Answer:
D
Step-by-step explanation:
(2.5 , 6)
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
Read more about related rates at:
https://brainly.com/question/16981791
write the log equation as an exponential equation. you do not need to solve for x.
Answer:
[tex]5^{1/6} =2x[/tex]
Step-by-step explanation:
Log and exponential forms are inverses. Additionally, the information from one can be used to write in it another form. In a log equation, there are three parts. The formula is [tex]log_{b}(x)=y[/tex]. The formula for exponential equations is [tex]b^y=x[/tex]. This means to find this equation in exponential form write 5 as the base, 1/6 as the power, and 2x as the other side of the equation. This looks like, [tex]5^{1/6} =2x[/tex].
4 Jamyra4555 (follow her)
Answer:
b
Step-by-step explanation:
10*10=100
100+140=240
240/5=48
Answer:
it's BBBBBBBBBBBBBBBBBB) 48
Step-by-step explanation:
- 150 and -50 which one is bigger in inequality?
please help! I will give you brainliest.
Answer:
-150
Cause right now it's negative I think
Yes
please help will give brainliest immediately
Answer:
5
Step-by-step explanation:
H 15 J
------------------------------------------------
5 I 10
15-10 =5
find the answer for the question below
Answer: 16.25 or 16 1/4 miles a week
Step-by-step explanation:
Since the route is 3.25 miles long, and chloe and corinne ride the route 5 times a week, we can use the equation 3.25 x 5 to get to our solution.
3.25 x 5 = 16.25
Simplify this fraction. -8/-4
Answer:
2/1 or 2
Step-by-step explanation:
-8/-4= 8/4= 4/2= 2/1
Hope this helps!
If correct pls mark brainliest:)
Both negatives will eliminate each other, and 8/4 is 2.
2
What is the reason for each step in the solution of the equation?
12−5x+6x=4
Drag and drop the reasons into the boxes to correctly complete the table.
12−5x+6x=4
12+x=4
x=−8
The correct reason for each step in the solution of the equation would be as follows:
12 − 5x + 6x = 4 - Given
12 + x = 4 - Combine Like Terms
x= −8 - Subtraction Property of Equality
Hope this answers the question. Have a nice day.
what is the midpoint of 0.2 and 0.3
Answer:
0.25
Step-by-step explanation:
Half of a tenth in 5 hundredths.
To find the midpoint of 0.2 and 0.3, think of it as 20 and 30.
What would be the midpoint of 20 and 30? 25.
Therefore, 0.25 would be the midpoint of 0.2 and 0.3
-kiniwih426
x−5/8=2x−1 solve for x
Answer:
[tex] if \: \frac{x - 5}{8} = 2x - 1) \times 8 \\ x - 5 = 16x - 8 \\ 15x = 3 \\ x = \frac{15}{3} \\ \therefore \: x = 5 \\ if \: your \: quetion \: is \\ x - \frac{5}{8} = 2x - 1) \times 8 \\ 8x - 5 = 16x - 8 \\ 8x = 3 \\ x = \frac{3}{8} \\ try \: to \: use \: brackets \: next \: time[/tex]
20 - 4 TIMES 4 DIVIDE 2 + 3
[tex]20 - 4 \times 4 \div 2 + 3[/tex]
Using BODMAS formula, we see that we have first divide, then multiply, then add and finally subtractSo[tex]20 - 4 \times 4 \div 2 + 3 \\ = 20 - 4 \times 2 + 3 \\ = 20 - 8 + 3 \\ = 23 - 8 \\ = 15[/tex]Answer:15
Hope it helps..ray4918 here to help
Answer:
14
Step-by-step explanation:
20-4×4÷2+2=14
you change the words into symbols
use distributive property to find the product 1/5 * 5 10/11
pls help lolz
Answer:
1/2/11
Step-by-step explanation:
1/5×5/10/11=1/5×65/11
=13/11
=1/2/11
3b- 4/2 = c , for b
please explain the steps
Answer:
b = c/3 + 2/3
Step-by-step explanation:
3b - 4/2 = c
the goal is to have b all by itself on one side of the equals sign.
start by moving the fraction over to where c is by adding.
3b = c + 4/2
adding -4/2 and +4/2 together makes it a 0 on the b side so there's no need to write anything in that space anymore.
Now 3b are next to each other which means they are multiplying. To move 3 we need to do the opposite (divide by 3 on both sides of the equal sign)
b = c/3 + 2/3
notice I divided both c and 4/2 by 3. 4/2 = 2 so I changed it to 2, then divided by 3
PLZZZ HELPPPP ILL MARK BRAINLIEST TO FIRST AND CORRECT ANSWER THAT HAS WORK AND A THX TO SECOND AND CORRECT ANSWER.
Answer:
well I think it is none of these because the square root would be 9^2
Step-by-step explanation:
Answer:
9^2
Step-by-step explanation
if the are is 81 then you have to think for th numbers like if the are was 20
it would be 5x4=20cm sorry i can't type in anything special ti won'y let me
hi, please what's 4/5 - (-1/3) quick! I dont have that much time PLEASE
Answer:
17/15
Step-by-step explanation:
[tex] \frac{4}{5} - ( - \frac{1}{3}) \\ = \frac{4}{5} + \frac{1}{3} \\ = \frac{12 + 5}{15} \\ = \frac{17}{15} \\ = 1 \frac{2}{15} [/tex]
Please help me with this problem
Answer:
ΔAOK ≅ ΔBOL by SAS
Step-by-step explanation:
Hello there!
We are given:
Line segment AB intersects line segment KL at point O
O is the midpoint of AB
O is the midpoint of L
We want to prove that ΔAOK is congruent to ΔBOL
From the given picture, line segments AK and LB don't exist, but we can draw them in
Once we've drawn them in, we can use the given information to help us
Since O is the midpoint of AB, AO = OB by the definition of a midpoint
O is also the midpoint of LK, and because of that, LO=OK, also because of the definition of a midpoint
Since O is the intersection of AB and KL, that means that O would help form the vertical angles <LOB and <KOA (which are congruent because of vertical angles theorem)
Now, we have 2 sides and an angle which are congruent.
In the answer, we already have ΔAOK filled in
Remember that when naming congruent triangles, the congruent pieces need to match
A corresponds with B
O corresponds with O
K corresponds with L
So, that means ΔAOK ≅ ΔBOL
The reason is because of SAS (side-angle-side). The reason why it's SAS is because we have 2 pairs of congruent sides and one angle which is congruent
Please see the picture below if you'd like a visual aid
Hope this helps!
Which of the following describes distributive property? *
12 + 10 = 22
12 + 10 = 10 + 12
5( 7 + 4) = 35 + 20
5( 7 + 4) = 35 + 5
deu ruim aqui pq eu não sei
Step-by-step explanation:
A cab company charges $7 boarding fee in addition to its meter which is $4 for every mile. The equation of the line that represents this cab company's rate is:
a. y = 4x + 7
b. y = 7x + 4
c. y = 4x - 7
d. y = 4x + 6
Answer:
A
Step-by-step explanation:
y=4x+7
Please help me
10pts + Brainliest
Answer: two hundred and fifty thousand people were left without homes in the earthquake.
They were there for every major disaster.
Step-by-step explanation:
The Kitten Korner animal shelter buys cat food in 64-can crates. Each can holds 6 ounces of cat food. If the animal shelter orders 2 crates of cat food at a time, how many pounds of cat food are in each order?
if f(2x+4)= 4x² + 1 find the value of x
Answer:
It equals to 16.
4(2)*2 - 2(2) + 4
4(4) - 4 + 4
16 - 0
= 16
Can anyone help me with this question? please :)
Can anyone help me with my math problem?
Step-by-step explanation:
1296 students of a school are arranged in a square formation. How many rows did they make??Solution
Number of rows = number of columns = r
:: r × r = 1296
In other words,
r square 2 = 1296
now solve in prime factorization,
the answer is 36
Find the x- and y-intercepts of the graph of 3x-7y=39. State your answers as whole numbers or as improper fractions in simplest form.
Paula orders 3.75 pounds of
macaroni salad and 2.25
pounds of coleslaw. How
many more pounds of
macaroni salad does she
have than coleslaw?
Answer:
1.5 pounds more.
Step-by-step explanation:
3.75 - 2.25
= 1.50.
Answer:
1.50 pounds
Step-by-step explanation:
Paula orders a macaroni salad and coleslaw each weighing 3.75 and 2.25 pounds respectively
so, to find how many more pounds of macaroni salad than coleslaw we do,
3.75-2.25=1.50
therefore, macaroni salad has 1.50 pounds more than coleslaw.
PLS MARK BRAINLIEST
Two times a number Increased by fifteen is the same as five times a number less than forty three
Step-by-step explanation:
2x+15 = 5x-43
- Add 43 to both sides
2x+58 = 5x
- Subtract 2x from each side
58 = 3x
- Divide by 3
30 POINTS AND BRAINLIST TO GRAPH
Graph the equation by translating y=|x|.
y=|x+5|
Answer:
Please refer to the attached photo.
Step-by-step explanation:
Table of values
[tex]\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \sf x &\sf -8 &\sf -7 &\sf -6 &\sf -5 &\sf -4 &\sf -3 &\sf -2 &\sf -1 &\sf 0 &\sf 1 &\sf 2 \\\hline \sf y &\sf 3 &\sf 2 &\sf 1 &\sf 0 &\sf 1 &\sf 2 &\sf 3 &\sf 4 &\sf 5 &\sf 6 &\sf 7 \\\hline \end{array}[/tex]
The deer population is estimated to be 17,600 in northern
Illinois, but an actual count was 21,300. What is the percent
error?
The percentage error in the deer population is 17%
Actual population = 21300
Estimated population = 17600
The percentage error will be calculated by subtracting the estimated population from the actual population and then dividing the result. This will be:
= (Actual population - Estimated population) / Actual population × 100
= (21300 - 17600) / 21300 × 100
= 3700/21300 × 100
= 0.17 × 100
= 17%
Therefore, the percentage error in the deer population is 17%
Read related link on:
https://brainly.com/question/24988697
Given the endpoints D(-2, 3) and L(4,1)
Find the midpoint of DL.
Answer:
Midpoint = (1,2)
Step-by-step explanation:
Using coordinates: D(-2,3) and L(4,1)
Using the midpoint formula:
Midpoint of DL = (D1 + L1) / 2, (D2 + L2) / 2
Midpoint of DL = (-2 + 4) / 2, (3 + 1) / 2
Midpoint of DL = (2) / 2, (4) / 2
Therefore the midpoint of DL is (1,2)
Write 16 as a percentage of 54, give your answer correct to the nearest whole number.
Answer:
30
Step-by-step explanation:
16/54 as a percentage is 29.6296%. round up to get the nearest whole number.
29.6296 rounded up is 30
Answer:
16 = 30% of 54
Step-by-step explanation:
16/54 =x/100
(16/54)(100%) = x
(0.296)(100%) = x
29.6% = x
30% = x