The figure shows two wires diverging from an intersection point at an angle of 20°. A vertical rod is located a distance x from the intersection point and is moving to the right at speed s. What is the rate of change of the area, dA/dt, formed by the two wires and the rod?
A. dA/dt = (1/2(s)tan20)x
B. dA/dt = (1/2tan20)x
C. dA/dt = ((s)tan20)x
D. dA/dt = (tan20)x
E. dA/dt = (2(s)tan20)x
Answers
Answer:
dA/dt = ( (S)tan20°)x
Option C) dA/dt = ((s)tan20)x is the correct Answer
Step-by-step explanation:
Given the data in the question and given figure in the image;
The second image mages a triangle ΔAOB
using SOH CAH TOA
such that;
tan = 0pp/adj
tan20° = AB / AO
tan20° = AB /x
AB = xtan20°
given; dx/dt = S
now, know that the area of a triangle is 1/2base×height
so Area of ΔAOB will be;
A = 1/2 × AO × AB
we substitute in AB = xtan20° and AO = x
A = 1/2 × x × xtan20°
A = 1/2 × x²tan20°
dA/dx = ( 1/2×2xtan20°)
dA/dx = ( xtan20°)
now
dA/dt = dA/dx × dx/dt
we substitute
dA/dt = ( xtan20°) × S
dA/dt = ( (S)tan20°)x
Therefore; Option C) dA/dt = ((s)tan20)x is the correct Answer
Related Questions
1. A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A
has killed:
A. 30 birds
B
60 birds
С.
72 birds
D. 90 birds
Answers
8x-2y=1
-4x+y=3 plzz answeerrr i will mark branliest who ever answers this for mee!!!!
Answers
500 rounded to the nearest 10
Answers
Answer:
It already is. 500 is the nearest 10.
Step-by-step explanation:
Answer:
500?
Step-by-step explanation:
{29 - 18 } + 14 / 2+6 show your work please
Answers
Answer:
24
Step-by-step explanation:
Hope this helped
Vanessa's drive to work is 14 4/5 hours, whereas Daniel's drive is 9
3/6 hours. How much longer is Vanessa's drive than Daniel's?
Answers
Answer:
14 4/5 = 14 24/30
9 3/6 = 9 15/30
14 24/30 - 9 15/30 = 5 9/30 = 5 3/10
g(x) = x^2-6 / 3x + 10 g(4) = Be sure to simplify your answer.
Answers
Answer:
5/11
Step-by-step explanation:
4² - 6 / 3(4) + 10
16 - 6 / 12 + 10
10 / 22 = 5 / 11
a rectangular pen has a lenght of x meters and a perimeter of 420 meters . find a function for the área of the pen in term of x.
Area:
Lenght:
Width:
Answers
Answer:
?
Step-by-step explanation:
Answer:
Goals of Union:maintain unity,maintain state sovereignty,defend home ground from enemy boost
Goals of Confederacy in Civil War: protect the institution of slavery,abolish slavery,international trade
Step-by-step explanation:
Write a ratio in three different forms based on the following sentence:
For every 7 palm trees, there are 4 coconut trees.
I am actual dog water bc I don't understand this, so if you think you can help, please answer as soon as possible and have a good day!
Answers
Answer:
14 to 8, 21 to 12, and 28 to 16
Step-by-step explanation:
You just take each number and multiply them by THE SAME number
PLS HELP ! ILL MARK BRAINLIST
Answers
Answer:
I am pretty sure your answer is right
Step-by-step explanation:
Samantha wants to buy a dress that costs $20. The sales tax is 6%.
How much is the sales tax?
Answers
Answer:
1.2
Step-by-step explanation:
multitply 20 times 0.06
Which expression is not equal to the expression shown?
33 : 3-4
Answers
Answer:
3.5
Step-by-step explanation:
bc its higher hope helps
A picture frame can hold a Photograph that is 16 inches long and 12 inches wide. What is the area of the photo that fits the frame?
Answers:
56 square inches
28 square inches
192 square inches
162 square inches
Answers
Answer:
16x12=192
Step-by-step explanation:
Two times sixteen equals thirty two, ten times sixteen equals one hundred sixty, thirty two plus one hundred sixty equals one hundred ninety two
You're standing on the ground 7777 meters away from the bottom of a tall tower. The tower itself is 346346 meters tall. What is the angle elevation as you look up to the very top of the tower? Round your answer to the nearest tenth.
Answers
Answer:
88.7°
Step-by-step explanation:
First, visualize. Assuming that the tower is at a perfectly 90° angle to the ground, you have a right triangle. We will call this triangle ΔABC where A is where you are, B is the top of the tower, and C is the base of the tower. Now we know the following:
∠A = ?
∠B = ?
∠C = 90
a = 346346
b = 7777
c = ?
Note: Triangles are labeled with three pairs of letters: a, b and c and A, B and C. The lower case letters, a, b and c represent the sides, and the upper case letters are the angles that are directly opposite of those sides. (see attached reference)
c is easy, c is the hypotenuse, so you can use the following equation to find the hypotenuse:
a² + b² = c²
Rearranged:
c = ± [tex]\sqrt{a^{2} +b^{2} }[/tex]
Substitute a and b:
c = ±[tex]\sqrt{346346^{2} +7777^{2} }[/tex]
Comes out to ~346433.3 meters.
Now if we use the Law of Sines:
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
We can use c and a, since we're trying to find what angle A is, so the ratio is set up as:
[tex]\frac{346346}{sinA}[/tex] = [tex]\frac{346433.3}{sinC}[/tex]
Well we know that C = 90, and so sin(90) in degrees (as opposed to radians) is 1. So then the set of equations is now:
[tex]\frac{346346}{sinA}[/tex] = [tex]\frac{346433.3}{1}[/tex]
Cross Multiply to get rid of the fractions:
346346 = 346433.3 * sin(A)
Divide:
[tex]\frac{346346}{346433.3}[/tex] = sin(A)
Using a calculator, if you take the arcsin of that fraction, you will get what angle A is supposed to be:
arcsin( [tex]\frac{346346}{346433.3}[/tex] ) = ∠A = 88.7°
Please hurry it’s missing
Answers
Answer:
[tex]\frac{6}{7}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{7}[/tex]÷[tex]2\frac{1}{2}[/tex]=[tex]\frac{15}{7}[/tex]÷[tex]\frac{5}{2}[/tex]
= [tex]\frac{6}{7}[/tex]
solve for x x/10+5=−1
x=
Answers
Answer:
x=-60
Step-by-step explanation:
You solve for x by simplifying both sides of the equation, then isolating the variable.
2x^2+16x+42=0 what is the answer?
Answers
Answer:
no solution
Step-by-step explanation:
With some linear expressions, like this one, that has an answer of 0 has no solution
What’s 3x plus 2y plus 4
Answers
Answer:
You can't add all of these together due to the fact that they are different variables. It is like trying to add pears and apples and saying them in one word. You can't do it.
Step-by-step explanation:
Find the midpoint of the segment with the given endpoints.
(4.4) and (2,9)
Answers
pls answer if u know any of these yt's, konekokitten, sons of fun, rambling ramul, magicbus, kelogish, zomg, NoOneKnowsWhoIAm_YT, russo plays, faave.
Answers
Answer:
i do
Step-by-step explanation:
Answer:
i know these cause my brother lol
Step-by-step explanation:
i know konekitten,russo plays,kelogish
1. What is the first step to solve the equation? 2/5 n=5 7/9 *
A. Divide both sides by 2/5
B. Add 2/5 to both sides.
C. Multiply 2/5 to both sides
D. Subtract 2/5 from both sides
Answers
A. Divide both sides by 2/5
WILL GIVE BRAINLIEST PLS HELP ME ASAP!!!
The rectangular floor of a classroom is 36 feet in length and 32 feet in width. A scale drawing of the floor has a length of 9 inches. What is the area, in square inches, of the floor in the scale drawing?
Answers
Answer:
1152
Step-by-step explanation:
36x32=1152
The sum of two numbers is 79,and their difference is 33
Answers
Answer: infinite answers, jk there is like a lot tho
Step-by-step explanation: The sum of x and y is 79. In other words, x plus y equals 79 and can be written as equation A:
x + y = 79
The difference between x and y is 23. In other words, x minus y equals 23 and can be written as equation B:
x - y = 23
Now solve equation B for x to get the revised equation B:
x - y = 23
x = 23 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 79
23 + y + y = 79
23 + 2y = 79
2y = 56
y = 28
Now we know y is 28. Which means that we can substitute y for 28 in equation A and solve for x:
x + y = 79
x + 28 = 79
X = 51
Summary: The sum of the two numbers is 79 and their difference is 23. What are the two numbers? Answer: 51 and 28 as proven here:
Sum: 51 + 28 = 79
Difference: 51 - 28 = 23
Please give me brainliest
At a baseball game, a vender sold a combined total of 225 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Answers
Let the number of hotdogs sold = X
Soda was 2 times the amount so soda = 2x
The total of both was 225:
2X + x = 225
Simplify:
3x = 225
Divide both sides by 3:
x = 225/3
x = 75
Hot dogs = 75
Soda = (75 x 2) = 150
Answer:
ngoqerngonaeoNFBVQIBIBnvoONOWNVOw
Step-by-step explanation:
hope this helps
3x−4) −(x−5) what the answer
Answers
Answer:
2x+1 :)
Step-by-step explanation:
hope this helpsss!!
Zoe has 16.8 feet of fabric to make masks. Each mask takes 1.2 feet of fabric to make. How many masks can she make?
Answers
Answer:
Zoe can make 14 masks
What distance will a truck travel in 3 hours at an average speed of 50 mpg (miles per hour)? using velocity
Answers
What is Extended facts
Answers
Answer:
Extended facts are basic addition facts multiplied by a power of 10, such as 10, 100, 1,000.
Step-by-step explanation:
Example: 7 + 6 = 13 (basic) 70 + 60 = 130 (extended) 700 + 600 = 1300 (extended).
Answer:
Extended facts are basic addition facts multiplied by a power of 10, such as 10, 100, 1,000, etc. Example: 7 + 6 = 13 (basic) 70 + 60 = 130 (extended) 700 + 600 = 1300 (extended)Step-by-step explanation:
what does this mean I'm helping my cousin I dont know what this is a rectangle by what part
Answers
Answer:
This is an 8 by 4 triangle
Step-by-step explanation:
It was asking for the dimensions of the rectangle
Complete the statement by filling in the blanks. The null hypothesis H0 is the statement of _________ and always has a ______ sign. The alternative hypothesis Ha is the __________ hypothesis. It is a statement about the value of a __________ that we intend to test. Group of answer choices
Answers
Answer:
No change ; = ; research ; parameter
Step-by-step explanation:
The Null hypothesis in a statistical test is always the initial truth which always means that a research scenario or statement is as it is or that there is no change whatsoever. The null hypothesis is usually denoted as H0 ; because it is always the initial truth or accepted claim, it usually takes a equal to sign, this denotes that, there is no change in parameter, either the population mean or any other statistical measure we wish to test. The alternative hypothesis on the other hand always negated the null hypothesis, because it brings up a claim which is to check or peruse the Null hypothesis, hence, it is a research hypothesis, denoted as Ha: ;
The alternative hypothesis contains the statement about the population parameter we wish to test( parameter is a measured value about the population).
I need help please!:D
Answers
Answer:
߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷߷ i will k ill u
Step-by-step explanation:
Answer:
No
Yes
No
Yes
Step-by-step explanation:
Match the denominators for 1, 2, and 4 and then calculate.
For number 3, change both to improper fractions and calculate
