Answer:
2) 162°, 72°, 108°
3) 144°, 54°, 126°
Step-by-step explanation:
1) Multiply the equation by 2sin(θ) to get an equation that looks like ...
sin(θ) = <some numerical expression>
Use your knowledge of the sines of special angles to find two angles that have this sine value. (The attached table along with the relations discussed below will get you there.)
____
2, 3) You need to review the meaning of "supplement".
It is true that ...
sin(θ) = sin(θ+360°),
but it is also true that ...
sin(θ) = sin(180°-θ) . . . . the supplement of the angle
This latter relation is the one applicable to this question.
__
Similarly, it is true that ...
cos(θ) = -cos(θ+180°),
but it is also true that ...
cos(θ) = -cos(180°-θ) . . . . the supplement of the angle
As above, it is this latter relation that applies to problems 2 and 3.
Plz help fast I’ll mark Brainiest. Don’t answer just for points.
Sum of interior angles in quadlateral (trapezoid) is 360 degrees.
[tex]5y+2+8y+73+2y=360[/tex].
Simplify by collecting y terms and subtracting 73 on the other side.
[tex]15y+75=360\implies y=285/15=\boxed{19}[/tex].
Hope this helps.
what is 1.8399 rounded to the nearest tenth
Answer:
1.8400
Step-by-step explanation:
y=−3(x+3)+4 i have no clue how to answer
Answer:
y=-3x+13
Step-by-step explanation:
y=-3x-9+4
-9+9= 0 so that cancel out
next u do
4+9=13
and thats when u drop the variables and the 13 down then it will be
y= -3x + 13
Classify the following polynomial: 3x² + 7x - 5
Answer:
trinomial
Step-by-step explanation:
Since this polynomial has 3 different terms, this is, in fact, a trinomial.
Hope this helps :)
Another one please I am gonna Fail
Answer:
115
Step-by-step explanation:Beacsue that is way smaller than usal...the angle is 180 degress so if you do 55+65=120 so it defintly isn't 120 because that is correct so ya.
Which transformation is shown by the coordinates below? L (-1, 9) M (-8, 8) N (-3, 5) L '(- 9, -1) M' (- 8, -8) N '(- 5, -3) A. Reflection over the x-axis / B. Translation 8 units left and 8 units down / C. Rotation 90 degrees clockwise / D. Rotation 270 degrees clockwise
Answer:
D. Rotation 270 degrees clockwise.
Step-by-step explanation:
The transformation used in the coordinates below was a rotation 270 degrees clockwise, whose definition is:
[tex](x', y') = (r\cdot \cos (\theta - 270^{\circ}), r\cdot \sin (\theta -270^{\circ}))[/tex]
Please note that clockwise rotation is represented by the minus sign.
Where [tex]r[/tex] is the norm of original point, defined as:
[tex]r =\sqrt{x^{2}+y^{2}}[/tex], [tex]\forall \,x,y\in \mathbb{R}[/tex]
And [tex]\theta[/tex] is the direction of the point centered at origin and with respect to +x semiaxis, measured in sexagesimal degrees:
[tex]\theta = \tan^{-1} \frac{y}{x}[/tex]
Now we proceed to prove the statement:
[tex]L (x, y) = (-1, 9) \longrightarrow L'(x,y)[/tex]
Norm
[tex]r = \sqrt{(-1)^{2}+9^{2}}[/tex]
[tex]r = \sqrt{82}[/tex]
Direction
The point is located on 2nd quadrant, which means that [tex]90^{\circ} \leq \theta \leq 180^{\circ}[/tex]. Then:
[tex]\theta = \tan^{-1}\left(\frac{9}{-1} \right)[/tex]
[tex]\theta = 96.340^{\circ}[/tex]
Rotation
[tex]L'(x,y) = (\sqrt{82}\cdot \cos (96.340^{\circ}-270^{\circ}),\sqrt{82}\cdot \sin (96.340^{\circ}-270^{\circ}))[/tex]
[tex]L'(x,y) = (-9, -1)[/tex]
[tex]M(x,y) = (-8,8) \longrightarrow M'(x,y)[/tex]
Norm
[tex]r = \sqrt{(-8)^{2}+8^{2}}[/tex]
[tex]r = \sqrt{128}[/tex]
Direction
The point is located on 2nd quadrant, which means that [tex]90^{\circ} \leq \theta \leq 180^{\circ}[/tex]. Then:
[tex]\theta = \tan^{-1}\left(\frac{8}{-8} \right)[/tex]
[tex]\theta = 135^{\circ}[/tex]
Rotation
[tex]M'(x,y) = (\sqrt{128}\cdot \cos (135^{\circ}-270^{\circ}),\sqrt{128}\cdot \sin (135^{\circ}-270^{\circ}))[/tex]
[tex]M'(x,y) = (-8, -8)[/tex]
[tex]N(x,y) = (-3,5)\longrightarrow N'(x,y)[/tex]
Norm
[tex]r = \sqrt{(-3)^{2}+5^{2}}[/tex]
[tex]r =\sqrt{34}[/tex]
Direction
The point is located on 2nd quadrant, which means that [tex]90^{\circ} \leq \theta \leq 180^{\circ}[/tex]. Then:
[tex]\theta = \tan^{-1}\left(\frac{5}{-3} \right)[/tex]
[tex]\theta = 120.964^{\circ}[/tex]
Rotation
[tex]N'(x,y) = (\sqrt{34}\cdot \cos (120.964^{\circ}-270^{\circ}), \sqrt{34}\cdot \cos (120.964^{\circ}-270^{\circ}))[/tex]
[tex]N'(x,y) = (-5, -3)[/tex]
Hence, the correct answer is D.
due very soon but I can buy myself some time.
please at least explain how to do it and/or how to set it up.
also, ignore the empty set sign on 5 I realized it was probably wrong but didn't want to take another picture
Answer:
4) 16√3 in²
5) 63 cm²
Step-by-step explanation:
The formula to use in these cases is ...
A = (1/2)ab·sin(θ)
where a, b are the side lengths and θ is the angle between them.
It helps to know the trig functions of the "special" angles used here.
sin(120°) = sin(60°) = (√3)/2
cos(60°) = 1/2
sin(135°) = cos(45°) = (√2)/2
__
4) The external angle at the base is the supplement of 120°, so is 60°. Then the length of the missing segment between the end of the base and the right angle at h is ...
x = (8 in)cos(60°) = (8 in)(1/2) = 4 in
So, the bottom edge of the triangle is 12 in - 4 in = 8 in.
The area is ...
A = (1/2)(8 in)(8 in)sin(120°) = (1/2)64(√3)/2 in² = 16√3 in²
__
5) As in the previous problem, the difference between the given horizontal dimension and the base of the triangle is ...
x = (18 cm)cos(180°-135°) = 18(√2)/2 cm = 9√2 cm
Then the base of the triangle is ...
16√2 cm -9√2 cm = 7√2 cm
The area is then ...
A = (1/2)(18 cm)(7√2 cm)(√2)/2 = 63 cm²
6W - 12x + 7w - 8x =
What is the side length,s,of the square?enter your answer in the box
3. How would you classify the
number 125?
A) perfect square
B) perfect cuber one
C) both a perfect square and a
perfect cube
D) neither a perfect square nor a
perfect cube
Please help!!!
3(x – 10) = -9
Answer:
The answer is x = 7
Step-by-step explanation:
Divide each term by 3 and simplify. Move all terms not containing x to the right side of the equation.
Answer:
[tex]\huge\boxed{x=7}[/tex]
Step-by-step explanation:
In order to solve for x, our goal is to isolate it on one side of the equation. We can do this by reversing the equation.
Let's apply the distributive property on the left side:
[tex](3 \cdot x) + (3 \cdot -10) = -9\\\\3x-30=-9[/tex]
Add 30 to both sides:
[tex]3x - 30 + 30 = -9 + 30\\\\3x = 21[/tex]
Divide both sides by 3:
[tex]3x \div 3 = 21 \div 3\\\\x = 7[/tex]
So x = 7.
Hope this helped!
The graph shows a reflection.
True or false: The pre-image and the image are not congruent.
Answer:
False
Step-by-step explanation:
That is false
If the pre-image is reflected over any axis, the image will still be congruent to it
Evaluate the expression when a=3, b=2, and c=12
6+a
5b
C-1
Ct5
Can I have the answer to these? Please!!
Answer:
Step-by-step explanation:
6 + a
Putting value of a
6 + 3 = 9
5b
Putting value of b
5(2) = 10
C - 1
Putting value of c
12 - 1 = 11
Michelle purchased a kids table with a square top. if the area of the square top is 400 inches, what is the length of one of the sides?
i will mark brainliest just please i'm gonna fail fmfmcb
Answer:
fiydy8dy8d8ydy8ddiydy8dyr68d8yd8yd86dy8d8yd86d86f8yf8yfiyfi6dy8f86fi6di6di6f58yfiigdfyifigfuditit8yd58dityofc8568d68r96r69d has been in H2g2g2hh2 for a year wtfor subscribing to the
Answer:
20 cm
Step-by-step explanation:
the square root of 400 is 20
since all 4 sides are equal and the formula is area = L X B
20 x 20 is 400
paint cost 29.95 dollars per gallon, Eumya needs 12.25 gallons to complete a painting project. how much will Eumya spend on paint?
Answer
Step-by-step explanation:
gggtfttttttttttttttttttttttt
Answer:
A) You would move it 2 times B) The Exponent would be 10^2
Step-by-step explanation:
This one's hard to explain..if you want you can message me about it :)
Please help on these 6 “?’s”
5 (4 - 3 over3)
helppppppppppppp
Answer:
25
Step-by-step explanation:
3 over 3 = 1
5 x (4-1)
5 x 4 = 20
5 x 1 = 5
20 + 5 = 25
help on math angle question. ik its easy but I have no idea how math works :D
Answer:
71º is measure of angle A
19º is measure of angle B
Step-by-step explanation:
complementary angles are angles that equal to 90º
so let's add the terms (from angles A & B) and set them equal to 90º
3x+2 + x-4 = 90
4x -2 = 90
add 2 to both sides to get rid of the 2 on the left side and isolate our similar terms
4x = 92
divide both sides by 4
x=23
We're not done though, we must plug in our x value to Angle A terms and Angle B terms.
(3(23) + 2)º = measure of Angle A (solve for both of them)
(23-4)º = = measure of Angle B
3(23) + 2 =
3(23) = 69 (add the 2)
71º is measure of angle A
23-4 = 19º
19º is measure of angle B
double-check
71+19 = 90º
It works
Answer:
71º is measure of angle A
19º is measure of angle B
Step-by-step explanation:
I need help pls!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
Since 80 and 40 are both divisible by 40 and 10, 40 and 10 are factors of both 80 and 40.
Step-by-step explanation:
STAY UP LATE TONIGHT!!!
MARS WILL BE VISIBLE FROM EARTH!!!
IT WON'T BE LIKE THIS AGAIN, UNTIL 15 YEARS!!!
Answer:
You sure this true
Step-by-step explanation:
How you know
Answer:
OOOOOOOO THANK YOU!!!!!!
After a hurricane, the Johnsons had 6 inches of water in their basement that was being pumped out at a rate of 1 inch per hour. The Grahams had 10 inches of water in their basement being pumped out at a rate of 2 inches per hour. Write an inequality that can be used to determine the number of hours it will for the water level in the Grahams’ basement to be equal to or less than the Johnsons’.
Answer:
6>5
Step-by-step explanation:
I know it is true
CAN SOMEONE HELP ME OUT ASAP!!! PLEASE
Answer:
-6.5)7 1/4)6.57)-5 58/100)9 1/3
Step-by-step explanation:
I have no explanation
Open GeoGebra, and follow the steps below to create and compare triangles using the side-angle-side criterion.
Question 1
Create a triangle of your choice on the grid. Measure two of the sides on the triangle and the angle between the two sides. Record the measurements in the table.
Answer:
Answers will vary but might resemble this answer based on a triangle called ∆ABC.
Solve. The following decimal number operations.
1 a. 1.2 + ______ = 1.8
1 b. 3.9 + ______ = 7.47
2 a. ______ + 3.8 = 7.9
2 b. ______ + 0.36 = 0.36
3 a. 1.2 + ______ = 4.1
3 b. ______ + 0.63 = 6.33
4 a. 4.1 + ______ = 7.68
4 b. ______ + 0.9 = 3.8
5 a. 5.1 + ______ = 5.98
5 b. 3.1 + ______ = 4.3
6 a. 0.7 + ______ = 1.3
Answer:
XDDDDDDDDDDDDDDDDDDDDDDDDD
Step-by-step explanation:
Write 3 2/3 as an improper fraction
Answer:
11/3
Step-by-step explanation:
Multiply the 3 by the 3 and then add 2.
[tex]3 \frac{2}{3} [/tex]
[tex](3 \times 3) + 2[/tex]
[tex]9 + 2 = 11[/tex]
[tex] \frac{11}{3} [/tex]
How can we find out whether or not a point is on the line?
Answer:
Plug the points into an equation
Step-by-step explanation:
To find out if a point is on a line, you can plug the points back into an equation. If the values equal one another, then the point must be on a line.
Answer:
To determine if a point is on a line you can subsitute the x and y coordinates into the equation.. If the values equal one another, then the point must be on a line.
Step-by-step explanation:
For example if the x - 3y = 11 and the point is (2, -3) plug in
2 - 3(-3) = 11
2 + 9 = 11
11 = 11
12x5 what is the answer
Answer:
60
Step-by-step explanation:
Answer:
Step-by-step explanation:
it's 60 5+5+5+5+5+5+5+5+5+5+5+5
I need help. What is m
Answer:
A
Step-by-step explanation:
(8x + 4) = (10x-6)
If you solve this you find x = 5, plug that into one and you get 44 degrees
Help Asap ! Find The Measure Of Angle A In The Triangle.
Answer: m<A = 35
Step-by-step explanation: The sum of the measures
of the interior angles of a triangle is 180°.
So we can setup the equation 3x + 5 + 8x + 65 = 180.
Combining our numbers and variables on the left, we have 11x + 70 = 180.
Now subtract 70 from both sides to get 11x = 110.
Dividing both sides by 11, we find that x = 10.
In the diagram, the m<A is represented as 3x + 5.
Plugging a 10 in for x, we have 3(10) + 5 or 30 + 5 which is 35.
So the m<A = 35.
the theatre has 4 chairs in a row. there are 5 rows. how many chairs are there in total.
Answer:
20
Step-by-step explanation:
1111 <--- 1st row
1111 <---- 2nd row
1111 <--- 3rd row
1111 <----- 4th row
1111 <----- 5th row
use multiplication