Answer:
dα/dt = - 0,25 rad/sec
Step-by-step explanation:
The vertical wall, the ground from the vertical wall up to the ladder, and the ladder shape a right triangle. angle α will be the angle between the ladder and the ground, then:
cos α = distance between the wall and the down end of the ladder (x) / length of the ladder
cos α = x/ L
- sin α * dα/dt = dx/dt * L /L²
- sin α * dα/dt = dx/dt /L
When the down end of the ladder is 8 ft apart from the wall
cos α = 8 / 10 = 0,8 then cos² α + sin²α = 1
sin² α = 1 - cos²α sin²α = 1 - (0.8)² sin²α = 0.36
sin α = 0.6
dα/dt = ?
dx/ dt = 3/2
L = 10 ft
x = 8 ft
By substitution
- 0.6*dα / dt = (3/2) / 10
dα/dt = - 1.5 / 6
dα/dt = - 0,25 rad/sec
(-) means the angle is decreasing
Find the unit rate in the following scenarios, and explain how you solved.
1. In 6 days, the temperature dropped 18 degrees. How many degrees per day did the temperature drop?
no links<3
Answer:
3 degress per day
Step-by-step explanation:
18/6=3 sorry for the bad spelling
Find the slope of a line parallel to this given line: -10y + 3= -6x
Answer:
Y=3/5 x +3/10
Step-by-step explanation:
The terminal side of θ in standard position contains the point (–4, 3). Find the exact values of the six trigonometric functions of θ. (show all of your work) *
Answer:
When we have a rectangular point (x, y), the angle between the x-axis and a ray that connects the origin with this point is given by:
Tan(θ) = y/x.
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
So for the point (-4,3) we have:
x = -4
y = 3
√( (-4)^2 + 3^2) = √(16 + 9) = √25 = 5
Then:
Tan(θ) = 3/-4 = -(3/4)
Sin(θ) = 3/5
Cos(θ) = -4/5
And for the other 3 trigonometric functions (the inverses of the 3 above ones) we have:
Ctg(θ) = 1/Tan(θ) = -4/3
Csc(θ) = 1/Sin(θ) = 5/3
Sec(θ) = 1/Cos(θ) = -4/5
Calinda is painting the design on her bedroom wall. The large circle has a diameter of 32 inches. To the nearest square inch, how much paint swill she need for the shared reign on
Answer:
804 inches
Step-by-step explanation:
Amount of paint she would need is equal to the area of the circle
Area of a circle = πr²
π = 3.14
r = 32/2 = 16
The diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
3.14 x 16² = 804 in
What is linear equation???
Answer:
an equation between two variables that gives a straight line when plotted on a graph. In mathematics, a linear equation is an equation that may be put in the form {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}+b=0, } where x_{1}, \ldots, x_{n} are the variables, and {\displaystyle b, a_{1}, \ldots, a_{n}} are the coefficients, which are often real numbers.
Sylvie needs $110.75 for a concert ticket. She already has $16 and she can earn the rest by working 10.5 hours at her job. Write an equation that can be solved to find h, Sylvie′s hourly earnings.
Answer:
110.75 = 16 + 10.5h
Step-by-step explanation:
en las matematicas para que concepto se usan las letras?
Answer:
En matemáticas, las letras son utilizadas en las ecuaciones, para representar a través de ellas valores no conocidos que deben ser dilucidados por quien realiza la ecuación. Las letras más utilizadas con este propósito son las letras X e Y.
Así, por ejemplo, se da una suma con un valor numérico y un valor faltante denominado X, con un resultado también numérico, con lo cual el valor de X surgirá del resultado de la ecuación planteada. Por ejemplo:
8 + X = 10
X = 10 - 8
X = 2
8 + 2 = 10
A random variable X follows a Binomial distribution; i.E. X ~ B(12, p) with a variance of 1.92. Compute the possible values of p
==================================================
Explanation:
Any binomial distribution has two unique components to it: The number of trials n, and the probability of success p.
We're given n = 12, and we need to find p.
The variance of a binomial probability distribution is given by the formula n*p*(1-p). Plug in n = 12 and set this equal to 1.92
So the equation to solve is 12p*(1-p) = 1.92
Solve for p using a graphing calculator or you could apply the quadratic formula. Either way, you should get the two results of p = 0.2 and p = 0.8
Note that if p = 0.2, then 1-p = 1-0.2 = 0.8, and things flip around when p = 0.8.
Find the coefficient of x^4 in 3x^3-5x^4 + x-7
Answer:
-5
Step-by-step explanation:
the coefficient of x^4 is -5
can someone please tell me what angle x is
Answer:
it's an angle X duh he he he be
Anyone know how to do this
Answer:
c or a
Step-by-step explanation:
Answer:
A(-3,-1)-----A'(-1,2)
B(2,1)------B'(4,4)
here
x is increased by -1--3=2
and
y is increased by2--1= 3
so
A.(x',y')=(x+2,y+3)
please help im very very desperate
Answer:
Exponential
Step-by-step explanation:
If it were quadratic, y-axis would fall and rise in points, so its not quadratic.
If it were linear, it would have a pattern with a rise/over formula, and it doesn't go in a pattern, so the only answer left is: Exponential.
Answer:
Exponential
Hope this helps!
Ok so i have graphed these values and this is the graph i got which appears to be exponential:
what's your answer????/????????/////??
Answer:
Top right
Step-by-step explanation:
The two sides are parallel to each other. :)
A manager of a telemarketing firm is trying to increase his employees' productivity. The table shown indicates the number of months the employees have been working and the number of calls they successfully complete with customers per day.
a. Construct a scatter plot of the data.
b. Based on the shape of the scatter plot, is a linear regression appropriate? What type of correlation appears to be present?
c. W rite a function c(m) to represent the line of best fit. Then interpret the function in terms of the problem situation.
d. Compute and interpret the correlation coefficient.
e. Calculate the residuals for the data and create a residual plot of the data.
f. Based on the residual plot, is a linear model appropriate for the data? Explain your reasoning.
g. Should the manager use a linear regression equation to predict how many successful calls an employee will make if they have been employed for 36 months? Explain your reasoning.
i got it right cus im smart
The measurement of angle D is _____ degrees
Answer:
157
Step-by-step explanation:
plsss help with this question lolz
Answer:
for output: 4, 6, 8, 10
Input: (i think) 1,5,5,1
Step-by-step explanation:
Which of the following lines bets fits the data shown in the scatter plot?
what kind of triangle is shown
Answer:
right isosceles triangle.
Answer:
right scalene
Step-by-step explanation:
right angle - if one angle is 90 degree
scalene triangle- if all sides are of different lengths
5.5555 pounded to the nearest
hundredth
IS
Answer:
5.55000
Step-by-step explanation:
i think
Answer:
5.56
Number:
5.555
Nearest:
Hundredths (2 decimals)
Mode: Round
=5.56
A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours?
plz help
Answer:
133 windows in 7 hours
Step-by-step explanation:
38 divided by 2 and you get 19
19 x 7 = 133
Answer:
133 windows
Step-by-step explanation:
First, you would want to find how many windows he can clean in 1 hour.
You know that 38 windows = 2 hours.
To do this, divide both sides by 2 (to get 1 hour). You will get 19 windows = 1 hour.
Now to find 7 hours, multiply both sides of 19 windows = 1 hour by 7 (to get 7 hours). You will get 133 windows cleaned in 7 hours.
Find the perimeter of the composite shape. Round to the nearest hundredth.
Answer:
36 is ur perimeter
Step-by-step explanation:
Answer: 47.31
Step-by-step explanation: I just took the unit test
20 Alex and Chris share sweets in the ratio Alex : Chris = 7:3.
Alex receives 20 more sweets than Chris.
Work out the number of sweets Chris receives.
Answer:
Alex:Chris 35:15
Step-by-step explanation:
7-3 (ratios)= 4
20 sweets= 4:1
20÷4= 5
5×7= 35 (how many sweets Alex got)
5×3= 15 (how many sweets Chris got)
Alex got 20 more sweets than Chris
(sorry if you didn't understand how I explained it)
evalute the expertion (-5)(7)+4=
Answer:
(-5)(7)= -35
-35+4=-31
your answer is -31
need help please hurry !!!!
Answer:
answer: c
Hope that helps!
Rotate an isosceles right triangle around a line that contains the triangle's hypotenuse
Answer:
See attachment 2 for the rotation
Step-by-step explanation:
The question has a missing figure
See attachment 1 for the missing figure of the isosceles right-triangle
Required
Rotate around the hypotenuse
From the attachment, the hypotenuse is along the blue vertical line along the y-axis.
So, when the isosceles triangle is rotated around the hypotenuse, the result of the rotation we get a composite figure that has two congruent solids.
Which is a cone of radius and height equal to half of the hypotenuse
See attachment 2 for the rotation
Calculate the difference between the two times.
alarm clock number 1
8: 15 am. or pm
alarm clock number 2
3: 30 am or pm.
if u want to spam the answer then I will report u
Answer:
7 hours and 15 minutes
Step-by-step explanation:
8:15 to 3:15 is 7 hrs then just add the remaining 15 minutes to get to 3:30.
If one side of a regular pentagon is represented by 3x + 1 , what is the perimeter of the pentagon?
Answer:
5(3x+1) or 15x+5
Step-by-step explanation:
A regular pentagon has 5 sides of equal length. The perimeter is the sum of the lengths of those sides. We can use multiplication to find the sum of 5 of the same value:
P = 5(3x +1)
Perhaps you want it expanded. Using the distributive property, we multiply each term in parentheses by 5:
P = 15x + 5
An arrow is shot so that it hits the target above. Which of the following describes the method for calculating the
probability of hitting the red region?
A area of white circle / (area of blue circle - area of yellow circle)
B. (area of blue circle - area of yellow circle) / area of white circle
C area of white circle / (area of red circle - area of yellow circle)
D. (area of red circle - area of yellow circle) / area of white circle
Answer:It is c i think
Step-by-step explanation:
In what quadrant is the point (-7, -16)?
Help!!!!!
Answer:
Those points are in Quadrant 3
The following are the temperatures of 10 days in winter in °C. 5, 4, 4, -1, 4, 10, 9, 8, 6, 4 Work out the mean temperature.
Answer:
Answer is 5 °C.
Step-by-step explanation:
5 is answer
Answer:
The mean temperature is 5.3 degree Celsius
Step-by-step explanation:
5+4+4-1+4+10+9+8+6+4
= 53
So,
53/10
= 5.3
mark me brainliest plss :))