A ladder is 6 m long.
The ladder is placed on horizontal ground, resting against a vertical wall.
The instructions for using the ladder say that the bottom of the ladder must not be closer than 1.5 m
from the bottom of the wall.
How far up the wall can the ladder reach?
Answers
Answer:
5.8 m
Step-by-step explanation:
Using the Pythagorean Theorem (a² + b² = c²) you get the equation a² + 1.5² = 6² (or 1.5² + b² = 6²). Then you solve from there and rounding to the first decimal place you get 5.8
The ladder can reach a height of 5.6 meters.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a ladder that is resting against a wall.
Now, assume that the ladder can reach a height of [x] meters. Then when the bottom is at a horizontal distance of 1.5 meters, then we will get a right angled triangle with base = 1.5 m and hypotenuse = 6m. So, using Pythagoras theorem, we can write -
(6 x 6) = x² + (1.5 x 1.5)
x² = (6 x 6) - (1.5 x 1.5)
x² = 7.5 x 4.5
x² = 33.75
x = 5.6 meters
Therefore, the ladder can reach a height of 5.6 meters.
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Related Questions
HELPPPP ME PLZZZ
Micah wants to know the most common style of surfboard used at Breakers Point. He surveys surfers at Breakers Point between 8:00 A.M. and 12 P.M. Which of the following statements is true about Micah’s survey? Select all that apply
A. Micah will obtain a random sample by talking to as many surfers as possible.
B. The population for the survey is all people who surf at Breakers Point.
C Micah will not get a representative sample.
D.Micah's sample will be representative because anyone can surf at Breakers Point.
Answers
Answer:
B. The population for the survey is all people who surf at Breakers Point.
D.Micah's sample will be representative because anyone can surf at Breakers Point.
Step-by-step explanation:
hope it helps
The statements that are true are:
The population for the survey is all people who surf at Breakers Point.
Micah will not get a representative sample.
Options B and C are the correct answer.
What is random sampling?It is the way of choosing a number of required items from a population given.
Each item has an equal probability of being chosen.
We have,
A.
Micah will obtain a random sample by talking to as many surfers as possible.
This statement is not necessarily true as Micah may not be able to talk to all the surfers at Breakers Point during the time frame mentioned. Additionally,
Randomly selecting surfers would result in a better representation of the population.
B.
The population for the survey is all people who surf at Breakers Point.
This statement is true, as the population of interest is the surfers at Breakers Point.
C.
Micah will not get a representative sample.
This statement is also true, as the survey is conducted only between 8:00 A.M. and 12 P.M, which may not be representative of all surfers at Breakers Point.
Additionally, there may be bias in the sample if Micah only surveys surfers at a certain location or time period.
D.
Micah's sample will be representative because anyone can surf at Breakers Point.
This statement is not necessarily true as not all surfers may surf at the same time or location, or have the same level of experience or preference for surfboard style.
Thus,
The population for the survey is all people who surf at Breakers Point and
Micah will not get representative sample statements are true.
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7. Construct a pie chart to depict the data given below:
Small
industries
Various fields
Employment Other
Agriculture
Transport
Power
Allocated
1200
1800
expenditure (in lakh)
3000
2400
1200
2400
Answers
aku gak tau apa Jawaban nya Jadi aku Minta maaf
The circumference of a circle is the around it?
Answers
Answer:
Yes
Step-by-step explanation:
Suppose that 62% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Give your answer as a decimal (to at least 3 places) or fraction
Answers
Answer:
0.62*0.62=0.3844
Step-by-step explanation:
Given that
y
= 8 cm and
θ
= 34°, work out
x
rounded to 1 DP.
Answers
Answer:
Step-by-step explanation:
if y is hypotonuse and x is opposite side:
sin 34=x/8
8*sin 34=x
x=4.47 (3 sf)
tell me in comment if i interpreted question wrong ._.
A council reviews the number of bedrooms in 40 houses located in the same area. The table shows the information gathered. Find the modal average number of bedrooms. Work out the mean number of bedrooms
Answers
Doing the mean, is the same as providing a weighted average of bedrooms, with the weights being the frequency a given number of bedrooms appears at. As such, I need to multiply each element of the first column with the respective element of the second column. For example, for 1 bedroom, I have 1 x5 = 5; for 2 bedrooms I have 2x10 =20; if we do this across all number of bedrooms, and then add it all up, we get 113. We then divide this 113, by the number of flats being surveyed ie 40. This gives an average (or mean) of 2.825
The modal average number of bedrooms is 3, while the mean number of bedrooms is 2.825.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
A.) The modal average number is a mode of a given data set. Now, if the mode of the given data is needed to be taken then we need to observe the row that has the highest frequency.
Therefore, the modal average number of bedrooms is 3.
B.) The mean number of bedrooms can be found as shown below.
Mean number of bedrooms = (1×5 + 2×10 + 3×15 + 4×7 + 5×3)/40
= (5 + 20 + 45 + 28 + 15)/40
= 113/40
= 2.825
Hence, the modal average number of bedrooms is 3, while the mean number of bedrooms is 2.825.
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please help me i really need my grade up
Answers
Answer: check out my music
Sometimes the best response is none at all
You probably would’ve left your m.ans, that ain’t one hundred, dawg
See nowadays, it’s like the fans doing the po.lice job
е
Step-by-step explanation:
Please mark as brainliest.
you spend $40 on 5 pounds of concrete what is the unit rate in dollars per pound?
Answers
Answer: $8
Step-by-step explanation:
$40 divided $5 by equals $8.
because 40 divided by 5 is 8
What is the y_intercept of the equation y=2x+5 (5 /3/2)
What is the slope of the equation y=2x+5
Answers
see the photo attached
Triangle ABC is similar to Triangle PQR what is the value of X in centimeters
Answers
Answer:
x=19.5cm
Step-by-step explanation:
15÷10= 1.5
13x1.5
=19.5cm
Find the product of (21.2)*(0.02)
Answers
Hope this helps.
Multiply 21.2 and 0.02 to get 0.424.
Kiemanh is solving the equation 15r-6r= 36. What is the value of r?
O 2
O 4
O 15
O 27
Answers
Answer:
4
Step-by-step explanation:
15r-6r=36
9r=36
r=36/9
r=4
What is the opposite of 17
Answers
Answer:
-17
Step-by-step explanation:
"the opposite of 17 is -17. You can figure this out by finding the negative version of 17, or the additive inverse of 17. Opposites, when added together, create a sum of 0."
Answer:
-17?
Step-by-step explanation:
Hope this is useful!
Have a nice day!
(-2, 3), (3, -2), (1, 3), (0, -2)
DOMAIN
RANGE
Answers
Answer:
(-2, 3) = domain -2 = range 3
(3, -2) = domain 3 = range -2
(1, 3), = domain 1 = range 3
(0, -2) = domain 0 = range -2
Step-by-step explanation:
Two bags of chips cost $1.50.
Will one bag cost more or less than $1.50?
Answers
Answer:
Less
Step-by-step explanation:
If 2 bags of chips cost $1.50, 1 bag of chip costs half that price.
how to find the rate of change of the inputs
Answers
Answer:
To find the average rate of change, we divide the change in the output value by the change in the input value.
Which expressions are equivalent to 7(3/4 x -3)?
Answers
ANSWERS TO 7-8 ASAP PLZZZ MARKINV BRAINLIEST
Answers
Answer:
7. B
8. D
Step-by-step explanation:
What is perimeter of the semi circle?
Answers
Answer:
54.22 mm
Step-by-step explanation:
Find the circumference of the circle and then divide it by 2.
We start with the formula for the circumference for the circle:
C = 2πr
To find r, divide 22 by 2:
22/2=11
Now find the cicumference:
C = 2πr = 2(3.14)(11) = 108.46 mm
NOW, to find the perimeter of the semicircle, divide the circumference by 2:
108.46/2 = 54.22 mm
hey what's
[tex]3 {}^{2} - 2 {}^{2} [/tex]
Answers
Answer:
5
Step-by-step explanation:
3² - 2² = 9 - 4 = 5
Answer:
5 is the answer
Step-by-step explanation:
hope it helps
Find the value of the trigonometric ratio Sin C
Answers
Answer:
20/29
Step-by-step explanation:
Sin is Opposite/Hypotenuse. The opposite leg is 20, and the hypotenuse is 29.
WHAT WOULD THIS BEE!
Answers
Why? The angle is alternate exterior angle making it even to the angle labeled 98
Answer:
98
Step-by-step explanation:
It would be the same amount because when the lines are parallel, the corresponding angles will also be the same.
We can tell the difference between the two types of angles (Supplementary and complementary) 98 and 82 would be the two types of angles.
So, the angle measure would be 98.
Find the volume of the cone. Use 3.14 for pi.
Answers
Answer:
V≈157.08
Step-by-step explanation:
I hope this helps
Tina makes 480 sandwiches. She only makes tuna sandwiches, beef sandwiches, ham sandwiches and cheese sandwiches
Answers
Answer:
she will have 120 each sandwich
Step-by-step explanation:
PLS HELP!! GIVING BRAINLIST!!
Michael uses a blend of dark chocolate and milk chocolate to make the ice cream topping at his restaurant. He needs to buy 100 kg of chocolate in total for his next order. Dark chocolate costs $12 per kilogram, milk chocolate costs $10 per kilogram, and he wants to spend $1120 total.
Let d be the number of kilograms of dark chocolate he buys and m be the number of kilograms of milk chocolate he buys.
Which system of equations represents this situation?
Answers
Answer:
d + m = 100
12d + 10m = 1120
Step-by-step explanation:
d = 60
m = 40
Answer: 60 kg dark chocolate, 40 kg milk chocolate
Step-by-step explanation:
Okie soooo
Let's name the variables (which they did for us lol)
d = kg of dark chocolate and m = kg of milk chocolate
He needs 100 kg of chocolate
d + m = 100
and he wants to spend 1120 when dark chocolate costs $12/kg and milk chocolate costs $10/kg
12d + 10m = 1120
Now we solve the system (I shall use elimination method)
Multiply the first equation my -10
-10(d + m) = (100)(-10)
which becomes
-10d - 10m = -1000
12d + 10m = 1120 (rewrite the second equation)
------------------------- (add the two equations together)
2d = 120
d = 60
now substitute d into either equation
60 + m = 100
m = 40
60 kg dark chocolate
40 kg milk chocolate
help please, what’s the answer to this?
Answers
What is a, the initial amount, for the function: f(x) = 300(1.16)*?
Answers
====================================================
Explanation:
One general template of exponential functions is
f(x) = a*(b)^x
The 'a' is the initial amount, which in this case is a = 300
----------------------
Extra info:
The b is the base of the exponential, which is b = 1.16
The value of b is helpful to determine if you have exponential growth or decay, and how much of either. Because b = 1.16 is greater than 1, it indicates exponential growth. The rate of growth is found by solving 1+r = 1.16 to get r = 0.16, which leads to 16% growth.
(8c+8)–(c+3)
answer-
Answers
Answer:
7c + 5
Step-by-step explanation:
(8c+8)–(c+3)
8c - c = 7c
8 - + 3 = 5
7c + 5
Answer:
7c+5
Step-by-step explanation:
(8c+8)-(c+3)
8c+8-c-3
8c-c+8-3
7c+8-3
7c+5
Please help!! Im being timed SEE BELOW!!
Answers
Answer:
The answer is
15=B
16=C
17=D
18=B
19=D
20=D
I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028
Write the SLOPE INTERCEPT FORM of the equation of the line parallel to y=23x+19 through the point (6, 2). First to answer correctly gets brainliest!
Answers
Answer:
y = 23x - 136
Step-by-step explanation:
Since the lines are parallel, they have the same slope. So, the slope of the new line is 23 as well.
Now we have: y = 23x + b
plug in the points that are on this line (6,2) :
2 = 23 x 6 + b
2 = 138 +b
-136 = b
Line: y = 23x - 136
