Answer:
d∅/dt = √2/5 Rad/sec
Step-by-step explanation:
According to the Question,
Given That, a 10-foot ladder rests against a vertical wall if the bottom of the ladder slides away from the wall at a speed of 2 ft/s how fast is the angle between the top of the ladder and the wall changing when that angle is π/4.Solution,
Let x be the Distance between the base of the wall and the bottom of the ladder.
and let ∅ be the angle between the top of the ladder and the wall.
Then, Sin∅ =x/10 so, x=sin∅ *10
Differentiating with respect to time t we get,
dx/dt = 10 * cos∅ * d∅ /dt
We have given that dx/dt = 2 ft/s and ∅ =π/4Now, Put these value we get
2 = 10 *(cos(π/4))* d∅/dt
2 = 10/√2 * d∅/dt
d∅/dt = √2/5 Rad/sec
Will Mark brainlest help please please please
Answer:
1
Step-by-step explanation:
so, the function is defined as coordinate pairs.
the first coordinate is x (and is the input variable), the second is y (the function result).
a function result is sometimes also called image, as some input information is converted into something else that can then be used, seen, stored, ...
so, the function result = y = 2 and is the result of x²+1.
2 = x² + 1
1 = x²
x = 1
so, 1 is the "pre-image" of 2 for this function. as 2 is the image of 1 under this function.
Is the following number rational or irrational?
0.7
Choose 1 answer:
Rational
Irrational
What’s the sum in the diagram, a + b + c =
Answer:
Answer is 360 degrees
Step-by-step explanation:
The sum of the exterior angles of a triangle is 360°.
Answer: 360 degrees
Step-by-step explanation:
You know that in a triangle is 180 degrees. In the diagram, the figure shows a, b, and c, outside of the triangle. Also, the a, b, and c makes a circle. The circle is 360 degrees, so when you add a, b, and c that will equal 360.
môt lâm trường lập kế hoạch trồng 1 số ha rừng, theo đó mỗi tuần lâm trường phải trồng 15ha. Trên thực tế nhờ cải tiến kĩ tuật, lâm trường đã trồng được 20ha mỗi tuần. Do đó, lâm trường khong những đã hoàn thành kế hoạch trước thời hạn 1 tuần mà còn trồng thêm được 5ha rừng. Hỏi theo kế hoạch, lâm trường phải trồng bao nhiêu ha rừng?
Step-by-step explanation:
mình nghĩ là như vầy. Chúc bạn học tôt :))))
A grain of salt is an example of which geometric figure?
Answer: point
Step-by-step explanation:
Arrange in descending order 14/13,25/26,8/3
Which polynomial is prime?
Answer:
4x^(3)+2x^(2)+6x+3
Step-by-step explanation:
A polynomial is a combination of terms separated by + or − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms. Polynomial
Can someone answer any of these with working out?
Answer:
sorry I don't know
sorry I Don't know
If F is the function defined by F(x)=3x−1, find the solution set for F(x)=2.
A. {13}
B. {8}
C. {5}
D. {1}
Answer:
D. {1}
Step-by-step explanation:
F(x)=3x−1
Let F(x) =2
2 = 3x-1
Add 1 to each side
2+1 = 3x-1+1
3 =3x
Divide by 3
3/3 = 3x/3
1 =x
A survey of 700 people revealed 45% were planning to vote for a political party at the upcoming election. How many people is this?
Answer 315 people.
Step-by-step explanation:
Answer:
315
Step-by-step explanation:
45% is part of the 700 people who vote for a political party at the upcoming election.
Step 1. Use [tex]\frac{part}{whole} =\frac{part}{whole}[/tex] where 45% is part of the 700 people
Answer: [tex]\frac{45}{100} =\frac{?}{700}[/tex]
Step 2. Divide 45 by 100
Answer: 0.45
Step 3. Multiply it by 700
Answer: 315
so 315 people were planning to vote for a political party
Correct answer gets 5 star
Answer:
A. The function is Nonlinear.
Write the equation of the function
Find cos A and cot B exactly if a = 15 and b = 11.
Answer:
D. 15/√346
Hope this helps! Have a nice day :)!
PLEASE HELPPP
Which statement correctly compares the reading speed of Danika and Kevin?
A. Each hour, Kevin reads 10 fewer pages than Danika.
B. Each hour, Kevin reads 10 pages more than Danika.
C. Each hour, Kevin reads 5 fewer pages than Danika.
D. Each hour, Kevin reads 5 pages more than Danika.
Answer:
No.B is correct statement
Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?
Answer:
Step-by-step explanation:
I think you mean 35 seconds because if it was 36 then the answer would be too long so assuming it is 35 seconds the answer is 1 minute or 60 seconds
Find the indicated side of the
triangle.
30°
a = [?]
help please quick
Answer:
SOH-CAH-TOA
TAN(30) = 3/x
[tex]x=3\sqrt{3}[/tex]
Step-by-step explanation:
Answer:
underoot 27....or 5.3(approx )or 3_/3
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
how many 5 cents can u get from $1.25?
Answer:
25
Step-by-step explanation:
5 cents = 0.05
1.25 / 0.05 = 25
let me know if i'm wrong
Answer:
25
Step-by-step explanation:
$1.25=125cents
125/5 = 25
summer school is over, and I'm feeling self-destructive. Take all of my points and have a good night. 1/3
Answer:
Thanks for the points... dude.....
PLS HELP MY PARENTS R GOING TO HIT ME
Answer:
There are 104 nickels and 33 quarters
Step-by-step explanation:
Start of with the equation N = 3Q + 5. q is the amt of quarters n is the nickels. Then substitute Q with 33 since that is the amount of quarters and solve the equation for the amount of nickels that there are.
Anyone ?? Know the answers to these both? Due tmr morning
Answer:
Just use m a t h w a y for the answer
Step-by-step explanation:
Thank me later,or dont thank me at all
Help memememememe please
Answer:
good evening good evening good evening good evening
Step-by-step explanation:
w
Answer:
∠b = 54°
they add up to 180
7x + 14 + 5x - 26 = 180
12x = 192
x=16
thus ∠b = 54°
Step-by-step explanation:
Helppppp pleaseeee anyoneeeee
PLEASE SOMEONE HELP ME WITH #2
Can someone please help me with Q2?
Answer:
To find the point of intersection, you have to set both equations equal to each other and solve. After solving, plug it back into one of the equations. (Its pretty simple so don't worry :] )
y1 = 2x + 4
y2 = 3x-9
y1 = y2
2x + 4 = 3x - 9
4 = x - 9
x = 13
--> Plug x back into an equation for y coordinate. I will be using y1.
2(13) + 4
26 + 4 = 30
y = 30
The point of intersection is (13,30)
Calculate the correlation coefficient, r, for the data below. Row chart ( (x )(y ) ) row chart ( ( -10 )( 2 ) ) row chart ( ( -8 )( -3 ) ) row chart ( ( -1 )( -15 ) ) row chart ( ( -4 )( -10 ) ) row chart ( ( -6 )( -6 ) ) row chart ( ( -7 )( -5 ) ) row chart ( ( -5 )( -8 ) ) row chart ( ( -3 )( -13 ) ) row chart ( ( -2 )( -14 ) ) row chart ( ( -9 )( -1 ) )
Answer:
The correlation coefficient is approximately -0.9949
Step-by-step explanation:
The given data is presented as follows;
[tex]\begin{array}{lcl}x&&y\\-10&&2\\-8&&-3\\-1&&-15\\-4&&-10\\-6&&-6\\-7&&-5\\-5&&-8\\-3&&-13\\-2&&-14\\-9&&-1\end{array}[/tex]
The correlation coefficient, r is given as follows;
[tex]r = \dfrac{\sum(x_i - \overline x) \cdot (y_i - \overline y)}{\sqrt{\sum (x_i- \overline x)^2\times \sum (y_i- \overline y)^2 } }[/tex]
From MS Excel, we have;
∑([tex]x_i - \overline x[/tex])·([tex]y_i - \overline y[/tex]) = -155.5
∑([tex]x_i - \overline x[/tex])² = 82.5
∑([tex]y_i - \overline y[/tex])² = 296.1
Therefore, r = -155.5/(√(82.5 × 296.1)) ≈ -0.9949
The correlation coefficient, r ≈ -0.9949
And these questions
Answer:
17) 250 km²
18) never
19) sometimes
20) 288 in³
Step-by-step explanation:
17)
this polygon can be seen as the combination of two shapes : a 16×13 rectangle on top, and a right-angled triangle at the bottom.
this triangle has the side lengths
15 km
(16 - 10) = 6 km
(27 - 13) = 14 km
the total area is the area of the rectangle plus the area of the triangle.
the area of the rectangle (length×width)
Ar = 16×13 = 208 km²
the area of the triangle (baseline×height/2)
since it is a right-angled triangle, we use one side of the 90 degree angle as baseline and the other as height
At = 6×14/2 = 3×14 = 42 km²
so the total area of the polygon
Ap = Ar + At = 208 + 42 = 250 km²
18) the first quadrant is the area between the right (positive) side of the x axis and the upper (positive) part of the y axis. all points here have always and only positive x and y values. never any negative ones.
19) when a point is on the x-axis, well, left of point 0 on the x -axis are only negative values of x. and right of point 0 of the x-axis are only positive values of x. so, for some of these points the x value is positive, and for some it is negative. therefore "sometimes".
20) the volume of a box is length×width×height.
V = 8×3×12 = 24×12 = 288 in³
The quotient of five less than a number and six, is -4
Answer:
(a-5) / 6 = -4
or
-19
Step-by-step explanation:
(a-5) / 6 = -4
multiply by 6
a - 5 = -24
+5 +5
a = -19
Someone help me out please
Answer:
142.5
Step-by-step explanation:
π×11²×135/360
= 363π/8
= 142.5 (rounded to the nearest tenth)
Answered by GAUTHMATH
Use the distributive property to write the expression without parentheses.
6(3a-2)
Answer:
18a - 12
Step-by-step explanation:
6(3a-2)
6*3a - 6*2
18a - 12
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]18a - 12[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying...}}\\\\6(3a-2)\\-----------------\\\rightarrow \text{Distribute the '6' into '3a' and '-2'.}\\\\\rightarrow 6 * 3a = 18a\\\\\rightarrow 6 * -2 = -12\\\\\\\text{Therefore:}\\\\6(3a-2)\rightarrow \boxed{18a - 12}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
find the difference 25 - (-3) =
Answer:
28
Step-by-step explanation:
Subtracting a negative is like adding
25 - -3
25+3
28
Answer:
28
Step-by-step explanation: Not sure about this, but technically the question is written wrong. The "difference" is a form of subtraction, and if you simplify your question you get a question to do with addition.
25-(-3)
= 25+3 (since negative and negative makes positive)
=28
PS Again, not sure about this question.
