The rate of change of the hypotenuse after 2 minutes is 0.505 cm/min
Let L be the length of one leg and D be the length of the other leg of the right triangle and y its hypotenuse
Since it is a right angled triangle, we have that, using Pythagoras' theorem
y² = L² + D²
Since the length of sides are the same, L = D = 70 cm.
So, y² = L² + D²
y² = 70² + 70²
y² = 2(70²)
y = 70√2
y = 98.99 cm
Also, one side increases at a rate of 5 cm/min and the other side decreases at a rate of 5 cm/min.
The increase in length of one side after 2 min is 5cm/min × 2 min = 10 cm.
So, it new length is L' = 70 + 10 = 80 cm
The decrease in length of the other side after 2 min is -5cm/min × 2 min = -10 cm.
So, it new length is D' = 70 + (-10 cm) = 60 cm
So, the new hypotenuse length is y' = √(L'² + D'²)
= √(80² + 60²)
= √(6400 + 3600)
= √10000
= 100 cm
Now, the change in length of the hypotenuse side in 2 minutes is Δy = 100 cm - 98.99 cm = 1.01 cm
So, rate of change of the hypotenuse after 2 minutes is 1.01 cm/2 min = 0.505 cm/min
The rate of change of the hypotenuse after 2 minutes is 0.505 cm/min
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Can someone help with this please?
Answer:
900
Step-by-step explanation:
Might wanna double check. I rushed
(7m-2m^2n)^2
-42+144
900
Which street is perpendicular to 2nd Avenue and I also need to know what the slop would be of the new road be perpendicular to D street
Answer:
the answer is d street :)
4.) You paid $51 for four tickets to a play. What is the unit price?
O $12.75
$12.50
O $13.00
$12.00
Answer:
$12.75
Step-by-step explanation:
To find the unit price of something divide the cost by the amount of the Item
slope of a line perpendicular to the line whose equation is 6x+4y=−56, fully reduced
Answer: Answer
1.0/5
1
angelinagalindo127
Ambitious
40 answers
2.2K people helped
Answer:
First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.Step-by-step
Step-by-step explanation: |\ /|
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Which statement about the graphs of these two functions is true?
Answer:
Both graphs intersect the x-axis to the right of 0
5/8 divided by 3/5=????????????????????????????
Answer:
0.15
Step-by-step explanation:
Answer:
1 1/24
Step-by-step explanation:
Pls give brainly if right :) also not 11 its 1u 1/24
Solve 22 x 104 = ________. (1 point) A. 2,200,000 B. 220,000 C. 22,000 D. 2,200
[tex]22 \times {10}^{4} \\ = 22 \times 10 \times 10 \times 10 \times 10 \\ = 22 \times 10000 \\ = 220000[/tex]
Answer:B. 220,000
Hope it helps.
Do comment if you have any query.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9
Answer:
think its a
Step-by-step explanation:
the slope is 2/1 but both y int are different
[tex](3a^{3} -7b^{3} )^{2}=[/tex]
Answer:
Step-by-step explanation:
1.02 = _____ hundredths
Explain relative dating and its relationship to the Law of Superposition
Answer:
its b i took the test
Step-by-step explanation:
its b
The power, P(watts), of a car engine is proportional to the square of its speed, s(m/s).
When s=45 P=2200.
Work out the speed (to 1 DP) when the power is 1890 watts
The speed of the car is 41.7 m/s when the power is 1890 watts.
What is Proportion?Proportion is defined as an equation on which two or more ratios are made to be equal to each other.
It is given that the power, P is proportional to square of the Speed,s.
If P ∝ s², then P = k s², for some constant k.
When s = 45 m/s, P = 2200 watts
k = P / s² = 2200 / 45² = 1.086
∴ when P = 1890 watts,
1890 = 1.086 × s²
s² = 1740.331
s = 41.717 ≈ 41.7 m/s
Hence, if power is proportional to the square of the speed, then, the speed of the car engine is 41.7 m/s if the power is 1890 watts.
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299 divided by 21 step by step
what is 5 taken away from the product of 4 and a number.
Answer:
3
Step-by-step explanation:
Not sure, but let's take 32 to be the answer
4(5+x)=32
4×5= 20
4×x= 4x
20-4x=32
4x=32-20
4x=12
12÷4
x=3
Answer:
4n - 5
Step-by-step explanation:
let the number be n then the product of 4 and this number is 4n
Subtract 5 from 4n gives
4n - 5
If one ream of bond paper costs (3x -4) pesos. How many reams can you buy for ( 6x4 -17x3 +24x2- 34x + 24) pesos?
Answer:
1 ream = (3x - 4) pesos
Price of n reams = (6x^4-17x^3+24x^2 34x+24) pesos
Solution:(pic1)
number of reams 3x-4
By using synthetic division,
3x-4=0
3x=4
x=4/3
6 -17 24 -34 24 | 4/3
8-12 16-24
6 -9 12-18 0
Final equation is:(pic2)
Two numbers have a sum of 24 and a difference of 5. Use and algebraic method to find the two numbers.
Step-by-step explanation:
x, y are the 2 numbers
x + y = 24
x - y = 5
x = y + 5
and that in the first equation
y + 5 + y = 24
2y = 19
y = 9.5
x = y + 5 = 9.5 + 5 = 14.5
the 2 numbers are 9.5 and 14.5.
Someone help me pls!
You can buy 3 apples at Quick Mart for $1.17. You can buy five of the same apples at Shop & Save for $2.40
How much will you save per apple if you buy them at the cheaper store?
Answer:
$0.09 or 9 cents
Step-by-step explanation:
1.17/3=0.39
2.4/5=0.48
0.48-0.39=0.09
Answer:
Well you can divide them by each
1.17/3 which is 0.39 (quick mart)
2.4/5 Which is 0.48 (stop and save)
39 cent is what you pay at the cheaper store
9 cents is what you would save
-also you go to bay academy?
I haven’t seen Jupiter ed in so long hahah
Se tiene la siguiente proporción 2/5=8/x cual es el valor de x para que esta sea verdadera?
What’s the slope or fraction?
Use parallelogram ABCD. What are the values of x and
y?
A
4y-3
B
x=
y =
3x-9
42
D
37
С
Answer:
the value of x is a number but you can say 1 when you are factorising quadratic expression with the terms
Answer:
x=17
y=10
Step-by-step explanation:
What is y x y x y simplified
Answer:
y x y x y is simplified as y³
Step-by-step explanation:
Hoped this helped.
SOLVE 11 AND 10 FOR POINTS NO LINKS ABSOLUTELY ALSO FOR 11 10 Answers may vary, however the
PRODUCT of the factors must equal......
Answer:
10. (-1, 7), (-7, 1)
11. (8, 4), (16, 2)
Step-by-step explanation:
10.Let x and y represent the two missing factors. Then you have ...
-3xy = 21
xy = -7 . . . . . . . divide by -3
Integer divisors of -7 are ±1, ±7, so possible factor pairs are (-1, 7), (-7, 1) and their reverse.
Of course, the only requirement is that the values be rational, so we could have (-1/4, 28), for example. One of the above factors can be multiplied by any rational number, and the other multiplied by its inverse.
__
11.If the two factors of interest are x and y, then the product of the three factors is ...
(-3/4)xy = -24
xy = (-4/3)(-24) = 32
Integer divisors of 32 are 1, 2, 4, 8, 16, 32. So, any of those, positive or negative, could be one of the (integer) factors you're looking for. On the attached graph, we have shown (x, y) pairs ...
(8, 4), (16, 2), (-4, -8)
There are an infinite number of possibilities.
Help me please!
Mathematics
Answer:
x=12
Step-by-step explanation:
i'm assuming the numbers are the lengths of each segment. 8/24 = 1/3, so 4/x=1/3, cross multiply to get x=12
PLEASE HELP ME ASAP TYSM
The sale price is 85% of the regular price.
-If regular price is 100% and there is a 15% discount, The sale price will be 85% of reg. price.
100-15=85
Answers:
- Sale price: $25.50
-85%of 100%
-Discount: 15%
-$4.50
You can check by the following:
30-25.5=4.5
30-4.5=25.5
4.5+25.5=30
25.5+4.5=30
100-15=85
100-85=15
85+15=100
15+85=100
(Brainliest?) ^^
Use the properties of multiplication to solve.
(4 x 13) x 25
Find the quotient: 8,441 ÷ 21 = ________. (1 point)
400 r 12
400 r 20
401 r 12
401 r 20
Pls Help ASAP!!! Thank you!!
Answer:
401 r 20
Step-by-step explanation:
Which of these are prime numbers 5,6,9,13,18
Answer:
5 and 13
Step-by-step explanation:
Answer:
13
is the answer
Hope it help u
simpify 5 cubed to the power of 6
[tex]5 cubed to the power of 6[/tex]
[tex]\displaystyle (5^3)^6 = 5^{(3 \times 6)} = 5^{18}[/tex]
4 * 4 * 4 * 5 * 5
help please
Answer:
=1600
Step-by-step explanation:
=4*4*4*5*5
=16*4*25
=64*25
=1600
Hope this helps, have a nice day/night! :D
which problem solving strategy would be best to solve this problem?
To study for the spelling competition, Jose memorized 2 words from the list. The next day, Jose memorized 4 words from the list. The third day, Jose memorized 8 words from the list. If Jose continues, how many words will he memorize on the tenth day
A.look for a pattern
B.work backwards
C.write an equation
D.guess, check and revise
Answer:
The best solving strategy is D. Finding a pattern would be decent, but D clearly is an better answer,
Step-by-step explanation:
sami is making necklaces for a craft show. each necklace is 33.4 cenimeters long. if she has 233.8 centimeters of cord, how many necklaces can sami make
Answer:
Sami can make 7 necklaces.
233.8cm ÷ 33.4 = 7