Jon placed a ladder 24 feet long against the side of his house. The base of the ladder was 10 feet from the house. What angle did the ladder make with the ground, to the nearest degree.
Answers
Answer: 120 degrees (originally said 150 degrees, but thats a weird ladder)
Step-by-step explanation: 6 x 4 = 24, 6 x 60 = 360, 4 = 60, 10 x 2 = 20, 4 x 5 = 20, 60 x 5 = 300. 20 / 2 = 10, 300 / 2 = 150, 150 / 1.17 = 120 most likely
Related Questions
What is the value of x to the nearest tenth?
37°
2.1
Answers
Answer: 2.1 tan 37 = x/2.1 * 2.1. 2.1 tan 37 = x. 1.582463505 =x. To the nearest tenth. 1.6 =x.
Step-by-step explanation:
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.
Answers
The stem-and-leaf plot of the given data is attached.
A stem-and-leaf plot refers to a device used to present quantitative data in a graphical format to help in visualizing the shape of a distribution. It is a table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).
From the given options, the statements that describe the percentages distributed, distribution skewness and whether there are any gaps are:
The percentages are concentrated from 20% to 60% as these concentrations have more than one values. These data are fairly symmetric, perhaps slightly skewed right, considering the midpoint, 4.5, there are fairly equal number of values on each side, perhaps a little more on the right side.There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands, as there are no values corresponding to 1, or no values between 10 and 19 percent.Learn more about Stem-and-leaf plot:
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someone please answer this its confusing me
Answers
the line AB will be congruent to line DC so 8t + 7 = 9t - 2 which gives you t = 9
line AD will also be congruent to line BC so 4s + 1 = 2s + 25 which gives you s = 12
Find the distance to the nearest tenth
between the points (-4, 2) and (6, -3) on
the coordinate plane.
Answers
Answer:
d=11.2
Step-by-step explanation:
\(d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} \\ }\)
\(d=\sqrt{(6-(-4)^{2}+(-3-2)^{2} }\)
\(d=\sqrt{10^{2}+5^{2} }\)
\(d=\sqrt{100+25}\)
\(d=\sqrt{125}\)
\(d=11.18\)
\(d=11.2\)
examine the words below closely and put them in a logical sequence . 1. index 2. content 3. title 4. chapter 5. introduction
Answers
2. Content
3. Introduction
4. Chapter
5. Index
Hope this helps :D
Dimitri has let out 40m of his kite string, which makes an angle of 72° with the horizontal ground. If the kite flies directly over Sarah's head, what is the distance between Dimitri and Sarah?
Answers
Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.
How to Apply the Cosine Ratio?The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.
Using the cosine ratio, we have:
Reference angle (∅) = 72 degrees
Hypotenuse length = 40 m
Adjacent length = distance between Dimitri and Sarah = x
Plug in the values:
cos 72 = x/40
x = cos 72 * 40
x ≈ 12.4 [to one decimal place]
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Mrs. Cook wants to give each of her 24 students the same amount of candy. If each package of candy has 36 pieces in it, how many packages of candy should she buy so that there will be none left over? 4 3 5 2
Answers
Answer:
2
Step-by-step explanation:
Mrs. Cook should buy 2 packages and with that, she'll have 72 candy and it can be divided with 24 students and it will give each of the students each 3 candies
Eric, Peyton and Nathan go to a Chinese restaurant from lunch and order three different platters. Eric orders 2 portions of fried rice and 1 portion of chow mien. Peyton ordered 1 portion of fried rice, 1 portion of chow mien and 1 portion of sauteed broccoli. Nathan ordered 1 potion of sauteed broccoli and 2 portions of chow mien. Eric paid $5, Peyton paid $5.25 and Nathan paid $5.75 for their meals. How much does each item cost? *
Answers
Answer:
Fried rice is $2.25Chow mien is $2.75Sauteed broccoli is $0.25Step-by-step explanation:
Step 1: Create expressions
Assume that fried rice is x
Assume that chow mein is y
Assume that sauteed broccoli is z
Expression for Eric's order would be;
x + y = 5
Expression for Peyton's order would be;
x + y + z = 5.25
Expression for Nathan's order would be;
2y + z = 5.75
Step 2: Express in like terms
Now express z and x in terms of y so that we can solve for y;
2y + z = 5.75 x + y = 5
z = 5.75 - 2y x = 5 - y
Step 3: Solve variables
Solve for y
x + y + z = 5.25
(5 - y) + y + (5.75 -2y) = 5.25
5 + 5.75 - 2y = 5.25
10.75 - 2y = 5.25
2y = 10.75 - 5.25
2y = 5.5
y = $2.75
Solve for x;
x = 5 - y
= 5 - 2.75
= $2.25
Solve for z;
= 5.75 - 2y
= 5.75 - 2 * 2.25
= $0.25
Fried rice is $2.25
Chow mien is $2.75
Sauteed broccoli is $0.25
Simplify the expression -7c^8 * (-0.4c^3)^2
Answers
Answer:
\(-1.12c^{14}\)
Step-by-step explanation:
There are approximately 330,000,000 cubic miles of water on Earth. A cubic mile is approximately 147,200,000,000 cubic feet. How much water is on Earth? Estimate using scientific notation
Answers
Answer: 4.8576 × 10^19 cubic feet of water.
Step-by-step explanation:
330m * 147.2b = 48 quintillion feet.
Answer:
5 x 10^19 ft^3
Step-by-step explanation:
in a town election, 5985 people voted. this is 63% of the town's population who are registered to vote. How many people are registered to vote?
Answers
Answer:
9500
Step-by-step explanation:
If r represents the number of registered voters, we are given that ...
5985 = 0.63·r
r = 5985/0.63 = 9500
9500 people are registered to vote.
Arthur is saving money to buy a used car in 8 months. The car costs $2,180. Arthur plans to start with an initial deposit and then deposit 25% more than the previous month until he has enough money to buy the car. What is the minimum initial deposit Arthur must make? Round to the nearest whole dollar.
Answers
The minimum initial deposit Arthur must make is $ 4.24.
Since Arthur is saving money to buy a used car in 8 months, and the car costs $ 2,180, and Arthur plans to start with an initial deposit and then deposit 25% more than the previous month until he has enough money to buy the car, to determine what is the minimum initial deposit Arthur must make the following calculation should be performed:
X x 1.25 x 1.56 x 1.95 x 2.44 x 3.05 x 3.81 x 4.76 = 2180 514.10X = 2180 X = 2180 / 514.10 X = 4.24
Therefore, the minimum initial deposit Arthur must make is $ 4.24.
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Find the square root of 1681
Answers
Answer: The square root of 1681 is 41.
Answer:
41
Step-by-step explanation:
It is 41
41 * 41 = 1681
41 ^ 2 = 1681
A classroom has 28 students, 11 of these students are boys. If a student is randomly
chosen, what's the probability that the student will be a girl? Round
Answers
Answer:
Probability that student will be a girl = 17 / 28
Step-by-step explanation:
Given:
Total number of student = 28 student
Number of boys in the class = 11
Find:
Probability that student will be a girl = ?
Computation:
⇒ Number of girls in class = Total number of student - Number of boys in the class
⇒ Number of girls in class = 28 - 11
⇒ Number of girls in class = 17
⇒ Probability that student will be a girl = Number of girls in class / Total number of student
⇒ Probability that student will be a girl = 17 / 28
divide the polynomials x^2-10,000/x-100
Answers
Answer:
x+100
Step-by-step explanation:
x^2-10,000/x-100
x^2-10000 is a difference in squares and can be factored.
x^2-10000 = (x+100)(×-100).
(x+100)(x-100)/(x-100)
(x-100) cancel each other.
x+100 remains.
Problem 3.4 (Video 2.5 - 2.6, Lecture Problem) You are interested in calculating the probability that your favorite 1
Game of Thrones character is eliminated in episode X. You have decided to model X as a Geometric (1/4) random variable. (a) Unfortunately, you have learned a spoiler: your favorite character does not appear in episode 4 or beyond. What is the conditional PMF P X∣B
(x) of X given the event B={X<4} ? (b) Given this spoiler, what is the probability that your favorite character is eliminated in one of the first two episodes? (c) Given this spoiler, what is the expected value of X conditioned on the event B ? (d) Let's consider yet another scenario: After watching the show for 2 episodes, you are happy to see that your favorite character has not been eliminated yet. What is the conditional PMF P X∣C
(x) of X given the event C={X>2} ? 1
Somehow, you have already managed to decide on a favorite character before watching any episodes. 2 (e) Let Y=X−2 be the number of additional episodes after the 2 nd that it takes for your favorite character to be eliminated. Using part (d), quickly determine the conditional PMF P Y∣C
(y) of Y given the event C={X>2}. Determine the family of random variables this conditional PMF belongs to, along with the associated parameter(s). (f) Using what you learned in part (e), determine the conditional mean E[X∣C].
Answers
(a) The conditional PMF P X∣B (x) of X given the event B={X<4} can be calculated using the formula
P(X=x|B) = P(X=x and B)/P(B).
Since the event B={X<4} includes the events X=1, X=2, and X=3, we can calculate P(B) as the sum of the probabilities of these events:
P(B) = P(X=1) + P(X=2) + P(X=3) = (1/4) + (3/4)(1/4) + (3/4)^2(1/4) = 13/16.
Therefore, the conditional PMF P X∣B (x) is given by:
P(X=1|B) = P(X=1 and B)/P(B) = (1/4)/(13/16) = 4/13
P(X=2|B) = P(X=2 and B)/P(B) = (3/4)(1/4)/(13/16) = 3/13
P(X=3|B) = P(X=3 and B)/P(B) = (3/4)^2(1/4)/(13/16) = 6/13
(b) The probability that your favourite character is eliminated in one of the first two episodes given the spoiler is P(X=1|B) + P(X=2|B) = 4/13 + 3/13 = 7/13.
(c) The expected value of X conditioned on the event B can be calculated using the formula E[X|B] = sum(x*P(X=x|B)) for all x in the support of X. Therefore, E[X|B] = 1*(4/13) + 2*(3/13) + 3*(6/13) = 20/13.
(d) The conditional PMF P X∣C (x) of X given the event C={X>2} can be calculated using the formula P(X=x|C) = P(X=x and C)/P(C). Since the event C={X>2} includes the events X=3, X=4, ..., we can calculate P(C) as the sum of the probabilities of these events: P(C) = P(X=3) + P(X=4) + ... = (3/4)^2(1/4) + (3/4)^3(1/4) + ... = (3/4)^2/(1-(3/4)) = 12/16. Therefore, the conditional PMF P X∣C (x) is given by:
P(X=3|C) = P(X=3 and C)/P(C) = (3/4)^2(1/4)/(12/16) = 1/3
P(X=4|C) = P(X=4 and C)/P(C) = (3/4)^3(1/4)/(12/16) = 1/4
...
(e) The conditional PMF P Y∣C (y) of Y given the event C={X>2} can be obtained by shifting the conditional PMF P X∣C (x) of X given the event C={X>2} by 2 units to the left. Therefore, P Y∣C (y) = P X∣C (y+2) for all y in support of Y. This conditional PMF belongs to the family of geometric random variables with parameter 1/4.
(f) The conditional mean E[X|C] can be calculated using the formula E[X|C] = sum(x*P(X=x|C)) for all x in the support of X. Since the conditional PMF P X∣C (x) is a geometric distribution with parameter 1/4 shifted by 2 units to the right, we can use the formula E[X|C] = 2 + 1/(1/4) = 6.
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Two cars start from the same point and move in a straight line, one east at a speed of 60 km per hour and the other west at a speed of 80 km per hour. After what time will they live at a distance of 770 km?
Answers
Answer:
5.5 hours
Step-by-step explanation:
Given that :
Speed of A = 60 kmphr
Speed of B = 80 kmphr
After what time will distance = 770 km
Speed * Time = Distance
Let time = x
Distance A + Distance B = 770
(60 * x) + (80 * x) = 770
60x + 80x = 770
140x = 770
x = 770 / 140
x = 5.5 hours
Hannah reads at a constant rate of 3 pages every 8 minutes. Write an equation that shows the relationship between p, the number of pages she reads, and m, the number of minutes she spends reading. Report a probler
Answers
Since we have that Hannah reads 3 pages every 8 minutes, we will construct the function by first knowing how many pages she reads in 1 minute, that is:
She reads 3/8 pages each minute, then we will construct the function as follows:
\(p=\frac{3}{8}m\)Where p is the number of pages and m is the number of minutes that she reads. We can see that this describes is if we solve for 1 minute and 8 minutes. If we solve for 1 minute, we get she read 3/8 pages and if we replace 8 minutes, we will get that she reads 3 pages.
b. What is the area of the surface of Crater Lake?
Give a step by step explanation
Answers
Answer: 23.76 miles
Step-by-step explanation:
You are basically finding the perimeter for question a
given that perimeter is \(\pi\)d
Subsitute the values
So perimeter = \(\pi\) x 5.5 = 5.5 \(\pi\) miles = 17.28 miles (2.d.p)
For question b, the area of the surface of Crater lake is finding its area
Given that area of a circle is \(\pi r^{2}\)
Substitute the values
Because 5.5 is the diameter, to find the radius, divide by 2 to get 2.75
Area = 2.75^2 x \(\pi\) = 7.5625\(\pi\) = 23.76 miles^2 (2.d.p)
An IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of the residents of a state if you want to be 95% confident that the sample mean is within 4 IQ points of the true mean.
What is the required sample size?
Answers
Answer:
55
Step-by-step explanation:
\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)
Make sure to always round up the required sample size to the nearest integer!
is 1+1=11 or does 1+1= window
Answers
Answer:
Step-by-step explanation:
Probably "1+1=window" was discovered by some cheeky primary school student, and then it spread without attribution. We will never know for sure who originally came up with that.
URGENT!!!! Find the y-intercept of the line that passes through the points (-3, 7) and (3, −9).
Answers
Answer:
\(m = \frac{ - 9 - 7}{3 - ( - 3)} = \frac{ - 16}{6} = - \frac{8}{3} \)
\(7 = - \frac{8}{3} ( - 3) + b\)
\(7 = 8 + b\)
\(b = - 1\)
\(y = - \frac{8}{3} x - 1\)
The y-intercept is -1.
Which option is a better deal? 12 ounces of cereal for $2.99 or 17ounces of cereal for $3.52
Answers
Answer:
17 ounce cereal
Step-by-step explanation:
It is only a 53. cent difference so the better option would be the 17 ounce bag
The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the measurements for QAP is 20° and QBP is 35°, how far above sea level is peak P ? Express your answer to the nearest foot.
Height above sea level:
Answers
Answer:
6610
Step-by-step explanation:
We have tan(X) = opposite/ adjacent
tan(QBP) = PQ/BQ
tan(35) = PQ/BQ ---eq(1)
tan(QAP) = PQ/AQ
tan(20) = \(\frac{PQ}{AB +BQ}\)
\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)
230*tan(20) + PQ*tan(20)*tan(35) = PQ
⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)
⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]
\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)
\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)
PQ = 110.4
≈110
Height above sea level = 6500 + PQ
6500 + 110
= 6610
Find a. the mean; b. the deviation from the mean for each data item; and c. the sum of the deviations in part (b) for the
following group of data items.
136, 141, 146, 149, 153
Answers
Given the dataset 136, 141, 146, 149, 153
The mean is the total number of datasets divided by the sum of the datasets.
What is meant by mean?The average of a set of values is referred to as the mean. The simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean are all methods for calculating the mean.
The mean of a dataset (also known as the arithmetic mean, as opposed to the geometric mean) is the total number of values divided by the sum of all values. It is the most commonly used measure of central tendency and is also known as the "average."
Therefore,
a) \($&\text { Mean }=\sum X i / N \\\)
\($&\bar{x}=\frac{136+ 141+146+ 149+ 153}{5} \\\)
\($&\bar{x}=\frac{725}{5} \\\)
\($&\bar{x}=145\)
b) The formula for calculating the deviation from the mean for each value is expressed as \($X i-\bar{X}\) where;
Xi is value of each item
x bar is the mean = 145
Mean deviation of 136 = 136-145 = -9
Mean deviation of 141= 141-145 = -4
Mean deviation of 146= 146-145 = 1
Mean deviation of 149= 149-145 = 4
Mean deviation of 153= 153-145 = 8
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State if the triangles in each pair are similar
Answers
So, based on the resemblance between AA and SS, we can say: AEDC and AJKL
what is triangle ?An enclosed triangle is a geometric shape with three sides and three angles in two dimensions. It is one of the fundamental geometric shapes and has several uses in both mathematics and daily life. Acute, obtuse, right, equilateral, isosceles, and scalene triangles are examples of popular types of triangles that can be categorized based on the size of their sides and angles. Triangle analysis is a crucial component of geometry and is used in disciplines including physics, engineering, and architecture.
given
Triangles in option (C) resemble those in (B).
If the matching sides and angles of two triangles are proportionate, then we can say that the triangles are comparable.
Triangle formed by AJKL and AEDC contains:
AED Equals AJK (both at 50 degrees)
ADS = ADE (both are right angles)
CDE = KLJ (both are right angles)
The triangles meet the angle-angle (AA) similarity requirement as a result.
Moreover, we have
DE/ JL = 52/39 AE/ AJ = 24/50 = 12/25
The triangles so also meet the side-side (SS) similarity requirement.
So, based on the resemblance between AA and SS, we can say: AEDC and AJKL
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The complete question is:- State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
AJKL~
A) not similar
B) similar; SSS similarity; ADCE C) similar; SAS similarity; AEDC D) similar; SSS similarity; ADEC
Which relationship represents a function with a greater rate
of change than the function graphed?
Answers
The relationship that represents a function with a greater rate of change than the function graphed is given as follows:
A. y = 4x - 3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b.
The slope represents the average rate of change of a linear function.
From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:
m = -2.
For function A, the function is defined as follows:
y = 4x + 3.
Hence the rate of change is given as follows:
m = 4, which is greater than -2.
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12. Suppose U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} is the universal set and G = \{1, 2, 3, 4, 5, 6, 7\} . What (1 point)
O \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}
O cannot be determined
O \{1, 2, 3, 4, 5, 6, 7\}
O \{8, 9, 10\}
is G'?
Answers
The complement of A∪B is A′∩B ′.
In sets, what does complement mean?A set of components in the universal set that are not a part of the initial set is known as the complement of a set in mathematics. Discover what a subset and its complement are, how to calculate a subset's complement, and the proper notation to use when writing a subset and its complement.
Given, universal set, U={1,2,3,4,5,6,7}
A={1,2,5,7}
B={3,4,5,6}
(A∪B) ′=U−(A∪B)
={1,2,3,4,5,6,7}−{1,2,3,4,5,6,7}=ϕ
A′∩B′=(U−A)n(U−B)
={3,4,6}n{1,2,7}=ϕ
Hence ( A∪B)′=A′∩B ′.
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What is the -2.25 -5.5 -4 show your work
Answers
Answer:
-2.25 - 5.5 - 4
-7.75 - 4
-11.75
Step-by-step explanation:
the area of a square patio is 196 square feet how long is each side of the patio
Answers
Answer:
\(14\) ft
Step-by-step explanation:
Let x be the length of each side
Turn it into an algebraic expression: \(x^{2} = 196\) 14 × 14 = 196So, x = 196I hope this helps!