Help me please ASAP!!!!
Answer:
i need this too
Step-by-step explanation:
Answer:
no thanks asap!!!
Step-by-step explanation:
A right triangle has legs of 18 inches and 24 inches whose sides are
changing. The short leg is increasing by 4 in/sec and the long leg is
shrinking at 9 in/sec. What is the rate of change of the hypotenuse?
Given:
A right triangle has legs of 18 inches and 24 inches.
The short leg is increasing by 4 in/sec and the long leg is shrinking at 9 in/sec.
To find:
The rate of change of the hypotenuse.
Solution:
Let x be the shorter leg (Base), y be the larger leg (Perpendicular) and z be the hypotenuse.
We have,
[tex]\dfrac{dx}{dt}=4\text{ in/sec}[/tex]
[tex]\dfrac{dy}{dt}=-9\text{ in/sec}[/tex]
[tex]x=18[/tex]
[tex]y=24[/tex]
According to the Pythagoras theorem,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
[tex]z^2=x^2+y^2[/tex] ...(i)
[tex]z^2=(18)^2+(24)^2[/tex]
[tex]z^2=324+576[/tex]
[tex]z^2=900[/tex]
Taking square root on both sides.
[tex]z=\pm \sqrt{900}[/tex]
Side cannot be negative. So,
[tex]z=30[/tex]
Differentiating (i) with respect to time t, we get
[tex]\dfrac{d}{dt}z^2=\dfrac{d}{dt}(x^2+y^2)[/tex]
[tex]2z\dfrac{dz}{dt}=2x\dfrac{dx}{dt}+2y\dfrac{dy}{dt}[/tex]
[tex]2(30)\dfrac{dz}{dt}=2(18)(4)+2(24)(-9)[/tex]
[tex]60\dfrac{dz}{dt}=144-432[/tex]
[tex]60\dfrac{dz}{dt}=-288[/tex]
Divide both sides by 60.
[tex]\dfrac{dz}{dt}=\dfrac{-288}{60}[/tex]
[tex]\dfrac{dz}{dt}=-4.8[/tex]
Here, negative sign means hypotenuse is decreasing.
Therefore, the hypotenuse is shrinking at 4.8 in/sec.
pls help me, i’ve been stuck on this question for a while
Write 201 in standard form
The following examples illustrate the inverse property of multiplication. Study the examples, then choose the statement that best describes the property.
1/5 • 5 = 1
√2 ( 1/√2 ) = 1
Inverse property of multiplication: For all real numbers except
? , a • = 1.
Answer:
Zero!!
Zero can't be divided and when multiplied, will result 0.
Answer:
answer in picture
Step-by-step explanation:
Jeremy went school supply shopping and bought a calculator, pencils, markers, and notebooks for $17.50.
His mom had a coupon for 20% off their entire purchase. How much money did Jeremy spend on school supplies?
Answer:
$14
Step-by-step explanation:
x/17.5=20/100, do the butterfly method
17.5x20=350
350/100= 3.5
17.5-3.5=14
Answer:14.00
Step-by-step explanation:
17.50*80/100 = 14.00
WHICH TABLE DOES NOT REPRESENT A FUNCTION ANSWER ASAP !!!
Answer:
D
Step-by-step explanation:
A 6 ft tall petrified stump standing next to a car casts a 12 ft shadow. If the car casts a shadow that is 6 ft long, then how tall is it?
Answer:
3 feet tall
Step-by-step explanation:
G'morning everyone! If anyone needs help with math-related questions (unless it's Geometry), you can ask me, and I will do my best to help!
Answer:
ok thanks. your nice to help
How many solutions does the system have?
x + y = 5
x + y = 6
- none
- one
- two
- infinite
Answer: no solution
Step-by-step explanation:
Answer:
no solutions
Step-by-step explanation:
In order for the system to have solutions, x and y must work for both equations.
The easiest way to solve this is the isolate the y variable on both equations and then solve for x:
1. x+y=5
y=5-x
2. x+y=6
y=6-x
Since the y variables for both equations should be the same, let us make a new equation:
6-x=5-x
6=5
Hmm... This doesn't seem to work! 6 does not equal to 5. Therefore, there are no solutions.
I hope this helps! Please let me know if you have any further questions :)
(GIVING BRAINLIEST!! Pls help answer the problem and not just the equation!)
Answer:
1/8
1/2 divided by 4 = 1/8
Step-by-step explanation:
1) The equation y = 3.5x represents the relationship between 2, the number of pounds of fruit,
and y, the price.
• Which ordered pairs represent an amount of fruit and the corresponding
price in the given equation? Choose ALL that apply.
(4, 14)
(6,9.5) (8,28)
(9.5,6)
(14,4)
(28,8)
Answer:
(4,14)
Step-by-step explanation:
plug in ordered pairs for the given equation and see which one works. ordered pairs are simply (x,y) and the equation just so happens to have x and y variables. when x in the equation equals 4 then 3.5*4 is equal to 14 which is the y value of the first ordered pair. try it with the others and they don't work. is x equaled 28 then 3.5*28 is 98 and that paired y is only 8 so no. do it with all ordered pairs if you must. it's an elimination game
The ordered pairs (4, 14), and (3, 28) satisfy the equation y = 3.5x.
What is an ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
Pair in Order = (x,y)
x is the abscissa, the distance measure of a point from the primary axis x
y is the ordinate, the distance measure of a point from the secondary axis y
The given equation for the pounds of fruits 'x' and the total cost 'y' is,
y = 3.5x.
Now, The ordered pairs that satisfy the equation can be obtained by putting the value of 'x' and checking the corresponding 'y' value.
(4, 14).
y = 3.5×4.
y = 14. (satisfies).
Similarly,
(3, 28), also satisfies the equation y = 3.5x.
learn more about equations here :
https://brainly.com/question/10413253
#SPJ2
7. In each case, write an equation that models the situation described. a) An antique is purchased for $5000 in 1990. It appreciates in value by 3.25% each year b) A town had 2500 residents
in 1990. It grew at a rate of 0.5% per year for years. single bacterium of a particular type takes one day to double. The population is P after days.
Help pleaseeeeee!!!!!!!
Can someone please help me solve :)
Answer:
Length: 16m
Width: 12m
Area: 192 square meters
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
Length-16m
Width-12m
Area-192m
Step-by-step explanation:
Formula- 3cm=4m
12/3=4
4x4=16
Length-16m
9/3=3
3x4=12
Width-12m
16m x 12m = 192m
Last year, Karen spent 1.3 months in London, 3.2 months in Prague, and 2.6 months in Ankara. How many months did she spend abroad in total?
Answer:
she spent approximately 7.3 months abroad in total
Step-by-step explanation:
1.3+3.2+2.6= 7.3
Question 3 cdhcjenfheucjndjdnd
Answer:
Slope 3, y-intercept is 1
Step-by-step explanation:
As x increases by 3, y increases by 9. Rate of change is y/x, therefore the slope is 9/3 which equals 3. If the slope is 3, to find y, simply subtract 9 from 10. 10-9 = 1.
Answer:
y=3x+1
Step-by-step explanation:
slope is 3
intercept is 1
The difference between (-7)2and -(7)2is
What describes the slope of this line
Answer:
Undefined
Step-by-step explanation:
I need help solving 16 and 17
Please explain reasoning!
Answer:
16. Square
17. Rectangle
Step-by-step explanation:
16. All of the sides are equal and all of the angles are equal at 90° each
17. The longer sides are equal to each other and the shorter sides are equal to each other. The angles are all equal and and are all equal at 90° each.
Hope this helps!
Scott is a swimmer at his school. He swims 32 laps to complete a mile, and it takes him 20 seconds to swim half a lap. How long does it take Scott to swim one mile?
600 seconds
640 seconds
1.200 seconds
1.250 seconds
When talking about a linear relationship slope and the rate of change is the really same thing -TRUE OR FALSE
Austin exercises more than 35 minutes per day. Use t to represent Austin's amount of exercise (in minutes per day).
Answer:
The number of minutes Austin exercises is t > 35 minutes/day
Step-by-step explanation:
The number of minutes Austin exercises each day can be expresses as an inequality, which defines a region of feasible values within a range of values.
The number of minutes Austin exercises each day > 35 minutes
Let t represent the number of minutes Austin exercises, we can write;
The number of minutes Austin exercises is t > 35 minutes/day
Answer:
t > 35
Step-by-step explanation:
Do waves move matter as they travel?
Answer:
No.
Step-by-step explanation:
Waves are energy moving through the matter, but they leave the matter in the same place as they pass through.
i need to know the answer
Step-by-step explanation:
x and y
because its a symbol where they are unknown and unknown numbers in Algebra are so-called variables
I hope this answered your question
In this option, the answer will be option A
X and Y
Which equation is represented by the table?
Answer:
D. 3x - 1
Step-by-step explanation:
y = mx + b
We see the point (0, -1), so b = -1
y = mx - 1
We can find the slope using 2 points such as (0, -1) and (1, 2).
m = (2 - (-1))/(1 - 0) = 3
y = 3x - 1
Answer: D. 3x - 1
An ice cream factory makes 220 quarts of ice cream in 5 hours. How many
quarts could be made in 48 hours? What was that rate per day?
Answer:
2112 quarts in 48 hr
1056 quarts made per day
Step-by-step explanation:
to find out how many quarts in one hour divide 220 by 5
220÷5=44
then multiply by 24 to know how much quarts made per day
44×24=1056
then multiply by two to know how many quarts in 48 hours
1056×2=2112
A glider flies 13 miles north from the airport and then 24 miles diagonally southeast. Approximately how far west does the glider have to fly to return to the airport?
Answer:
20.2 miles
Step-by-step explanation:
This can be described by the three sides of a right angled triangle. Let the distance of the glider to the airport be represented by x, applying the Pythagoras theorem:
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/24/^{2}[/tex] = [tex]/x/^{2}[/tex] + [tex]/13/^{2}[/tex]
576 = [tex]x^{2}[/tex] + 169
[tex]x^{2}[/tex] = 576 - 169
= 407
x = [tex]\sqrt{407}[/tex]
= 20.1742
x = 20.2 miles
The glider has to fly 20.2 miles to return to the airport.
Pls help will give brianlest
Answer: 750 cm^2
Step-by-step explanation:
I will give you thanks and :)
Please help
Answer:
Scale factor = 2, x = 3 cm
Step-by-step explanation:
The scale factor is 2 because you can see that in the second figure you multiply the sides from the first one by 2.
Using the scale factor 2, you can multiply 1.5 * 2 = 3 for x.
if the diameter of the concentric circles as shown in the given figure are in the ratio 1:2:3 then find the ratio of the areas of three regions
Answer:
1 : 4 : 9
Step-by-step explanation:
Given the ratio of diameters = a : b , then
ratio of areas = a² : b²
Here ratio of diameters = 1 : 2 : 3 , so
ratio of areas = 1² : 2² : 3² = 1 : 4 : 9
