Evaluate (if possible) the six trigonometric functions of the real number t. (if an answer is underfunded, enter UNDEFINED)
T= 4 π/3
Sin t=
Cos t=
Tan t=
Csc t=
Sec t=
Cot t=
Answers
Answer:
Step-by-step explanation:
sin= - square root 3/2
cos= -1/2
tan= square root 3
csc= -2 square root 3/2
sec= -2
cot= square root3/4
Answer:
[tex]\sin\left(\frac{4\pi}{3}\right)=-\frac{\sqrt{3}}{2}\\\cos\left(\frac{4\pi}{3}\right)=-\frac{1}{2}\\\tan\left(\frac{4\pi}{3}\right)=\sqrt{3}\\\csc\left(\frac{4\pi}{3}\right)=-\frac{2\sqrt{3}}{3}\\\sec\left(\frac{4\pi}{3}\right)=-2\\\cot\left(\frac{4\pi}{3}\right)=\frac{\sqrt{3}}{3}[/tex]
We first find the corresponding angle of 4π/3.
[tex]\frac{4\pi}{3}-\pi=\frac{\pi}{3}[/tex]. And 4π/3 is in the third quadrant. There tan and cot are positive and rest are negative.
[tex]\sin\left(\frac{4\pi}{3}\right)=-\sin\left(\frac{\pi}{3}\right)=-\frac{\sqrt{3}}{2}\\\cos\left(\frac{4\pi}{3}\right)=-\cos\left(\frac{\pi}{3}\right)=-\frac{1}{2}\\\tan\left(\frac{4\pi}{3}\right)=\tan\left(\frac{\pi}{3}\right)=\sqrt{3}\\\csc\left(\frac{4\pi}{3}\right)=-\csc\left(\frac{\pi}{3}\right)=-\frac{2}{\sqrt{3}}=-\frac{2\sqrt{3}}{3}\\\sec\left(\frac{4\pi}{3}\right)=-\sec\left(\frac{\pi}{3}\right)=-2\\\cot\left(\frac{4\pi}{3}\right)=\cot\left(\frac{\pi}{3}\right)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
Learn more: https://brainly.com/question/12356025
Related Questions
The mean of four numbers is 85. The four numbers are 86, 83, 81, and .
a) Write an equation to show this information
b) Solve the equation for .
Answers
Answer:
90
Step-by-step explanation:
a)
Since, to find the average of a set of numbers, you need to add them all together and divide by the amount of numbers:
[tex]\dfrac{86+83+81+x}{4}=85[/tex]
b)
Multiply both sides by 4:
[tex]86+83+81+x=340\\x=90[/tex]
Hope this helps!
Circle O has a circumference of 36 cm.
What is the length of the radius, m?
06 cm
18 cm
36 cm
72 cm
Answers
Answer:
5.73 The closest answer is probably 6
Step-by-step explanation:
Answer: The radius is 5.73 CM so the answer is A, 6.
Step-by-step explanation: The radius is equal to one half the diameter
Pi times the diameter equals the circumfrence. so we do
36/3.14/2
Two sisters decide to invest in a lot which cost $51000. The first sister contributes $1000 more than one - quster of what the second sister contributes. What is the contribution of each sister
Answers
Answer:
One sister contributes 26000
The other contributes 25000
26000+25000=51000
Step-by-step explanation:
Answer:
First sister: $26000
Second sister: $25000
Step-by-step explanation:
If one contributed $1000 more than the other then that means that it is haled between them and the first sister contributed $1000 more than the other. Hope this helps :)
What is the volume, in cubic m, of a rectangular prism with a height of 15m, a width of 4m, and a length of 13m?
Answers
Answer:
V = 780 m3
Step-by-step explanation:
Please help me as soon as possible!
Answers
......
What is the value of x, if the volume of the cone is 12 pi m^3?
4 m
5 m
6 m
10 m
Answers
Answer:
4 m
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
12 pi = 1/3 pi (3)^2 x
12 pi = 1/3 pi 9 x
12 pi = 3pi x
Divide each side by 3 pi
12 pi / 3pi = 3pix/ 3pi
4 =x
What is the value of x?
B
80°
Enter your answer in the box.
x=
Х
А
55°
с
Answers
Answer:
x = 45
Step-by-step explanation:
The sum of the angles of a triangle is 180
80+55+x = 180
135 +x = 180
Subtract 135 from each side
x = 180-135
x =45
Answer:
45
Step-by-step explanation:
combining the a and b lengths gives you 135 then subtract by 180 and you get 45.
Jake is wrapping a gift that is in a box with the following dimensions.
Length: 12 inches
Width: 4 inches
Height: 8 inches
Havana is wrapping a gift whose box's dimensions are all twice the length of the lengths in Jake's box. How many times larger is the surface area of Havana's box than Jake's box?
Answers
Answer:
Because you are looking for square inches of wrapping paper, you are looking for the surface area of the box. A three-dimensional box has a top and bottom that are the same size, a front and back that are the same size, and 2 sides that are the same size...or SA = 2(top/bottom area) + 2(front/back area) + 2(side/side area). Our equation fills in nicely like this:
SA = 2(6 * 14) + 2(6 * 8) + 2(14 * 8)
SA = 2(84) + 2(48) + 2(112)
SA = 168 + 96 + 224
SA = 488 square inches of paper to wrap the box.
Step-by-step explanation:
Match the graph with its equation.
A.)7x-7y=-49
B.)-7x+7y=-49
C.)7x+7y=0
D.)7x+7y=49
Answers
Answer:
B) -7x + 7y = -49
Step-by-step explanation:
This is a y=x plot/line shifted by 7 units.
This can also be verified plugging in the values of x=0,y=-7 and x=7,y=0. The only equation which satisfies these points in Equation B. These points have been chosen as they're the intercepts of this plot.
Answer:
-7x+7y=-49
Step by step Explanation:
This can be verified by giving x=0 and y= -7; x=7 and y=0. The second equation only assures this. Therefore the second equation is correct.
PLS mark me as brainliest
Given f(x)=(2x-3)(3x+7), what is the y-intercept
Answers
Answer:
(0,-21)
Step-by-step explanation:
The x value of a y intercept is always 0
So we can plug in 0 to the equation to solve for the y intercept
(2*0-3)(3*0+7)
-3*7= -21
y intercept: (0,-21)
Answer:
-21
Step-by-step explanation:
f(x)=(2x-3)(3x+7)
The y intercept is when x=0
f(0) = (0-3) (0+7)
-3*7
-21
The y intercept is -21
help me answer this question
Answers
Answer: Sorry i whould help but I cant see it can you put it more bigger
Step-by-step explanation:
can i get your help please
Which answer choice shows the decimals in order from greatest to least?
A. 1.234, 1.237, 1.2, 1.48, 2.01
B. 1.2, 1.234, 1.237, 1.48, 2.01
C. 2.01, 1.48, 1.237, 1.234, 1.2
D. 1.2, 1.48, 2.01, 1.234, 1.237
Answers
Answer:
B. 1.2, 1.234, 1.237, 1.48, 2.01
Step-by-step explanation:
C. 2.01, 1.48, 1.237, 1.234, 1.2
The measure of <1 is 150 degrees. What are the measures of <4, <3, and
<2? See the image below.
The measure of <1 is 150°. What are the measures of <4, <3, and <2?
Answers
Answer:
A
Step-by-step explanation:
360 - 150 = 210
210 / 3 = 70
but hat doesn't really help..
so lets do this,
add each one of the groups up, if one adds up to 210, its the right one.
A = 210
B = 190
C = 255
D = 255
The radius of a sphere is 6 units.
Which expression represents the volume of the sphere, in
cubic units?
27(6)
031(0)3
O 2A(12)2
lo (12)
Answers
Answer: 4/3 π 6³
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a sphere: 4/3 π r³
Replacing with the values given:
V = 4/3 π 6³
If we solve the expression:
V = 4.18 (6)^3
V = 904.77 cubic units
Feel free to ask for more if needed or if you did not understand something.
WILL MARK BRAINLIEST IF ANSWERED WITHIN 5 MINUTES...........2 composite figures. One is comprised of a rectangular prism and a triangular prism. The other is comprised of 2 rectangular prisms.
Explain how to find the volume of any composite figure.
Answers
Answer:
Look at the figure and take note of the types of three-dimensional figures that make it up. Find the volume of each figure. Add the volumes to find the total volume.
Step-by-step explanation:
The volume of the composite figure is solved
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
If a composite figure is made up of a rectangular prism and a triangular prism, you can find the volume of the rectangular prism by multiplying its length, width, and height. Then, you can find the volume of the triangular prism by multiplying its base, height, and 1/2. Finally, you can add the volumes of both prisms to get the total volume of the composite figure.
Similarly, if a composite figure is made up of two rectangular prisms, you can find the volume of each prism by multiplying its length, width, and height. Then, you can add the volumes of both prisms to get the total volume of the composite figure.
To learn more about volume of prism click :
https://brainly.com/question/11336446
#SPJ3
Plz help!!
answer for c using Pythagorean Theorem
Answers
Sq roots of 169 = 13
c = 13
Answer:
c=13
Step-by-step explanation:
a^2 +b^2= c^2
12^2+ 5^2= 144+25=
169= c^2
c=13
Two more than three times a number is six less than the product of two
and a number.
Answers
Answer:
x = -8
Step-by-step explanation:
3x + 2 = 2x - 6
Answer:x = -8
Step-by-step explanation:
110-
у
70-
y = [ ? ]°
Answers
Answer:
y = 90°
Step-by-step explanation:
y + x = 110° because the sum of two interior angles is equal to an interior angle
x + 70° = y ➡ y - x = 70°
y + x = 110°
y - x = 70° add two equations
2y = 180° (x eliminated -x)
y = 90°
Help!!! On a piece of paper graph then determine which answer choice matches the graph you drew
Answers
Answer:
C
Step-by-step explanation:
You read piece wise as
2 turns on at x = -5, then turns off at x = - 1 and so on
A 24
B 12
C 9
D 6
Please help thx
Answers
First, find the total distance between A and B.
3 + 21 = 24 units
Second, divide by 8.
24 / 8 = 3
Third, multiply by 3.
3 * 3 = 9
Therefore, the answer is 3.
Best of Luck!
Answer:
D 6
Step-by-step explanation:
First, we find the distance between points A and B.
AB = |a - b| = |-3 - 21| = |-24| = 24
The distance from A to B is 24.
Now we need 3/8 of that distance.
3/8 of 24 = 3/8 * 24 = 3/8 * 24/1 = 72/8 = 9
Point Q is 9 units to the right of point A.
-3 + 9 = 6
Answer: D 6
Explain at least 3 Properties of 0.
Answers
Answer:
Zero is even (not odd, not neutral)
Zero is neither positive nor negative (the only number with this property)
Zero is an integer (and must be considered when question limits choices to integers)
Zero is a multiple of all numbers (x*0 = 0, so a multiple of any x)
Step-by-step explanation:
Any number to the power of 0 is equal to 1. 0 is neither positive nor negative. 0 is neither prime nor composite. If you add two numbers and the sum is zero, we call the two numbers additive inverses or opposites of each other.
Find the area of the shaded region:
Answers
Find the area of the circle:
Area = PI x r^2
Area = 3.14 x 9^2
Area = 3.14 x 81
Area = 254.34 square cm
Now multiply the area of the circle by the shaded portion which is the fraction of the degree over 360 degrees:
254.34 x 80/360 = 20,347.2/360 = 56.52
The shaded area is 56.52 square cm.
Area of circle formula: A = πr²
A = π(9)²
A = 81π
A = 254.34cm²
The ratio of degrees in the shaded region to total degrees in a circle:
80/360 = 40/180 = 20/90 = 10/45 = 2/9
Multiply:
254.34/1 * 2/9
508.68/9
56.52
Therefore, the area of the shaded region is 56.52cm²
Best of Luck!
For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:
y = x squared + 7 x
Answers
Answer:
a=1, b= 7, c=0
Opens upward since a is positive(meaning it has a minimum vertex)
Y-int: (0,0)
Step-by-step explanation:
y=[tex]x^{2}[/tex]+7x
In order to find, the y-intercept, x has to be 0, so plug in 0 for x
y=[tex]0^{2}[/tex]+7(0)
y=0
So the y intercept: (0,0)
The equation form a parabola that opens up and the y intercept is at y = 0. a = 1, b = 7 and c = 0
What is a quadratic function?A quadratic function is in the form:
y = ax² + bx + c
Given that:
y = x² + 7x, hence:
a = 1, b = 7 and c = 0
The equation form a parabola that opens up and the y intercept is at y = 0.
Find out more on quadratic function at: https://brainly.com/question/1214333
Adrian has an equal chance of being placed on any one of the 6 youth soccer teams. Adrian tossed a fair six-sided number cube 50 times to model the probability of being placed on one of the teams. Which bar graph is most likely the result of Adrian's simulation?
Answers
Answer:
B
Step-by-step explanation:
Its the most reasonable graph out of all of them
Answer:
Top right
Step-by-step explanation:
Looks the most even
Brainliest and 10 points for answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
How do you find the x- and y-intercepts of an equation?
A) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for x.
B) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for y.
C) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for x.
D) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for y.
Answers
Answer:
To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.
Answer:
C
Step-by-step explanation:
A, B, and D don't make sense
Malik scores 24 goals in 8 soccer games. At that rate, how many goals will he sore in 15 games?
Answers
Answer:
45 goals
Step-by-step explanation:
You have the fraction 24/8
After you simplify it you get 3/1 (that’s the percentage of goals/games)
Supposing goals = x,
x/15 = 3/1
x= 45 goals
Plz help i will mark u brianiest
answers choose all that apply
A: Quadrent 1
B: Quadrent 2
C: Quadrent 3
D: Quadrent 4
E; x axis
F:y axis
Answers
Answer:
F, y-axis
Step-by-step explanation:
If point E's y-coordinate is 0, it is located somewhere on the y-axis (meaning F is correct). If point E's x-coordinate is 0, it cannot be on the x-axis (meaning E is incorrect). When a point is on the y-axis, it does not fall into any quadrant (meaning A, B, C, and D are incorrect).
Larry the librarian and Courtney the lawyer are having a debate. Larry contends that the library is bigger than the courthouse in terms of area. Courtney contends the opposite.
To settle their debate, they find satellite images of both buildings and juxtapose them on a single coordinate grid (shown below).
The area of the library is
\text{m}^2m
2
start text, m, end text, squared.
Round the final answer to the nearest square meter. Do not round intermediate calculations.
The area of the courthouse is
\text{m}^2m
2
start text, m, end text, squared.
Round the final answer to the nearest square meter. Do not round intermediate calculations.
Answers
Answer:
Library's Area= 5200
Courthouse' Area= 5027
Larry is correct.
Step-by-step explanation:
Find the GCF for each pair of monomials. 1. 14n2, 35n4 2. 21n3, 18n2 3. 7n2, 9
Answers
Answer:
[tex](1)7n^2\\(2)3n^2\\(3) 1[/tex]
Step-by-step explanation:
(1) [tex]14n^2, 35n^4[/tex]
[tex]14n^2=2 X 7 X n^2\\35n^4=5 X 7 Xn^2Xn^2\\$Therefore, the GCF of 14n^2$ and 35n^4$ is 7Xn^2=7n^2[/tex]
(2)[tex]21n^3, 18n^2[/tex]
[tex]21n^3=3 X 7 X n^2 X n\\18n^2 =3 X 6 X n^2\\$Therefore, the GCF of 21n^3$ and 18n^2$ is 3Xn^2=3n^2[/tex]
(3) [tex]7n^2, 9[/tex]
The two terms are co-prime. Therefore their GCF is 1.
Mario writes the equation (r + y)2 = z2 + 4(1/2ry) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.
Answers
Answer:
x+y
Z2
1/2xy
Step-by-step explanation:
(x+y)^2 finds the area of the outer square by squaring its side length.
z^2 + 4 (1/2xy) finds the area of the outer square by adding the area of the inner square and the four triangles.
