Answer:
65
Step-by-step explanation:
A ladder 18 ft long rests against a vertical wall. Let θ be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to θ when θ = π 3 ?
Answer: [tex]9\ ft/rad[/tex]
Step-by-step explanation:
Given
Length of the ladder is [tex]l=18\ ft[/tex]
Angle between the wall and the ladder is [tex]\theta[/tex]
from the figure, we can write
[tex]\Rightarrow \sin \theta=\dfrac{x}{18}\\\\\Rightarrow x=18\sin \theta[/tex]
Differentiate the above equation w.r.t [tex]\theta[/tex]
[tex]\Rightarrow \dfrac{dx}{d\theta}=18\cos \theta\\\\\text{at }\theta=\dfrac{\pi }{3}\\\\\Rightarrow \dfrac{dx}{d\theta}=18\cos(\dfrac{\pi}{3})\\\\\Rightarrow \dfrac{dx}{d\theta}=18\times 0.5\\\\\Rightarrow \dfrac{dx}{d\theta}=9\ ft/rad[/tex]
Three boards are placed end to end to make a walkway. The first board is 4 feet 5 inches long, the second board is 6 feet 9 inches long,and the third board is 3 feet 11 inches long. How long is the walkway?
Answer:
15 feet and 1 inch long
Step-by-step explanation:
add up the feet: 4+6+3= 13 feet
add up the inches: 5+9+11 = 25 inches
25/12= 2 feet 1 inch
13 feet + 2 feet + 1 inch= 15 feet 1 inch
Plz send the Venn diagram of this...
Answer:
Step-by-step explanation:
sorry im not sure
Factorize (2ax-2ay-3by+3bx)
Answer:
That's the answer I searched for and I hope it can help.
#Carryonlearning
Please make me brainliest!
Evaluate the function.
f(x) = -x2 + 6x + 4
Find f(-7)
PLSS HELP TODAY IS THE LAST DAY
Answer:
-87
Step-by-step explanation:
-(-7^2) + 6(-7) + 4
-49 -42 + 4
-87
Answer:
f(-7) = -3
Step-by-step explanation:
The exponentiation x^2 must be done before multiplication by the coefficient -1.
Substituting -7 for x, we get:
-(-7)^2 + 6(-7) + 4 = f(-7)
Then f(-7) = -49 + 42 + 4, or
f(-7) = -3
LCM of the given set of counting numbers 45,20,10
To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units.
Determine which statements about the relationship are true. Choose two options.
g is the dependent variable.
u is the dependent variable.
g is the independent variable.
u is the independent variable.
The two variables cannot be labeled as independent or dependent without a table of values.
Answer: u is the dependent variable
g is the independent variable
Step-by-step explanation:
Based on the relationship, represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units, then :
u is the dependent variableg is the independent variableWhat are the independent variables and dependent variable?An independent variable serves as the variable that one can manipulate then control, an experimental so one can actually record the effects.
Independent variable on the other hand serves as the cause which have an independent values compare to others.
Learn more about variable at:https://brainly.com/question/3764906
#SPJ9
On a piece of paper, graph f(x)=16x0.5^x. Then determine which answer choice matches the graph you drew.
9514 1404 393
Answer:
A
Step-by-step explanation:
You can use x=0 and x=1 to find points that must be on the graph.
f(0) = 16·0.5^0 = 16
f(1) = 16·0.5^1 = 8
Only graph A matches these points.
play help me on this
Answer:
VTU T UTV all work
Give me brainiest answer please it helps a lot! :D
Step-by-step explanation:
Answer:
The answer is A <VTU, B <T and D <UTV
Suppose g(m) varies inversely with M and g (m) = 3.5 when m = 10.
What is the value of m when g (m) = 5 ?
Answer:
m =7.
Step-by-step explanation:
Let the constant number = k.
g(m) = k/m,
3.5 = k/10,
k = 35.
Thus, when g(m) = 5 = 35/m, m = 7.
Summer School 2020 Math 8 NWLSD
TUWW
Oriya
Mr. Williamson bought 4 boxes of chewy granola bars and 5 boxes of crunchy granola bars. Each box contained the
same number of granola bars. He took all 72 granola bars to the class picnic. How many granola bars were in each
box?
Let x represent the number of granola bars in each box.
Step 1: Write an equation.
Step 2: Identify and combine like terms.
Step 3: Use the properties of equality and inverse operations to solve the equation.
Done
Intro
DODO
Answer:
8 granola bars in each box
Step-by-step explanation:
The equation is 4x+5x=72
4x and 5x are like terms, so combine those 9x=72
Use the division property of equality to solve for x, x=8
What is the scale factor from Figure A to Figure B? (Please help)
Answer:
3
Step-by-step explanation:
You can look at the left side of figure thred, it’s one, and b’s left side is 3. To find the scale factor, you divide the second figure by the first. So 3/1=3
1. For each of 200 randomly selected cities, Gary recorded the number of churches
in the city (x) and the number of homicides in the past decade (y). He calculated
the linear correlation coefficient and was surprised to find a strong positive linear
correlation for the two variables. Does this suggest that building new churches
causes an increase in the number of homicides? Why do you think that a strong
positive linear correlation coefficient was obtained? Explain your answer with
reference to the term lurking variable.
Answer:
Kindly check explanation
Step-by-step explanation:
When certain variables are examined, there seems to be a sort of spurious relatuoshipnornassocuation between the two variables, this is evident in the relationship between churches and the number of homicide, when a strong positive correlation is observed between number of churches and number of homicides, this relationship is most likely to be due to the effect of a lurking or third variable which creeped into our analysis, a factor which has a posithe correlation on both number of churches and homicide level, Number of homicide and number of churches could have been correlated by the lncreasing population which may lead to overcrowding and competition Hence increasing rate of homicide, similarly, with high rise in population, the growth of church to accommodate the populees will also creep in.
Find the different
5-2
Answer:
3
Step-by-step explanation:
5-2=3 ¯\(◉‿◉)/¯
hope it may help you
mark as brainlist please!!
¯
Identify the: a) class width, b) class midpoints, and c) class boundaries for the given frequency distribution. Ages of Best Actors Age % 26-35 30 36-45 35 46-55 25 56-65 4 66-75 3 76-85 3
Answer:
Kindly check table below :
Step-by-step explanation:
Given :
Ages of Best Actors Age %
26-35 30
36-45 35
46-55 25
56-65 4
66-75 3
76-85 3
The class width = difference between the intervals = (35 - 26) = 10
Class midpoint = (sum of interval) / 2 = (26 + 35) / 2 = 61 / 2 = 30.5
The class boundaries :
Lower - 0.5 = 26 - 0.5 = 25.5
Upper + 0.5 = 35 + 0.5 = 35.5
Ages _ F ___Class Bound.__ classW__midpoint
26-35 _ 30 _ 25.5-35.5 ____ 10 _____ 30.5
36-45 _ 35 _ 35.5-45.5 ____ 10 _____ 40.5
46-55 _ 25 _ 45.5-55.5 ____ 10 _____ 50.5
56-65 _ 4 __ 55.5-65.5 ____ 10 _____ 60.5
66-75 _ 3 __ 65.5-75.5 _____10 _____ 70.5
76-85 _ 3 __ 75.5-85.5 _____ 10 _____ 80.5
37% of what number is 72?
Answer:
26.64
Step-by-step explanation:
37% of x = 72
0.37x = 72
isolate x
x = 72*0.37
x = 26.64
Plz help i need a correct answer asap
A is
[tex] | - 9| + |9| [/tex]
absolute value is always positive, the minus sign vanishes (it literally means "how far away from zero" something is. distance can't be negative.)
B ist just 18
What is the slope of the line below
Answer:
D. 1/2
Step-by-step explanation:
Step-by-step explanation:
The answer is 1/2. As the slop means gradient. so Gradient = change in Y / change in X .
calculate the following range of scores for a continuous variable: 9,8,7,6,5,4,3,2. Use upper and lower real limits to calculate your answer.
Answer:
7
Step-by-step explanation:
Given the data :
9,8,7,6,5,4,3,2
Ordering the data from least to highest :
2, 3, 4, 5, 6, 7, 8, 9
The range of a dataset is given by :
Maximum - Minimum
Maximum value = 9
Minimum value = 2
Range of data:
9 - 2 = 7
Range = 7
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
B..................................
Answer:
below
Step-by-step explanation:
v of sphere
v = 4/3 πr³
v= 4/3 *3.142*10³
v = 4188.8cm³
..... B is correct
PLEASE HELP ME!!!!
QUESTION WILL BE WORTH 10 POINTS!!!
I WILL MARK BRAINLIEST!!!!
Please answer the 3 questions on the picture.
I would appreciate it so much.
Answer:
lol i dont know but yo dog smell like evolution and natural selection?
Step-by-step explanation:
Answer:
11.) 180-38=142 12.)24.5 13.)im not sure but want to say 10
Step-by-step explanation:
Andy is comparing how long two tablets can be used after being fully charged.
-
Tablet A Tablet B
(minutes) (minutes)
540
593
Mean
Median
580
589
NOR
21
13
MAD
6
2
Answer:
Part A: On average Tablet B's battery will last longer.
Part B: The MAD is lower in tablet B's battery life so Tablet B is more consistent.
Step-by-step explanation:
If x = 3k + 2 and y = k - 2 is a solution of linear equation 5x - 3y = 4 , then the value of k
pls can say the answer fast
Find the length of the third side. If necessary, round to the nearest tenth.
Answer: 14.4
Step-by-step explanation:
Madelyn needs to order some new supplies for the restaurant where she works. The restaurant needs at least 518 glasses. There are currently 314 glasses. If each set on sale contains 8 glasses, which inequality can be used to determine s, the minimum number of sets of glasses Madelyn should buy? Submit Answer 518 < 8(314 + 8) O 518 > 8(314+ s) O 314 +8s < 518 314 +8s > 518
Answer:
(D)
314 + 8s >= 518
Step-by-step explanation:
Answer: 314 + 8s ≥ 518
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between and minutes. Find the probability that a randomly selected passenger has a waiting time minutes.
Answer:
Incomplete question, but I gave you a guide on the uniform distribution, and thus you just have to replace the values in these equations to find the desired probabilities.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{a - x}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Between a and b minutes.
Here you get a and b for the uniform distribution.
Find the probability that a randomly selected passenger has a waiting time minutes.
Here you will have the value of x.
Paul bakes raisin bars in a pan shaped like a rectangular prism. The volume of the pan is 480 cubic inches. The
HURRY PLEASE
length of the pan is
12 inches, and its width is 10 inches
V = 480 in^3
h = ?
12 in
10 in
What is the height of the pan?
Enter your answer in the box
in inches
Answer:
The height of the pan is 4 in.
Step-by-step explanation:
Granite has a specific heat of 800 J/g oC. What mass of granite is needed to store 150,000 J of heat if the temperature of the granite changes from 80 oC to 95 oC? (12.5 g)
Answer:
12.5g
Step-by-step explanation:
Given data
Shc= 800 J/g oC
Q=150000J
T1= 80
T2= 95
Q=mc(T2-T1)
150000= m*800(95-80)
150000= m*800*15
150000= 12000m
m= 150000/12000
m= 12.5g
Help me with this really fast
Answer:
quadratic trinomial ..........................
What is the volume of this figure?
Answer:
[tex]volume = 4 \times 4 \times 4 \\ = {4}^{3} \\ = 64 \: cubic \: ft[/tex]