Complete question :
a ladder 5 meters long is leaning against a wall. the base of the ladder is sliding away from the wall at a rate of 1 meter per second. how fast is the top of the ladder sliding down the wall at the instant when the base is 4 meters from the wall?
Answer:
-4/3 m/s
Step-by-step explanation:
Using Pythagoras :
a² = x² + c²
5² = x² + y² - - - (1)
The horizontal distance x with respect to time t = 1m/sec
dx/dt = 1m/sec
To obtain the vertical height 'y' with respect to time t when x = 4
5² = x² + y²
Wen x = 4
5² = 4² + y²
25 = 16 + y²
y =√(25 - 16)
y = 3
Differentiate (1) with respect to t
x² + y² = 25 - ---- - (1)
2x * dx /dt + 2y dy/dt = 0
dx/dt = 1
x = 4.
y = 3
2(4)(1) + 2(3) * dy/dt = 0
8 + 6dy/dt = 0
6 dy/dt = - 8
dy/dt = - 8/6
dy/dt = - 4/3
The sum of two numbers is 12. Three times the smaller number increased by the larger number is 20 . Find the numbers .Write the solution
Answer:
In these types of algebra problems where we are given numbers that are "unknown" and asked to find them, it is a good idea to give them names.
Let the larger number be X.
Let the smaller number be Y.
If the larger number is three times the smaller number, we can use this information to write an equation, using our labels for the two unknown numbers. See how I translate this sentence into an equation:
The larger number is three times the smaller number.
X = 3 * Y
X = 3*Y
We've got one equation down. Since we have two variables, we're going to need two equations to solve for both of them.
The sum of two numbers is twenty-four.
X + Y = 24
X+Y = 24
But, from our previous equation, we know that X is the same as 3*Y. This allows us to substitute "X" with "3*Y" in our second equation since the two are equal according to the first equation.
(3*Y) + Y = 24.
3Y + Y = 24
4Y = 24
4Y / 4 = 24/4
Y = 6
Now we've got the value of the smaller number. Let's plug it into our first equation,
X = 3*Y.
X = 3*(6)
X = 18
We can check our work by plugging both values into both equations and seeing if they work out:
6+18 = 24
6*3 = 18
So our bigger number is 18, and our smaller number is 6.
Hope it helps!
Hi, I just need help with questions 4 and 6 thank you so much :)
Answer:
for number 4, i drew it in the picture
for number 6, 5 3/4 is closer
Step-by-step explanation:
give brainliest pls
two triangles are similar, and the ratio of the corresponding sides is 1:5, and which of the following is true?
a. Their corresponding sides are congruent.
b. Their corresponding angles are in a ratio of 1:5
c. Their areas have a ratio of 1:5.
d. their perimeters are in a ratio of 1:5
Answer:
c
Step-by-step explanation:
Answer:
d. their perimeters are in a ratio of 1:5
Explaination
A is untrue because the sides have the ratio of 1:5, explained in the quastion, so they are not equal/congruent.
B is untrue because the angles are the same in both triangles because the triangles are similar, mentioned in the question.
C is untrue because the ratio of area is squared to the ratio of the perimeter, so the actual areas would be 1:25.
Plz help me!! Worth 20 points
Answer:
440miles
Step-by-step explanation:
because for every hour the bus travels 55miles so if you do 55×8 you can get your answer
But I hope I answered the right on for you
x + 3.75 = 7. i need answers because im doing online school
Answer:
x=3.25
Step-by-step explanation:
x + 3.75 = 7
-3.75 -3.75
x = 3.25
Which expression represents the area of the garden in square feet?
Answer:
C. 42x² - 3x - 9
Step-by-step explanation:
Area:
(7x + 3) (6x - 3)
7x(6x - 3) + 3(6x - 3)
42x² - 21x + 18x - 9
42x² - 3x - 9
what is x-3=?
February
Answer: x= February+3
Step-by-step explanation:
NEED HELP WILL MARK THE BEST!!!!
Answer:
W = 23 degrees
Step-by-step explanation:
91 + 131 = 222
The sum of the polygon should equal 360 degrees. Therefore we subtract 360 - 222 = 138
Trial and error shows you that 2 x 23 = 46
46 + 46 + 46 + 222 = 360 degrees.
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME THIS IS SO CONFUSING AND I DON'T UNDERSTAND ANYTHING PLZZ HELP!PLZZZZZZZ ITS DUE IN 30 MINS
An expression is given.(first image)
Which are equivalent to the given expression? Select each correct answer. And Explain? (second image)
Answer:
D and E
Step-by-step explanation:
I found out D nad E has the same answer so ye
The function f(x) = x is translated using the rule (x, y) - (x - 6, y + 9) to create A(x).
Which expression describes the range of A(x)?
Oy2-9
Oy6
Oy26
O y29
It seems the correct function you need to mention is f(x) = sqrt x
so, I am assuming [tex]f(x) = \sqrt{x}[/tex] and will solve the question based on it.
Answer:
Check the explanation
Step-by-step explanation:
Given the function
[tex]f(x) = \sqrt{x}[/tex]
As the function is translated according to the rule
(x, y) → (x - 6, y + 9)Translation of the function [tex]f(x) = \sqrt{x}[/tex] 6 units to the left will bring the function
[tex]g(x) = \sqrt{x+6}[/tex]
Translation of the function [tex]g(x) = \sqrt{x+6}[/tex] 9 units up will bring the function
[tex]A\left(x\right)=\sqrt{x+6}+9[/tex]
Determining the range of [tex]A\left(x\right)=\sqrt{x+6}+9[/tex]
As we know that the range is the set of dependent values for which the function is defined.[tex]\mathrm{The\:range\:of\:an\:radical\:function\:of\:the\:form}\:c\sqrt{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]
[tex]k=9[/tex]
[tex]f\left(x\right)\ge \:9[/tex]
so
[tex]\mathrm{Range\:of\:}\sqrt{x+6}+9:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:9\:\\ \:\mathrm{Interval\:Notation:}&\:[9,\:\infty \:)\end{bmatrix}[/tex]
Therefore, the expression describes the range of A(x) will be:
[tex]f\left(x\right)\ge \:\:9\:or\:y\:\ge \:\:\:9[/tex]
Answer:
d on 3dge
Step-by-step explanation:
genius
Solve the following inequality for s. Write your answer in simplest form.
7s - 9 < 6s – 10
Answer:
2<-1
Step-by-step explanation:
7s-9<6s-10
-6s. -6s.
S-9<-10
+9. +9
S<-1
The thermometer says it’s 24°C. You convert this temperature to 100°F. Which sentence best describes your temperature estimate?
Answer:
multiply 100ajdirirrihtrirjrbrbdbd
Help!!! How do I do problems like these
Answer:
54.5 is what I got
Step-by-step explanation:
what is the answer to this? 4(w−6)≤−12
Step-by-step explanation:
[tex]4(w - 6) \leqslant - 12 \\ [/tex]
[tex]4w - 24 \leqslant - 12[/tex]
[tex]4w \leqslant - 12 + 24 \\ [/tex]
[tex]4w \leqslant 12[/tex]
The Dropdown boxes are Equal and Not Equal
if ABC = DEC, angle B = 2x, angle C = 48°, and angle D = 74°. x=?
Answer:
37°
Step-by-step explanation:
angle B = angle D (alternate angle)
2X = 74°
X = 37°
Answer:
29
Step-by-step explanation:
right in acellus
Can someone please help with this question?
The second floor of a tiny house has a living room in a bedroom. The floor plan shows a width of 8 ft in a total length of 24 ft.
Which expression represents the total area?
A) 8 • 24
B) 8 + 24
Answer:
Expression 8 • 24 represents the total area.
Option A is correct.
Step-by-step explanation:
Width of living room = 8 ft
Length of living room = 24 ft
We need to calculate area:
The formula used is: [tex]Area=Length \times Width[/tex]
Putting values to get the expression
[tex]Area = 8\times24[/tex]
So, Expression 8 • 24 represents the total area.
Option A is correct.
9.
Express 28% as a decimal
3/4 divided into 12, PLEASE HELP MEEE
Answer:
3/48
Step-by-step explanation:
Answer:
0.0625
Step-by-step explanation:
hope it helps, mar brainliest please
Which fraction is in simplest form? 3/9, 5/12, 6/14, 4/22
Answer:
5/12
Step-by-step explanation:
Please give me brainliest
SIMPLEST FORM
3/9 = 1/3——-not originally in simplest form
5/12=5/12——in simplest form
6/14=3/7——-not originally in simplest form
4/22=2/11——not originally in simplest form
Write an equation of the line that passes through the given point and is
perpendicular to the given line.
9. (-3,1); y -5x +2
10. (8-5); y = 2x + 3
Answer:
this looks kinda hard tho give me a sec
big ideas math 3.3 answers
Answer:
yes
Step-by-step explanation:
(～￣▽￣)～
Alan is building a fence around his fish pond. The fish pond is in the shape of a rectangle with a length of 60 feet and a width of 40 feet. It took alan 16 hours to complete the fencing. What is the unit rate at which alan put fence around his fish pond
Answer:
12.50 ft per hour
Step-by-step explanation:
Given that:
Fish pond has a rectangular shape.
Length of fish pond = 60 feet
Width of fish pond = 40 feet
Total time to complete the fencing = 16 hours
To find:
Unit rate of putting the fencing around the fish pond.
Solution:
First of all, we need to find the total fencing to be put around the fish pond.
Total fencing is nothing but the perimeter of the fish pond which is of rectangular shape.
Formula for perimeter of rectangular shape is given as:
[tex]Perimeter = 2\times (Length + Width)[/tex]
[tex]Perimeter = 2\times (60+40)\\\Rightarrow Perimeter = 200\ ft[/tex]
Unit rate is the perimeter divided by total time taken to put the fencing around.
Therefore,
Unit rate = [tex]\frac{200}{16} = \bold{12.5}[/tex] feet per hour
So, the answer is 12.5 feet per hour.
7.8 kilograms divided into 4
Answer:
1.95 kilograms
Step-by-step explanation:
7.8/4 = 1.95
Answer:
1 19/20 kg
Step-by-step explanation:
Divide 7.8/4 is 39/5 *1/4 which is 1 19/20
Hope this helps :D
Please mark brainliest if correct
Which equation can be used to find the solution of
(1/4)y+1 = 64
-y-1 = 3
y + 1 = 3
y-1 = 3
–y+1=3
Answer:
-y-1=3
Step-by-step explanation:
Answer:
-y-1=3
Step-by-step explanation:
took the test and got it correct
The probability that it will rain on 'Hari Merdeka' is 2/15.Find the probability that will be no rain on 'Hari Merdeka'.
The probability it will rain of Hari Merdeka is 2/15. Since you are finding the probability that will be no rain on Hari Merdeka, you also need to find the part of 15/15 that is not 2/15. You can do this by subtracting.
15/15-2/15=13/15.
The probability that will be no rain on Hari Merdeka is 13/15.
Someone please help will mark as brainliest
Answer:
Step-by-step explanation:
7: B
8: D
9: C
10: 1/2
3 2/3 feet per 11/20 hour ? also can it be in a fraction
Answer: 20
Step-by-step explanation:
Answer:
Step-by-step explanation:
3 1/2 = 7/2
7 4/5= 39/5
5 3/4= 23/4
4 1/3= 13/3
4 2/3= 14/3
5 1/5 = 26/5
8 2/3 = 26/3
2 3/5 = 13/5
hope this helps
Joe bought a box of laundry detergent that contains 195 scoops. Each load of laundry uses 2.5 scoops. How many loads of laundry can he do with this one box?
Answer:
78
Step-by-step explanation:
The answers 78
I have to keep typing