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Answer:
here up I have upload photos
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can someone help me pls
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A boat is pulled toward a dock by means of a rope wound on a drum that is located 6 ft above the bow of the boat. If the rope is being pulled in at the rate of 5 ft/s, how fast (in ft/s) is the boat approaching the dock when it is 34 ft from the dock?
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Answer:
Step-by-step explanation:
Given that:
The height of the dock (h) = 6
Let represent d to be the distance between the boat and the dock
Let the length of the rope between the boat and the drum be denoted by (l)
Then, the rate of change for the length of the rope be:
dl/dt = -5 ft/s
Using Pythagoras rule to determine the relationship between these values, we have:
[tex]l^2 = h^2 +d^2[/tex]
[tex]l^2 = 6^2 + d^2[/tex]
[tex]l^2 = 36 + d^2[/tex]
We relate to: [tex]2l * \dfrac{dl}{dt} = 2d* \dfrac{dd}{dt}[/tex]
From the question;
l = 34,
So to find [tex]\dfrac{dd}{dt}[/tex], we get;
[tex]d = \sqrt{l^2 - 36}[/tex]
[tex]d = \sqrt{34^2 - 36}[/tex]
[tex]d = \sqrt{1156- 36}[/tex]
[tex]d = \sqrt{1120}[/tex]
d = 33.46
So, we have:
[tex]\dfrac{dd}{dt}= \dfrac{l}{d} \times \dfrac{dl}{dt}[/tex]
[tex]\dfrac{dd}{dt}= \dfrac{34}{33.46} \times - 5[/tex]
[tex]\dfrac{dd}{dt}= 1.016 \times - 5[/tex]
[tex]\dfrac{dd}{dt}=-5.08 \ ft/sec[/tex]
Please help me I beg you I really need help.
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Answer:
what's that ,we are all ears
Which statement is TRUE for the given triangles? A) The triangles are similar because the ratios of the corresponding sides are the same. B) The triangles are not similar because they are not the same size. The triangles are not similar because they are not equilateral. D) Similarity cannot be determined because angle measurements are not given.
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Similarity cannot be determined because angle measurements are not given. Option D is correct.
Given that,
A figure is shown we have to determine whether the given triangles are similar or not.
Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
Here,
The ratio of the sides is not equivalent,
70/13 ≠ 42 / 25 ≠ 94 / 30
and also the angles are not given,
Thus, similarity cannot be determined because angle measurements are not given. Option D is correct.
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please help - it neeeeddd this - im going to fail - i will give you a lot of points
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The answer is one of the last two. I am pretty sure that it is corresponding but I could be wrong.
Answer:
389202838
Step-by-step explanation:
What is the sum of the interior angles of a quadrilateral?
90°
180°
270°
360°
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Answer:
360º
Step-by-step explanation:
too easy
Answer:
360
Step-by-step explanation:
I had it on a quiz also plz mark brainliest im trying to level up
Cole is saving money at a constant rateSuppose he initially has $190 saved, and after 3 months, he has $265 saved. Which of these expresses the rate at which Cole is saving?
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Answer:
His unit rate per month is 25 dollars
Step-by-step explanation:
Cole has saved 25 dollars per month. by subtracting 190 from 265 you are left with 75. when left with 75 you can divide by 3 for the the 3 months hes been saving his money. 75 divided by 3 is 25.
The mass of Earth is 5.9722×1024 kg. The mass of Venus is 4.8685×1024 kg. What is the difference between the mass of Earth and the mass of Venus?
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Step-by-step explanation:
5.9722x1024 - 4.8685x1024
1130.1888
Let f(x) = 16 – x^2, g(x) = 4 – x. Find (fg)(x) and its domain.
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Answer:
x+4; all real numbers except =-4
Step-by-step explanation:
f(x)/g(x) = (x2-16)/(x+4)
The domain is all real numbers except x = -4 (because the denominator is zero at x = -4 and division by zero is undefined.)
We can simplify by factoring the numerator:
(x2-16)/(x+4) = (x-4)(x+4)/(x+4) = (x-4)
The domain is the same as the original expression: all real numbers except x = -4
an eight pack of juice cost 4.49 and a 12 pack of juice costs 6.59 which is one the better buy?
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Answer:
12-pack
Step-by-step explanation:
We find the unit cost of each one by dividing its price by the number of juice containers.
4.49/8 = 0.56125
6.59/12 = 0.5491666...
The 12-pack has a lower unit cost, so the 12-pack is a better buy.
HELPP!! ITS A LOT BUT YOU GET POINTS!
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Answer:
To hard me brain go BOOM
Step-by-step explanation:
lol sorry i cant
I’m not quite sure what the answer to this is... some help would be nice! :)
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Answer:
x = total animals
.53x + .28x + .16x +6 = x
.97x +6 = x
6 = .03x
x = 200 total animals
Step-by-step explanation:
if a coin is flipped 3 times, how likely are you to get tails 3 times in a row
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Answer:
Suppose you have a fair coin: this means it has a 50% chance of landing heads up and a 50% chance of landing tails up. Suppose you flip it three times and these flips are independent. What is the probability that it lands heads up, then tails up, then heads up? So the answer is 1/8, or 12.5%.
Step-by-step explanation:
Pedro & Samuel are training for a race. The ratio of miles Samuel runs is 2:3. If Samuel logs 27 miles, then how many miles did Pedro train
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Answer:
18
Reason:
the ratio is 2:3, and samuel is the 3 part. We can put this as for every 2 miles that pedro gets, samuel gets 3 miles. Samuel got 27 miles, so you do 27/3 which is 9, and then 9 * 2, which is 18.
n = 2, a = 16
"Find the indicated real nth root(s) of a.
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x^2 = 16
Square root of 16 = 4
The root is 4
The value of the indicated real nth root(s) of a will be 4.
What is square root of a number?A square root of a number is a value that multiplied by itself gives the same number.
Given that;
The values are,
⇒ n = 2, a = 16
Now,
Since, We know that;
The indicated real nth root(s) of a = [tex]\sqrt[n]{a}[/tex]
Here, The values are,
⇒ n = 2, a = 16
Thus, The indicated real nth root(s) of a is,
⇒ [tex]\sqrt[n]{a}[/tex]
⇒ ²√ 16
⇒ 4
Thus, The indicated real nth root(s) of a = 4.
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Five different awards are to be given to three students. Each student will receive at least one award. In how many different ways can the awards be distributed?
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Answer:
It is 150.
Step-by-step explanation:
This clarifies it https://artofproblemsolving.com/wiki/index.php/2020_AMC_8_Problems/Problem_23
Simplify the sum. (10x^5+1x+8)+(2x^5+8x^2+4)
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Answer:
12x^5 + 8x^2 + x + 12
Step-by-step explanation:
1. Solve for m for the following equation
- (2 m + 8) > 4(10 - m )?
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The value of a school bus reduces from $512000 to $343000 in 3 years. Find the
uniform rate of depreciation per annum (R).
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3(x − 2) = 12 nvwdksbvjkdsbvjkds jksncjv
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Can u guys please help me and explain ur answer ❤️
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Answer: Slope is -2/3
Step-by-step explanation:
Formula: y2 - y1/x2 - x1 = m
Points (You can choose any two points, but I'll choose these): (1,8) and (4,6)
Explanation Steps:
y2 - y1/x2 - x1 = m
6 - 8/4 - 1 = m
-2/3 = m
Slope is -2/3
If I read 4 pages of a book in 5 minutes, how many pages did I read per minute?
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Answer:
about a half a page
Step-by-step explanation:
each chicken has 2 legs. how many legs are there in a group of 9 chickens? show how you decided
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Answer:
18 legs
Step-by-step explanation:
2 legs 9 chickens.
2*9 which is 18.
Hope this helps ;D
Bobby rode 18 miles in 24 minutes. At this rate, how
many miles did he ride in 4 minutes?
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ANSWER ASAP!
What is the result when the number 30 is decreased by 20%?
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Step-by-step explanation:
it would be 24.........
When rounded to the nearest thousands an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh? I need step by step instructions please.
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Answer:
Step-by-step explanation:
It depends on what you have been told about rounding when a 5 is involved.
If you can round if the answer is 4500, then that would be your answer. If you have some complicated method of dealing with the 5 (involving odd or even numbers) the elephant's minimum weight will be different.
I would go with 4500.
Step-by-step. Equation
Sammy deposits $200 in an account at his bank.The simple interest rate is 8%.How much interest will he earn in three years
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Answer:
$48
Step-by-step explanation:
Multiply 200 by 0.08 or 8%. That is how much interest he will earn in a year. Then multiply the product by 3.
I needs help with this question pls
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Answer:
Is it A
Step-by-step explanation:
Which is the equation of a line that passes through the point(-2,5) and has a slope of zero?
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Answer:
y = 5
General Formulas and Concepts:
Alg I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define variables
Point (-2, 5)
Slope m = 0
Step 2: Write function
y - 5 = 0(x + 2)
y - 5 = 0
y = 5
Step 3: Identify
y = 5 is a horizontal line.
jim koslo earns $156,200 annually as a plant manager. He is married and supports 3 children. The state tax rate in his state is 3.55% of taxable income. What ammount is withheld yearly for state income tax?
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Answer:
44
Step-by-step explanation:It's 44 because 156,200 divided by 3.55=44.
If jim koslo earns $156,200 annually as a plant manager. The state tax rate in his state is 3.55% of taxable income. then 5545.1 is the amount is withheld yearly for state income tax
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
jim koslo earns $156,200 annually as a plant manager.
The state tax rate in his state is 3.55% of taxable income.
We need to find the amount is withheld yearly for state income tax
We need to find 3.55% of 156200
First we have to convert 3.55% to decimal by dividing with 100
3.55/100=0.0355
Now multiply 0.0355 with 156200
0.0355×156200
5545.1
Hence 5545.1 is the amount is withheld yearly for state income tax.
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