A ladder is resting against a wall. The top of the ladder touches the wall at a height of 6
feet. Find the length of the ladder if the length is 2 feet more than its distance from the
wall.
Answers
Answer:
10 feet
Step-by-step explanation:
let the ladder be x feet in length
Using the Pythagoras theorem,
6^2+(x-2)^2=x^2
if you solve this you'll get, x = 10
Answered by GAUTHMATH
Related Questions
Find the volume of the cylinder. Round to the nearest tenth.
Answers
Answer:
V = 56.5 mi^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi ( 3)^2 (2)
V = 18 pi
Letting p = 3.14
V = 56.52 mi^3
Rounding to the nearest tenth
V = 56.5 mi^3
Two trains leave towns 1542 kilometers apart at the same time and travel toward each other. one train travels 11 km/h slower than the other. if they meet in 6 hours, what is the rate of each train?
Rate of the slower train:
Rate of the faster train:
Answers
Answer:
Slower trains: 123 km/h
Faster train: 134 km/h
Step-by-step explanation:
In order to solve this problem, one must know the following formula:
[tex]speed*time=distance[/tex]
The problem gives one the following information:
There are two trains heading towards each other, one is (11 km/h) faster than the other.There are (1542 km) between the two trains.It takes 6 hours for the two trains to meet each other.Let ([tex]speed_1[/tex]) represent the speed of the slower train and ([tex]speed_2[/tex]) represent the speed of the faster train.
One can form an equation, let (x) represent the speed of the slower train. Using the distance equation, one can state that the speed of each train times the travel time equals the distance. Since the trains met each other in (6) hours, and the combined distance traveled between the two trains is (1542 km); one can use this information to form an equation.
[tex](travel\ time)(speed_1)+(travel\ time)(speed_2)=distance[/tex]
Substitute,
[tex]6(x)+6(x+11)=1542[/tex]
Simplify, distribute, multiply every term inside of the parenthesis by the term outside of it. Then combine like terms,
[tex]6x+6x+66=1542[/tex]
[tex]12x+66=1542[/tex]
Inverse operations,
[tex]12x+66=1542[/tex]
[tex]12x=1476[/tex]
[tex]x=123[/tex]
Solve for the speed of the faster train. It is given that it is (11 km/h) faster than the slower train.
[tex]speed_1+11=speed_2\\123+11=speed_2\\134=speed_2[/tex]
Select all the expressions equivalent to 2(x + 3)
Answers
2(x + 3) = 2x + 6
1. Correct - 2 * (x + 3) = 2x + 6
2. Correct - (x + 3)2 = 2x + 6
3. Correct - 2x + 6
4. Incorrect - 2x + 3
5. Incorrect - 2x + 3
6. Incorrect - 3x + 6
Hope this helps!
Find the value of the constant m √150 - √12m + √54 = 0
Answers
Answer:
m is √2
Step-by-step explanation:
[tex]{ \tt{ \sqrt{150} - \sqrt{12}m + \sqrt{54} = 0 }} \\ { \tt{ \sqrt{12}m } = \sqrt{150} - \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6} - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3} m = \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times \sqrt{2} ) }} \\ { \tt{m = \sqrt{2} }}[/tex]
1. Match the letter of the centre to the lines that define it.
A Orthocentre
B. Incentre
C. Centroid
D. Circumcentre
median
altitude
perpendicular bisector
angle bisector
Answers
Answer:
A. (Orthocenter) → Altitude
B. (Incenter) → Angle bisector
C. (Centroid) → Median
D. (Circumcenter) → Perpendicular bisector
Step-by-step explanation:
A. The orthocenter is the point of concurrency of the three altitudes of a triangle, therefore, the matching line with the letter A is altitude
B. The incenter is the point of concurrency of the bisectors of three interior angles of a triangle, therefore, the matching line with the letter B is angle bisector
C. The centroid is the point of concurrency of the three medians of the triangle, therefore, the matching line to the letter C is median
D. The circumcenter is the point of concurrency of the three perpendicular bisectors of the three sides of a triangle, therefore, the matching line to the letter D (which corresponds with the circumcenter) is perpendicular bisector.
Help me answer this, Thank you
Answers
Answer:
Step-by-step explanation:
rotate it in a full circle
*** I NEED HELP PLEASE HELP YOUR GIRL OUT LOL**
Identify the segment parallel to the given segment
Answers
Answer:
parallel segments in order: CB, CA, CO, AN, BA, NO
Which of the following statements is true of the function ? Question 2 options: A) g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x right by 3 units and downward by 5 units. B) g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x left by 3 units and downward by 5 units. C) g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x right by 3 units and downward by 5 units. D) g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x left by 5 units and downward by 3 units.
Answers
Transformations are operators that can act on functions, modifying them in different ways. In this particular problem, we see the translations.
The correct option is B:
g(x) can be graphed by translating the basic rational function ƒ(x)= 1∕x left by 3 units and downward by 5 units.
Let's describe the transformations:
Horizontal translation:
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
If N is positive, the shift is to the left.
If N is negative, the shift is to the right
Vertical translation:
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
If N is positive, the shift is upwards.
If N is negative, the shift is downwards.
Now that we know this, let's see the problem.
We have:
[tex]g(x) = \frac{1}{x + 3} - 5[/tex]
So, the original function is:
[tex]f(x) = \frac{1}{x}[/tex]
Now from f(x) we can apply translations to create g(x).
If first, we apply a translation of 3 units to the left, we get:
[tex]g(x) = f(x + 3) = \frac{1}{x + 3}[/tex]
If now we apply a translation of 5 units downwards, we get:
[tex]g(x) = f(x + 3) - 5 = \frac{1}{x + 3} - 5[/tex]
So we can conclude that the correct option is B:
g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x left by 3 units and downward by 5 units.
If you want to learn more about translations, you can read:
https://brainly.com/question/12463306
Helpppppp pls brainly does not have any answers to radicals
Answers
Answer:
2√3
Step-by-step explanation:
√27 = √9 * √3 = 3 * √3 = 3√3
3√3 - √3 = 2√3
Can someone help me with this? 20 points
Answers
Answer:
Step-by-step explanation:
Triangle ABC is a 45-45-90 right triangle. That means that segment BC also measures 10.
The big triangle as a whole is a 30-60-90. The side length across from the 30 degree angle is 10, so the whole length of BD is 10√3. However, since we already have the length of BC as 10, then segment CD measures
10√3 -10 which is 7.32
Marla noticed that her friend Ron had three times as many pieces of candy as she did. She told him, "If you give me seven pieces of your candy, we'll have exactly the same number of pieces." Ron responded, "I didn't know that until you mentioned it. But I'll make you a deal: If you can show me how to solve this puzzle using algebra, I'll give you the seven pieces. "One minute later, Ron was shocked to see that Marla had solved it perfectly. Can you do the same?
Answers
Answer:
This question seems to be asking for the work, so I put it below.
Anyhow, Marla had 3.5 candies, and Ron had 10.5.
Step-by-step explanation:
x = 3x - 7 (lets set this as "a") { a = 3x - 7}
x + 7 = 3x -7 + 7
x + 7 = 3x
( x + 7 ) / 3 = 3/3x
( x + 7 ) / 3 = x = *(same as "a") {a}
( x + 7 ) / 3 = 3x - 7
( x + 7 ) / 3 * 3 = ( 3x - 7 ) * 3
x + 7 = 9x - 21
x - x + 7 = 9x - x - 21
7 = 8x - 21
7 + 21 = 8x - 21 + 21
28 = 8x
28 / 8 = 8/8x
3.5 = x
We can plug this back into the original equation and find that it is correct because:
x = 3x - 7
x = 3.5 =====
3.5 = 3( 3.5 ) - 7
3.5 = 10.5 - 7
3.5 = 3.5
Answer:
Marla has 7 and Ron has 21
Step-by-step explanation:
lets take
no. of candies Marla has as "x"
and no. of candies Ron has will be "3x"
Marla says if Ron gives her seven candies, they will have the same no. of candies
so your equation will be -
x + 7 = 3x - 7 (as Marla gets the candy, Ron loses the candy)
3x - x = 7 + 7
2x = 14
∴x = 7
and 3x = 3 x 7 = 21
YOUR WELCOME
this graph represents the function f(x)=4sin(x) which statement is true about this function
Answers
Answer:
A
Step-by-step explanation:
The function is increasing in the interval in A because as the x-values increase so do the y-values on the graph, which can be shown by the graph sloping upwards at that specific section.
The graph of a function is increasing on the interval (3π/2, 2π) option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have given a graph of a trigonometric function,
As we know, the trigonometric function is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.
The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
From the graph, the function is increasing from 3π/2 to 2π
The graph slopes upward at that particular segment, indicating that the function is increasing in the interval in A as the x-values increase and the y-values on the graph follow suit.
Thus, the graph of a function is increasing on the interval (3π/2, 2π) option (A) is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ5
Giải phương trình lượng giác cơ bản sinx=cos2x
Answers
Answer:
Step-by-step explanation:
Currently, your masks sell for $1 each. At that price you are able to sell 6000
masks per week: A recent survey you conducted found that for every 10 cent
increase in the price of the mask package you would sell 150 less mask packages..
Answers
The current price of the mask is $1 per mask and there is expected demand of 6000 masks per week.
If the company plans to increase the price the demand for the masks will decrease.
Revenue = 6000 * x
Total revenue will be $6,000 if the price of mask is $1. If price of mask increase by 10% then quantity will be declined to 5850 masks [6000 - 150].
New price = $ 1 * 110% = $1.10
Revenue = 5850 masks * $ 1.10 = $6,435.
Then correct answer is Revenue will increase if price of mask is increased.
Learn more at https://brainly.com/question/24319270
Find the measure of the indicated angle to the nearest degree
Answers
Explanation:
In this case, we must first find the hypotenuse of this triangle by the Pythagorean Theorem.
sqrt(a^2 + b^2) = c
1) sqrt( 23^2 + 28^2) = c
2) sqrt(529 + 784) = c
3) sqrt(1313) = c
4) c = 36.2353
Now that we have obtained our hypotenuse, we can easily find our missing angle by the sine rule.
sin(Angle)/opposing side = sin(Angle)/opposing side
1) sin90/36.2353 = sinx/23
2) 1/36.2353 = sinx/23
3) 23/36.2353 = sinx
4) x = sin^-1(23/36.2353) (SHIFT + Sin on your calculator to do this)
5) x ≈ 39
Hope this helps, brainliest would be appreciated :)
Find the slope (-2,5),(2,9)
Answers
Answer:
1
Step-by-step explanation:
Let,
x1 = - 2
y1 = 5
x2 = 2
y2 = 9
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 9 - 5 ) ) / ( 2 - ( - 2 )
= 4 / 4
= 1
Answer:
slope is 1
Step-by-step explanation:
from (-2, 5) to (2,9)
slope m= (y2-y1) / (x2-x1) = (9-5) / (2- -2) = 4 / 4 =1
*
you can think of how do you get from one point to the other
first point (-2, 5) go to second point (2,9)
-first on the y-axis (vertical) you start at 5 and go four up to get to 9
-second on the x-axis (horizontal) you start at -2 and go four right to get to 2
slope = change in y / change in x = four up /four right = 4/4 = 1
-moving down or to the left will make the numbers negative
What is the exact value of the trigonometric expression?
tan (7π/4)
a) -√2/2
b)1
c)-1
d)√2/2
Answers
Three dressers are placed side by side. One dresser is 5 feet 5 inches wide, another is 5 feet 10 inches wide, and the third is 3 feet 11 inches wide. How wide are they combined?
Answers
Answer:
15 feets 2 inches
Step-by-step explanation:
Given the widths :
1st dresser = 5 feets 5 inches
2nd dresser = 5 feets 10 inches
3rd dresser = 3 feets 11 inches
Their combined width is :
5ft + 5ft + 3 ft + 5in + 10in + 11in
13 feets 26 inches
Recall :
1 foot = 12 inches
26 inches = 26/12 feets = 2 feets 2 inches
Hence,
13 feets + 2feets 2 inches
Combined width = 15 feets 2 inches
. Tập nghiệm của bất phương trình
1 5
1 1
x x
x x
là:
Answers
Answer:
pnj hnu n
126
11
yes ......
....
.
..
x u g
Solve the following, where 0° < θ < 360°.
If cos θ=2/3 and tan θ<0
Find θ.
Answers
Answer:
The angle θ = 312°.
Step-by-step explanation:
0° < θ < 360°
If cos θ = 2/3 and tan θ < 0
As cos θ is positive and tan θ is negative so the angle is in fourth quadrant.
cos θ = 2/3
θ = 312°
1. Find the sum of csc230° and cot2 45°.
Answers
Answer:
5
Step-by-step explanation:
Based on the given conditions, formulate
Evaluate the expression:
Calculate the power:
Calculate the first two terms:
Answer:
Solve for 2. Round to the nearest tenth, if necessary.
59
K
58°
M
圆
Submit Answer
Answer: 0
PLSSSS HELP
Answers
Answer:
x ≈ 94.4
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan58° = [tex]\frac{LM}{KL}[/tex] = [tex]\frac{x}{59}[/tex] ( multiply both sides by 59 )
59 × tan58° = x , then
x ≈ 94.4 ( to the nearest tenth )
Alexandra is trying to factorise fully15y + 30. Rebecca says the answer is 3(5y + 10) Victoria says the answer is 5(3y + 6) Alexandra says both Rebecca and Victoria are incorrect, why?
Answers
Answer:
Step-by-step explanation:
They are not wrong exactly. Their answers are just incomplete. They did not take the factoring process to it's end.
Victoria could pull out another three.
Rebecca could pull out another five.
The answer is 15(y + 2)
Answer:
because: 3(5y + 10)=15y+30 (Distributive property between addition and multiplication )
the same we have 5(3y + 6)=15y+30
Step-by-step explanation:
The cost of carpeting a sqaure yard is $9.10. How much does it cost to carpet 12.5 square yards?
Answers
Answer:
113.75$
Step-by-step explanation:
I. When a square yard = 9.10
so 1 * 9.1 = 9.1
if 12.5 square yard
then 12.5 * 9.1 = 113.75$
Which function shows a fabric with a price of $1.25 per square yard?
A table showing Price of Fleece with five columns and two rows. The first row, Square Yards, has the entries, 1, 2, 3, 4. The second row, Price, has the entries, $1.25, $2.00, $2.75, $3.50.
A table showing Price of Fleece with five columns and two rows. The first row, Square Yards, has the entries, 1, 2, 3, 4. The second row, Price, has the entries, $0.25, $1.25, $2.25, $3.25.
A coordinate plane showing Price of Fleece. The x-axis shows Number of Square Yards and the y-axis shows Price in dollars. A line starts at (0, 0) and passes through (5, 4) and ends (10, 8).
A coordinate plane showing Price of Fleece. The x-axis shows Number of Square Yards and the y-axis shows Price in dollars. A line starts at (0, 0) and passes through (4, 5) and ends (8, 10).
Answers
Answer:
D
Step-by-step explanation:
Took the test
Brainliest pls
Answer:
D
Step-by-step explanation:
E 2020
Fill in the missing statements and reasons in the proof
Answers
Answer:
1. Given
2. Vertical angle theorem
3. AB≅DB, EB≅CB, m<ABC≅m<DBE
4. △ABC ≅ △DBE
Hope this helps :D
1000000+200000=?
fun for me
Answers
Answer:
1,200,000
Step-by-step explanation:
hope i helped
Answer:
1.200.000
Step-by-step explanation:
[tex]thankyou[/tex]
find the missing side lengths
Answers
Answer:
a = 17
b = 17
Answered by GAUTHMATH
side b = 17
I need help with can someone help me out
Answers
area of circle= 22/7×6×6
= 22/7×36
= 3.1×36
= 113.14
Answer:
[tex]36\pi[/tex]
Step-by-step explanation:
[tex]a = {6}^{2} \times \pi = 36\pi[/tex]
Use the substitution method to find the solution for the system of equations. Write the answer as an ordered pair. 3x+2y=23 (1/2)-y=4
Answers
Answer:
x = 7.75 y = -0.125
Step-by-step explanation:
3x + 2y = 23 1/2x - y = 4
2(1/2x - y) = (4)2 1x - 2y = 8
3x + 2y = 23
+ 1x - 2y = 8
4x = 31
x = 7.75
3(7.75) + 2y = 23
23.25 + 2y = 23
2y = -0.25
y = -0.125
