The Pythagora´s Theorem, tell us that in a right triangle, the square of the hypothenuse (L²) is equal to :
L² = x² + y²
x and y are the legs.
The solution is
dy/dt = 48.9 ft/s
We know that in a right triangle:
L² = x² + y² (1)
If the helicopter lifts off vertically, that means x ( the horizontal distance between the observing man and the helicopter, maintains constant).
According to that, if we get derivatives with respect to time on both sides of equation (1) we get:
2×L× dL/dt = 0 + 2×y×dy/dt (2)
And
L = √ ( 58)² + ( 113)² = √12769 + 3364 = 127.02 ft
L = 127.02 ft when y = 113 ft
Now in equation (2) we know:
y = 113 ft dy/dt = 55 ft/s L = 127.02 we look for dL/dt
Then by substitution
2×127.02 × dL/dt = 2×113×55
254.04× dL/dt = 12430
dL/dt = 48.92
dL/dt = 48.9 ft/s
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please help me!! 8th grade math, Pythagorean Theorem 19 pts!
Answer:
do 70 divded by two and that is 35. and then 15^2 (squared) + 35^2 (squared) and then whatever that equals but the square root around it and that is your answer.
Step-by-step explanation:
the difference between the exterior and the corresponding interior angle of the triangle is 81 °. determine those angles. (type all the steps for it)
The roots of the equation x² + 2x + 4 = 0 are
A) rational and equal
B) rational and unequal
C) imaginary and unequal
D) real, rational, and unequal
Answer:
Option C
Step-by-step explanation:
Given :-
A equation x² + 2x + 4 = 0 .And we need to find out the nature of the roots . The nature of the roots is determined by the Discriminant of the equation , and the Discriminant of a quadratic equation is ,
[tex]:\implies[/tex] Discriminant = b² - 4ac
[tex]:\implies[/tex] Discriminant = 2² - 4(1)(4)
[tex]:\implies[/tex] Discriminant = 4 -16
[tex]:\implies[/tex] Discriminant = (-12)
Now here the value of D is less than 0 .So the roots will be imaginary .
Hence the roots are imaginary and unequal.
Ashley plans to run a total of 24 miles this week. If Ashley has already run 25% of the total distance, how many more miles does she plan to run this week?
A. 6 miles
B. 20 miles
C. 4 miles
D. 18 miles
Answer:
D.18 millas
Step-by-step explanation:
dividimos el 24 en cuatro partes que terminaria en 6 restamos 6-24 = 18 millas que seria el 75%
Justin found that his text-messages contain 5 emoji for every 15 regular characters. How many emoji will Justin use if his text message contains 100 total characters ?
Answer:
Justin will use 300 emojis.
Step-by-step explanation:
15/5=3
So, 3 emoji for one regular character.
3*100= 300.
Answer:
33 emojis
Step-by-step explanation:
5 emojis = 15 characters
1 emoji = 15 ÷ 5 = 3 characters
100 ÷ 3 = 33.3
33.3 estimated to nearest whole number = 33
A flower shop sells two types of Iris flowers: versicolor and virginica. Often, people who buy the flowers want to know about the
petal length. The summary statistics are shown in the table.
Flower Petal Length (in mm)
Versicolor Virginica
Min
45
30
Q1
51
40
44
Median
Q3
55.5
59
47
Max
69
56
If customers want to buy the flower that has the greatest variety of petal length, which Iris should they buy?
O A. versicolor, because the minimum is greater
OB. versicolor, because the maximum is greater
OC versicolor, because the difference between the minimum and Q1 is greater
O D. virginica, because the range is greater
O E virginica, because the difference between Q3 and the maximum is greater
Hi
Answer:Hey I go to ohva the answer is c
Step-by-step explanation:I took the test
The option (C) versi-colour, because the difference between the minimum and Q1 is greater, is the correct choice.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have:
A flower shop sells two types of Iris flowers: first flower and second flower.
The data is shown in the picture.
As we know, the median is the mid-value.
The min value for the first flower = 45
The min value for the second flower = 30
Q1 value for first flower = 51
Q1 value for second flower = 40
Difference between min and Q1 for first flower = 6
Difference between min and Q1 for second flower = 10
6 < 10
Thus, the option (C) versi-color, because the difference between the minimum and Q1 is greater, is the correct choice.
Learn more about the median here:
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The measure of ZPQS is 180°. The measure of ZRQS is 30°.
R
30°
P
S
What is the measure of ZPQR?
A. 60°
B. 120°
C, 150°
D. 210°
Suppose your SAT score is 1180. You look up the average SAT scores for
students admitted to your preferred colleges and find the list of scores below.
Based on your SAT score of 1180, which average score below represents the
college that would be your best option?
Do you have the options for this?
can someone please help me with my math, im wasting alot of points and im getting either no answers, links, or ppl just wanting points. please help, ill give etrax points, but only if you help with ALL of them
Answer:
Sure what are the questions?
Step-by-step explanation:
Trusted helper Ace Carlos
Answer:
you didnt put any questions.
Step-by-step explanation:
Which of the following is a degenerate circle?
O A. x++y2 = -1
O B. x+y=2
O c. x² + y2 = 1
O D. (x – 4)+ (x - 2)2 = 0
HELP!!!! i’m really confused and it’s due today
Answer:
I think H because it is the only one going vertical
Step-by-step explanation:
who knows the answer to this ?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If you divide each answer choice and then you divide the equation then you would know that both D and the normal problem equals 3.5.
The graph of function f is shown. Function g is represented by the table. x -2 -1 0 1 2 g(x) -32 -16 -8 -4 -2 Which statement correctly compares the two functions on the interval [0, 2]? A. Function f is increasing, and function g is decreasing. B. Both functions are increasing, but function f is increasing faster. C. Both functions are increasing, but function g is increasing faster. D. Both functions are increasing at the same rate.
Answer:
Both functions are increasing, but function g is increasing faster
Step-by-step explanation:
Correct on a plato test. Have a great day!
Answer:
B. fashoooooooo
Step-by-step explanation:
Both functions are increasing, but function f is increasing faster.
What is 1/2 of 8 what is 1/3 of 12
Answer:
Half of 8 is 4 and one third of 12 is 4
Step-by-step explanation:
I hope I answered your question
Which expression will give the closest approximation to the square root of 156?
Answer:
C
Step-by-step explanation:
Took the assignment before
a runner ran 2/3 of 5 km race in 21 minutes how long does it take to run the entire race
Answer:
31.5 min
Step-by-step explanation:
you divide 21 in hald to get 10.5 which is 1/3 to multiply by 3 for a whole race getting 31.5
The price of a train season ticket increased by 4%.
The price of the ticket increased by £ 152.20
Work out the price of the train ticket before the increase.
The original price of the train ticket will be £3805.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
The price of a train season ticket increased by 4%.The price of the ticket increased by £152.20The original price will be calculated as:-
4 % = 152.20
1 % = 152.20 / 4
1 % = 38.05
So 100 percent will be calculated by multiplying by 100 on both sides.
100 % = 38.05 x 100
100% = 3805
Therefore the original price of the train ticket will be £3805.
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PLEASE HELP ILL GIVE MORE IF ITS RIGHTTTTT
Need help asap show your work
To find the volume we use an equation:
volume = length x width x height
Since this shape is a cube, you only need to know one side to find the volume since all of the sides are equal.
So all you need to find the volume is to multiply 4(1/2) which I am going to simplify to 4.5, is plug it into the equation.
volume = 4.5 x 4.5 x 4.5
Which will get you an answer of 91.125 inches cubed
[tex]91.125in^{3}[/tex]
Hope this helps :)
A part is being machined. The starting thickness
of the part is 6.18 inches. Three cuts are
taken. Each cut is three-tenths of an inch.how many were removed ?
What is the midpoint of the segment shown below?
Answer:
option c is the correct answer
Lions and cheetahs prey on wildebeests that graze in the grasslands of the African savanna. What likely effect would increased rainfall over
several rainy seasons have on the populations of wildebeests, lions, and cheetahs?
Fjcjcjcjvjvjvnv. Vmvjcjcjvjvjfjfkfkfjfjfjjfjfjfn
Answer:
..
........................
Answer:
Step-by-step explanation:
All three populations would increase. The wildebeest population would decrease, and the lion and cheetah populations would increase.
A chemist has three different acid solutions. The first acid solution contains 20 % acid, the second contains 40 % and the third contains 70 % . They want to use all three solutions to obtain a mixture of 56 liters containing 50 % acid, using 2 times as much of the 70 % solution as the 40 % solution. How many liters of each solution should be used?
Answer:
The volume of the first acid solution (containing 20% acid) in the mixture is 14 liters
The volume of the second acid solution (containing 40% acid) in the mixture is 14 liters
The volume of the third acid solution (containing 70% acid) in the mixture is 28 liters
Step-by-step explanation:
The percentage of acid in the first acid solution = 20%
The percentage of acid in the second acid solution = 40%
The percentage of acid in the third acid solution = 70%
The volume they want to use the three solutions to obtain a mixture of = 56 liters
The concentration of the mixture they want to obtain = 50%
The amount of the 70% solution to be used = 2 × The volume of the 40% solution to be included
Let 'x', 'y', and 'z', represent the volumes of the first second and third acid solutions in the mixture
Therefore, from the question parameters, we get;
x + y + z = 56...(1)
z = 2·y...(2)
0.2·x + 0.4·y + 0.7·z = 0.5 × 56...(3)
Multiplying equation (3) by 10 and then subtracting equation (1) multiplied by 2 from the result gives;
10 × (0.2·x + 0.4·y + 0.7·z = 0.5 × 56) = 2·x + 4·y + 7·z = 5 × 56 = 280
2·x - 2·x + 4·y - 2·y + 7·z - 2·y = 280 - 2 × 56 = 168
2·y + 5·z = 168
From equation (2) and (4), we get;
2·y + 5·z = 2·y + 5×(2·y) = 168
12·y = 168
y = 168/12 = 14
The volume of the second acid solution in the mixture, y = 14 liters
From equation (2), we have;
z = 2·y
∴ z = 2 × 14 = 28
The volume of the third acid solution in the mixture, z = 28 liters
From equation (1), we get;
x + y + z = 56
x = 56 - (y + z)
∴ x = 56 - (14 + 28) = 14
The volume of the first acid solution in the mixture, x = 14 liters.
find the slope and y intercept form equation from the table
Answer:
y=x+5 or y=1x+5
Step-by-step explanation:
i hope this helps :)
The circumference of a circle is 7π m. What is the area, in square meters? Express your answer in terms of \piπ.
Answer:
A ≈ 3.9
Step-by-step explanation:
How to solve
Using the formulasA=πr2
C=2πr
Solving for AA=C2
4π=72
4·π ≈ 3.8993
Therefore, the circle in square meters in the nearest tenths is A ≈ 3.9
f(x)=4x^2-9x-13 young quadratic formula!
Answer:
x=13/4 or -1
Step-by-step explanation:
factorize the fraction
(4x^2+4x)(-13x-13)
4x(x+1) -13(x+1)
(4x-13)(x+1)
x=13/4 or x=1
I guess
(-6,4) (4,-6) simplified into radical form
Answer:
radical of 6 and radical of 2, radical of 2
Step-by-step explanation:
what would this be please?
Answer:
I know the drawing is not cool :), But it is right
Step-by-step explanation:
I hope that is useful for you :)
find the perimeter and area of the shape based on the information provided
Answer:
If you were to attach the shape, I could help.
Please answer this for 15 points!!! Stuck on this forever
The model shows a rectangular prism made up of cubes with an edge length of 1/2meter.
Part A
Kate finds the volume of the prism by counting the unit cubes. She counts the number of cubes in the bottom layer. She says since there are 3 layers, there are 144 unit cubes, and the volume of the prism is 144 cubic meters. Is Kate correct?
Fill in the blanks to explain your answer.
The bottom layer has _______ unit cubes. The prism is made up of a total of _______unit cubes. The volume of a single unit cube is________cubic meter, so the volume of the prism is_______cubic meters. Kate________correct.
Answer:
no
Step-by-step explanation:
no