A building meets the ground at a right angle. the top of a 10-foot ladder is placed against the bottom edge of a window in the building, and the base of the ladder is placed 6 feet from where the building meets the ground.
Answers
The bottom edge of the window is 8 inches above the ground, computed using the Pythagoras Theorem.
According to the Pythagoras Theorem, in a right triangle, the square of the hypotenuse, that is, the side opposite to the right angle is equal to the sum of the square of the legs, that is, the two other sides.
If in a right triangle, c is the hypotenuse, and a and b are the two legs, then by the Pythagoras Theorem, we can write:
a² + b² = c².
In the question, we are informed that a building meets the ground at a right angle. The top of a 10-foot ladder is placed against the bottom edge of a window in the building, and the base of the ladder is placed 6 feet from where the building meets the ground.
We are asked to draw a diagram that represents the situation and find the height of the bottom edge of the window from the ground.
We assume the building to be DB, meeting the ground BC at a right angle. At point C, the ladder meets the ground and meets the bottom edge of the window at point A.
The diagram is attached.
Now, we get a right triangle ABC, right-angled at B.
By Pythagoras' Theorem, we know that:
AB² + BC² = AC²,
or, AB² + 6² = 10²,
or, AB² = 10² - 6² sq. inches,
or, AB² = 100 - 36 sq. inches,
or, AB = √64 inches,
or, AB = 8 inches.
Thus, the bottom edge of the window is 8 inches above the ground, computed using the Pythagoras Theorem.
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The provided question is incomplete. The complete question is:
"A building meets the ground at a right angle. The top of a 10-foot ladder is placed against the bottom edge of a window in the building, and the base of the ladder is placed 6 feet from where the building meets the ground. Draw a diagram that represents this situation. How far up from the ground is the bottom edge of the window?"
Related Questions
Charlotte is solving the following equation for X (x+3)^2-10=2 her first steps are given below (x+3)^2=12 x+3= + square root 12
Answers
The values of the x in the given equation are x = 6.46 and x = -0.46
Solving an equationFrom the question, we are to solve the equation for x
The given equation is
(x+3)² -10 = 2
First, add 10 to both sides of the equation
(x+3)² -10 +10 = 2 +10
(x+3)² = 12
Now, take the square root of both sides to get
x + 3 = ±√12
∴ x = 3 ± √12
x = 3+√12 OR 3-√12
x = 3 + 3.46 OR 3 - 3.46
x = 6.46 OR -0.46
Hence, the values of the x in the given equation are x = 6.46 and x = -0.46
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Find the equation of the line through point (−1,4) and parallel to 5x+y=4. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Answers
The equation of the parallel line is y = -5x - 1
How to determine the line equation?The equation is given as:
5x + y = 4
Make y the subject
y = -5x + 4
The slope of the above equation is
m = -5
Parallel lines have equal slope.
This means that the slope of the new line is 5
The equation is then calculated as:
y = m(x - x1) + y1
So, we have:
y = -5(x + 1) + 4
Expand
y = -5x - 5 + 4
Evaluate
y = -5x - 1
Hence, the equation of the parallel line is y = -5x - 1
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WILL GIVE BRAINLIEST FOR CORRECT ANSWER AND EXPLANATION Belinda is buying fencing for her vegetable garden to keep her dogs out. The length of her garden is 15.6 feet, and the width is 10.8 feet. How much fencing material should she purchase to build the fence around the garden?
A. 168.48 ft
B. 54 ft
C. 52.8 ft
D. 26.4 ft
Answers
Answer:
C. 52.8 ft.
Step-by-step explanation:
Calculate the perimeter of the garden
[tex]P=2l+2w=2(15.6)+2(10.8)=31.2+21.6=52.8[/tex]
The perimeter represents the length of the fencing material she needs
Hope this helps
Answer:
52.8 if u give me brainliest tht will be so help full:)
Step-by-step explanation:
Find the measure of angle C.
D
118°
C
Answers
The measurement of angle C in the given figure is 118°.
Given that are two lines intersecting at a point making 4 angles, 118°, C, D and B.
B and D are opposite to each other and C and 118° are opposite to each other.
We need to find the measurement of angle C.
To find the measurement of angle C, we can use the concept of vertical angles.
Vertical angles are a pair of non-adjacent angles formed when two lines intersect.
They are always congruent, meaning they have the same measure.
In this case, angle 118° and angle C are vertical angles. So, their measures are equal:
Angle C = 118°
Therefore, the measurement of angle C is 118°.
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A jar is filled with 50 different colored marbles, 8 of which are red, 20 of which are blue, and 22 of which are green. a player is asked to draw a single marble from the jar and if they draw a red marble they will win $20, if they draw a blue marble they will lose $10, and if they draw a green marble they will lose $5. round your answer to the nearest cent.
Answers
The expected value of drawing a marble from the jar is -$0.8.
Given that jar is filled with 50 coloured marbles out of which 8 are red , 20 are blue and 22 are green and we have to find the expected value that a player will get by drawing one marble from the jar if the prize of drawing red marble is $20 and loss of $10 if blue marble is drawn.
Probability that a red marble is drawn from jar=8/50
Probability that a blue marble is drawn from jar=20/50
Probability that a green marble is drawn from jar=22/50
Value that player can expect by drawing a red marble from jar=
=P(X=red)*20-P(X=blue)*10+P(X=green)*0
=8/50*20-20/50*10+0
=16/5-20/5
=-4/5
=-0.8
It is negative ,means that player will not get any money. In fact player will lose $0.8.
Hence the expected value that player can expect is -$0.8.
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Question is incomplete as it should include that calculate the expected value of drawing a marble.
If Avogadro's number of pennies is divided equally among the 246 million men, women, and children in the United States, how many dollars would each receive
Answers
USD per person = $[tex]2.31[/tex] × [tex]10^{13}[/tex].
What is the US dollar?The US dollar is the official currency of the United States and a number of other countries. The Coinage Act of 1792 established the United States dollar on equal footing with the Spanish silver dollar, divided it into 100 cents, and authorized the minting of coins denominated in dollars and cents.To find how many dollars would each receive:
Avogadro's number of pennies is divided equally among 261 million people.
Avogadro's number is [tex]6.022[/tex] × [tex]10^{23}[/tex].
To find the number of pennies each person will receive, we divide [tex]6.022[/tex] × [tex]10^{23}[/tex] by 261 million.
Pennies per person = [tex]\frac{6.022 * 10^{23} }{261 million} = \frac{6.022 * 10^{23} }{261 * 10^{6} } = 2.31 * 10^{15}[/tex]
This is equal to the number of cents each person receives.
To convert pennies into dollars, 1 USD = 100 pennies, divide [tex]2.31 * 10^{15}[/tex] by [tex]100[/tex].
USD per person = [tex]\frac{2.31 * 10^{15} }{100} = $2.31 * 10^{13}[/tex]
Therefore, USD per person = $[tex]2.31[/tex] × [tex]10^{13}[/tex].
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The question you are looking for is here:
If Avogadro's number of pennies is divided equally among the 261 million men, women, and children in the United States, how many dollars would each receive?
What is the midpoint of the segment shown below?
Answers
Answer:
The correct answer choice is D
Alice and Bob each arrive at a party at a random time between $1:00$ and $2:00$. If Alice arrives after Bob, what is the probability that Bob arrived before $1:30$
Answers
The probability of the Bob arrived before 1.30 P.M is 1/2 if the Alice arrives after Bob.
According to the question,
Alice and Bob each arrive at a party at a random time between 1.00 P.M and 2.00 P.M.
In probability theory, the sample space(s) of a random trial is the set all possible results of that trial.
Let 'x' be the arrival time of Alice and 'y' be the arrival time of Bob.
s = {(x, y) /1≤x≤2 and 1≤y≤2}
In order to find the probability of the Bob arrived before 1.30 P.M, if the Alice arrives after Bob.
Formula for Probability = [tex]\frac{Number of favorable events}{Total number of events}[/tex]
= 1/2
Hence, the probability of the Bob arrived before 1.30 P.M is 1/2 if the Alice arrives after Bob.
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Find the area of the convex polygon with vertices (0,5), (-1,2), (4,4), (-3,-4) and (2,0).
Answers
The area of the convex polygon is 21.5 square units
How to determine the area of the convex polygon?The vertices are given as:
(0,5), (-1,2), (4,4), (-3,-4) and (2,0)
The area is then calculated as:
A = 0.5 * |x1y2 - x2y1 +x2y3 - x3y2 + ....... |
So, we have:
A = 0.5 * |-1 * 5 - 2 * 0 + 0 * 4 - 5 * 4 + 4 * 0 - 4 * 2 +2 * -4 - 0 * -3 - 3 * 2 + 4 * 1|
Evaluate
A = 0.5 * |-43|
Remove the absolute bracket
A = 0.5 * 43
This gives
A = 21.5
Hence, the area of the convex polygon is 21.5 square units
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Experiments done without replacement will result in:
Answers
When sampling is finished without replacement, each member of a population could also be chosen just once. during this case, the chances for the second pick are full of the results of the primary pick. The events are considered to be dependent or not independent.
lets understand with the help of an Example
You have a good, well-shuffled deck of 52 cards. It consists of 4 suits. The suits are clubs, diamonds, hearts and spades. There are 13 cards in each suit consisting of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king) of that suit.
Sampling without replacement:
Suppose you decide three cards without replacement. the primary card you choose out of the 52 cards is that the K of hearts. you place this card aside and pick the second card from the 51 cards remaining within the deck. it's the three of diamonds. you place this card aside and pick the third card from the remaining 50 cards within the deck. The third card is that the J of spades. Your picks are . Because you have got picked the cards without replacement, you can not pick the identical card twice.
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The lengths of three sides of a triangle are 2x + 1/5 feet , 4x + 1/2 feet , and x+ 1 5 . what is the perimeter of the triangle? the drondown menuto complete the answer
Answers
Answer:
7x + 9/10 ft
Step-by-step explanation:
To find the perimeter of a triangle, add the lengths of the three sides
P = 2x + 1/5 + 4x + 1/2 + x+ 1/ 5
Combine like terms
P = 7x + 2/5 +1/2
Get a common denominator
P = 7x + 2/5(2/2) + 1/2 * (5/5)
= 7x + 4/10 + 5/10
= 7x + 9/10
Can someone help me please
Answers
Answer:
D. (4,0) and (-4,0)
C. there is one discontinuity at x=3
Step-by-step explanation:
Roots can be found by setting f(x)=0:
f(x)=(x^2-16)/(x^2-2x-3)
0=(x^2-16)/(x^2-2x-3), multiply both sides by x^2-2x-3 to get rid of the denominator
0=x^2-16, use difference of squares to factor it
0=(x+4)(x-4)
x=4,-4
Therefore the roots are (4,0) and (-4,0)
Discontinuities are when f(x) is undefined, and f(x) is undefined when something is divided by 0
Set the denominator equal to 0:
0=x^2-6x+9, use the form a^2 - 2ab + b^2 to factor
0=(x-3)^2
x=3
Therefore, there is a discontinuity at x=3
what is the volume of a sphere with a radius of 6 inches
Answers
Answer:
288pi in^3 , which is 904.78 in^3 to nearest hundredth.
Step-by-step explanation:
V = 4/3 pi r^3
= 4/3 pi * 6*3
= 288pi in^3
= 904.7786842 in^3
The formula d=1/2n+26 relates the nozzles pressure n (in pounds per square inch) of a free hose and the maximum horizontal distance the water reaches d (in feet). How much pressure is needed to reach a fire 50 feet away?
Answers
The pounds of pressure needed to reach a fire 50 feet away is 48 pounds
Formulad = 1/2n + 26
where
n = nozzle pressure in pounds per square feetd = distance the water reachesIf d = 50 feet
d = 1/2n + 26
50 = 1/2n + 26
50 - 26 = 1/2n
24 = 1/2n
n = 24 ÷ 1/2
n = 48 pounds
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Can someone help? ASAP
Answers
[tex]\tan 45^{\circ}=\frac{x}{2\sqrt{10}}\\\\1=\frac{x}{2\sqrt{10}}\\\\\boxed{x=2\sqrt{10}}\\\\\\\\\sin 45^{\circ}=\frac{2\sqrt{10}}{y}\\\\\frac{1}{\sqrt{2}}=\frac{2\sqrt{10}}{y}\\\\y=2\sqrt[20}\\\\\boxed{y=4\sqrt{5}}[/tex]
The functions f(x) and g(x) are graphed.
On a coordinate plane, a curved red line with an upward arc, labeled g of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0).
Which represents where f(x) = g(x)?
f(0) = g(0) and f(2) = g(2)
f(2) = g(0) and f(0) = g(4)
f(2) = g(0) and f(4) = g(2)
f(2) = g(4) and f(1) = g(1)
Answers
Answer:
first option
Step-by-step explanation:
Always remember to graph a diagram :)
Store A has sold 67 mugs and sells 11
mugs every week. Store B has sold 13
mugs and sells 17 mugs every week.
How many weeks (w) will it be before
Store B sells as many mugs (m) as
Store A?
m = 11w + 67
m = 17w + 13
[?] weeks
Answers
Answer:
9 weeks.
Step-by-step explanation:
m = 11w + 67
m = 17w + 13
So:
11w + 67 = 17w + 13
67 - 13 = 17w - 11w
54 = 6w
w = 9.
A study analyzed the average yearly salt intake in the united states from 2012 thru 2017. the data is summarized in the table: the study found that the data after the year 2012 can be modeled by the function f(x) = 52.3x + 3,548, where x is the the number of years since 2012 and f(x) is the total amount of salt ingested in grams. describe the significance of 3,548.
Answers
The significance of 3,548 estimates the average grams of salt used in 2012.
A connection between independent variables and the dependent variable.is defined by the function.
Functions help to represent graphs and equations. A function is represented by two variables, one is dependent, and another one is an independent function.
The study discovered that the function can represent the data after the year 2012 as,
f(x) = 52.3x + 3,548
Where x is the number of years since 2012.
Hence, The significance of 3,548 estimates the average grams of salt used in 2012.
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The slope of the line is -2 use the coordinates (4,-6) to find the point-slope equation of the line
Answers
Answer: [tex]y+6=-2(x-4)[/tex]
Step-by-step explanation:
See attached image.
By use of technology, we investigated Mary’s investment and created the model, M(x) = 3.03(1.28)2x, in thousands of dollars. What was Mary’s initial investment? $4.96 $3,030 $4,960 $3.03
Answers
Using an exponential function, it is found that Mary's initial investment was of $3,030.
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex].
In which:
a is the initial value.b is the rate of change.Her investment model, in thousands of dollars, is:
[tex]M(x) = 3.03(1.28)^{2x}[/tex]
Then a = 3.03, since we measure the amount in thousands of dollars, Mary's initial investment was of $3,030.
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The citizens of a state may only register to vote after proving to have submitted their census survey.
Answers
The citizens of a state may only register to vote after proving to have submitted their census survey is a "false" statement.
What is census survey?In order to create statistics that define populations and their characteristics, such as age, education, housing, and income, the U.S. Census Bureau compiles data from households.
The purpose of census survey are-
We obtain this information by posing questions to members of the household regarding the occupants of the home, apartment, mobile home, or group housing.The census helps our communities decide where to build everything from homes to hospitals, from schools to supermarkets, and it provides information about who we are as a country and where we are headed. It aids in the government's decision-making about the allocation of cash and assistance to cities and states.It aids in predicting the nation's economic needs, such as those for electricity, housing, food, etc. figuring out the country's population size, standard of life, and number of unemployed people.To know more about census, here
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The complete question is-
The citizens of a state may only register to vote after proving to have submitted their census survey.(True/False)
Can someone help me please
Answers
Answer:
[tex]y=7x[/tex]
I hope this helps and that you can give a brainliest!
Step-by-step explanation:
If x and y vary directly, that means that y is directly proportional to x. So, the parent function is y = kx.
So, by plugging in the given y=42 when x=6 into this parent function, we get:
42=6k
If we solve for k, we end up with 7.
Now if we plug in the value of k back into the parent function of this scenario, we get:
[tex]y=7x[/tex]
Solve for this equation:
x(x+3)(x+3)=0
Answers
Answer:
x^3+6x^2+9x
if you are trying to find the original function
if not, and you are trying to find the zeros is
x=-3
x=0
Step-by-step explanation:
multiply x(x+3)
x^2+3x
then multiply that by x+3 and that should give you the answer
Answer:
x = 0 or x = -3 or x = -3
Step-by-step explanation:
set up factors as:
x = 0
x + 3 = 0
x + 3 = 0
the first will remain as x = 0 while the others become x = -3 once subtracted
i hope this helped!
ALL U NEED TO TO IS IDENTIFY THE PROPERTYS OF EACH PROBLEM. PLS
Answers
Player A throws the ball 25 yards to Player B. After catching the ball, Player B immediately turns 90 degrees to his left
and runs with the ball for 30 yards. At the end of the play, how far away is the ball from where it started? Round your
answer to the nearest whole number.
Answers
Answer:
39
Step-by-step explanation:
Flies Mosquitoes The table shows the number of flies and the number of mosquitoes that the frog eats for two lunches. Based on the ratio,
complete the missing values in the table.
Answers
On Monday: 35 mosquitos.
On Tuesday: 6 flies.
How to estimate the missing values of the table?As you can notice in the diagram, the frog eats 3 flies for every 7 mosquitoes (for lunch). Then you can define this ratio as pursues:
3: 7 or 3/7.
Based on the table below:
If the frog swallows 15 flies on Monday, then the number of mosquitos that it eats can be estimated as pursues:
3/7 = 15/mosquitoes
mosquitoes [tex]$= \frac{15*7}{3}[/tex]
mosquitoes = 35
If the frog eats 14 mosquitoes on Tuesday, then the number of flies that it eats can be estimated as pursues:
3/7 = flies/14
flies [tex]$= \frac{14*3}{7}[/tex]
flies = 6
The complete question is:
A frog catches insects for his lunch. The frog likes to eat flies and mosquitoes in a certain ratio, which is shown in the diagram. The table shows the number of flies and the number of mosquitoes that the frog eats for two lunches.
Based on the ratio, complete the missing values in the table.
Day Flies Mosquitoes
Monday 151515
Tuesday
141414
Disregard Above
Use Picture
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HALP URGENT PLS im dum
x =x=x, equals
^\circ
∘
Answers
Answer:
x = 55°
Step-by-step explanation:
That square box indicates a right angle.
A right angle is 90°.
We know that angle x and the 35° angle are making up this 90° angle together.
So, the equation to show what this ship looks like is the following:
[tex]x+35=90[/tex]
This is a simple equation, that if we solve, we get:
[tex]x=55[/tex]
So, x is 55°.
Considering the angle of the ray, it is found that the value of x is of x = 55º.
What is the angle of the ray?The ray has an angle of 180º. It is composed by:
Angle x.An angle of 35º.An angle of 90º.Hence:
x + 35 + 90 = 180
x = 180 - 125
x = 55º.
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I am stuck on the answer for this question
Answers
Answer:
12/13
Step-by-step explanation:
Trigonometric ratio:[tex]\sf Cos \ x = \dfrac{adjacent \ side \ to \ \angle x}{hypotenuse}\\\\[/tex]
[tex]\sf = \dfrac{XY}{ZX}\\\\=\dfrac{36}{39}\\\\=\dfrac{36 \div3}{39 \div 3}\\\\=\dfrac{12}{13}[/tex]
your anwer would be 12/13 love
Which two ratios form a proportion? a) 4 20 and 1 5 b) 4 20 and 2 5 c) 20 4 and 1 5 d) 20 4 and 2 5
Answers
A is proportional.
Lets simplify the problem,
← divide numerator/ denominator by 4
= 4/20= 1/5
Thus A form a proportion
≠ 1/5
Thus B is not a proportion
← divide numerator/ denominator by 4
= 2/5 ≠ 1/5
Thus C is not a proportion
5/1 ≠ 1/5
Thus D is not a proportion
A is proportional.
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The formula m =1/2(a+b) gives the mean M of two numbers a and b
a.express a in terms of m and b
b.hence find a when m=19 and
b=23
Answers
Answer:
a = 2m - b , a = 15
Step-by-step explanation:
(a)
m = [tex]\frac{1}{2}[/tex] (a + b) ← multiply both sides by 2 to clear the fraction
2m = a + b ( subtract b from both sides )
2m - b = a
(b)
when m = 19 and b = 23 , then
a = 2(19) - 23 = 38 - 23 = 15
a. 'a' in terms of m and b is given by: a = 2m - b.
b. when m = 19 and b = 23, the value of 'a' is 15.
a. To express a in terms of m and b, we can rearrange the mean formula:
m = (1/2)(a + b)
Now, we'll solve for 'a':
Multiply both sides by 2 to eliminate the fraction:
2m = a + b
Subtract 'b' from both sides:
2m - b = a
So, 'a' in terms of m and b is given by: a = 2m - b.
b. Now that we have the expression for 'a', we can find its value when m = 19 and b = 23:
a = 2m - b
a = 2(19) - 23
a = 38 - 23
a = 15
So, when m = 19 and b = 23, the value of 'a' is 15.
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