The measure of an angle is the coterminal angle with a 45A°+360A° and can be determined by using the measurement of coterminal angles.
We have to determineWhich expression finds the measure of an angle that is coterminal with a 45° angle?
According to the question,Coterminal angles are those angles that share the terminal side of an angle occupying the standard position.
The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.
A coterminal with 45° is 45°+k°360° with k as an integer.Then,
The coterminal angle with 45°,
When k = 0
Then,
[tex]\rm = 45+(0)360\\\\= 45+0\\\\= 45 \ degree[/tex]
When k = 1
Then,
[tex]\rm = 45+(1)360\\\\= 45+360\\\\= 405 \ degree[/tex]
When k = -1
Then,
[tex]\rm = 45+(-1)360\\\\= 45-360\\\\= -315 \ degree[/tex]
Hence, The measure of an angle that is coterminal with a 45A°+360A°.
For more details about the Coterminal angle refer to the link given below.
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Find the common factor in the given algebraic expressions: x(a-b), y (b-a)
Explain please.
Answer:
the common factor in the given algebraic expressions: x(a-b), y (b-a)
Step-by-step explanation:
(x-y)(a-b)Can someone please help !!
Please help me with this
Twelve is sixteen less than four times a number.
Alan had x dollars in his bank account. He deposited $255.73, and now his balance is $1,896. What was his previous balance?
Write an inequality equation: Lyla has $100 in her bank account. She wants to buy presents that are $5 each. Wrapping paper will cost her $25. How many presents can she buy?
Please help I am stuck on this
(03.01)
Is the following relation a function? (1 point)
x y
1 −2
1 −3
2 1
3 −2
Yes
No
Answer:
no
Step-by-step explanation:
the x values repeat itself
The given relation is not a function.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given a table of x and y values.
We have to determine the relation is a function or not.
By the definition of functions, a relation is a function if an input value does not map to two output values.
That is, an x value will not map to two y values.
From the table,
x = 1 maps to two y values -2 and -3.
This is not possible for functions.
So this is not a function.
Hence the relation is not a function.
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the sum of all but one interior angle of a heptagon is 776°. what is the measure of the final interior angle?
Answer:
The final interior angle = 124°
Step-by-step explanation:
A heptagon has 7 sides. The sum of the interior angles formula:
The sum of the interior angles = (n - 2)180 where n = number of sides.
The sum of the interior angles= (7 - 2)180° = 900°
Six interior angles = 776°.
The final interior angle + six interior angle = 900°
The final interior angle + 776° = 900°
The final interior angle = 900° - 776°
The final interior angle = 124°
Answer:
124
Step-by-step explanation:
Right on Edge 2022
Scientists say we should sleep 3/8 of a day.How about many hours is this
Answer:
9 hours
Step-by-step explanation:
Answer:
[tex]\huge\color{skyblue}\boxed{\colorbox{black}{Answer ☘}}[/tex]
number of hours in a day = 24
according to scientists ,
we should sleep number of hours = 3/8
therefore ,
[tex] \frac{3}{8} \: of \: 24 \: hours = \frac{3}{8} \times 24 \\ = > 9 \: hours[/tex]
hope helpful~
(50 points) Here are descriptions of four situations in which the volume of water in a tank is
a function of time. Match each description to a corresponding graph. Each graph
is used only once.
Available Responses:
Graph 1
Graph 2
Graph 3
Graph 4
Situation A: An empty 20-gallon water tank is filled at a constant rate for 3
minutes until it is half full. Then, it is emptied at a constant rate for 3 minutes.
Situation B: A full 10-gallon water tank is drained for 30 seconds, until it is half
full. Afterwards, it gets refilled.
Situation C: A 2,000-gallon water tank starts out empty. It is being filled for 5
hours, slowly at first, and faster later.
Situation D: An empty 100-gallon water tank is filled in 50 minutes. Then, a dog
jumps in and splashes around for 10 minutes, letting 7 gallons of water out. The
tank is refilled afterwards.
Answer:
A = 3
B = 1
C = 2
D = 3
Situation A is graph 3, situation B is graph 1, situation C is graph 2 and situation D is graph 4.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Situation A :
The water tank is empty at first. So the graph must start at origin.
Tank is filled at a constant rate for 3 minutes until it is half full, that is until it is 10 gallons.
Then the tank is emptied at a constant rate for 3 minutes, which is also 10 gallons.
So the slope must be equal.
And the graph must start from 0 and ends at zero which is graph 3.
Situation B :
Water tank is already full. So the graph must start at higher value in the Y axis.
The only possibility for this is graph 1, since all others starts at origin.
Situation C :
Water tank starts at empty. So the graph starts at 0.
First the rate is slower, then it becomes faster. So there will be an increase in the slope, which is graph 2.
Situation D :
Graph starts at origin since the tank is empty.
Then there is a slight decrease in the water for some time. So the graph turns down slightly, again tank is refilled, so the graph goes up.
Hence each of the graph corresponds to the situation is found.
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LOOK AT THE IMAGE!!!!!
Answer:
a. 3/10
b. 1/10
c. 4/10 or 2/5
Step-by-step explanation:
There is 4 brown, 3 green, 2 red, and 1 purple if you add those all up you get 10. Since there is a total of 10 marbles in the bag and 3 of those are green 3/10 of the marbles are green. Same goes with purple, 1 of the 10 marbles in the bag is purple.
To solve for green and purple you must add them. Since there is 3 green and 1 purple that gives you 4. 4 out of 10 marbles are green or purple. 4/10 can also be simplified to 2/5
I need help with this question
Answer:
-5,2
Step-by-step explanation:
it literally represents LM and Shows it on the graph
Use the distributive property to rewrite as an expression
5(x+3)
Answer:
5x+15
Step-by-step explanation:
you mulityply 5*x and 5*3
does 12 11 and 7 make a right triangle
Answer: no
Step-by-step explanation: hope it helps
can someone help me pls
Answer:
i think you add them not sure...
Step-by-step explanation:
40+44+44+??
ok?
Answer:
x=88°
x-44°=88°-44°=44°
Step-by-step explanation:
angle A+ angle B+angle C=180°
48°+x-44°+x°=180°
=48°-44°+x°+x°=180°
=4°+2x°=180°
=4°-4°+2x°=180°-4°
=2x°=176°
=2x°/2=176°/2
=x°=88°
x°-44°=88°-44°
=x°-44°=44°
Maggie has a collection of 1,200 Pennies. Of these, 25% are dated before 1980, 35% are dated from 1980-2000.and the rest are dated after 2000
How many pennies in Maggie's collection are dated after 2000?
A 480 B 720 C 40 D 60
Answer:
A- 480
Step-by-step explanation:
First, I'm going to work out 25% of 1200 for the before 1980 pennies.
10% = 120
20% = 240
5% = 60
240 + 60 = 300 pennies before 1980.
Next, work out 35% of 1200 instead.
20% = 240
+ 10%
30% = 360
+ 5% = 60
35% = 420 pennies from 1980-2000
Finally, work out how many pennies are leftover.
300 + 420 = 720
1200 - 720 = 480
A is the answer.
Hope this helps and have a good day!
5/7(x-9)=25
what does x equal?
Answer:
[tex]x=44[/tex]
Step-by-step explanation:
[tex]\frac{5}{7}(x-9)=25[/tex]
[tex]5(x-9)=175[/tex]
[tex]x-9=35[/tex]
[tex]x=44[/tex]
What happend when matter condenses??
Plzz Answer???
Answer:
in condensation, gas turns into a liquid
Answer:
Condensation is when a gas becomes a liquid. ... In condensation, matter changes from a gas to a liquid. All matter is made of tiny moving particles called molecules. Evaporation and condensation happen when these molecules gain or lose energy.
-hello10olleh (hello)
Answer: The slope of the line is b. 3
Answer:b
Step-by-step explanation:
*FIRST PERSON TO GET IT RIGHT AND ANSWER FIRST GETS BRAINLIEST*
In an aquarium, there are starfish and octopi in a tank. The total number of animals in the tank is 30. The total number of legs in the tank is 171. Assuming that all animals have all their legs, find the number of each type of animal in the tank. (Starfish have 5 legs and Octopus have 8 legs)
(solve using substitution method. MUST SHOW WORK)
There are 23 sharks and 7 octopi in the aquarium
Let the number of sharks in the aquarium be xLet the number of octopi in the tank be y
If the total number of animals in the tank is 30, therefore;
x + y = 30 ....................... 1If the total number of legs in the tank is 171 with starfish having 5 legs and Octopus having 8 legs, the required expression will be:
5x + 8y = 171 ................ 2From equation 1, x = 30 - y ................... 3
Substitute equation 3 into 2 to have:
5(30-y) + 8y = 171
150 - 5y + 8y = 171
3y = 171 - 150
3y = 21
y = 7
Recall that x = 30 - y
x = 30 - 7
x = 23
Hence there are 23 sharks and 7 octopi in the aquarium
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Please help i cant figure it out will mark branliest
Answer:
b
Step-by-step explanation:
hope it helped u take a look at the picture u attached
Parallel, perpendicular, or neither
1. Y=x+6 and x- y=2
2. X-2y=8 and y=-2x+1
Answer:
1. parallel
2. perpendicular
Step-by-step explanation:
Can someone help me solve this problem? I’m not sure how to solve this type of expression
Answer:
(2x+3)square+2
Step-by-step explanation:
(2x) square +2 (2x)(3)+(3)square
2x square +12x+9
I think so.
pls give me brainliest
Simplify this question
[tex] \frac{8 - \sqrt{ - 36} }{2} \\ = \frac{8 - \sqrt{ 2 \times \: 2 \times 3 \times - 3} }{2} \\ = \frac{8 -2 \sqrt{ - 9} }{2} \\ = \frac{2(4 - \sqrt{ - 9} )}{2} \\ = 4 - \sqrt{ - 9} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
Unfortunately, the problem could not be solved because there is a minus in √36. This basically means that this problem has no answer. Remember, if there is a minus in a root system, that basically means that the answer is Un-defined.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Can someone help me, please? :((((
Answer:
C 132 square units
Step-by-step explanation:
. Happy Friday
Find the slope of the line passing through the points (8,-4) and (1,-9)
Answer:
Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.
Answer: 0.71429
Step-by-step explanation:
A dog's leash is tied to a pole while the owners go into a restaurant to get the dog
some water. If the leash is 7 feet long and the dog can walk 180 degrees in a semi-
circle, how many feet can he walk if he extends the leash as far as it can go? Round
your answer to the nearest foot, and enter the number only.
Answer:
22 feet.
Step-by-step explanation:
Arc Length= Ø / 360 degrees * 2pir
(2pir = 2 * pi * radius)
Given: r = 7 feet
Ø = 180 so the fraction of the circle we seek is 180/360 = 1/2
Arc length: 1/2*2pi*7 = 21.99 ft
22 ft when rounded!
The length of feet he can walk if he extends the leash as far as it can go will be 22 feet.
What is the length of the arc of the circle?The arc length formula for a circle is times the radius of a circle. Arc length ( Angle x radius ) is a way to express the arc length formula in radians.
Given that a dog's leash is tied to a pole while the owners go into a restaurant to get the dog some water. The leash is 7 feet long and the dog can walk 180 degrees in a semi-circle.
The length of the arc will be calculated as below:-
Arc Length= Ø / 360 degrees * 2pir
(2πr = 2x π x radius)
r = 7 feet and Ø = 180 the fraction of the circle we seek is 180/360 = 1/2
Arc length = 1/2 x 2 π x 7 = 21.99 ft
Therefore, the length of feet he can walk if he extends the leash as far as it can go will be 22 feet.
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Use the formula ( v = u + at ) to work out the value of v : when u =6, a = 4, t =30
Answer:
V = 126
Step-by-step explanation:
Step 1) Given that u = 6, a = 4 and t = 30 the equation looks like this: V = 6 + 4(30) (V = U + AT)
Step 2) Multiply 4 by 30 to get 120 and add six to get the answer V = 126.
What is 95/18 as a decimal?
Please include an explanation and the correct answer!
I will give brainliest to the best answer!
I need it in the next 5 mins!
Thank you!
Answer:
5.27777777
repeating 7s forever
rounded to 2 decimal places is:. 5.28
Hey there!
In order for you to find the decimal form of a fraction, you have DIVIDE the NUMERATOR (the TOP number) from the DENOMINATOR (the BOTTOM number)
Here’s the formula
a/b = a ÷ b = [decimal form]
ANSWERING YOUR QUESTION
95/18
= 95 ÷ 18
= 5.277778 ≈ 5.3 or 5.28
Therefore, your answer is: 5.277778
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)