A vector has horizontal and vertical components.
The value of [tex]\mathbf{\theta }[/tex] is 45 degrees, when the horizontal and vertical components are equal
Let the magnitude of the vector be H.
So, the horizontal (h) and the vertical components (v) of the vector would be:
[tex]\mathbf{v = Hcos(\theta)}[/tex] --- vertical
[tex]\mathbf{h = Hsin(\theta)}[/tex]
Equate both expressions
[tex]\mathbf{h = v}[/tex]
Substitute values for h and v
[tex]\mathbf{Hcos(\theta) = Hsin(\theta)}[/tex]
Divide both sides by H
[tex]\mathbf{cos(\theta) = sin(\theta)}[/tex]
When [tex]\mathbf{cos(\theta) = sin(\alpha)}[/tex], then
[tex]\mathbf{\theta + \alpha = 90^o}[/tex]
So, we have:
[tex]\mathbf{\theta + \theta = 90^o}[/tex]
[tex]\mathbf{2\theta = 90^o}[/tex]
Divide both sides by 2
[tex]\mathbf{\theta = 45^o}[/tex]
Hence, the value of [tex]\mathbf{\theta }[/tex] is 45 degrees
Read more about vectors at:
https://brainly.com/question/18660017
A hemisphere of radius 8 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maximum volume.
The dimensions of the cylinder that has the maximum volume can be
found be finding the maximum value of the volume function.
[tex]\mathrm{The \ \underline{height \ of \ the \ cylinder \ of \ maximum \ volume \ is \ \dfrac{8}{\sqrt{3} }}}[/tex][tex]\mathrm{The \ \underline{radius \ of \ the \ cylinder \ of \ maximum \ volume \ is \ \dfrac{8 \cdot \sqrt{6} }{3}}}[/tex]Reasons:
The known parameter of the hemisphere are;
The radius of the hemisphere = 8
Required;
The radius and height of the maximum volume of the inscribed cylinder.
Solution:
Let h represent the height of the cylinder, and let r represent the radius of
the cylinder, we have;
r² + h² = 8²
Therefore;
r² = 8² - h² = 64 - h²
r² = 64 - h²
The volume of the cylinder, V = π·r²·h = π·(64 - h²)·h
V(h) = π·(64·h - h³)
At the maximum volume, we have;
[tex]\dfrac{dV(h)}{dh} = \dfrac{d}{dh} \left(\pi \cdot \left(64 \cdot h - h^3 \right) \right) = \pi \cdot \left(64 - 3 \cdot h^2 \right) = 0[/tex]
64 - 3·h² = 0
64 = 3·h²
[tex]h =\sqrt{\dfrac{64}{3} } = \dfrac{8}{\sqrt{3} }[/tex]
[tex]\underline{\mathrm{The \ height \ of \ the \ cylinder, \ h} = \dfrac{8}{\sqrt{3} }}[/tex]
[tex]r^2 = 64 - \dfrac{64}{3} = \dfrac{128}{3}[/tex]
[tex]r =\sqrt{\dfrac{128}{3}} = \dfrac{8 \cdot \sqrt{6} }{3}[/tex]
[tex]\underline{\mathrm{The \ radius \ of \ the \ cylinder, \ } r = \dfrac{8 \cdot \sqrt{6} }{3}}[/tex]
Learn more here:
https://brainly.com/question/14104351
A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x 2) cm. A solid oblique pyramid has a square base with edges measuring x centimeters. The height is (x 2) centimeters. Which expression represents the volume of the pyramid? StartFraction x cubed 2 x squared Over 3 EndFraction cm3 StartFraction x squared 2 x squared Over 2 EndFraction cm3 StartFraction x cubed Over 3 EndFraction cm3 StartFraction x cubed 2 x squared Over 2 EndFraction cm3.
Answer:
a
Explanation:
If a dog has 72 chromosomes how many chromosomes will each daughter cell have.
Answer:
36
Explanation:
Since a daughter has half the parents
Punishment is more effective when applied at least an hour after the target behavior has occurred. Please select the best answer from the choices provided T F.
Answer:
the correct answer is false
Explanation:
Answer:
False
Explanation:
on edge
A 250 kg crate is on a rough ramp.
Answer:
a 250-kg crate is on a rough ramp, inclined at 30 degrees above the horizontal. The coefficient of kinetic friction between the crate and the ramp is 0.22. A horizontal force of 4222 N is applied on the crate, pushing it up the ramp
Explanation:
Kevin, while calculating his tax adjustments, notes that he can make adjustments of $3,435 for contributions to his retirement plan, $3,393 for business losses, and $1,128 for business expenses. If Kevin’s gross income is $45,942, what is his adjusted gross income? a. $53,898 b. $40,242 c. $41,421 d. $37,986 Please select the best answer from the choices provided A B C D.
Answer:
d. $37,986
Explanation:
Answer: D
Explanation:
jus took test
Read the texts below identify and explain the communicative style used in each text.
In what ways can you as a filipino reader be affected by such works brainly.
Youngstown construction plans to discontinue its roofing segment. Last year, this segment generated a contribution margin of $65,000 and incurred $70,000 in fixed costs. Discontinuing the segment will allow the company to avoid half of the fixed costs. What effect is expected to occur to the company’s overall profit?.
The effect expected to occur on the company's overall earnings if Youngstown plans to discontinue its roofing business is a $30,000 reduction.
We were able to find this value by calculating the company's overall profit, using the formula:
To continue:
= contribution margin - fixed cost
To discontinue:
= Inevitable fixed cost / 2
So calculating, we find:
To continue:
= $65,000.00 - $70,000
= -$5,000
(loss)
To discontinue:
= $70,000/2
=$35,000.00
Therefore, to calculate the net loss, we use the following formula:
Net loss: continue - discontinue
= -$5,000.00 - 35,000
= $30,000.00
Therefore, it is correct to say that Youngstown will have a $30,000 reduction in profit by discontinuing the business.
Learn more here:
https://brainly.com/question/16818334
How do you embody the burger king® brand values of dreaming big, meritocracy, and authenticity?.
Burger King's brand values are vital in dictating the company's brand message, meritocracy, and personality.
The brand values of Burger King include dreaming big, meritocracy, and authenticity. They're placed at the core of the brand and dictate the message of the company.
The brand values are vital in shaping the decision-making processes. The brand values of dreaming big, meritocracy, and authenticity are can be applied in the life of an individual as it helps in one's development.
Read related link on:
https://brainly.com/question/25590827
Which one of the following equations correctly represents the process involved in the electron affinity of x?.
Electron affinity is known simply as the energy change from the addition of 1 e– to a gaseous element/ion. The one of the equations correctly represents the process involved in the electron affinity of x is X(g) + e- → X-(g)
For electron affinity,
Atom(g) + e– → Ion–(g), ΔE = –E.A.Electron affinity is simply known as the amount of energy that is given off when an electron is added to a neutral atom to create a negatively charged ion.
It is often hard to measure and as such the values are available for only a few chemical elements.
Learn more from
https://brainly.com/question/20212456
What are the victims of the Guerra Sucia called? "victimones" "The Bad Ones" "The Disappeared" "Unlucky Few".
The disappeared is a term used for people who are missing. The victims of the Guerra Sucia called The Disappeared
Desaparecidos as it is popularly called is a name synonymous to South America. It simply means when an individual is not seen anymore, and most times presumed dead or killed anyone.This world is used mostly by Latin America to imply that a particular person has been secretly imprisoned or killed during a government's vendetta of political suppression.
Learn more from
https://brainly.com/question/16117964
Answer:
"The Disappeared"
Explanation:
A gas occupies 22. 4 l at stp and 23. 0 l at 100°c and 1. 25 atm pressure. How many moles of gas did the system gain or lose?.
Answer:
Use photo math its a good choice if your having hard time with math
What is the best choice for the equation of the line of best fit shown? Note that this estimate would be a strong prediction since it is an interpolation (between data points) and the graph shows fairly strong negative correlation.
Answer: b. Y= -1.5x + 23
Explanation: got it right on edge
Answer:
first one is y= -1.5x+23
second one is 11
Explanation:
Which of the following is a viral infection that most adults contract 2 to 4 times a year? A. Bacterial pneumonia B. Strep throat C. Influenza D. The common cold.
Answer:
D.the common cold
Explanation:
Answer:
The answer is indeed D ;)
Explanation:
What are the possible weaknesses of this peer approach to valuation.
Answer:the chosen peers might not be true competitors, the company might have multiple divisions, and the most appropriate competitors might not have p/e multiples
Explanation:
Who is wardy joubert? does he have a large one?
Answer:
WARDY JOUBERT ||| was known for his famous picture taken in 2010. The picture was taken and had a very, very, very large third leg.
Explanation:
He died by s triyng to feed his starving family. THe picture was meant to raise money for his family.
Wardy Joubert III August 30, 1971 – December 11, 2016, often known as Wood, was an American sermonized and football manager who became the subject of a 2012 internet meme.
What is Wardy Joubert?Wardy Joubert III was born on the 30th of August 1971, and died on the 11th of December 2016. Wardy Joubert was a coach and deacon at San Francisco's St. Paul Missionary Baptist Church. Later in life, he had graphic images shot of him for the indulgent adult video site Pantheon Productions in order to make some additional money, resulting in the viral meme was developed.
Sleeping on a bed of nails has been associated with austere Hindu holy men who sleep on poles and walk on hot coals. He then served as a coach and deacon at San Francisco's St. Paul Tabernacle Baptist Church. To earn some additional income, he had images made of him for the indulgent video site Pantheon Productions, which is how the viral meme was born.
Learn more about on Wardy Joubert, here:
https://brainly.com/question/16395622
#SPJ2
List and describe four ways in which colleges use ACT scores.
if its correct u get brainly
Colleges use ACT scores as a key factor in the admission process, scholarship, placement and eligibility
Admission: Colleges use ACT scores as a key factor in the admission process. Many colleges have a minimum ACT score requirement for admission, and students who score below the minimum may not be accepted. The score also helps admissions officers evaluate applicants and determine their academic preparedness for college.
Scholarship awards: Many colleges offer scholarships based on ACT scores. Students who score high on the ACT may be eligible for more scholarship money, which can help offset the cost of tuition.
Placement: Colleges use ACT scores to place students in appropriate courses. Students who score well on the ACT may be able to bypass introductory courses and enroll in higher-level courses, while students who score lower may need to take remedial courses to build foundational knowledge.
Program eligibility: Some programs at colleges have specific ACT score requirements for admission. For example, students who want to enter a pre-med or engineering program may need a minimum ACT score to be considered for admission. The score also helps determine eligibility for honors programs or other specialized programs within the college.
Read more about colleges at
https://brainly.com/question/27857320
#SPJ1
Choose the best Spanish equivalent to the phrase I am hungry. Soy sed. Estoy hambre. Tengo sed. Tengo hambre.
Answer: late but, the answer would be TENGO HAMBRE
Explanation:
Answer: D. Tengo hambre.
Explanation: On Edge!
Next year baldwin plans to include an additional performance bonus of 0. 25% in its compensation plan. This incentive will be provided in addition to the annual raise, if productivity goals are reached. Assuming the goals are reached, how much will baldwin pay its employees per hour?.
Answer:
Total raise = 5% + 0.25% = 5.25%
Present wages = $28.15
Baldwin will pay = $28.15 (1.0525) = $29.63
Explanation:
Which of the following is not the benefit of recycling?.
An oligopolistic market structure is distinguished by several characteristics, one of which is either similar or identical products. Which of the following are other characteristics of this market structure? check all that apply.
Answer:
The right options are:
B) Difficult entry
C) Mutual interdependence
D) Market control by a few large firms
Explanation: In an oligopoly, there is a small number of large firms dominating a very significant share of the overall market. In addition, an oligopoly is characterized by high entry barriers and the firms sell identical or differentiated products. Moreover, in an oligopoly, firms are interdependent as each firm control a significant market share; so, one firm's policies affect other firms.
Please comment if the answer is not clear to you or you need any improvement. Could you please rate the answer if it was helpful to you?
Explanation:
In what states can the substance exist on the surface of earth at sea level (open to the atmosphere)?.
Answer:
teiple point of 17 degrees and a pressure of 3.2 atmospheres
If you know two angle measures in a triangle, can you find the measure of the third angle? if not, why not? if so, how?.
Answer:
Yes
Explanation:
Yes, you can find the third angle's measurement as all angles in a triangle add up to 180 degrees. Therefore, you would add the angles of the two you already know and subtract that sum from 180 to get the measurement of the third angle. Hope that helps!
What is a common event due to transform plate movement at the San Andreas Fault Zone? Question 3 options: mountain formation no events at all seafloor spreading earthquakes.
Answer:
earthquakes
Explanation:
Did the quiz
Hope this helps
Enjoy your day!
There is a diverging boundary formed when two tectonic plates separate. Earthquakes regularly happen at these boundaries when magma (molten rock, for San Andreas Fault Zone.
What is transform plate movement?Rises from the Earth's mantle to the surface and solidifies to build a new oceanic crust. The Mid-Atlantic Ridge, for instance, has divergent plate boundaries.
When the motion is largely horizontal, a fault at a plate boundary is referred to as a transform fault or transform boundary.
When it merges with another plate boundary, which might be a spreading ridge, a subduction zone, or another transform, it ends abruptly.
Therefore, San Andreas Fault Zone has to transform plate movement due to earthquakes.
Learn more about earthquakes, here:
https://brainly.com/question/11536999
#SPJ5
What is the ratio of the area of ABC to the area of ABD? A. B. C. D.
Answer:
Explanation:
area ABD = 16*12/2
area ABC = 9*12/2
------------------------------
so the ratio of the area ABC to the area of ABD = (9*12/2)/(16*12/2) =
= 9/16
hope this helped!
mark me brainliest :D
The ratio of the area of ABC to the area of ABD is 9/16. The correct option is B.
What is the area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the triangle in a two-dimensional plane is called the area of the triangle.
The area of a triangle is the region bounded by its perimeter or its three sides. The area of a triangle can be calculated using the formula, where the base of the triangle is b and the height is h.
A = ½ (b × h)
The two areas will be calculated as:-
Area ABD = ( 1 / 2 ) x 16 x 12
Area ABC = (1 / 2 ) x 9 x 12
So the ratio of the area ABC to the area of ABD will be
= [ ( 1 / 2) x 16 x 12 ] ÷ [ (1 / 2 ) x 9 x 12 ]
= 9 / 16
Therefore, the area of ABC to the area of ABD is 9/16. The correct option is B.
To learn more about the area, refer to the below link:
brainly.com/question/25292087
#SPJ5
The question is incomplete. Your most probably complete question is given below:
A. 6/12
B. 9/16
C. 8/16
D. 7/8
Sierra left $4. 50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her total bill before the tip? Enter your answer in the box.
Answer:
Total amount is: $25
Explanation:
Given a fixed amount of gas held at constant pressure, calculate the volume it would occupy if a 3. 50 l sample were cooled from 90. 0oc to 30. 0oc.
Answer:
I genuenly don't know
Explanation:
Which detail best supports the central idea that the animals felt pride in growing and supplying their own food?.
Answer:c
Explanation:
The detail that best supports the central idea of animals feeling pride in growing and supplying their own food is their happiness and the positive pleasure they derived from consuming it, now that it was genuinely self-produced.
How did the animals' attitude towards their food change, reflecting their newfound sense of accomplishment and ownership?The animals' happiness and acute positive pleasure in consuming the food highlights their pride and satisfaction in growing and supplying their own sustenance, a departure from the times when they were dependent on their masters for meager rations.
This transformation underscores their sense of achievement and autonomy. Therefore the detail that best supports the central idea of animals feeling pride in growing and supplying their own food is their happiness and the positive pleasure they derived from consuming it, now that it was genuinely self-produced.
Read more about central idea
brainly.com/question/1914190
#SPJ2
Maria, age 28, wants to pay no more than $300 a year in life insurance. What is the face value of the largest 20-year term policy she can buy without spending more than $300 annually? Annual life insurance premium (per 1,000 dollars of face value) for age 28. A 10-year term for female is 1. 28, 15 year term for female is 1. 54, 20 year term for female is 1. 89, and whole life for female is 9. 46. A. $234,000 b. $158,000 c. $11,000 d. $567,000 Please select the best answer from the choices provided A B C D.
Answer:
B
Explanation:
The face value of the largest 20-year term policy that Maria, age 28, can buy without spending more than $300 premium annually is b. $158,000.
Data and Calculations:Expected annual premium payable = $300
Term period = 20 years
Annual life insurance premium (per 1,000 dollars of face value) for age 28 are as follows:
A 10-year term for female is 1.28,
15 year term for female is 1.54
20 year term for female is 1.89
Whole life for female is 9. 46
Annual Premium = Premium Rate/$1,000 x Face Value
Face Value = Annual Premium/Premium Rate x $1,000
Face Value = $158,730 ($300/$1.89 x $1,000)
Thus, the face value of the largest 20-year term policy that Maria, age 28, can buy without spending more than $300 premium annually is b. $158,000.
Learn more about calculating the face value of life insurance at https://brainly.com/question/9520729