Answers
Answer:
25
Step-by-step explanation:
20^2 + 15^ = c^2
400 + 225 = c^2
625 = c^2
25 = c
Answer: The length of the ladder is 25 feet.
Related Questions
solve for A and line AB
Answers
Answer:
a = 22
AB = 50
Step-by-step explanation:
[tex]a-5=17[/tex]
[tex]a=17+5[/tex]
[tex]a=22[/tex]
Line AB=2a+6
[tex]2(22)+6=44+6=50[/tex]
[tex]AB=50[/tex]
Hope this helps
Find the value of x.
Answers
Answer:
Value of [tex]x=-12[/tex]
Step-by-step explanation:
The given triangle is isosceles
Here
[tex]m\angle2+m\angle2+36^0=180^0\\\\2m\angle2=144^0\\\\m\angle2=72^0\\\\x+84=72\\\\x=72-84\\\\=-12[/tex]
[tex]m∠2+m∠2+36⁰= 180°[/tex]
[tex]2m∠2 = 144°[/tex]
[tex]m∠2 = 72⁰[/tex]
[tex]x +84 = 72[/tex]
[tex]x = 72 - 84[/tex]
[tex]x= -12[/tex]
What is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?
Answers
Answer:
y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Calculate the slope of line m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line
m = [tex]\frac{-3-2}{0-(-2)}[/tex] = [tex]\frac{-5}{0+2}[/tex] = - [tex]\frac{5}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{2} }[/tex] = [tex]\frac{2}{5}[/tex] , then
y = [tex]\frac{2}{5}[/tex] x + c ← is the partial equation in slope- intercept form
To find c substitute (3, 2 ) into the partial equation
2 = [tex]\frac{6}{5}[/tex] + c ⇒ c = 2 - [tex]\frac{6}{5}[/tex] = [tex]\frac{4}{5}[/tex]
y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex] ← equation of perpendicular line
If one of the roots of the equation x² – 4x + k = 0 exceeds the other by 2, then find the roots and determine the value of k.
Answers
Step-by-step explanation:
the solutions for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = k
x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)
x1 = 2 + sqrt(4 - k)
x2 = 2 - sqrt (4 - k)
x1 = 2 + x2
2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)
2×sqrt(4 - k) = 2
sqrt(4 - k) = 1
4 - k = 1
k = 4 - 1 = 3
x1 = 3
x2 = 1
Answer:
The roots are 1 and 3.
k = 3.
Step- by-step explanation:
We use the facts that if α and β are the roots of ax^2 + bx + c = o then α+ β = -b/a and α β = c/a.
The roots are written as α and α+2, then:
α + α + 2 = -(-4)
2α + 2 = 4
α + 1 = 2
α = 1
also
α (α + 2) = k
Substituting for α:
1(1 + 2) = k
k = 3.
The roots are 1 and 1 + 2 = 3.
please show work
10. If the area of a parallelogram is 690.84 m2 and the height is 20.2 m, what is the length of the base?
Answers
Answer:
34.2 m
Step-by-step explanation:
We know that
Area of parallelogram = Base × Height
690.84 = B × 20.2
690.84/20.2 = B
34.2 = B
Hence,
Base of parallelogram is 34.2 m
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
Here we've been given:
Area of parallelogram (A) = 690.84 m²Height (H) = 20.2 m Length of base (B) = ?[tex]:\longrightarrow\tt{Area \: of \: parallelogram = Base \times Height} \\ \\ :\longrightarrow\tt{690.84 = B \times 20.2} \\ \\ :\longrightarrow\tt{ \frac{690.84}{20.2} = B} \\ \\ :\longrightarrow\tt{34.2 = B} \\ \\ :\longrightarrow\tt{B = 34.2 \: m}[/tex]
The length of base is 34.2m.an auto dealership got a new shipment of 33 cars. Of these, two are red , 6-cylinder 4 door sedans; one is a red 4-door, but not a 6-cylinder sedan. There are four 6-cylinder 4-door sedans that are not red, and three red 6-cylinder sedans that are not 4-door sedans. Altogether, 19 of the 33 cars are 6-cylinder sedans and 12 of the 33 are 4-door sedans. How many of the 33 cars are red but neither 6-cylinder nor 4-door sedans?
Answers
Answer:
2
Step-by-step explanation:
If you take 19 6-cylinder sedans and add 12 4-door sedans you get 31, therefore making 2 red and neither 6-cylinder nor 4-door sedans. Hope this helps!
10. Given m and b, write the equation of the line:
m= -4; b = 2
Answers
Answer:
y = -4x + 2
Step-by-step explanation:
Olivia and her friends went to the movies with $45 to spend. She bought popcorn for $6.75 and paid
$9.25 for each movie ticket for her and her friends. What was the greatest number of movie tickets Olivia
could have bought?
A. 3
B. 4
C. 5
D. 6
Answers
Answer:
5 tickets
Step-by-step explanation:
45 - 6.75 = 37.35
37.35 ÷ 4 = 9.3375
So, she still has enougg for one more ticket. 4 + 1 is 5. 5 tickets
Question 17 of 25
Solve |3x + 3| = 21.
A. C= –6 and x = 8
B. X = 6 and x = -8
C. X= -6 and x=-8
D. X= 6 and x = -
-6
Answers
Answer:
D. 1.25. 30 31 - 35. Convert the answer into a mixed number by dividing ... 8.7 6 5. 4.235. Subtract the two numbers. B. 4.235. 14) V81. 8) 0.2 * 0.3 * 0.4.
Step-by-step explanation:
A sector of a circle makes a 127° angle at its centre. If the arc of the sector has length 36 mm, find
the perimeter of the sector.
Answers
Answer:
Approximately [tex]68.5\; \rm mm[/tex].
Step-by-step explanation:
Convert the angle of this sector to radians:
[tex]\begin{aligned}\theta &= 127^{\circ} \\ &= 127^{\circ} \times \frac{2\pi}{360^{\circ}} \\ &\approx 2.22\end{aligned}[/tex].
The formula [tex]s = r\, \theta[/tex] relates the arc length [tex]s[/tex] of a sector of angle [tex]\theta[/tex] (in radians) to the radius [tex]r[/tex] of this sector.
In this question, it is given that the arc length of this sector is [tex]s = 36\; \rm mm[/tex]. It was found that [tex]\theta = 2.22[/tex] radians. Rearrange the equation [tex]s = r\, \theta[/tex] to find the radius [tex]r[/tex] of this sector:
[tex]\begin{aligned} r&= \frac{s}{\theta} \\ &\approx \frac{36\; \rm mm}{2.22} \\ &\approx 16.2\; \rm mm\end{aligned}[/tex].
The perimeter of this sector would be:
[tex]\begin{aligned}& 2\, r + s \\ =\; & 2 \times 16.2\; {\rm mm} + 36\; {\rm mm} \\ =\; & 68.5\; \rm mm\end{aligned}[/tex].
3/5 x (1/5 + 4/5) What is the answer
Answers
Answer:
The answer is 0.6
Step-by-step explanation:
Using BIDMAS or BODMAS, whatever you are taught, we must work out everything inside the brackets first.
So 1/5 + 4/5 = 5/5 = 1
Now we can do 3/5 x 1 = 3/5.
Therefore, the answer is 3/5.
Hope this helps :)
HELP ME PLEASE, I need help and don’t understand at all !
Answers
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What is -7w-4-5w+13 simplified?
Answers
It’s right I am an algebra 1 teacher
A rental car company charges $33.73 per day to rent a car and $0.06 for every mile
driven. Elizabeth wants to rent a car, knowing that:
She plans to drive 450 miles.
• She has at most $430 to spend.
•
Which inequality can be used to determine x, the maximum number of days
Elizabeth can afford to rent for while staying within her budget?
Answers
Answer:
430 > 33.73x + 27 ----> x < 11
Step-by-step explanation:
The inequality describes the total amount that can be spent for a whole number of days. To solve for the number of days, solve for x (x<11.95). Because she can't rent for only a part of a day, and because she can't spend more than $430, the inequality becomes x<11.
Answer:
Step-by-step explanation:
33.73x + 27 <= 430
0.06 is for every mile. She plans to drive 450 miles. So 0.06 times 450. Which is 27.
Then your have the 33.73 for each day for the rent of the car. We don't know how many days so we'll just put x.
does the table represent a function, -3, 6, -2,9, 0,4, -2,5
Answers
Answer:
No. There are two solutions to the point x=-2: 9 and 5.
Step-by-step explanation:
Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, for the same x position, then the graph is not a function.
HELP IM REALLY BEHIND ON MY MATH THE RIGHT ANSWER WILL GET BRAINLIEST
Answers
Answer:
N=3
Step-by-step explanation:
use cross multiplication to find 28N=84 and then divide both sides by 28 to get N=3
Answer:
N = 3
Step-by-step explanation:
Given Δ ABC is similar to Δ DEF , then the ratios of corresponding sides are in proportion, that is
[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values
[tex]\frac{21}{N}[/tex] = [tex]\frac{28}{4}[/tex] = 7 ( multiply both sides by N to clear the fraction )
21 = 7N ( divide both sides by 7 )
3 = N
An investor owns shares of Stock A and Stock B. The investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?
A table shows the price of two stocks. Stock A, 9.50 dollars; Stock B, 27 dollars.
Answers
Answer:
109.5890410958904
Step-by-step explanation:
thats the shares that the investor owns
en un maratòn participan corredores de todos los continentes 5/6 de los corredores son europeos se sabe que los americanos son la dècime parte de los europeos y que los africanos son la quinta parte de los americanos el resto de los participantes son mitad asiaticos y mitad de Oceanìa
Answers
Usando proporciones, se encuentra que 400 africanos han participado.
En total, hay x participantes.
[tex]\frac{5}{6}[/tex] de los corredores son europeos, o sea:
[tex]E = \frac{5x}{6}[/tex]
Los americanos son la dècime parte de los europeos, o sea:
[tex]Am = \frac{1}{10}E = \frac{5x}{60} = \frac{x}{12}[/tex]
Los africanos son la quinta parte de los americanos, o sea:
[tex]Afr = \frac{1}{5}Am = \frac{x}{60}[/tex]
En la carrera han inscritos 24 000 participantes, o sea, [tex]x = 24000[/tex]. Por eso, la cantidad de africanos es:
[tex]Afr = \frac{x}{60} = \frac{24000}{60} = 400[/tex]
Para obtener más información sobre las proporciones, puedes visitar a https://brainly.com/question/24615636
Answer: Quiere preguntar alguna perosnas que sabe los importante preguntas.
Step-by-step explanation:
Michele
wants to save $150 for a trip to the Sox Flags amusement park. she saves $12 each week, how
weeks will it take her to save enough money for the tri?
Answers
Answer:
Twelve and a half weeks
Step-by-step explanation:
Answer:
12 and a half weeks
Step-by-step explanation:
150/12=12 and a half since she takes 7 days to earn 12 dollars, 12x12 and 1/2=150
Which of these is always true?
A. Two lines that are the always same distance apart are perpendicular.
B. Two lines that are always the same distance apart are parallel.
C. Two lines that share common end point are always perpendicular.
D. Two lines that share common end point are always parallel.
Answers
Answer:
B
Step-by-step explanation:
(Meeting character limit)
Sara has a cell phone plan that charges $2 per minute for her long distance calls to Italy. She also has a pay a flat fee of $10 each month to have this plan, no matter how many minutes she talks on the phone. If Sara talks for 20 minutes long distance this month, how much money does she have to pay in total? Show work that supports your response.
Answers
Answer:
50
Step-by-step explanation:
she pays 10 in a flat fees and 2 dollars a minute so you multiply the 2 by 20 and add 10
What is the value of the expression [−18+(−22)]−43+12?
Answers
Answer:
-71
Step-by-step explanation:
Answer:
-71
Step-by-step explanation:
[-18+(-22)]-43+12
=(-18+22)-43+12
=-40-43+12
=-83+12
=-71
Which of the following is an equation of a line perpendicular to the equation
y - 3x +1?
O A = - 3x + 5
B. y --3x+5
O C. y -3x5
O D. y = x+5
Answers
Answer:
There is something wrong in the answer options. Please check the equations and formatting.
Step-by-step explanation:
Assuming the referenced equation is y = 3x + 1 (and not y - 3x + 1), we can say the following.
This is written in the form of y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
The slope, as I've written it, is 3. Parallel lines will have the same slope (but a different b). Perpendicular lines will have a slope that is the negative inverse of the slope of the reference line. In this case, it would have a slope of -(1/3).
None of the answer options come close to this. So something is wrong in the question, unless "NONE" is an option.
PLEASE NO LINKS AND NO NEGATIVITY
Answers
Answer:
-21z-35t+21g
Step-by-step explanation:
Use the distributive property of multiplication to distribute -7 to 3, 5, and -3. -7*3 is -21, so we are left with -21z. -7*5 is -35, so we are left with -35t. Finally, -7*-3 is 21, so we are left with +21g
Please help!
A rock is dropped down from the top of a 500-foot cliff. After 1 second, the rock is traveling 32 feet per second. After 4 seconds, the rock is traveling 128 feet per second.
a. Assume that the relationship between time, t, and speed, s, is linear and write an equation describing this relationship. Use ordered pairs of the form (time, speed).
b. Use this equation to determine the speed of the rock 7 seconds after it is dropped.
Answers
Answer:
Part A:
The equation describing the relationship between speed and time is:
s = 32t
Ordered pairs of the form (speed, time) are:
(32, 1)
(64, 2)
(96, 3)
(128, 4)
Part B:
s = 32t
s = 32 * 5 = 160 feet per second
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Height of the cliff = 500 feet
Speed after one second = 32 feet per second
Speed after four seconds = 128 feet per second
2. Assume the relationship between time, t, and speed, s, is linear and write an equation describing the relationship. Use ordered pairs of the form (speed, time)
The equation describing the relationship between speed and time is:
s = 32t
Ordered pairs of the form (speed, time) are:
(32, 1)
(64, 2)
(96, 3)
(128, 4)
3. Use the equation to determine the speed of the rock 5 seconds after is dropped.
s = 32t
s = 32 * 5 = 160 feet per second
Find the roots 5x^2+16=7x^2/3
Answers
Answer: I Got No solution for this problem
Step-by-step explanation:
Graph each side of the equation. The solution is the x-value of the point of intersection.
No solution
H(x)=(x+5)^2 if we solve h(x)=36
One of the possible values of x is 1
What is the other possible value of x?
Answers
Answer:
x = - 11
Step-by-step explanation:
Solving
(x + 5)² = 36 ( take square root of both sides )
x + 5 = ± [tex]\sqrt{36}[/tex] = ± 6 ( subtract 5 from both sides )
x = - 5 ± 6
Then
x = - 5 + 6 = 1
x = - 5 - 6 = - 11
The other solution is x = - 11
Gabriel purchases a rug priced at $475. With sales tax, the total comes out to $513. What is the sales tax percentage?
Answers
Answer:
The tax is 8%
Step-by-step explanation:
Take the final price and subtract the original price
513-475 = 38
Divide by the original price
38/475 =.08
Change to percent form
8%
The tax is 8%
513 - 475 = 38
38/475 = 0.08
To check your work.
475 x 0.08 = 38
475 + 38 = 513
Meaning the answer is 8%
HELP HURRY PLS
What is the equation of this line?
y =2/3x
y=3/2x
y= -2/3x
y= -3/2x
Answers
Answer:
y = 2/3x
Step-by-step explanation:
HELP ME PLEASEEEE
6(p+2.25)=15 9/10 DUE RIGHT NOWWWW
Answers
Answer:
p=2/5
p=0.4
Step-by-step explanation:
Answer:
p=2/5
Step-by-step explanation:
6p+13.5=159/10