Answer:
1. 19 units
2. 22 units
3. 9 units
4. 8 units
5. 11 units
Step-by-step explanation:
On a unit circle, the terminal point of Ø is (1/2, square root 3/2), what is the cos Ø?
A. 1/2
B. Square root 3/3
C. Square root 3/2
D. Square root 3
The cosine of Ø is: [tex]\frac{1}{2}[/tex]
The ordered pair of a unit circle is represented as:
[tex](x,y) \to (\cos(\theta),\sin(\theta))[/tex]
The given parameters can be represented as:
[tex](x,y) \to (\frac{1}{2},\frac{\sqrt 3}{2})[/tex]
Recall that:
[tex](x,y) \to (\cos(\theta),\sin(\theta))[/tex]
Compare the above representation to:
[tex](x,y) \to (\frac{1}{2},\frac{\sqrt 3}{2})[/tex]
This means:
[tex]\cos(\theta) = \frac{1}{2}[/tex] and [tex]\sin(\theta) = \frac{\sqrt 3}{2}[/tex]
Read more about unit circle at:
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simplify the expression
b+4b+-9b
Preston works at a grocery store and earns between $64 and $81 each day he works. Which is a reasonable estimation of how much Preston will earn if he works 5 days?
Answer:
[tex]P=\$362.5[/tex]
Step-by-step explanation:
From the question we are told that
Preston Earns \triangle x=$64-$81
Number of days D=5 days
Generally the average amount of money made by Preston is given by
[tex]X_a_v_g=\frac{64+81}{2}[/tex]
[tex]X_a_v_g=\$72.5[/tex]
Generally a reasonable estimation of how much Preston will earn if he works 5 days P is mathematically given by
[tex]P=72.5*5[/tex]
[tex]P=\$362.5[/tex]
Someone please help?? This is constant of proportionality... I don't get it at all and I need to turn this is ASAP!!!
Answer:
Step-by-step explanation:
From the given graph the line is straight ,so it means that the relation between x and y is directly proportional
(or) you can also say that at each point the slope of the line is same
slope =y/x , slope= 26/2 = 65/2 = 117/9 =13
hence slope is same that's why relation between x and y is direct relation
y∝ x
y=k*x
k=y/x
putt any point one the line to find the value of constant of proportionality,
i putt (2,26)
k=26/2 =13 value of proportionality constantnow to find cost of 14 tickets ,we have y=13*x , now putt x=14we will get cost(its on y-axis while ticket is on x-axis)y=13*14y= $182 cost of 14 ticketsso "C" option is correctAnswer:
Step-by-step explanation:
.........
this ones confusing, i wish i could help sorry.
If sin3A=-root 3 / 2 , find the values of A where 0 degrees is greater to or equal than A is greater to or equal than 360 degrees
Answer:
A is 20°
Step-by-step explanation:
Given sin3A = (√(3))/2. To find A we firstly take the sin^-1 of both sides and we have:
3A = sin^-1(√(3)/2)
We know that sin60° = √(3)/2. Therefore, sin^-1(√(3)/2) = 60°. Hence, we have
3A = 60°.
To get A, divide both sides by 3:
.A = 20°. Therefore, A is 20°.
The roof of a building is 9 m high. A rope is tied from the roof to a peg on the ground 12 m away from the wall. What is the length of the rope?
Answer:
15 m
Step-by-step explanation:
Height of buiding h= 9m
Lenght from building l= 12m
let the length of the rope be x=???
Applying Pythagoras theorem
x^2=h^2+l^2
x^2= 9^2+12^2
x^2= 81+144
x^2=225
square both sides
x=√225
x=15 m
Hence the length of the rope is 15 m
For Exercises 8-10, use trapezoid DEFG with EG = 21 ft and m DGF = 77 to find each measure.
8. ED =
9. DF =
10. m<DEF=
Answer:
what class is this ???
Step-by-step explanation:
The value of each measure are,
8. ED = 16 ft
9. DF = 21 ft
10. m ∠DEF = 103°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
In trapezoid DEFG,
⇒ EG = 21 ft and m ∠DGF = 77°
Now, We know that;
In trapezoid, The sum of the angles on the same side is equal to 180°.
Hence, We get;
⇒ ∠ DGF = ∠ GDE = 77°
And, We get;
⇒ ∠ DEF + ∠ EDG = 180°
⇒ 77° + ∠ DEF = 180°
⇒ ∠ DEF = 180° - 77°
⇒ ∠ DEF = 103°
Since, In trapezoid opposite non parallel line are equal in length.
Hence, We get;
⇒ ED = FG
⇒ ED = 8 + 8
⇒ ED = 16
In trapezoid, Diagonal are equal in length.
Hence, We get;
⇒ DF = EG
⇒ DF = 21 ft
Learn more about the angle visit:;
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#SPJ2
How do I solve this question?
please look at the attachment below (': i feel so d\/mb right now
Answer:
probably the bottom left because it would be equal
Step-by-step explanation:
I hope this helps and you are not d.u.m.b, we just have those days sometimes. lol and this isn't really that easy.
please help asap
What is the y-coordinate of the solution to the system of linear equations below?
4x + 5y = 8
2x - 3y = -18
If Jessica earns 2000$ a month. How long would it take Jessica to earn 23,000?
Answer:
11.5 months
Step-by-step explanation:
All you have to do is divide 23,000 by 2,000
545,00000952 your welcome :)
Help please????????????
Please help me with this homework
Answer:
The first one is not linear equation and the second one is linear equation but I am not sure about the second one
Step-by-step explanation:
Linear equation has constant slope but non linear equation has vary slope
what is 5 dogs + 180 cats?
Answer:
Step-by-step explanation:
185 dogs and cats
Answer:
185 animals altogether ig?
Step-by-step explanation:
x + 4y = 7
4x – 3y = 9
Answer
{3,1}
Explaination
3 +4=7[1] x = -4y + 7
// Plug this in for variable x in equation [2]
[2] 4•(-4y+7) - 3y = 9
[2] - 19y = -19
// Solve equation [2] for the variable y
[2] 19y = 19
[2] y = 1
// By now we know this much :
x = -4y+7
y = 1
// Use the y value to solve for x
x = -4(1)+7 = 3
Solution :
{x,y} = {3,1}
Factor the following polynomial completely x2 - 3x - 10
Answer:
the answer is (x-5) (x+2)
Melanie saves $20 every month in her savings account. She withdrew $60 one time to go shopping. She now has $280 in her account. Which equation represents this situation?
20m/60 = 280
20m/60 = 280
20m + 60 = 280
20m + 60 = 280
20m - 60 = 280
20m - 60 = 280
20m (60) - 280
Answer:
20m - 60 = 280
Step-by-step explanation:
what is equal to 3/6 (who ever answers first gets to be the brainliest <3) BTW THIS IS MATH!!
Select the number line that shows that two opposite numbers have a sun of 0
Answer:
Line A
-3+3=0
Step-by-step explanation:
(PLS HELP ITS EASY) which of the following is a solution to the system of equations shown below?
1 x=10 and y=21. 2x+3y=83
2 x=7 and y=23. y=2x+9
3 x= -4 and y=1
4 x=4 and y=25
Answer:
A solution of the system of equation given in the question is;
(2) x = 7 and y = 23
Step-by-step explanation:
The given system of equation are;
2·x + 3·y = 83...(1)
y = 2·x + 9...(2)
Substituting the value of y = 2·x + 9 from equation (2) into equation (1) gives;
2·x + 3·y = 2·x + 3 × (2·x + 9) = 83
∴ 2·x + 6·x + 27 = 83
8·x = 83 - 27 = 56
x = 56/8 = 7
x = 7
By substituting the value of x = 7 derived above into equation (1), we have;
y = 2·x + 9
Where;
x = 7
y = 2 × 7 + 9 = 14 + 9 = 23
y = 23.
Determine the slope of
the line between each
pair of points.
1. (0, 10) and (3, 12)
Answer:
(1.5, 11)
Step-by-step explanation:
Given angle m ROS = 89°, the angle would be classified as:
O Acute
O Right
O Obtuse
O Straight
Answer:
Step-by-step explanation: Acute
Answer:
Step-by-step explanation:
acute
If p(x) = 2x - 5 and r(x) = 3x + 4, calculate (pr)(x).
A 6x2 - 7x - 20
B 6x² +7X-20
C 5x - 1
D 6x2 - 20
Answer:
A) 6 x² - 7x - 20
Step-by-step explanation:
Explanation:-
Given p(x) = 2 x-5 and r (x) = 3 x +4
(pr)(x) = p(x) r(x)
= (2x -5)( 3 x +4)
= 2x(3x +4) -5( 3x +4)
= 6 x² + 8x - 15 x - 20
= 6 x² - 7x - 20
(pr)(x) = 6 x² - 7x - 20
There were 160 people who voted at the town council meeting. Of these people, 60% voted for building a new basketball court in the park.
How many people voted against building the new basketball court? Complete the explanation of how to find the answer.
60% of 160 equals___ and 160 −___ = ___.
There are___ people that are against building the basketball court.
Answer:
160/100 X 60 = 96
160 - 96 = 64
there are 64 people against.
A+(-5)=-9
Solve the equation for the value of the variable show all work can someone help me
Answer:
A=-4
Step-by-step explanation:
A-5=9
A-5+5=-9+5
Then simplify and you get A=-4
Answer:
A=-4
Step-by-step explanation:
A+(-5)=-9
A-5=-9
A=-9+5
A=-4
Use Pythagorean Theorem to solve following questions, find your answers in the legend below: *
geometry:(
*image shown above*
Answer:
m perpendicular = − 3 /4
Someone please solve x for me
Answer:
x = 20
Step-by-step explanation:
added together, the angles make 180
3x + 80 + 2x = 180
subtract 80 from both sides of the equation
3x + 80 - 80 + 2x = 180 - 80
combine like terms
5x = 100
divide both sides by 5
5x/5 = 100/5
x = 20
Answer:
x = 20
Step-by-step explanation:
added together, the angles make 180
3x + 80 + 2x = 180
subtract 80 from both sides of the equation
3x + 80 - 80 + 2x = 180 - 80
combine like terms
5 x = 100
divide both sides by 5
5x/5 = 100/5
x = 20
please help me please will give brainliest to anyone who is good
Answer:
D
As temperature increases, so does mpg meaning better milage in warmer temperatures
Which three expressions in the table below have a solution of 10 when
x = -1 and y = 2
Answer:
The expressions are;
-5(x)(y)
8-y/x
Step-by-step explanation:
Here, we want to select expressions on the table having a solution of 10, given the value of x and y
For ;
-x(10) = -1(10) = -10
x + y + 7
-1 +2 + 7 = 8
8 -y/x = 8-(2/-1) = 8 + 2 = 10
-5(x)(y)
= -5(-1)(2) = 10
16-x + y - 7
16-(-1) + 2 - 7
16 + 1 + 2 - 7 = 12
