Answer:
This question is mainly about pythagorean theorm as if we just analyse this question we see the information given to us are
The height of the building = 11 ft The distance in between the fence and the building = 1 ftThe distance of ladder from the fence = 8 ftNow it is said to find out the length of ladder as because the ladder is resting against the buiding so it will generally form an acute angle with the ground and as we can take the ladder to be as the hypotenuse of a right angled triangle in which the length of the perpendicular building forms one of the leg and the distance of the building from the point where the ladder is kept is said to be another leg
Now we get the measure of the vertical leg = height of the buiding = 11 ft
and another leg = distance in between the fence and the point on which the ladder is kept + the distance in between the fence and building
= (8+1)ft =9ft
Now we know hypotenuse = √base^2+√height^2
= √9^2+√11^2
= √81+√121
= √ 202
= 14.21 ft
Therefore the length of the ladder = 14.21 ft
Hope it helps you
The length of the ladder should be 11.1 feet long.
Let's denote the length of the ladder as L.
According to the given information:
The distance from the building to the fence = 1 ft.
The height of the window = 11 ft.
The distance from the ladder to the fence = 8 ft.
Using the Pythagorean theorem, we can set up the equation:
[tex]L^2 = (1^2) + (11^2)[/tex]
Simplifying:
[tex]L^2 = 1 + 121[/tex]
[tex]L^2 = 122[/tex]
Taking the square root of both sides:
[tex]L = \sqrt{122}[/tex]
[tex]L = 11.05 ft[/tex]
Therefore, the worker will need a ladder approximately 11.1 feet long.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ4
Can someone help me find the standard deviation of this data set plssss
35
27
24
42
25
31
41
34
32
46
29
44
29
35
39
27
41
63
52
31
38
46
39
27
58
32
33
47
36
28
65
53
40
32
39
44
48
59
46
62
22
39
35
29
36
66
33
45
50
62
27
27
41
33
54
44
26
31
45
33
42
63
51
70
42
53
38
28
35
49
47
54
44
40
39
62
30
35
38
26
34
61
19
30
34
26
41
35
26
54
28
32
50
27
31
35
38
26
47
30
28
62
57
56
30
32
31
36
32
42
33
51
35
30
28
20
23
27
33
36
35
42
43
28
36
44
58
41
36
37
49
34
23
39
34
37
62
23
28
26
29
30
37
46
43
56
53
31
36
44
39
51
21
51
34
30
25
31
38
52
49
43
50
31
36
32
28
44
61
57
24
63
28
31
32
26
28
since it was too long, I just made this python code in order to solve for it:
from math import *
data = [35, 27, 24, 42, 25, 31, 41, 34, 32, 46, 29, 44, 29, 35, 39, 27, 41, 63, 52, 31, 38, 46, 39, 27, 58, 32, 33, 47, 36, 28, 65, 53, 40, 32, 39, 44, 48, 59, 46, 62, 22, 39, 35, 29, 36, 66, 33, 45, 50, 62, 27, 27, 41, 33, 54, 44, 26, 31, 45, 33, 42, 63, 51, 70, 42, 53, 38, 28, 35, 49, 47, 54, 44, 40, 39, 62, 30, 35, 38, 26, 34, 61, 19, 30, 34, 26, 41, 35, 26, 54, 28, 32, 50, 27, 31, 35, 38, 26, 47, 30, 28, 62, 57, 56, 30, 32, 31, 36, 32, 42, 33, 51, 35, 30, 28, 20, 23, 27, 33, 36, 35, 42, 43, 28, 36, 44, 58, 41, 36, 37, 49, 34, 23, 39, 34, 37, 62, 23, 28, 26, 29, 30, 37, 46, 43, 56, 53, 31, 36, 44, 39, 51, 21, 51, 34, 30, 25, 31, 38, 52, 49, 43, 50, 31, 36, 32, 28, 44, 61, 57, 24, 63, 28, 31, 32, 26, 28]
def stand_dev(list_n):
x = 0
sum_num = 0
for x in list_n:
sum_num += list_n[x]
sum_of_n = sum_num
mean = float(sum_of_n / len(list_n))
float(mean)
i = 0
e = 0.0
for i in list_n:
subtract_then_square = (list_n[i] - mean)**2
e += subtract_then_square
result1 = e
new_mean = result1 / len(list_n)
final_result = float(sqrt(new_mean))
return final_result
print(stand_dev(data))
basically, the first chunk of the code calculated the mean of the data. The second chunk would take all of the values from the data, subtract it from the mean, and then square it. I then took the sum of all the new values and average it to get the new mean, then square rooted the new mean to get the answer.
it should be ~= 11.713, but you can always check it by searching up a python compiler online and then insert in the data.
Answer:
I used MS excel and got the attached results.
Note the data is sorted and the data size is 177.
The answer I got is 11.31045226
4. Find the area of the polygon.
Answer:
20
Step-by-step explanation:
Which of the following is an example of a producer?
1. tree
2. hawk
3.rabbit
4. mushroom
Answer:
1. treeStep-by-step explanation:
Tree as an autotroph can prepare its own food and which animals and humans feed upon, so the tree is a producer
please help
Evaluate 3^x for x = −2, x = 1, and x = 3.
A)1∕3, 0, 9
B) 9, 3, 27
C) 1∕9, 3, 27
D)1∕9, 9, 27
Step-by-step explanation:
1/3,0,9
9,3,27
1/9,3,27
In the data set shown below, what is the value of the quartiles?
{4.3, 4.5, 4.7, 5, 5.5, 5.7, 5.9, 6, 6.1}
A. Q1 = 4.6; Q2 = 5.5; Q3 = 5.95
B. Q1 = 4.7; Q2 = 5.5; Q3 = 6
C. Q1 = 4.7; Q2 = 5.5; Q3 = 5.9
D. Q1 = 4.6; Q2 = 5.5; Q3 = 5.92
Answer:
A. Q1 = 4.6; Q2 = 5.5; Q3 = 5.95Step-by-step explanation:
Q2 is the median of the data set:
Q2 = 5.5Q1 is the median of lower half:
Q1 = (4.5 + 4.7)/2 = 4.6Q3 is the median of upper half:
Q3 = (5.9 + 6)/2 = 5.95Correct choice is A
Answer:
A.Q1 = 4.6;Q2 = 5.5;Q3 = 5.95
Step-by-step explanation:
I hope this helps
4) What is the perimeter of a square with side length Of 3 squared
Answer:
36
Step-by-step explanation:
3² = 9.
So, the perimeter is 9(4) = 36
An initial deposit of $10000 is left in account for 5.5 years at 3.6% interest compounded continuously. What is the
final value of the account to the nearest dollar after the 5.5 years?
Answer:
11980
Step-by-step explanation:
This is simple interest.
We use the formula i=prt. Interest = price x rate x time
You just plug in your numbers, 10000 is your price, 5.5 years is the time, and 3.6% interest is rate.
Now our equation looks like this: i = 10000 x 5.5 x 0.036
(i converted the percent to a decimal)
So the interest is 1980, but the question asks for the final value, so we add the interest to the initial deposit, 1980 + 10000, and we get 11980 for our final value.
I apologize if my answer is wrong, but if it isn't I hope I helped :)
9514 1404 393
Answer:
$12,190
Step-by-step explanation:
The formula for the balance in an account where continuous compounding occurs is ...
A = Pe^(rt) . . . . where P is the principal invested at annual rate r for t years
A = $10,000e^(0.036·5.5) = $10,000e^0.198
A ≈ $12189.62 ≈ $12,190 . . . . rounded to the nearest dollar
look at the image below urgent needs to be done by midnight tonight to promote to the next grade level
Answer:
1526.81403
Step-by-step explanation:
V=πr^2 h/3
Answer:
V = 1526.8 yd^3
Step-by-step explanation:
V = [tex]\pi[/tex][tex]r^{2}[/tex]([tex]\frac{h}{3}[/tex])
r = 9yd
h = 18yd
V = [tex]\pi[/tex][tex](9)^{2}[/tex]([tex]\frac{18}{3}[/tex])
V = [tex]\pi[/tex](81)(6)
V = 486[tex]\pi[/tex]
V = 1526.8 yd^3
3.06 as. a fraction PLEASE HELP
Answer:
153/50
Step-by-step explanation:
3.06
Rewriting as
There are two numbers after the decimal so we put the number over 100
306/100
Divide top and bottom by 2
153/50
To write 3.06 as a fraction you have to write 3.06 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
3.06 = 3.06/1 = 30.6/10 = 306/100
And finally we have:
3.06 as a fraction equals 306/100
Find the circumference and area of a circle with a diameter of 6m. Leave you answers in terms of π.
Circumference:
Area: 9π
(Personal Note- I figured out the area it is 9π)
Answer:
6π
Step-by-step explanation:
Diameter = 6
Radius = Diameter/2 = 6/2 = 3
Circumference = 2(π)(r) = 2(π)(3) = 6π
PLEASE HELP ME WITH EMPIRICAL RULE!! ASAP!
Answer:
hahahahahahahahahahhahahahahhahahahahhahagagagaggagagagahhahahahahha
Instructions: The polygons in each pair are similar. Find the
missing side length.
Answer:
missing side length is 12
Step-by-step explanation:
similar means that all correlating pairs of sides have the same ratio (old side length) / (new side length).
so, when we know the ratio of one pair, we can apply it to any other side to calculate the correlating side.
we see, when we go from small to large, that we have the ratio 32/40 = 4/5.
so, multiplying the larger side by this, we get the shorter side.
15 × 4/5 = 3 × 4 = 12
the proportion part in your picture is a bit confusing :
yes,
x/15 = 32/40 = 32/40
I don't know, why this last expression was repeated.
x/15 = 32/40
x = 15×32/40 = 15×4/5 = 3×4 = 12
as you see we get of course the same result doing it that way.
point k is between j and l. if jk = x^2 - 4x , kl = 3x - 2 and jl = 28 write and solve an equation to find the lengths of jk and kl
Answer:
JK=12
KI=16
Step-by-step explanation:
[tex]K\in\ [JI]\ \Rightarrow\ |JK|+| KI |=|KI|\\\\x^2-4x+3x-2=28\\\\\Longleftrightarrow\ x^2-x-30=0\\\\\\\Longleftrightarrow\ x^2+5x-6x-30=0\\\\\\\Longleftrightarrow\ x(x+5)-6(x+5)=0\\\\\\\Longleftrightarrow\ (x+5)(x-6)=0\\\\x=-5\ (excluded)\ or\x=6\\\\\\\Longleftrightarrow\ \\|JK|=x^2-4x=6^2-4*6=36-24=12\\|KI|=3x-2=3*6-2=18-2=16\\\\Proof: 12+16=28\\[/tex]
solve for x please help ! (show work)
Answer:
x = 1
Step-by-step explanation:
-2x + 8x + 3 - 7 = 2
Combine like terms
-2x + 8x = 6x
3 - 7 = -4
We now have
6x - 4 = 2
Add 4 to both sides
6x - 4 + 4 = 2 + 4
6x = 6
Divide both sides by 6
6x/6 = 6/6
x = 1
The curve y=2x^3+ax^2+bx-30 has a stationary point when x=3. The curve passes through the point (4,2).
(A) Find the value of a and the value of b.
#secondderivative #stationarypoints
A stationary point at x = 3 means the derivative dy/dx = 0 at that point. Differentiating, we have
dy/dx = 6x ² + 2ax + b
and so when x = 3,
0 = 54 + 6a + b
or
6a + b = -54 … … … [eq1]
The curve passes through the point (4, 2), which is to say y = 2 when x = 4. So we also have
2 = 128 + 16a + 4b - 30
or
16a + 4b = -96
4a + b = -24 … … … [eq2]
Eliminate b by subtracting [eq2] from [eq1] and solve for a, then for b :
(6a + b) - (4a + b) = -54 - (-24)
2a = -30
a = -15 ===> b = 96
Jack is going to the fair. The fair charges $10 to enter and $0.25 per ticket. How much will be spent by Jack? t = tickets 0.25 + 10 10 + 0.25t
Answer:
10 + .25t
Step-by-step explanation:
The total amount spent is equal to the amount to get in plus the cost of the tickets times the number of tickets
cost = 10 + .25t
The distance a race car travels is given by the equation, [tex]d=v_{0} t+\frac{1}{2} at^{2}[/tex], where [tex]v_{0}[/tex] is the initial speed of the race car, a is the acceleration and t is the time traveled. Near the beginning of a race, the driver accelerates for 9 seconds at a rate of [tex]4m/s^{2}[/tex]. The driver's initial speed was 75 m/s.
Find the driver's average speed during the acceleration.
Step-by-step explanation:
here's the answer to your question
ANSWER PLEASE I think it's 6 but it's just to much thinking A
Answer:
C. [tex]5\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{2}[/tex] cups of milk makes 1 quart of yogurt.
x cups of milk makes [tex]3\frac{1}{2}[/tex] quarts of yogurt.
[tex]\frac{milk}{yogurt}= \frac{1\frac{1}{2} }{1} =\frac{x}{3\frac{1}{2} }[/tex]
Cross multiply.
[tex]1\frac{1}{2}[/tex] × [tex]3\frac{1}{2}[/tex] = 1 × x
You get:
[tex]5\frac{1}{4} =x[/tex]
I hope this helps!
pls ❤ and mark brainliest pls!
Jane and her two friends will rent an apartment for S550 a month, but Jane will pay double what each friend does because she will have her own bedroom.
How much will Jane pay a month?
Answer:
$275 a month
Step-by-step explanation:
Let x represent how much each friend is paying.
The amount Jane pays can be represented by 2x, since she is paying double than her friends.
Add together these terms and set them equal to 550. Then, solve for x:
x + x + 2x = 550
4x = 550
x = 137.5
So, each friend is paying $137.50. Double this to find how much Jane is paying:
137.5(2)
= 275
So, Jane is paying $275 a month
For the function y=f(x), find f’(a)
Answer:
-1
Step-by-step explanation:
f(x) = x²+3x+1
f(a) = a²+3a+1
f'(a) = 2a+3
putting a = -2
2×(-2)+3
= -4+3
= -1
WILL GIVE BRAINLIEST
Complete the equation describing how
x and y are related.
х
-3
-2
-1
0
1
2
3
y
12
8
4
0
-4
-8
-12
y = [? ]x
Answer:
[tex]y=4x[/tex]
Answer:
y = -4x
hope that helped.........
Use the diagram to answer the question below.
Points A, B, and C are collinear.
True
False
Answer:
I think it's a true
I hope it's helps you
Been stuck for 30 mins now please help !!!
Answer:
D) y = 2x + 1
Step-by-step explanation:
what should be added to 780629 so that the sum is exactly divisible by 493?
Answer:
283
Step-by-step explanation:
Given problem is based on divisibilityy,
= 780629/493
quotient = 1583
remainder = 210
So,Add 283 with remainder (210) to get 493
= 283+210
= 493
There for 283 should be added to 780629 so that the sum is exactly divisible by 493
The problem has come from division .
First divide them
[tex]\\ \sf\longmapsto \dfrac{480629}{493}[/tex]
[tex]\\ \sf\longmapsto Remainder=210[/tex]
[tex]\\ \sf\longmapsto Quiotent=1583[/tex]
Now We have to add x to the remainder by which it will be 493
[tex]\\ \sf\longmapsto x+210=493[/tex]
[tex]\\ \sf\longmapsto x=493-210[/tex]
[tex]\\ \sf\longmapsto x=283[/tex]
Let f(x)=−5x+18 and g(x)=x2+15.
Find f(−2)−g(−2).
Answer:
21
Step-by-step explanation:
-5(-2)-(-2)²+15
10-(4)+15
10-4+15
21
Answer:
9
Step-by-step explanation:
f(x)=−5x+18
f(-2) = -5(-2)+18 = 10+18 = 28
g(x)=x^2+15
g(-2) = (-2)^2 +15 = 4+15 = 19
f(02) - g(-2) = 28 - 19 = 9
What is the scale factor of the dilation?
A. 2/5
B. 2/3
C. 3/2
D. 8/5
What is the mean of this data set?
A. 84
B. 85
C. 83
D. 88
Answer:
85
Step-by-step explanation:
Add to get total. divide by 4.
Answer:
B. 85
Step-by-step explanation:
Sorry for this very late response. But if anyone wasn't sure if 85 is the correct answer, it is. I can confirm this because I just took the test. I hope I could help! (:
A runner sprinted for 414 feet. How many yards is this?
Answer:
138 yards
Step-by-step explanation:
1 feet is (1/3) yard
414 feet is (1/3)*414=138 yards
Sasha Cohen does a triple toe loop (rotating 1080 degrees) in 1.5 s. What is her average angular speed during this jump
360°/s
3.0 rad/s
12.6 rad/s
720 rad/s
9514 1404 393
Answer:
12.6 rad/s
Step-by-step explanation:
1080 degrees in 1.5 seconds is an angular rate of ...
(1080°)/(1.5 s) = 720 °/s
There are π radians in each 180°, so this angular speed is ...
720 °/s = 4×180 °/s = 4×π rad/s ≈ 12.6 rad/s
Sasha's average angular speed is 12.6 rad/s.
HELP ASAP!!!!
Lydia is creating floral centerpieces for a friend's wedding. She is trying to decide the amount of tulips and peonies she should include in the centerpieces. The table below shows the number of flowers she plans to use in each centerpiece. The total number of flowers used for each centerpiece should be no more than 21 flowers.
Flower Type Number
Sweet Pea 8
Hyacinth 2
Tulip t
Gardenia 3
Peony p
First, select the inequality that can be used to represent the number of peonies, p, and tulips, t, Lydia can use in each centerpiece. Then, select possible combinations of peonies and tulips that could be in a centerpiece to satisfy the inequality.
answers
13 - (t + p) ≤ 21
13 + p + t ≥ 21
3 tulips and 9 peonies
2 tulips and 3 peonies
13 + t + p ≤ 21
6 tulips and 4 peonies
5 tulips and 3 peonies
21 - p + t ≥ 13
9514 1404 393
Answer:
13 + t + p ≤ 215 tulips and 3 peonies2 tulips and 3 peoniesStep-by-step explanation:
"No more than 21" means "less than or equal to 21." The total of flowers Lydia has listed is ...
8 + 2 + t + 3 + p = 13 +p +t
Lydia wants this less than or equal to 21, so the appropriate inequality is ...
13 +p +t ≤ 21
__
Subtracting 13 from both sides gives us a relation that helps us better see the possible values of p and t.
p +t ≤ 8
Then suitable numbers of peonies and tulips will numbers that total 8 or less. Of the choices listed, ones that match that requirement are ...
2 tulips and 3 peonies
5 tulips and 3 peonies
