)
\( = 30\)
Ultimately, x + y squared + z squared is 30
Read more on algebra:
https://brainly.com/question/4344214
#SPJ1
(a) The length of a rectangle is 6 cm more than its width, w cm. The perimeter of the rectangle is 37 cm. Form an equation in w and solve it to find the width of the rectangle.
Answers
The width of the rectangle whose perimeter is 37 cm is 6.25 cm.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The length of a rectangle is 6 cm more than its width, w cm.
So, the length = w + 6
The perimeter of the rectangle is 37 cm.
Then, Perimeter of the rectangle = 37
2(l+ w) = 37
2( w+ 6 +w )= 37
2(2w + 6)= 37
4w + 12 = 37
4w = 25
w = 6.25 cm
and, length = w+ 6 = 6 + 6.25 = 12.25 cm
Learn more about Algebra here:
https://brainly.com/question/13129748
#SPJ9
Please help!! Determine the measure of the exterior angle.
Answers
Answer:
\(92.05^{\circ}\)
Step-by-step explanation:
By the exterior angle theorem, the answer is \(m\angle Y+m\angle Z=92.05^{\circ}\).
Answer:
A
Step-by-step explanation:
exterior angle = sum of the other two angles
63.25 + 28.8
92.05°
Question
Marc is building a gazebo and wants to brace each
corner by placing a 8-inch wooden bracket
diagonally as shown. How far below the corner
should he fasten the bracket if he wants the
distances from the corner to each end of the
bracket to be equal?
(Round to the nearest tenth of an inch.)
Answers
The required distance from the corner to each end of the bracket is 5.7 inches.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Since the distance from the corner to each end is equal.
So ABC make an isosceles right triangle, where
AB = x inches
AC = x inches
BC = 8 inches
According to the Pythagoras theorem, we have
AB² + AC² = BC²
x² + x² = 8²
2x² = 64
x² = 64/2
x² = 32
x = √32
x = 5.668
Round to the nearest tenth, and we get
x = 5.7
Thus, the distance from the corner to each end is 5.7 inches.
Learn more about Pythagoras's theorem here:
https://brainly.com/question/29061674
#SPJ9
What do you already know about stem-and-leaf plot?
Answers
Answer:
A stem and leaf plot, or stem plot, is a technique used to classify either discrete or continuous variables.
Step-by-step explanation:
See the image below. I asked the question before but I guess it was confusing.
Answers
Answer:
A=19
B=1
C=9
D=8
E=27
F=10
G=17
H=7
Can someone please answer this
Answers
Answer:
sorry bro i need points i got 10 minutes left on dis quiz but i recommond course hero bro have a good day
Step-by-step explanation:
Find two numbers which have a sum of 132 and that can be written as the simplified
ratio 3:8
Answers
Answer:
96 and 36
Step-by-step explanation:
3+8 = 11
132/11 = 12
so:
12 x 3 = 36
12 x 8 = 96
whitch expression is equivalent to /147?
A7/3 C3/7
B49/3 D21/7
Answers
Answer:
B 49/3
Explanation:
I did the work, unlike your lazy ahh! :)
2 3/4 of 500grams in step by step calculator
Answers
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
15. The cost of an article including 15% for taxes is
$138.00. What is the cost of the article without
taxes?
Answers
Answer:
$120
Step-by-step explanation:
Set the cost of the article pre-tax as x.
x + 0.15x = 138
1.15x = 138
x = 138/1.15
x = $120
Answer: the cost of the article without taxes is $120.
The required cost of the article without taxes is $120.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
Thus, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
We have been given the cost of an article including 15% for taxes is $138.00.
Lets Set the cost of the article pre-tax as x.
x + 0.15x = 138
1.15x = 138
x = 138/1.15
x = $120
Therefore, the cost of an article including 15% for taxes is $138.00. the cost of the article without taxes is $120.
Learn more about unit price here:
https://brainly.com/question/945712
#SPJ2