Answer:
Original position: base is 1.5 meters away from the wall and the vertical distance from the top end to the ground let it be y and length of the ladder be L.
Step-by-step explanation:
By pythagorean theorem, L^2=y^2+(1.5)^2=y^2+2.25 Eq1.
Final position: base is 2 meters away, and the vertical distance from top end to the ground is y - 0.25 because it falls down the wall 0.25 meters and length of the ladder is also L.
By pythagorean theorem, L^2=(y -0.25)^2+(2)^2=y^2–0.5y+ 0.0625+4=y^2–0.5y+4.0625 Eq 2.
Equating both Eq 1 and Eq 2: y^2+2.25=y^2–0.5y+4.0625
y^2-y^2+0.5y+2.25–4.0625=0
0.5y- 1.8125=0
0.5y=1.8125
y=1.8125/0.5= 3.625
Using Eq 1: L^2=(3.625)^2+2.25=15.390625, L=(15.390625)^1/2= 3.92 meters length of ladder
Using Eq 2: L^2=(3.625)^2–0.5(3.625)+4.0625
L^2=13.140625–0.90625+4.0615=15.390625
L= (15.390625)^1/2= 3.92 meters length of ladder
hope it helps...
correct me if I'm wrong...
Write an expression for each statement: A truck has a total of a pounds of fruit which were packed in n boxes. How many pounds of fruit are in each box?
Answer:
The answer is "[tex]\text{Total number of boxes} =\frac{a}{n \ boxes}[/tex]"
Step-by-step explanation:
Total pounds carried by the vehicle are "a" pounds.
This will be spread into many boxes, each containing "n" pounds.
It implies that:
[tex]\text{Total pounds = box number} \times \text{amount of pounds from every box} \\\\a = \text{box number} \times n\\\\\text{Box number} = \frac{a}{n \ boxes}[/tex]
PLEASE HELP!!! I dont understand :(
Hello,
In all reply x²'s coefficient is 1.
The polynom will be (x+i)(x-5)= x²+ix -5x-5i
Answer C
2 fewer than the quotient of a and 5
2 fewer than the quotient of a and 5
(x/5)-2
#CarryOnLearningA rectangle ABCD is in scribed in a circle and E is a point on the circumference of the circle.Given that AE^2+BE^2+CE^2+DE^2=200 and the area of the circle is k pi ,find k
Answer:
Rectangle ABCD is a square. ... Last edited by Bunuel on Feb 24, 2018 7:34 am, edited 2 times in total. ... No values are given. ... since the radius is half the diamter you get 5* area of
What is the domain of f(x)=(1/4)^
c ans
...................
Find the area of the trapezoid
Answer:
112
Step-by-step explanation:
add both bases the multiply by the height
Answer:
112
13 + 15
= 28 ÷ 2
= 14 × 8
= 112
I NEED HELP SOMEONE HELP ME OUTTTT!!!
Answer:
Tan A = [tex]\frac{21}{35}[/tex] = [tex]\frac{3}{5}[/tex] = .6
Step-by-step explanation:
SOH CAH TOA
Sin Ф = [tex]\frac{O}{H}[/tex]
Cos Ф = [tex]\frac{A}{H}[/tex]
Tan Ф = [tex]\frac{O}{A}[/tex]
4 ounces of cooked sausage per person - once the raw sausage is cooked it yields 50%. How many pounds of raw sausage is needed to feed 50 people
MNPQ is a rectangle. Find the measure of <1 and <2
Answer: ∠1 = 48°, ∠2 = 42°
Step-by-step explanation:
Because it's a rectangle, NP and MQ are parallel lines. ∠2 and (3x)° are alternate interior angles and are therefore equal. NM and PQ are also parallel lines. ∠1 is equal to (2x + 20)° because they're also alternate interior angles.∠M = 90° = ∠1 + (3x)° = (2x + 20)° + (3x)°
2x + 20 + 3x = 90
2x + 3x = 90 - 20
5x = 70
x = 14
Because ∠1 = (2x + 20)°,∠1 = 2x + 20 = 2(14) + 20 = 28 + 20 = 48°
Because ∠2 = (3x)°,∠2 = 3x = 3(14) = 42°
(I hope this is right :\)
What is the radius of the circle: (x+1)^2+(y-12)^2=25
1. (-1, 12)
2. 5
3. 25
4. (1, -12)
Answer:
radius = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here r² = 25 ( take the square root of both sides )
r = [tex]\sqrt{25}[/tex] = 5
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If a function is continuous at a point, then it is differentiable at that point.
Answer:
See Explanation
Step-by-step explanation:
If a Function is differentiable at a point c, it is also continuous at that point.
but be careful, to not assume that the inverse statement is true if a fuction is Continuous it doest not mean it is necessarily differentiable, it must satisfy the two conditions.
the function must have one and only one tangent at x=cthe fore mentioned tangent cannot be a vertical line.And
If function is differentiable at a point x, then function must also be continuous at x. but The converse does not hold, a continuous function need not be differentiable.
For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.Glass bottles are worth 10 cents and aluminum cans are worth 5 cents. If Joe returns 12 glass bottles and 48 aluminum cans, how much money will he receive?
$1.20
$3.60
$2.40
$4.80
Answer: The answer is 3.60 dollars.
Step-by-step explanation:
1 bottle = 10 cents
12 bottles = 120 cents
100 cents = 1 dollar
1 cent = 1/100
120 = 1/100 * 120 = 1.2 dollars
now
1 aluminium can = 5 cents
48 cans = 5*48 = 240 cents
240 cents = 1/100 * 240 = 2.4 dollars
so total = (1.2+2.4) dollars
= 3.6 dollars
Help pleaseeeee
Asappp
Answer:
Rs. 2400
Step-by-step explanation:
.25(x -.1x) = 540
(x -.1x) = 2160
(.9x) = 2160
x = 2400
Step-by-step explanation:
hope this helps you 830.77
(2.5, 1.3, 2.2, x), mean = 1.8
Answer:
please mark me a brainliest
[tex] \frac{2.5 + 1.3 + 2.2 + x}{4} = 1.8[/tex]
[tex] \frac{6 + x}{4} = 1.8[/tex]
6 + X = 1.8 * 4
6 + X = 7.2
X = 7.2 - 6
X = 1.2
So therefore the value of X is 1.2
Step-by-step explanation:
Have a good day
Have a good day And I hope this will help
A rectangular sheet of paper is 12 1/2 cm long and 10 2/3 cm wide.Find it's perimeter
I don't understand this xan somone help me
Answer:
f= h/G
Step-by-step explanation:
The question is asking you to solve for f, or derive an equation of f in terms of h and G. The simplest way to solve for f is to isolate it from other variables.
h=fG
Now divide both sides by G
h/G=f
And there you go you solved for f.
Is (-2,-4) a solution of the graphed inequality?
Choose 1 answer:
Yes
No
Answer:
Yes
General Formulas and Concepts:
Algebra I
Reading a coordinate graphCoordinates (x, y)Solving inequalitiesStep-by-step explanation:
When we plot (-2, -4) onto the graph, we can envision that the point is within the shaded region of the graphed line.
∴ (-2, -4) would be a solution.
1) Give 5 examples of a difference of two perfect squares
2) Give the factors of your examples
3) What do you call the factors of a difference of two perfect squares?
please help me
ᴀɴsᴡᴇʀ:
1.Example, x²-25 can be factored as (x+5)(x-5).
2.This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).
3.When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5).
ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs!
☞︎︎︎ᴄᴀʀʀʏ ᴏɴ ʟᴇᴀʀɴɪɴɢ☜︎︎︎
The difference of a number and seven is twelve
Write an equation to represent the sentence
Answer:19 You can use addition 12+7=19 19-7=12
Shelly believes the honor roll students at her school have an unfair advantage in being assigned to the math class they request. She asked 500 students at her school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?" The results are shown in the table below:
Honor Roll - Not on Honor Role - Total
Received Math Class Requested 125 215 340
Didn't Get Math Class Requested 80 80 160
Total 205 295 500
Help Shelly determine if all students at her school have an equal opportunity to get into the math class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.
Answer:
I believe this would be the answer?
Step-by-step explanation:
{2, 3, 4, 6, 8, 9, 10, 12}
HELP ME !
Please!
Which of the following tables represents a function?
Z Is An Even Integar Greater Than 30 And Less Than Or Equal To 34.
Answer:
34 is greater than or equal to z which is greater than or equal to 30
Georgia bought a pair of flip-flops that cost $3.46 and a pair of slip-on shoes that cost $9.87.
She paid a total of $ for the two pairs of shoes.
Answer: The cost for the two pairs of shoes is $13.33
Step-by-step explanation:
Since we have given that
Cost of pair of flip flops = $3.46
Cost of pair of slip on shoes = $9.87
We need to find the cost of two pairs of shoes.
Cost of two pairs of shoes = Cost of pair of flip flops + Cost of pair of slip on shoes
[tex]cost=3.46+9.87=13.33[/tex]
the cost for the two pairs of shoes is $13.33.
Please help, im confused ;w;
Answer:
[tex]x=7\text{ and } m\angle KLM = 34^\circ[/tex]
Step-by-step explanation:
We are given ethat KM and JN are parallel.
And we want to find the value of x.
Notice that ∠JKM and ∠LKM form a linear pair. Linear pairs total 180°. Therefore:
[tex]m\angle JKM + m\angle LKM = 180[/tex]
We know that ∠JKM measures (14x + 8). Substitute:
[tex](14x+8)+m\angle LKM =180[/tex]
Solve for ∠LKM:
[tex]m\angle LKM = 172-14x[/tex]
Next, since KM and JN are parallel, by the Corresponding Angles Theorem:
[tex]\angle JNM \cong \angle KML[/tex]
Since we know that ∠JNM measure (10x + 2), we can conclude that:
[tex]m\angle KML = 10x+2[/tex]
Next, recall that the three interior angles of a triangle must total 180°. Therefore:
[tex]m\angle KLM + m\angle LKM + m\angle KML = 180[/tex]
Substitute:
[tex](5x-1)+(172-14x)+(10x+2)=180[/tex]
Solve for x. Rewrite:
[tex](5x-14x+10x)+(-1+172+2)=180[/tex]
Combine like terms:
[tex](1x)+(173)=180[/tex]
Therefore:
[tex]x=7[/tex]
To find ∠KLM, substitute in 7 for x and evaluate. So:
[tex]m\angle KLM = 5(7) - 1 =34^\circ[/tex]
Easy Question Will give brainliest to correct answer!!!!!
How many months have 28 days?
Answer:
1
Step-by-step explanation:
February is the only month that has 28 days
Answer:
[tex]12 \: months \: have \: 28 \: days \\ thank \: you[/tex]
Multiply and reduce to lowest form and convert into a mixed fraction:
a) 15 x 3/5
b) 4 x 1/3
c) 5/2 x 6
Answer:
a) 9
b)
[tex]1 \frac{1}{3} [/tex]
c) 15
Step-by-step explanation:
The first step is to cancel out the fraction's denominator if possible.
a)
[tex]15 \times \frac{3}{5} [/tex]
We can cancel the 5 out since 15 divided by 5 is 3. The answer that comes out is
[tex]3 \times \frac{3}{1} [/tex]
Since 3/1 is 3, we can now simplify the values:
[tex]3 \times 3 = 9[/tex]
b)
[tex]4 \times \frac{1}{3} [/tex]
4 is indivisible by three and gives a non-whole value. This is not what we need here.
Instead we should do the division rule and find the remainder.
In this case, 4 divided by 3 gives 1 with a remainder of 1.
[tex]4 \times \frac{1}{3} = \frac{4}{3} [/tex]
After we simplify the non-mixed fraction, we have to change it into a mixed fraction, which consists of a whole number and a fraction. We can split it into the following:
[tex] \frac{4}{3} = 1r1[/tex]
The r1 is just the remainder of the fraction. Since we cannot remove 1 from the remainder, we add it back into the fraction's denominator of 3. This gives:
[tex] \frac{4}{3} = 1 + \frac{1}{3} = 1 \frac{1}{3} [/tex]
c)
[tex] \frac{5}{2} \times 6[/tex]
For this part, we can cancel out 2 since 6 is divisible by 2. This gives:
[tex] \frac{5}{1} \times 3[/tex]
Since 5/1 is 5,
we can now solve part c:
[tex]5 \times 3 = 15[/tex]
What is the radius of the circle: x^2+y^2=4
1. (0, -4)
2. (0, 4)
3. (2, -4)
4. (0, 0)
Answer:
radius = 2
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius )
x² + y² = 4 ← is in this form
with r² = 4 ⇒ r = [tex]\sqrt{4}[/tex] = 2
centre (0, 0 ) and radius = 2
the vector a,b and c are given as a=2i+3j-4k. b =5i+3j+7k. c =6i+2j-k
find 1)a-2b+4c
2)5a+2b-c
5. A monument casts a 78 ft. shadow at the same time that a vertical yardstick casts a 4.5 ft. shadow. How high is the monument?
Hello,
Using Thalès 's theorem:
Let's h the height of the monument.
[tex]\dfrac{1}{h} =\dfrac{4.5}{78} \\\\h=\dfrac{78}{4.5} =\dfrac{156}{9} \approx{17.3\ (ft)}[/tex]
If you don't know what is the Thalès's theorem,
imagine that the similar triangles.
the solution of the quadratic equation x square - 4 x + 4
Answer:
[tex]\rm x = 2 , 2 [/tex]
Step-by-step explanation:
A quadratic equation is given to us and we need to find the solution of the equation. The given equation is ,
[tex]\implies x^2 -4x + 4 = 0 [/tex]
Now for finding the roots of the equation , let's use the quadratic formula , or by factorising out the equation . Here I would be using the factorization method , as ,
[tex]\implies x^2 -4x + 4 = 0\\\\\implies x^2-2x-2x+4 = 0 \\\\\implies x(x-2) -2(x-2) = 0 \\\\\implies (x-2)(x-2) = 0 \\\\\implies x = 2, 2 [/tex]
Hence the Solution of the equation is 2,2.
Answer:
Step-by-step explanation:
x² - 4x +4 = 0
Factorization method:
Sum = -4
Product = 4
Factor = (-2) ; (-2) {-2 * -2 = 4 & (-2) + (-2) = -4}
x² -4x + 4 = 0
x² - 2x - 2x + (-2)*(-2) = 0
x(x - 2) - 2 (x - 2) = 0
(x - 2) (x - 2) = 0
x - 2 = 0 or x -2 = 0
x = 2 or x = 2
x = 2 , 2