Answer:
a. sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFractionEquals StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the vertical distance from the x-axis on the graph.
Step-by-step explanation:
sin (π/3) = opposite/hypotenuse = opposite/1; The length opposite the angle is the vertical distance from the x-axis on the graph.
What is the trigonometric ratio of unit circle?
Unit circle is a circle centered at the origin, (0,0) with radius(r) i.,e r= 1.
The angle π/3 forms an arc of length S and the x-axis and y-axis divide the coordinate plane and the unit circle as it is centered at (0.0).
Also, the terminal side intersect the circle at (x, y). Thus;
sin (π/3) = opposite/hypotenuse = opposite/1
Thus;
sin (π/3) = opposite
Also, the length opposite the angle is the vertical distance from the x-axis on the graph.
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Compare the numbers
Answer:The answer is ≥ greater than or equal to
can you mark me Brainliest please
Which statement is true about the equations –3x + 4y = 12 and x - y = 1?
A. The system of the equations has exactly one solution at (-8, 3).
B. The system of the equations has exactly one solution at (-4, 3).
C. The system of the equations has no solution, the two lines are parallel.
D. The system of the equations has an infinite number of solutions represented by either equation.
Answer:
b.the system of the equations has exactly one solution at(-4.3).
PLEASE HELP!!
What is the value of b in the equation below?
g-3.9-2- a^b
O -10
O -6
09
O 16
p
Answer:
-10
Step-by-step explanation:
So its A :}
Please help me!!!!!!!
The cubic polynomial below has a double root at x=-4 and one root at x=6 and passes through the point (2,36) as shown. Algebraically determine it’s equation in factored form.
Answer: P(x) = (-1/4)*(x + 4)*(x + 4)*(x - 6)
Step-by-step explanation:
The factored form of a polynomial is:
P(x) = A*(x - r₁)*(x - r₂)*(x - r₃)....
Where:
A is a real number.
r₁, r₂,.... etc
are the roots.
In this case, we know that the roots are:
-4, -4, and 6.
Then the polynomial will be:
p(x) = A*(x + 4)*(x + 4)*(x - 6)
Now we also know that this polynomial passes through the point (2, 36)
This means that:
P(2) = 36 = A*(2 + 4)*(2 + 4)*(2 - 6) = A*6*6*(-4) = A*(-144)
36 = A*(-144)
-36/144 = A
-0.25 = -1/4 = A
Then the polynomial is:
P(x) = (-1/4)*(x + 4)*(x + 4)*(x - 6)
Kyra observed that 85% of the students at a library liked reading mystery stories. If 30 students at the library did not like reading mystery stories, the number of students at the library who liked mystery stories was _____. (only put numeric values, no other symbols)
Answer:
The first thing we must do is find the percentage of students who do not like to read mystery stories.
We have then:
Then, to find the number of students who like to read mystery stories, we can make the following rule of three:
15% ----------------> 30 students
85% ----------------> x
From here, we clear the value of x.
We have then:
the number of students at the library who liked mystery stories was 170
helppppppppppppppppppppppppppp meeeeeeeeee plzzzzzzzzzzzzzzzz
Answer:
thr answer is 6(2n-3) this is rhe answer
Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
7x+3 = 8x +1
x=2
the answer is 2
help please !!!!!!! if you can
Hello!
The answer is 128,075!
Hopefully this helps! :3
Zara has a collection of 4 marbles: an Aggie, a Bumblebee, a Steelie, and a Tiger. She wants to display them in a row on a shelf, but does not want to put the Steelie and the Tiger next to one another. In how many ways can she do this?
Answer:
Step-by-step explanation:
Oops I meant "there are 3! = 6 ways to permute ABTS that have TS."
There are 12 different combinations to display marvel that doesn't involve Steelie and the tiger.
What are permutation and combination?A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.
Given, Zara has a collection of 4 marbles: an Aggie, a Bumblebee, a Steelie, and a Tiger. She wants to display them in a row on a shelf but does not want to put the Steelie and the Tiger next to one another.
We want the number of ways to permute the string ABST that has S and T separated.
Total ways of displaying marbles = 4! = 24
If S and T are together, then the permutation contains the consecutive pair ST or TS somewhere. We can count these possibilities by regarding ST or TS as a single symbol
permutation of getting them together = 2 * 3!
permutation of getting them together = 12
Thus,
total desired combination = Steelie and tiger do not come together
total desired combination = 24 - 12 = 12
therefore, There are 12 possible combinations of displaying marvel without making Steelie and tiger together.
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how many cups are in 3 liters 1 L = 4.2 cups
Answer:
12.6 cups
Step-by-step explanation:
each liter has 4.2 cups so if you just multiply it by 3 you will get 12.6. cups.
I'm confused please help me :(((
;)))
Answer:
A:(2,3)
B:(3,-6)
C:(5,4)
Step-by-step explanation:
When reflecting across the x-axis, the x coordinate doesn't change while you flip the property of the y coordinate. IE: -3 to 3 , 3 to -3
Same logic with reflecting across the y-axis.
Hope I helped :)
The dimensions for a rectangular prism are x + 7 for the length, x + 9 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form. The volume of the prism can be expressed as _____.
Answer:
The volume of the prism is x^3 + 16x^2 + 63x
Step-by-step explanation:
Mathematically, the volume of the prism is the area of the base multiplied by the height of the prism
The area of the base is l * w
= (x + 7)(x + 9) = x^2 + 7x + 9x + 63 = x^2 + 16x + 63
The volume is now; x(x^2 + 16x + 63)= x^3 + 16x^2 + 63x
How to use distributive property to find 12 + 20 ?
Answer:
The distributive property states that
a*(b + c) = a*b + a*c
You can use the distributive property in reverse to factor out a common factor from the sum of 2 numbers. If you realize that 12 = 4*3 and 20 = 4*5 then you can write
12 + 20 = 4*3 + 4*5 = 4*(3 + 5)
What two consecutive integers have a sum of 39?
19 & 20 are the reqd. integers.
By what is given, x + ( x + 1 ) = 39 .
∴ 2 x + 1 =39.
∴ 2 x = 39 − 1 = 38 .
∴ x = 19 , so, x + 1 = 20 .
Thus, 19 & 20 are the reqd. integers.
if 1/2=-3/7q, then q= -1 1/6 true or false
Answer:
false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
[tex]\frac{1}{2}=\frac{-3}{7}q[/tex]
1/2*7/-3= -7/6
q = -7/6 NOT -11/6 so the statement is false
the sum of three and a number is added to twenty four I need to translate each verbal expression in to a algebraic expression
Answer:
(3+x)+24
Step-by-step explanation:
24+(3+x)
Since addition is communitive, you could take out the parenthesis.
24+3+x
Hope this helps. Have an AWESOME night!!! :)
Piper is at the grocery store and plans on buying cans of soup and frozen dinners, but
is concerned about their sodium content. Each can of soup has 150 mg of sodium and peach frozen dinner has 450 mg of sodium.
How many milligrams of sodium are there in 4 cans of soup and 2 frozen dinners?
How many milligrams of sodium are there in c cans of soup and f frozen dinners?
Answer:
1,500 mg
150c + 450f
Step-by-step explanation:
Each can of soup has 150 mg of sodium and each peach frozen has 450 mg of sodium.
Piper plans to buy some of each product and wants to know how many milligrams of sodium are there in 4 cans of soup and 2 frozen dinners.
Since each can of soup has 150 mg of sodium, 4 cans have 4*150 = 600 mg of sodium.
Each frozen dinner has 450 mg of sodium, thus 2 of them have 2*450 = 900 mg of sodium.
There are 600 + 900 = 1,500 mg of sodium in this combination.
If Piper buys c cans of soup and f frozen dinners, they will have 150c + 450f milligrams of sodium.
need 3 equivalent ratios for 22:55
Answer:
look below
Step-by-step explanation:
2:5
44:110
66:165
It takes 16 beads to make 4 bracelets. What is the constant of proportionality that relates the number of bracelets made, y, to the number of beads used, x?
Answer:
4
Step-by-step explanation:
Given that:
Number of beads used to make 4 bracelets = 16
Number of bracelets made = [tex]y[/tex]
Number of beads used = [tex]x[/tex]
To find:
The constant of proportionality = ?
Solution:
Number of bracelets made is proportional to Number of beads.
i.e.
[tex]y \propto x[/tex]
OR
[tex]y=k\times x[/tex]
Where [tex]k[/tex] is the constant of proportionality.
We are given that:
when [tex]x = 12, y = 4[/tex]
Putting the values in the above equation:
[tex]4 = k \times 16\\\Rightarrow \bold{k = 4}[/tex]
Therefore, the constant of proportionality is 4.
I have something to say- Brainly your users are very rude like im failing bEcAuSe YoU pEoPlE! but like yu history people r like saving my life-
Sincerely - Miha~
Answer:
thank you. someone had to say it
Step-by-step explanation:
Answer:
Omg ik what you mean i feel you
Step-by-step explanation:
What is the slope for 3y+6x=9
Answer:
The slope is -2!
Step-by-step explanation:
Lets Solve!
3y +6x = 9
First we subtract 6x from both sides
3y = -6x + 9
Next we divide by 3 from both sides.
y = -2x + 3
The slope is -2!
Please help with these 2 questions :(( I really will appreciate it a lot
Answer:
c
Step-by-step explanation
DO NOT CHANGE YOU ANSWER. it is perfectly fine
pls mark brainliest
In the diagram below, which two rays are opposite one another?
A. XM and XN
B. PX and XN
C. XQ and MN
D. MN and PQ
answer as fast as you can
Answer:
A. XM and XN
Step-by-step explanation:
Because they are opposite of each other on the same line.
XM and XN are opposite to one another.
What is a ray?Rays are lines that have only one end point.
How to tackle the problem?Observe the below-given figure to understand the answers.
The redline PQ has two rays XP and XQ which are opposite to one another, they have opposite directions and are parallelly opposite to each other.
Similarly, the black line MN has two rays XM and XN opposite to one another. they have opposite directions and are parallelly opposite to each other.
So, from the given options only one option is true which is
A. XM and XN are opposite one another.
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y=−2x+9 write in standard form
Answer:
2 x − y = − 9
Step-by-step explanation:
I am not 100% sure but I think this is right.
Answer:
Step-by-step explanation:
2x+y=9
10. ''Saving electricity in our homes is saving our money.'' Mention five ways of saving energy.
Answer:
Some ways of saving energy include : turn off the fan / lights when you leave a room, hang your clothes out to dry, don't run your dishwasher half full, turn off the water when your not using it, don't stand in front of an open refrigerator door. Hope this helps :)
A store at the beach sells t-shirts for $19.99. If the shirts are 35% off, what is the amount of the discount
sea ice is frozen ocean water, which frezzes at a temperture of about -1.8 degress celsius. what i the temperture in fahrenheit use the formula F=(c) (9/5)+32
Answer:
wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Step-by-step explanation:
Please help. I’ll give brainliest
Answer:
x > -5
Step-by-step explanation:
Choose whether the probability is mutually exclusive or not
answer choice is:
mutually exclusive or not mutually exclusive
P(A) = 2/5 P(B) = 1/2 P(A or B) = 9/10
9514 1404 393
Answer:
mutually exclusive
Step-by-step explanation:
The formula of interest is ...
P(A or B) = P(A) + P(B) - P(A and B)
Filling in the given values, we have ...
9/10 = 2/5 + 1/2 - P(A and B)
Solving for P(A and B), we get ...
P(A and B) = 2/5 +1/2 -9/10 = 4/10 +5/10 -9/10
P(A and B) = 0
__
Events are mutually exclusive when they can never happen at the same time. That is, P(A and B) = 0.
The events A and B are mutually exclusive.