A 2.8 m ladder is to be laid against a wall so that the top of the ladder is 2 m up the wall. How far out from the base of the wall should the ladder be placed?
Given :
A 2.8 m ladder is to be laid against a wall so that the top of the ladder is 2 m up the wall.
To Find :
How far out from the base of the wall should the ladder be placed.
Solution :
We know, the angle between floor and height is 90° .
Now, length of ladder, l = 2.8 m .
Height of wall, h = 2 m .
Let, distance between base of the wall and ladder is b .
[tex]l^2 = h^2 + b^2\\\\b = \sqrt{l^2 - h^2}\\\\b = \sqrt{2.8^2 - 2^2}\ m\\\\b = 1.96 \ m[/tex]
Hence, this is the required solution.
PLEASE HELP! What is the value of x in the figure?
Options:
A. 37B. 60 C. 160D. 2372
Answer:
Yo, the answer would be 37 which is A. Cheers
Step-by-step explanation:
The sides are equal to one another
This means 4x+2=180
4x+2=180
-2 -2
4x=148
/4
x=37
Answer:
Hello! answer: x = 37
These are vertical angles so they will both equal the same so we just have to figure out what multiplied by 4 + 2 = 150 and 4 × 37 = 148 and 148 + 2 = 150 so x = 37 Hope that helps!
HELPPPPPPP on this question.! I need to pass.
9514 1404 393
Answer:
12.25 (or -18.75)
Step-by-step explanation:
If you pay attention to the square of a binomial, ...
(x -a)² = x² -2ax +a²
You see that the constant (a²) is the square of half the x-coefficient. That is, the x-coefficient is -2a, half that is -a, and the square of that is (-a)² = a².
In your equation, the x-coefficient is -7, half that is -3.5, and the square of that is 3.5² = 12.25.
So, you can think of this ambiguous question in a couple of ways.
Concern is only with the x-terms:
x² -7x +31 = (x² -7x +12.25) +31 = 12.25 . . . . . . add 12.25 to both sides
(x -3.5)² +31 = 12.25 . . . . write the x-terms as a square
Concern with the equation overall:
You want the end result to have the x-terms in the form of the square ...
(x -3.5)² = x -7x +12.25
The left side of the equation can be put in that form by adding -18.75 to both sides;
x² -7x +31 -18.75 = -18.75 . . . . . . add -18.75 to both sides
x² -7x +12.25 = -18.75 . . . . . . . . . simplify
(x -3.5)² = -18.75 . . . . . . write the left side as a square
__
The short of it is that we're not sure what the question is asking for exactly. The "help video" would probably clarify the intent. Most likely, you're concerned with adding the square of half the x-coefficient, 12.25.
HELP WILL BE APPRECIATED
Answer:
sin 60 =√3/2 = 0.8660
Step-by-step explanation:
sin 60 = opposite/hypotenuse
sin 60 = x√3/2x
sin 60 = √3/2 since x cut x
sin 60 = 0.8660 or √3/2
Given that the function graphed is f(x), what is f (4)?
A) -2
B) -4
C) -6
D) -8
PLEASE ANSWER QUICKLY THANK YOUUUU
Answer:
D) - 8
Step-by-step explanation:
If the function graphed is the right function and the question is asking for f(4), this means the question is just asking for the y value when x is equal to 4. Looking at the graph, we can see this is -8.
Select all values equivalent to -10/7
A. -10/-7
B. -3 1/7
C. -10
- _
-7
D. 1 3/7
E. -1 3/7
Answer:
A)-10/-7 I hope the answer is correct . I will be happy when I get 5 points
Determine if lines AB and CD are parallel, perpendicular, or neither. A(5,-8), B(-2,-10), C(-6,-13), D(-2,1)
Answer: The answer is neither because the slopes are 2/7 and 7/2.
Step-by-step explanation:
While these answers look like they are perpendicular, they are not since the signs are the same. If they were perpendicular the signs would be different. Ex: 2/7 and -7/2. These points are perpendicular since their signs changes as well as being "flipped".
:)
Fill in the blank:
The golden ratio is also sometimes expressed as the______.
a.
golden median
c.
golden mean
b.
golden circle
d.
golden triangle
Answer:
c. golden mean
Which table shows the same relationship as y = -x^2 + 3x?
Answer:
H
Step-by-step explanation:
given y = -x² + 3x.
let f(x) be y.
f(-2) = -(-2)² + 3(-2) = -10
f(-1) = -(-1)² + 3(-1) = -4
f(0) = -(0)² + 3(0) = 0
f(1) = -(1)² + 3(1) = 2
f(2) = -(2)² + 3(2) = 2
Which of the following values is a zero of
f(x)=3x^4 +8x² + 4x^2 ?
A. 2/3
B. 3/2
C. -2
D. 3
E. -3
A family is having a pool party built in their backyard. If the Yard is rectangular and measures 10x by 10x in the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built. Write your answer in factored form
1. (100-4pi)x^2
2. 100x^2-4pi(x)^2
3. (100+4pi)x^2
4. 100x^2+4pi(x)^2
Literally have the same question on my test and i dont know if i got it right or wrong. I know it has nothing to do with this :/ im sorry.
Brandon is picking songs to play during a slideshow. The songs are each 2)
minutes long. The slideshow is 32, minutes long. How many songs will play in the
slideshow?
12 songs
13 songs
32 songs
10 songs
0.002191 in scientific notation
Answer:
2.191 · [tex]10^{-3}[/tex]
Step-by-step explanation:
0.002191
2.191 · [tex]10^{-3}[/tex]
Write an equation that shows how much money they would make (y) if
they worked x hours with an hourly rate of $10
Your answer
Answer:
y=10x
Step-by-step explanation:
10 is the slope or the rate of change.
Answer:
y = 10x
Step-by-step explanation:
y is your total, 10 is your amount per hour, you multiply the hourly rate by the number of hours.
Helpppppppppppppppp!
What is the name of the shape graphed by the function theta = -pi/6?
A.Line
B.Lemniscate
C.Limacon with inner loop
D. Circle
Answer:
D. Line
Step-by-step explanation:
If there are equals -pi/6 and nothing else then it’s going to be a line.
The shape graphed by the function Ф = [tex]\frac{-\pi }{6}[/tex] is a line .
What is graphed by function means?The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.
What is constant function?A constant function is a function whose value is the same for every input value. For example, the function y(x) = 4 is a constant function because the value of y(x) is 4 regardless of the input value x. The graph of the constant function y = c is a horizontal line in the plane that passes through the point (0, c).
According to the question
The name of the shape graphed by the function
Ф = [tex]\frac{-\pi }{6}[/tex]
As we can see that Ф is a constant function
and per definition of constant function :
A constant function is a function whose value is the same for every input value and the graph of the constant function y = c is a horizontal line in the plane that passes through the point (0, c).
i.e
graphed by the function
Ф = [tex]\frac{-\pi }{6}[/tex]
will be a horizontal line which passes through point (0, [tex]\frac{-\pi }{6}[/tex] )
Hence, the shape graphed by the function Ф = [tex]\frac{-\pi }{6}[/tex] is a line .
To know more about graph of a function here:
https://brainly.com/question/27757761
#SPJ2
BEEN STUCK FOR A WHILE PLEASE HELP!! Find the perimeter and area for the triangle. Be sure to write the formula, and use correct measure.
Answer:
Area = 77ft²
Perimeter = 44 9/20 feets feets
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Base = 19 1/4 feets = 77/4 feets
Height = 8 feets
Area = 1/2 * 77/4 * 8
Area = (77 * 8) / 8
Area = 77 feet²
Perimeter of a triangle :
Sum of the sides
Perimeter = a + b + c
Perimeter = 19 1/4 + 10 + 15 1/5
Perimeter = 44 + (1/4 + 1/5)
Perimeter = 44 9/20 feets
A father has four sons, with heights of 68, 71, 72, and 75 inches. Determine the sampling distribution of
the sample mean height and the sampling distribution of the sample range of height for samples of
size n= 2.
The sampling distribution of the sample mean height and the sampling distribution of the sample range of height are 71.5 inches and 7 inches.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
Heights: 68, 71, 72, and 75 inches
Now,
Mean height.
= (68 + 71 + 72 + 75) / 4
= 286/4
= 71.5 inches
Sample range.
= Highest height - Lowest height
= 75 - 68
= 7 inches
Thus,
The mean height is 71.5 inches.
The sample range of height is 7 inches.
Learn more about mean here:
https://brainly.com/question/23263573
#SPJ2
What is 26 × 43 - 12=
Answer:
1106
Step-by-step explanation:
PEMDAS [the order of operations]
M[ultiplication] comes before S[ubtraction], so we should multiply first:
26 × 43 = 1118
Now, we can subtract:
1118 - 12 = 1106
you can write this equation as:
(26 × 43) - 12
if that makes more sense to you
hope this helps!! :)
n/5 + 7 < 5
I need help please!
Let's solve your inequality step-by-step.
n/ 5 + 7 < 5
Step 1: Simplify both sides of the inequality.
1/5n + 7 < 5
Step 2: Subtract 7 from both sides.
1/5n + 7 −7 < 5 − 7
1/5n < − 2
Step 3: Multiply both sides by 5.
5*(1/5n) < (5)*(−2)
n < − 10
Answer:
n < − 10
HELP PLEASE :(... I will give brainliest:)
Answer:
your just putting the numbers at the bottom into the line plot . so let's say there is 333 u would up the three 3 on the plot .
Step-by-step explanation:
hope this helps let me know if u need a better explanation
Two cars start at the same time, but travel in opposite directions. One car's average speed is 20 miles per hour (mph). At the end of 2 hours, the two cars are 120 miles apart. Find the
average speed in mph of the other car. (Enter an exact number.)
help
X mph
Need Help?
Read it
Answer:
The first car's speed is 40 mph. 2 hours at that rate equals 80 miles. So:
140-80=60
60 miles/2 hours=30 mph as the rate of the second car.
Step-by-step explanation:
Evaluate the expression when
a = 0.3
b = 0.5
c = 0.25
Answer:
See The Image Below:)
Step-by-step explanation:
BRAINLIEST IF YOUR CORRECT PLEASE HELP HURRY!
The admission fee at an amusement park is $3.50 for children and 13.00 for adults. On a certain day, 288 people entered the park, and the admission fees collected totaled $2,338.00. How many children and how many adults were admitted?
There were ___ children and ____ adults admitted into the park
Answer:
148 children and 140 adults were admitted.
Step-by-step explanation:
Given that the admission fee at an amusement park is $ 3.50 for children and $ 13.00 for adults and on a certain day, 288 people entered the park, and the admission fees collected totaled $ 2,338.00, to determine how many children and how many adults were admitted you must be perform the following calculation:
13 - 3.5 = 9.50
288 x 3.50 = X
1.008 = X
2338 - 1008 = 1330
1330 / 9.5 = 140
288 - 140 = 148
148 x 3.5 + 140 x 13 = X
2338 = X
Therefore, 148 children and 140 adults were admitted.
Question
Translate and solve: Twelve less than x is equal to 51. Enter the equation
Answer:
x = 63
Step-by-step explanation:
From the question, we can deduce the following points;
- 12 less than x which simply means 12 subtracted from x.
- the value of the above expression is equal to 51.
Translating the word problem into an algebraic expression, we have;
x - 12 = 51
Rearranging the equation (collecting like terms), we have;
x = 51 + 12
x = 63
plz help????????????
Answer:
b.
Step-by-step explanation:
Parallel lines have the same slope.
question 13 helllppp pllllz alomost done
The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. The hours studied follows the normal distribution with a population standard deviation of six hours. Suppose we select a random sample of 150 current students. What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours
Answer:
0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 20 hours, standard deviation of 6:
This means that [tex]\mu = 20, \sigma = 6[/tex]
Sample of 150:
This means that [tex]n = 150, s = \frac{6}{\sqrt{150}}[/tex]
What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours?
This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.5. So
X = 21
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{21 - 20}{\frac{6}{\sqrt{150}}}[/tex]
[tex]Z = 2.04[/tex]
[tex]Z = 2.04[/tex] has a p-value of 0.9793
X = 19.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{19.5 - 20}{\frac{6}{\sqrt{150}}}[/tex]
[tex]Z = -1.02[/tex]
[tex]Z = -1.02[/tex] has a p-value of 0.1539
0.9793 - 0.1539 = 0.8254
0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours
A 15 foot ladder leans against the side of a house. The bottom of the ladder is 6 feet away from the side of the house. Find , the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.
Answer: [tex]66.42^{\circ}[/tex]
Step-by-step explanation:
Given
Length of the ladder is [tex]L=15\ ft[/tex]
Bottom of the ladder is [tex]6\ ft[/tex] away from the side of the house.
Suppose, ladder is leaning against the wall with angle of elevation [tex]\theta[/tex]
from the figure, we can write
[tex]\Rightarrow \cos \theta=\dfrac{6}{15}\\\\\Rightarrow \cos \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=66.42^{\circ}[/tex]
Thus, the angle of elevation is [tex]66.42^{\circ}[/tex]
Which ratio is equivalent to? 4:5
Answer:16:20
Step-by-step explanation: