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
Given the measure of two of the angles, find the measure of the 3rd
Answers
Answer:
Measure of 3rd angle is 80 degrees
angle SAX - angle PAX = measure of 3rd angle (SAP)
hence 141 - 61 = 80 degrees
hence measure of 3rd angle is 80 degrees
GOOD LUCK FOR THE FUTURE! :)
Mr Tan monthly salary is $2999.52. In order to fill up a membership application form, mr Tan has yo roping off his monthly salary to the nearest dollar. What should he write on the application form for his monthly salary?
Answers
Answer:
three thousand dollars
Step-by-step explanation:
you round up to 3000
Can someone help me solve this (solution must contain a point (x,y).
Answers
Answer:(6,2)
Step-by-step explanation:
Photomath
Answer:
x=6
y=2
(x,y)=(6,2)
.................................
11111111111111111111111
Answers
Answer:
1) Zero based on (-16·t - 2) is t = -1/8 second
2) Zero based on (t - 1) is t = 1 second
Step-by-step explanation:
The given functions representing the height of the beach ball the child throws as a function of time are;
y = (-16·t - 2)·(t - 1) and y = -16·t² + 14·t + 2
We note that (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2
Therefore, the function representing the height of the beachball, 'y', is y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2
The zeros of a function are the values of the variables, 'x', of the function that makes the value of the function, f(x), equal to zero
In the function of the question, we have;
y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2
The above equation can be written as follows;
y = (-16·t - 2) × (t - 1)
Therefore, 'y' equals zero when either (-16·t - 2) = 0 or (t - 1) = 0
1) The zero based on (-16·t - 2) = 0, is given as follows;
(-16·t - 2) = 0
∴ t = 2/(-16) = -1/8
t = -1/8 second
The zero based on (-16·t - 2) is t = -1/8 second
2) The zero based on (t - 1) = 0, is given as follows;
(t - 1) = 0
∴ t = 1 second
The zero based on (t - 1) is t = 1 second
What is 5944.1 to the nearest 10
Answers
Answer:
if you mean to the tens place, then its 5,940
Step-by-step explanation:
Answer:
5940
Step-by-step explanation:
Justin is starting his own laundry business. Justin thinks he will do a better job than his competitors, so he thinks he can charge $15.16 per hour. If he knows he will only be able to work 50 hours per week, how much money will he earn each week?
Answers
Answer:
$758 per week
Step-by-step explanation:
15.16 x 50 = 758
Answer:$758 per week
Step-by-step explanation:Answer:15.16 x 50 = 758
a) 25.8
b) 36.8
c) 64.2
d) 42.0
Answers
Answer:
y = 25.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos y = adjacent/ hypotenuse
cos y = 18/20
Take the inverse cos of each side
cos ^-1 (cos y) = cos^-1(18/20)
y =25.84193276
Rounding to the nearest tenth
y = 25.8
the weight w of a steel frame is 9.2kg correct to 1 decimal place. complete the error interval for weight w
Answers
Answer:
9.5_<w<9.25
Step-by-step explanation:
percents and numbers
Answers
Answer:
16
Step-by-step explanation:
If 1/4 gallons of water are enough to fill 7/10 of the pool how much water is nessacary to fill in the entire pool
Answers
============================================================
Work Shown:
1/4 = 0.25
7/10 = 0.70 = 70%
We are told that 0.25 gallons of water fills 70% of the pool
We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.
Set up the proportion below and solve for x
(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)
0.25/70 = x/100
0.25*100 = 70x ....... cross multiply
25 = 70x
70x = 25
x = 25/70
x = (5*5)/(5*14)
x = 5/14 gallons
----------------------------------------
An alternate method:
1/4 gallons = 7/10 pools filled
(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)
(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled
10/28 gallons = 1 pool filled
(5*2)/(14*2) gallons = 1 pool filled
5/14 gallons = 1 pool filled
In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".
----------------------------------------
Yet another alternate method:
1/4 = 10/40
7/10 = 28/40
We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.
So we have this ratio
10 gallons : 28 pools
Dividing both parts by 28 tells us how many gallons are needed for one pool
10 gallons : 28 pools
10/28 gallons : 28/28 pools
10/28 gallons : 1 pool
5/14 gallons : 1 pool
pls help me !! will mark brainliest... i just need you to solve for m<1 and m<7 !! thanks !!
Answers
Step-by-step explanation:
=( n-2)180
= ( 4 - 2 )180
= 360
So, 144 + 90 + m<2 +m<1 = 360
144 + 90 + 85 + m<1 = 360
319 + m<1 = 360
m<1 = 360 - 319
m<1 = 41
their is an unknown angle so let's call it x
let's find x first ( m<6=49)
x + m<6 = 180
x + 49 = 180
x = 180 - 49
x = 131
Now let's find m<7
m<7 + 38 + m<4 + x = 360
m<7 + 38 + 85 + 131 = 360
m<7 + 254 = 360
m<7 = 360 - 254
m< 7 = 106
Help with math work please I am bad at math the question is on the image!!
Answers
In my knowledge
2 × 8 + 5 = 21
Hope it helps ;)
Selvi deposited RM8 000 in a fixed deposit
account with a simple interest of 3.5% per annum
for a term of a year. Calculate the amount of
Selvi's money at the end of the term.
Answers
Step-by-step explanation:
Hope it helped
Pls mark BRAINLIEST
HELP ASAPPPP USE THE PHOTOOOOO MARKING BRAINLIEST
Answers
(-3)(-3) - 3 = 9-3 = 6
I can do the others, but A is the only one with that first answer correct
What is the length of the hypotenuse to the nearest hundredth place in the diagram below
Answers
Answer:
Hypotenuse (x) = 7.27
Step-by-step explanation:
cos57*=4cm/x
cos57*/cos57*=4/cos57*
x=4/cos57*
cos57*~.55
x=4/.55
x=7.27
i need help i don understand i got b but it said it was wrong .
Answers
Answer:
b is 135 and c is 45.................thanks
Answer:
[tex]b=135\\c=45[/tex]
Step-by-step explanation:
The angle that measures 135 degrees and angle b are opposite angles. Opposite angles are congruent. Therefore, angle b=135.
[tex]b=135[/tex]
A straight line has an angle measure of 180 degrees. This means that 135+c would equal 180 degrees.
[tex]135+c=180[/tex]
Subtract both sides by 135
[tex]135+c-135=180-135\\c=45[/tex]
I hope this helps!
Please help me with trigonometry and law of sines I’m being timed and really need the help
Answers
Step-by-step explanation:
cosA = AC² + BC²- AB² / 2 • AC • BC
cos A = 13.5²+23.9²-12.7²/2• 13.5 • 23.9
A line that includes the point (6,-4) has a slope of -1/2 what’s the equation in slope intercept form
Answers
Answer:
The equation in the slope-intercept form will be:
[tex]\:y=-\frac{x}{2}-1[/tex]Step-by-step explanation:
Given
Point (6, -4)Slope m = -1/2Important Tip:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
[tex]m[/tex] represents the slope[tex]b[/tex] is the y-interceptIn our case,
(x, y) = (6, -4)m = -1/2Step 1 of 2
Determine the y-intercept b
substitute m = -1/2 and (x, y) = (6, -4) in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]-4\:=-\:\frac{1}{2}\left(6\right)+b[/tex]
switch sides
[tex]-\frac{1}{2}\left(6\right)+b=-4[/tex]
[tex]-3+b=-4[/tex]
Add 3 to both sides
[tex]-3+b+3=-4+3[/tex]
simplify
[tex]b=-1[/tex]
Thus, the y-intercept b = -1
Step 2 of 2
substitute the values
substitute b = -1 and m = 1/2 in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]y=-\frac{1}{2}x+\left(-1\right)[/tex]
[tex]\:y=-\frac{x}{2}-1[/tex]
Conclusion:
Therefore, the equation in the slope-intercept form will be:
[tex]\:y=-\frac{x}{2}-1[/tex]
The graph of the line equation is also attached.
In the figure below, mZ1 =(x+44) and mZ2=3xº.
Find the angle measures.
Answers
Answer:
where is the diagram? please provide the diagram.
evaluate f(.25) if f(x) = [[2x-1]]
Answers
Answer:
(-.5)
Step-by-step explanation:
Abigail's grandmother gave her a square shaped quilt that was made up of 256 small squares. How many squares are on each side of the quilt?
Answers
Answer:
64
Step-by-step explanation:
you divide 256 four times
PLEASE HELP ILL GIVE BRAINLIEST
Answers
Answer:
2/3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
which expressions are equivalent to 2 to the 6th power choose all that apply. please help
Answers
Answer:
2 * 2 * 2 * 2 * 2 * 2
4 * 16
8 * 8
Step-by-step explanation:
Power is the result of multiplying two numbers together. The correct option is 2×2×2×2×2×2, 4×16, and 8×8.
What is power?Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The given expression can be written as,
2⁶ = 2 × 2 × 2 × 2 × 2 × 2
= 4 × 16
= 8 × 8
Hence, the correct option are 2×2×2×2×2×2, 4×16, and 8×8.
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1. Jared has portrait in shape of a square. One side length, in inches, is the sum of 7 and L
Jamilah also has a portrait in shape of a square. The length of one side is 3 inches longer
than one side of Jared's portrait. What is one side length of Jamilah's portrait?
Answers
Answer:
7 + L + 3 = L + 10
Step-by-step explanation:
Turning off the water while brushing your Teeth saves 350 centilliters of water. How many liters of water can you save if you turn off the water the next 3 times you brush your teeth? (Round your answer to the nearest hundredth)
Answers
Answer:
1.1l
Step-by-step explanation:
350×3=1050cl
=1.05l
rounded to nearest hundredth=1.1l
2. 252 - 200 – 8 x 5 = 247
Insert parenthesis to make the answer true
Answers
The sum of 6 and y is greater than – 16.
Answers
Answer: 6+y < -16
Step-by-step explanation:
Please help me need ASAP
Answers
Answer:
3)Quadratic
Step-by-step explanation:
Brainliest?
need help on question 14 here, if multiple people respond i will give the first responder brainiest
Answers
Answer:
x = 3
y = 2
Step-by-step explanation:
5x - 3 = 6y
5x + 3 = 9y
y = 5/6 x - 1/2
5x + 3 = 15/2 x - 9/2
-5/2 x + 15/2 = 0
-5/2 (x - 3) = 0
x = 3
Answer:
x = 3
y = 2
Step-by-step explanation:
because it's a rectangle, opposite sides are equal
AD = BC
AB = DC
so we can use their measures to create a system of equations:
5x + 3 = 9y
5x - 3 = 6y
if we multiply the first equation by -1 we can eliminate the x-values:
-(5x + 3 = 9y)
-5x - 3 = -9y
+ 5x - 3 = 6y
-6 = -3y
y = 2
If y = 2 then BC = 12 and we can set up this equation:
12 = 5x - 3
15 = 5x
3 = x
What are the coordinates of A(8,-1) after a rotation of 180° about the origin