Answer:
C
Step-by-step explanation:
You are looking at the New York ball drop on New Year’s Eve at a distance of 100 m away from the base of the structure. If the ball drops at a constant rate of 2 m/s, what is the rate of change of the
angel between you and the ball when the angle is ( ?
The question is an illustration of related rates.
The rate of change between you and the ball is 0.01 rad per second
I added an attachment to illustrate the given parameters.
The representations on the attachment are:
[tex]\mathbf{x = 100\ m}[/tex]
[tex]\mathbf{\frac{dy}{dt} = 2\ ms^{-1}}[/tex] ---- the rate
[tex]\mathbf{\theta = \frac{\pi}{4}}[/tex]
First, we calculate the vertical distance (y) using tangent ratio
[tex]\mathbf{\tan(\theta) = \frac{y}{x}}[/tex]
Substitute 100 for x
[tex]\mathbf{y = 100\tan(\theta) }[/tex]
[tex]\mathbf{\tan(\theta) = \frac{y}{100}}[/tex]
Differentiate both sides with respect to time (t)
[tex]\mathbf{ \sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot \frac{dy}{dt}}[/tex]
Substitute values for the rates and [tex]\mathbf{\theta }[/tex]
[tex]\mathbf{ \sec^2(\pi/4) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}[/tex]
This gives
[tex]\mathbf{ (\sqrt 2)^2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}[/tex]
[tex]\mathbf{ 2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}[/tex]
Divide both sides by 2
[tex]\mathbf{ \frac{d\theta}{dt} = \frac{1}{100} }[/tex]
[tex]\mathbf{ \frac{d\theta}{dt} = 0.01 }[/tex]
Hence, the rate of change between you and the ball is 0.01 rad per second
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List at least 4 common variable expenses someone might have each month.
Answer:
water, food, toliet paper, toothpaste
Step-by-step explanation:
HELP PLEASE BRAINIEST IF CORRECT!!!!!
Answer:
1/4
Step-by-step explanation:
the number of painted turtles in a pond is ten less than one-third of the number of frogs. Let f represent the number of bullfrogs. Write an expression for the number of painted turtles
The expression for the number of painted turtles in the pond will be 1/3f - 10.
Let the number of bullfrogs be represented by f.
From the given information, the number of painted turtles in a pond is ten less than one-third of the number of frogs, the expression for this will be:
= (1/3 × f) - 10
= 1/3f - 10
Therefore, the expression for the number of painted turtles in the pond will be 1/3f - 10. This implies that we have to multiply the fraction by f and then subtract 10 from the value.
In conclusion, the correct option is 1/3f - 10.
Read related link on:
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Here is a part 2 to my question
Answer:
1st is (D.) 2nd is (C.) 3rd is (D.) 4th is (A.) 5th is (C.)
Jim is going from Town A to Town B. Town B is located at (-4, 5). He makes a stop at his friend’s house, which is halfway along the trip. What are the coordinates of his stop?
Answer:
tạo độ của anh ấy dừng là:
Step-by-step explanat ion(:-2,2.5)
I will brainlist who can answer this 3 Questions!
Answer: 20. A 21. C 22. B
Step-by-step explanation: image attached below for explanation
In this lesson you discovered the Angle Blsector Conjecture. Write the converse of the Angle Blsector Conjecture. Do you think it's true. Why or why not?
Answer: The converse is that if a point is on the interior of an angle and is equidistant from both sides of the angle, then the point lies on the angle bisector. This makes sense since the distance from a point and a side of the angle is a perpendicular line connecting the point to a side. And since it is equidistant from both sides, the perpendicular lines have to be congruent, it make sense if the point is on the angle bisector, the traingles would be congruent.
Step-by-step explanation: The explanation is in the answer.
Black Tuesday refers to the day:
Herbert Hoover was elected president.
World War I started.
the U.S. stock market had one of its worst days ever.
All of these choices are correct.
Answer:
all are correct
Step-by-step explanation:
Find three consecutive positive integers such that the product of the second integer and the third integer is 20.
Helpppppp omggg I’m gonna fail
Answer:
D.
Step-by-step explanation:
at which point does the line y=2-x intersect the circle (x-3)^2+y^2=25
Answer:
Step-by-step explanation:
(6,-1) and (3,4)
Judy earns $65 for working 5 hours. Find the constant of variation
Answer:
13 dollars an hour.
Step-by-step explanation:
65/5 = 13
total/time = constant of variation
20POINTS Given colon g (x) = StartRoot x minus 4 EndRoot and h (x) = 2 x minus 8. What is g(h(10))?
The value of the function g(h(10)) will be 2√2.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given that g(x) is √(x-4) and h(x) is 2x - 8. The value of the function g(h(10)) will be calculated as:-
h(x) = 2x - 8
At x = 10 the value of the function h(x) will be:-
h(10) = ( 2 x 10 ) - 8
h(10) = 20 - 8
h(10 ) = 12
Calculate the value of the function g(h(10)):-
g(h(10)) = √(x-4)
g(h(10)) = √(h(10)-4)
g(h(10)) = √( 12 -4 )
g(h(10)) = √( 8 )
g(h(10)) = 2√2.
Therefore, the value of the function g(h(10)) will be 2√2.
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If i get good grades in 8th grade will it affect the classes I get in 9th grade?
Answer:
It will result if you have advanced classes or get an Ap class
Step-by-step explanation:
It will not affect your 9th grade..
Yet, you should work hard to achieve your aim and gain knowledge not for getting better marks.
I need a equation written for this pleeeeeaaaassse! The constant of proportionality is 2.
but I need an equation for this, I have an attachment for you to help. g= c is not correct sorry.
It sounds like your teacher wants g = 2c as the answer. The constant of proportionality simply tells us what to multiply the input variable by, to get the output variable.
It's similar to saying y = 2x, but we use c in place of x and use g in place of y.
Please help me ASAP!!!!!!!!!!!
Smallest 2-digit number: 23
3-digit number closest to 300: 276
Hope it helps you! ✺ ✺ ✺ ✺ ✺ ✺ ✺
[tex]ANSWERED:\\GraceRosalia[/tex]
Which quadratic function has an axis of symmetry of x = 3?
Answer:
the answer is: y= -x²+6x+2
Amy has 1275 less than her brother ben .then ben spends 550 and amy gets 750 . who has more money now?
Amy because Ben spend the less money then
amy get more money
Amy has more money than her brother after all transactions.
What is an equation and an expression?An equation is a statement that the depicts the values of two mathematical expressions as equal using an (=) sign. Example -
2x = 5
An expression is written using individual terms (either constant or variable) separated by mathematical operations. Example -
3x + 5y + 3
We have Amy who has $1275 less than her brother ben. Ben spends $550 and Amy gets $750.
Assume that the money with Ben and Amy after transactions is $x and $y respectively. Let Ben has a initial amount of $m and Amy has of $n.
n = m - 1275
After transactions -
x = m - 550
y = m - 1275 + 750 = m - 525
Now -
m - 525 > m - 550 for every value of [m].
So, now Amy has more money.
Therefore, Amy has more money than her brother after all transactions.
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Stan’s Skate Shop is having a sale on skateboards. The original price for its Extreme Skateboard was $84.50. The sale price for the skateboard is $50.70 What is the percent decrease in the price of the skateboard?
Answer:
40
Step-by-step explanation:
A number is 6 times another number and their sum is 28.what are the two numbers
Answer: Let the 2 numbers be x and
sum of two numbers is 28....Eq 1: x + y = 28
sum of 6 times the 1st number and 3 times the 2nd number is 105....Eq 2: 6x + 3y = 105
Rearrange Eq 1 to solve for x.
x + y = 28
x = 28 - y --> Substitute into Eq 2, you get
6(28 - y) + 3y = 105
168 - 6y + 3y = 105
-3y = -63
y = -63 / -3 = 21
Now solve for x using Eq 1.
x = 28 - y = 28 - 21 = 7
hope it helped
Step-by-step explanation:
How many 1/4 cup servings are in 4 cups?
Answer:
16
Step-by-step explanation:
there are 4 1/4 servings in one cup
there are 4 cups so 4×4
Answer:
The answer of this would be 4.
Step-by-step explanation:
1/4 + 1/4 + 1/4 + 1/4 = 4
please help me please
Here's the solution in attachment :
2. If h(x) = 5x - 7 , for what value of x is h(x) = 23
Answer:
x=6
Step-by-step explanation:
5x-7=23
5x-7 +7=23+7
5x=30
30/5=6
x=6
Rewrite each number without using an exponent.
5. 5 to the second power
6. 12 to the second power
7. 4 to the third power
8. 6 to the 1st power
9. 4 to the 2nd power
10. 100 to the 1st power
5. 25
6. 144
7. 64
8. 6
9. 16
10. 100
-2(9/4)^2
+9 (9/4)+5
Answer:
15.125
hope it helps-
Answer:
fraction form: 121/8
decimal form: 15.125
Step-by-step explanation:
Help please! I need help with my math question!
Answer:
cc
Step-by-step explanation:
x^2-25y^2+6x+18=0
help me
Answer:
im not very good at that but my best problematic ratio is deviding the x ponet by the ^ and then using your y ponet multiplyed by your first couple of numbers which are "x^2"
6d+8=3d+1 solve for the value of d
Answer:
-7/3
Step-by-step explanation:
6d + 8 = 3d + 1 (subtract 3d from both sides)
3d + 8 = 1 (now subtract 8 from both sides)
3d = -7 (divide both sides by 3)
d = -7/3
Answer:
Step-by-step explanation:
6d+8=3d+1
3d+8=1
3d=-7
D=-7/3
Prove the following relations:
1) (1 - cos²A) (1 + tan²A) = tan²A
Step-by-step explanation:
(1 - cos²A) (1 + tan²A) = tan²A
(sin²A)(sec²A) = tan²A
(sin²A)(1/cos²A) = tan²A
(sin²A)/(cos²A) = tan²A
tan²A = tan²A → Proved
Step-by-step explanation:
So, this way we can do. Thank you!
