Answer:
[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos(\theta)=\frac{\sqrt{11}}{7}[/tex]
Where θ is in QI.
And we want to determine sin(2θ).
First, note that since θ is in QI, all trig ratios will be positive.
Next, recall that cosine is the ratio of the adjacent side to the hypotenuse. Therefore, the adjacent side a = √(11) and the hypotenuse c = 7.
Then by the Pythagorean Theorem, the opposite side to θ is:
[tex]b=\sqrt{(7)^2-(\sqrt{11})^2}=\sqrt{49-11}=\sqrt{38}[/tex]
So, with respect to θ, the adjacent side is √(11), the opposite side is √(38), and the hypotenuse is 7.
We can rewrite as expression as:
[tex]\sin(2\theta)=2\sin(\theta)\cos(\theta)[/tex]
Using the above information, substitute. Remember that all ratios will be positive:
[tex]\displaystyle =2\Big(\frac{\sqrt{38}}{7}\Big)\Big(\frac{\sqrt{11}}{7}\Big)[/tex]
Simplify. Therefore:
[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]
what is 5 cm in mm. NEED HELP ASAP !!!!!!!
4 ft
5 ft
7.5 ft
The surface area is
6
square feet.
Answer:
30
Step-by-step explanation:
length x width = surface area
7.5 x 4 = 30
Will give brainlst
Have a nice day
Answer:
Remember that the Pythagorean's theorem says that:
For a triangle rectangle with hypotenuse H and catheti A and B:
H^2 = A^2 + B^2
Here we also need to remember that the area of a square of side length L is:
area = L^2
Now let's solve this.
First, we start with two squares, one of side length a and the other of side length b.
Such that the complete area in the first image is:
area = a^2 + b^2
Now we draw two triangle rectangles with catheti a and b, and with hypotenuse c.
in step 3, we rotate those triangles in order to make a larger square, with side length c, with an area equal to:
area = c^2
Notice that we never added more shapes, so the area of the image did not change in all this process, then the initial area must be equal to the final area:
a^2 + b^2 = area = c^2
a^2 + b^2 = c^2
And remember that a and b are the catheti of the triangles, and c is the hypotenuse, then this is the Pythagorean's theorem.
What is the expression resulting from the following diagram?
3x)
Drop Down 1]
-2x-5
[Drop Down 2]
-4/11
[Drop Down 3]
[Drop Down 1)
Select a Value
Drop Down 2]
Select a Value
Drop Down 3]
Select a Value
Answer:
1. -12x^8
2. 8x^6
3. 16x^11
Step-by-step explanation:
The required values for the given table are -12x⁸, 8x⁶ and 16x¹¹ respectively. To understand the calculations, check below.
Multiplication table:The given table represents the Multiplication table.
To fill the table we need to multiply the corresponding elements of that cell of the table.
For drop-down 1,
[tex](-4x^{11})\times (3x^{-3})=(-4\times 3)x^{11-3}[/tex]
[tex](-4x^{11})\times (3x^{-3})=-12x^{8}[/tex]
For drop-down 2,
[tex](-4x^{11})\times (-2x^{-5})=(-4\times (-2))x^{11-5}[/tex]
[tex](-4x^{11})\times (-2x^{-5})=8x^{6}[/tex]
For drop-down 3,
[tex](-4x^{11})\times (-4)=(-4\times (-4))x^{11}[/tex]
[tex](-4x^{11})\times (-4)=16x^{11}[/tex]
Therefore, the required values are -12x⁸, 8x⁶ and 16x¹¹ respectively.
Find out more about 'Multiplication table' here:
https://brainly.com/question/17211095
g During winter, red foxes hunt small rodents by jumping into thick snow cover, without any visual clue. Researchers examined the compass direction of hundreds of such jumps. They found that 73% of jumps in the northeast direction were successful, compared with 60% of jumps in the southwest direction and only 18% of jumps in all other directions. True or False: Jumping direction and jump outcome are independent.
Answer: False
Step-by-step explanation:
Events can be classed as being dependent or independent depending on whether the outcome of a certain event affects the outcome of another. In the scenario above, the success rate of jumps in the Northeast direction is higher than in the southwest direction and even much than in other directions. With these uneven rate of success, the probability that a fox will have a successful jump will depend on the direction in which the fox is jumping. With an high expected success probability in the Northeast and southwest than in other directions
What is the measure of DBE?
The dot plots show the age of different players on two different local soccer teams.
Team A
Team B
+
+
+
4
20
+
29
23
20
24
21
25
26
27
28
29
30
21
22
23
24
28
30
26
28
27
Age (years)
Age (years)
Which statement is best supported by the information in the table?
A.
The range of the data for Team A is equal to the range of the data for Team B
B.
The mode of the data for Team B is greater than the mode of the data for Team A
C.
The distributions of the data for Team A and Team B are approximately
symmetrical
D.
The median of the data for Team B is less than the median of the data for Team A
Answer:
answer is b...............
The population of largemouth bass in a pond is decreasing at the rate of 10% per year. If the population of largemouth bass is 5,000 this year, what will the population be in 16 years?
Answer:
Population after 16 year = 927 people (Approx.)
Step-by-step explanation:
Given:
Decrease rate = 10% per year
Current population = 5,000
Find:
Population after 16 year
Computation:
A = P[1-r]ⁿ
A = 5,000[1-0.1]¹⁶
A = 5,000[0.9]¹⁶
A = 5,000[0.1853]
A = 926.51
Population after 16 year = 927 people (Approx.)
chicken wing chicken wing
Answer:
hot dog and baloney :>
Step-by-step explanation:
yeet
Answer:
Hot dog and baloney
Chicken and macaroni
Chilling with my homies
I heard it so many times :)
WILL GIVE BRAINLIEST!!
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 5(1.07)m
Part A: When the marine biologist concluded her study, the length of the fish was approximately 9.19 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)
Part C: What is the average rate of change of the function f(m) from m = 1 to m = 9, and what does it represent? (4 points)
Step-by-step explanation:
The original function is f(m) = 5(1.07)^m, with the m as an exponent
part A) if the final length is 9.19, we can set f(m) = 9.19 and solve for m
plugging it into a calculator, I get m = ~8.99, so a bit less than 9. therefore, a reasonable domain might be all the m values 9 or below, or m ≤ 9
part B) the y-intercept of a function is the value of the independent variable when the dependent variable = 0. the two variables in your problem are height and number of months - which one do you think is the independent one, and which one is dependent? then re-interpret "value of the independent variable when the dependent variable = 0" in terms of the actual quantities that the variables represent
part C) average rate of change from m = 1 to m = 9
f(9)−f(1)9−1
evaluate, and think about what that represents in terms of height and number of months
Brainiest if your right
i would say the answer is 5/8
because c is 3/4
26,720 inches are equal to _______ miles.
Answer: 0.42171717 miles
Step-by-step explanation:
for inches to mile conversion divide by 63350
so got 0.421717
If anyone can help i would appreciate it. Ill give brainiest to anyone who answers with out a link
Answer:
im pretty sure what u have ther is right
The quadrilateral has the following side lengths: AB = 11, BC =7, CD = 9 and DA = 3. The angles at points A and C are right angles. What is the area of the quadrilateral?
Answer:
C
Step-by-step explanation:
We can calculate the area of triangles ABD and DBC, and then add them together to get the area of the whole quadrilateral.
[tex]A = \frac{11 \times 3 + 7 \times 9}{2} = \frac{33 + 63}{2} = \frac{96}{2} = 48[/tex]
Need answer asap, correct answer will get brainliest.
Answer:
answer option number 4
Step-by-step explanation:
Answer:
p(2,-4) q(3,-1) r(4,-4)
Step-by-step explanation: Reflecting across the y axis changes the x coordinates.
please help fast!!!! trig/ geometry
Answer:
b = 5.7
A = 51.1°
B = 38.9°
Step-by-step explanation:
a = 7
c = 9
✔️Find b using Pythagorean theorem:
b = √(9² - 7²) ≈ 5.7
✔️Find A using trigonometric function:
Reference angle = A
Opposite = a = 7
Hypotenuse = c = 9
Apply SOH:
[tex] sin(A) = \frac{Opp}{Hyp} [/tex]
[tex] sin(A) = \frac{7}{9} [/tex]
[tex] A = sin^{-1}(\frac{7}{9}) [/tex]
A = 51.0575587° = 51.1°
✔️B = 180 - (90 + 51.1) (sum of triangles)
B = 38.9°
What is the length of de
Answer:
B. 37 units
Step-by-step explanation:
DE = 4x + 1
AB = 11x - 25
DE is a midsegment of the ∆ABC
Therefore:
DE = ½(AB) => Triangle Midsegment Theorem
4x + 1 = ½(11x - 25)
2(4x + 1) = 11x - 25
8x + 2 = 11x - 25
Collect like terms
8x - 11x = -2 - 25
-3x = -27
-3x/-3 = -27/-3
x = 9
✔️DE = 4x + 1
Plug in the value of x
DE = 4(9) + 1 = 36 + 1
DE = 37
Slove All questions please 55 points is all I have
Answer:
My name is lil uzi vert
Step-by-step explanation:
maybach maybach
The building below is shown to scale; for every 1 inch of drawing, it is 5 feet in actual distance. The exterior surface area of the building is 250,000 square feet. What is the exterior surface area of the model?
Answer:
50,000 square inches
Step-by-step explanation:
1:5 ratio so 250,000/5=50,000
What is the measure of m?
12
4.
n
m
m = [?]
Please help!
I think the answer to m is 8
angie needs 8 cups of oliv oil to make a recipe if olive oil costs $4.00 a pint how much money will she need to buy the olive oil
ms.vellejo has these cans of soup in her cabinet 1 can of tomato soup 4 cans of chicken soup 3 cans of cheese soup 2 cans of beef soup ms.velljo will randomly choose one can of soup what is the probililty that she will choose a can of beef or chicken soup
Answer:
There is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.
Step-by-step explanation:
Since Ms. Vellejo has 1 can of tomato soup, 4 cans of chicken soup, 3 cans of cheese soup and 2 cans of beef soup in her cabinet, and she will randomly choose one can of soup, to determine what is the probililty that she will choose a can of beef or chicken soup, the following calculation must be performed:
1 + 4 + 3 + 2 = 10
Beef soup = 2 cans = 2/10 = 0.2 = 20%
Chicken soup = 4 cans = 4/10 = 0.4 = 40%
20 + 40 = 60
Thus, there is a 40% chance that she will choose a can of beef soup, a 20% chance that she will choose a can of chicken soup, and a combined 60% chance that she will choose a can of beef or chicken soup.
which value of y makes the inequality 3y^2 + 2(y - 5) >8 true?
A. y = 0
B. y = -1
C. y = -2
D. y = -3
Answer:
-3
Step-by-step explanation:
Two planes just took off from St. Louis, MO. The first plane is traveling 3.5 times as fast as the second plane. After Traveling in the same direction for 9.5 hours they are 2375 miles apart What is the average speed of each plane? (Hint Since they are traveling in the same direction, the distance between them will be the difference of their distances.)
Answer:
Speed of first plane is 350 miles per hour
Speed of second plane is 100 miles per hour
Step-by-step explanation:
Let the speed of the second plane be X
Then the speed of the first plane will be 3.5 X
Distance travelled by first plane is 9.5 *X
Distance travelled by second plane is 9.5 * 3.5 X
Difference of distance between the two plane is
[tex]9.5 * 3.5 X - 9.5 *X = 2375\\23.75 X = 2375\\X = 100[/tex]miles per hour
Speed of first plane is 3.5 *100 = 350 miles per hour
Speed of second plane is 100 miles per hour
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
Vertical/ x = 25.
Step-by-step explanation:
Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.
Vertical angles are also congruent (equal), meaning that both angles equal 75°.
4x - 25 = 75.
To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.
25 + 75 = 100
Lastly, divide 100 from 4.
4x = 100
100 / 4 = 25
x = 25
I need help with this problem
1: yes
2:C
3:D
Step-by-step explanation:
a number is missing in no.3
the ans in 3 is -1,0,5,1,5,6
please help!!!!!!!!!!!!!!!!!!
Answer: C. 1,485 cubic feet
Step-by-step explanation:
Ur welcome :)
Answer:
I am assuming the storage shed is shaped like a rectanglular prism.
v=lwh
v=9*15*11
v=1485 cubic feet
Answer is C.
HELP ME ITS DUE TODAY AND I NEED HELP PLS IM BEGGING
Write a number with one decimal place, that is bigger than 3
but smaller than 4
Answer:
The answer can be 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, or 3.9.
Step-by-step explanation:
All of those work
Terrell built a model of an airplane. The
length of one wing in the model is 4 inches
long. The scale of the model is 1 inch =
17.5 meters. Find the length of the actual
wing of the airplane.
Answer: 70 m
Step-by-step explanation: 4 inch 4·17.5 m = 70 m