Answers
Answer: There are two solutions and they are
theta = 135
theta = 225
=============================================================
Explanation:
Recall that x = cos(theta). Since the given cosine value is negative, this indicates x < 0. Theta is somewhere to the left of the y axis, placing it in quadrant 2 or quadrant 3.
It turns out there are two solutions, with one solution per quadrant mentioned above. Use the unit circle to find that the two solutions are:
theta = 135
theta = 225
You're looking for points on the unit circle that have x coordinate equal to x = -sqrt(2)/2. Those two points correspond to the angles of 135 and 225, which are in quadrants 2 and 3 respectively.
--------
I recommend using your calculator to note that
-sqrt(2)/2 = -0.70710678
cos(135) = -0.70710678
cos(225) = -0.70710678
The decimal values are approximate. Make sure your calculator is in degree mode. Because those three results are the same decimal approximation, this indicates that cos(135) = cos(225) = -sqrt(2)/2.
Related Questions
The radius of a circle is 7 inches. What is the circle's area?
r=7 in
Use 3.14 for .
square inches
Answers
Answer:
153.86
Step-by-step explanation:
3.14 x (7x7) = 153.86
While vacationiong, you decided to go bungee jumping off a cliff into the river. Your height as a function of time is modeled by the function h(t)= -16t^2+16t+370, where t is time in seconds and h is the height in feet.
When did u hi the water? Round your answer to the nearest hundreth?
Answers
Answer:
5.33 Seconds
Step-by-step explanation:
This is because you have to do the quadratic equation and solve.
The time required to hi the water is 5.33 seconds.
What is a quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x as ax^2+bx+c=0 with a ≠ 0 . A quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2.
For the given situation,
The function is h(t)= -16t^2+16t+370
The roots of this function can be found by using the formula,
[tex]t=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex] or [tex]t=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
Here, a=-16, b=16, c=370
⇒ [tex]t=\frac{-16+\sqrt{16^{2}-4(-16)(370) } }{2(-16)}[/tex] or [tex]t=\frac{-16-\sqrt{16^{2}-4(-16)(370) } }{2(-16)}[/tex]
⇒ [tex]t=\frac{-16+\sqrt{23936} }{-32}[/tex] or [tex]t=\frac{-16-\sqrt{23936} }{-32}[/tex]
⇒ [tex]t=\frac{-16+154.712}{-32}[/tex] or [tex]t=\frac{-16-154.712}{-32}[/tex]
⇒ [tex]t=\frac{138.712}{-32}[/tex] or [tex]t=\frac{-170.712}{-32}[/tex]
⇒ [tex]t=-4.33[/tex] or [tex]t=5.33[/tex]
Time cannot be negative. So the value is 5.33.
Hence we can conclude that the time required to hi the water is 5.33 seconds.
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Work out
(8×10^-2)−(4×10^-4)
Give your answer in standard form.
Answers
Answer:
7.96 x 10^2
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
The standard form of [tex]8\times10^{-2} - 4\times10^{-4}[/tex] is [tex]\frac{38}{5000}[/tex].
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, [tex]8\times10^{-2} - 4\times10^{-4}[/tex].
[tex]= \frac{8}{10^2} - \frac{4}{10^4}[/tex].
[tex]= \frac{8}{100} - \frac{4}{10000}[/tex].
[tex]= \frac{80 - 4}{10000}[/tex].
[tex]= \frac{76}{10000}[/tex].
[tex]= \frac{38}{5000}[/tex].
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Honestly I do not like bullies. If you are a bully than STOP.
Answers
Answer:
lol i don't like bullies either
i mean...i say that now...but in first grade i used to be a bully....we don't talk about that tho
anyways have a nice day and show them bullies who's boss
Exactly no one likes bullies :)
hey! i hope your day been good so far ! can anyone help me :)?!
Answers
Answer:
Its 7/ 8
dive the 10 1/2 by the 3/4
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
3/4 / 10 1/2 = 1/14
3/4 * 14 = 10 1/2
yo please help i’ll give u a brainliest
Answers
Answer:
4
Step-by-step explanation:
1st: do 2x3=6 so if 1 6in scoop makes one pitcher of tea then you could make about 4 pitchers of tea because there are the volume of the pitcher of tea mix is 24in so 24/6=4
What is X?? I really
Need help!!!
Answers
Answer:
it's d
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for x
x = 180 - (125 + 38) = 180 - 163 = 17 → C
The function f(t)=-16t^(2)+64 represents the height y (in feet ) of a water droplet t seconds after falling from an icicle. After how many seconds does the water droplet hit the ground
Answers
Answer:
The answer is two seconds
Step-by-step explanation:
Set the y to 0 as we are looking for the height when f(t) has hit the ground. Then factor and the two zeros of the function are -2 and 2. because the -2 is an answer that that cannot make sense for time in a real world scenario, the answer is the positive zero, or two. :-)
Someone help me pls
Answers
the answer is A
5^-8 × 5^4= 5^-8+4
= 5^-4
= 1/5^4
Mia went for a long bike ride. She rode 10.25 kilometers each hour for 4.25 hours, how far did Mia travel on her bike ride?
•44.5625 km
•43.5625 km
•40.5000 km
•14.5000 km
Answers
Answer:
B..... 43.5625 km
Step-by-step explanation:
he total cost of a vase of spring flowers at a flower shop depends on the number of flowers ordered. The vase costs $3, and each flower costs $2.50. Which equation can be used to findc,the total cost of the vase withfflowers?
Answers
Answer:
3+2.50x
Step-by-step explanation
x represents how many flowers you bought which you mulitply with 2.50 since each flower is 2.50 dollars. Then you add 3 since the cost of the vase is 3 dollars.
Please help me this is my last question
Answers
Answer:
x=-22
Step-by-step explanation:
This recipe makes 20 cupcakes. Deepak only wants to make 15 cupcakes. How much of each ingredient does he need? Recipe: Makes 20 cupcakes 10 ounces butter 12 ounces sugar 8 ounces flour 4 eggs
Answers
Answer:
9.6 ounces of butter, 8 ounces of sugar, 12 ounces of flour, 4 eggs
Explanation: 20 / 16 = 4/5. 16 is four-fifths of 20. So multiply 4/5 with everything.
12 * 4/5 = 9.6 ounces
10 * 4/5 = 8 ounces
15 * 4/5 = 12 ounces
5 * 4/5 = 4 eggs
Regina has 16 pencils. James has 3 times as many pencils as Regina.
What are two ways to find the number of pencils James has?
A. 16 + 3 and 16 X 3
B. 16 + 16 + 16 and 16 x3
O C. 3+3+3 and 48 X3
D. 16 + 3 and 3 X 48
E. 3+3+3 + 16 and 16 X 3
Answers
Answer:
B
Step-by-step explanation:
Cada material en sus distintos estados de agregacion, cambia de volumen de forma diferente, sin embargo todos lo hacen en cierta medida. A esta propiedad se le llama
Answers
La respuesta correcta para esta pregunta abierta es la siguiente.
Aunque no se anexaron opciones o incisos para contestar, podemos comentar lo siguiente.
Cada material en sus distintos estados de agregación, cambia de volumen de forma diferente, sin embargo todos lo hacen en cierta medida. A esta propiedad se le llama Estados de Agregación de la Materia.
Las substancias cambian su composición debido a la presión o al cambio de temperatura a la que son sometidos. A ese proceso se le conoce como el estado de agregación de la materia, cuando las moléculas y átomos que constituyen esa matera se ve sometido a una transformación en su composición.
Podemos reconocer comúnmente cuatro estados de transformación de la materia, que son, el estado de plasma, el estado gaseoso, el estado líquido y el estado sólido
find the value of x:)
Answers
Answer:
180 - 58 - 42 = x : sum of angles in a triangle add to 180
80 = x
Find the percent error in this situation:
Estimated value: 56
Actual value: 43
23.2%
0.302%
30.2%
0.232%
Answers
Answer:
30.2%
Step-by-step explanation:
Use the percent error formula:
| (experimental - actual) / actual | x 100
Plug in the experimental and actual values:
| (experimental - actual) / actual | x 100
| (56 - 43 ) / 43 | x 100
(13 / 43) x 100
= 30.2
So, the percent error is 30.2%
hello please help i’ll give brainliest
Answers
Answer:
Option B) His teachings became government philosophy.
a class has ten girls and three boys. if the teacher randomly picks ten students,what is the probability that he will pick all girls?
Answers
Answer:
10/13
Step-by-step explanation:
You will first add all the students the mentioned which gives you 13 then since they ask what is the probability it the teacher would pick girls. You know there's 10 girls and 3 boys so it would be 10/13.
There are 255 calories in 6 ounces of a type of ice cream. How many calories are in 8 ounces of that ice cream?
Answers
Answer:
340
Step-by-step explanation:
255 divided by 6 equals 42.5
255 plus 42.5 times 2
If 3 men can paint 4 houses in 5 days , how many days does it take for 7 men paint 14 houses ??? help me plz
Answers
Answer:
3men = 4houses= 5days
7men= 14houses= x days
14÷7 = 2days
Consider the division expression 7 ½ ÷ 2. Select all multiplication equations that correspond to this division expression.
Answers
Answer:
i dunno
Step-by-step explanation:
but i need the points to ask questions
Express 9+9+9+9 as a single multiplication operation.
Answers
Answer:
9 x 4
Step-by-step explanation:
What is the slope of the straight line that goes
through (1, 8) and (3, 4) ?
Answers
Answer:
-2
Step-by-step explanation:
Slope of the line
[tex] = \frac{8 - 4}{1 - 3} \\ \\ = \frac{4}{ - 2} \\ \\ = - 2[/tex]
PLEASE HELP EASY MATH!!!!
Answers
This is because A=b•h which is A=8•5 A=40
Also P=b+b+h+h which is P=8+8+5+5 P=26
Exam
The blueprint's scale is
1 inch : 9 feet. If the gym's
area is 52 square inches on the
blueprint, what is the actual
square footage of the gym?
The area of the actual gym
is_square feet.
Answers
Answer:
4212 square feet.
Step-by-step explanation:
If the blueprint's scale is 1 inch : 9 feet.
Square both sides
(1in)² = (9ft)²
1in² = 81ft²
Given the gym's area as 52 square inches, hence;
52in² = x
Divide both expressions
1/52 = 81/x
x = 52 * 81
x = 4212ft²
Hence the area of the actual gym is 4212 square feet.
Estimate the line of best fit using two points on the line.
(5, 60)
(3, 44)
O A. y= 5x + 20
O B. y = -5x + 16
O C. y= -8x + 16
D. y = 8x+ 20
Answers
The estimated equation of line is y = 8x+ 20
What is linear equation?
A linear equation is defined as an equation in which the highest power of the variable is always one.
Two points on the line (5, 60), (3, 44)
[tex]y- y_1= \frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y- 60 = \frac{60-44}{5-3} (x-5)[/tex]
[tex]y- 60 = \frac{16}{2} (x-5)[/tex]
[tex]y = 8 (x-5)+ 60[/tex]
[tex]y = 8x+ 20[/tex]
Hence, the estimated equation of line is y = 8x+ 20
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Write the definition of "congruent" in your own words.
Answers
Answer:
The same shapes but flipped or turned.
Step-by-step explanation:
Answer:
the same shape and size but we allowed to flip slide or turn
hope this help
Graph the points (0, 6) and (-8, 0). Which of the following points would create a right triangle?
A (-6,8)
B(-8,6)
C(8, -6)
D(6,-8)
Answers
Answer:
D, I think. Screenshot attached with the points.
Step-by-step explanation:
We have given two points (0, 6) and (-8, 0). The third point (8, -6) will make a complete right-angle triangle.
What is the right triangle?
A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We have given two points (0, 6) and (-8, 0). we want to find Which of the following points would create a right triangle.
We have mentioned the points on the graph that represent a right-angle triangle. we know that the point (8, -6) will make a complete right-angle triangle.
Learn more about a right angle;
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The bowling team at Lincoln High School must choose a president, vice president, and secretary. If the team has 19 members, how many ways could the officers be chosen?
Answers
Answer:
Officers can be chosen in 5,814 different ways.
Step-by-step explanation:
Given that the bowling team at Lincoln High School must choose a president, vice president, and secretary, to determine, if the team has 19 members, in how many ways could the officers be chosen, the following calculation must be performed:
19 x 18 x 17 = X
342 x 17 = X
5.814 = X
Therefore, officers can be chosen in 5,814 different ways.