The solution is Option C.
The height of the wall to the top of the ladder is 15 feet
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be represented as ABC
Let the height of the wall be represented as h = AB
Now , Larry liens a 16 foot ladder against a wall
So , the hypotenuse of the triangle AC = 16 feet
And , the base is 5 feet away from the wall
So , the base of the triangle BC = 5 feet
The height of the wall h is given by the Pythagoras theorem ,
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
16² = AB² + 5²
On simplifying the equation , we get
Subtracting 5² on both sides of the equation , we get
AB² = 16² - 5²
AB² = 256 - 25
AB² = 231
Taking square root on both sides of the equation , we get
AB = 15.19
AB ≈ 15 feet
Therefore , the value of h is 15 feet
Hence , the height of the wall is 15 feet
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Twoyards of cost $13, and 5 yards of fabric cost $32.50. Which equation relates the cost of the fabric c to its length
Answer: c = 6.5I
Step-by-step explanation:
C = the cost of the fabric
I = the length of the fabric
C : I = 13 : 2
C : I = 32.50 : 5
C : I = 6.5
C = 6.5I
Need help ppl keep givin me links
Answer:
∠DAB=140
∠BAC=60
∠EBF=40
∠ACB=80
∠BCG=100
Step-by-step explanation:
Which correlation coefficient best matches the graph?
Answer:
Which graph?
Step-by-step explanation:
Answer:
where is the graph
Step-by-step explanation:
umm i dont know how to answer
Why were people concerned with the East India Tea's Company monopoly over the
tea industry?
Answer:
You accedently put Mathematics I think you meant Social Studies haha
Step-by-step explanation:
Please help, I dont know how to get the other angle measurement.
Answer:
Angle E is 88º
Step-by-step explanation:
If angle A is 46, then angle B is 46. Angle C in triangle ABC then has to be 88. Because of this, angle C in triangle CDE has to be 88 as well. Hence, E is 88.
explain the meaning of the inequality statement in terms of distance from a starting point in a real world setting.
20.2 miles > 17.6 miles
//also don't send scam links
The meaning of the inequality statement which has the greater than symbol ">" is best described as "20.2 miles is greater than 17.6 miles"
In any equality expression, there are mostly two sides, the left hand side and the right hand side, and the expression is read from left to right.
So, whenever we have an expression to interpret, we read from the left, then state the sign which can be less than sign "<" or greater than sign ">"
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Evaluate the expression when B = -4 and C = 6
C-8B
Solve the following system of equations graphically.
y=3x+4
y=-2x-5
Answer:
(x, y) = (-1.8, -1.4)
Step-by-step explanation:
Headlights must be used from:
-Sunset to sunrise.
Answer:
Step-by-step explanation:
ok
help help help help help help help help
Answer:
necklace
Step-by-step explanation:
It is the only one with a negative elevation
Can someone help please !
Answer:
2
Step-by-step explanation:
[tex]16^{\frac{1}{4} }[/tex] can be rewritten as [tex]\sqrt[4]{16}[/tex].
Solve for the 4th root of 16.
16=4*4=(2*2)(2*2)=2
Write the other side of this equation so it’s true for all values of x 1/2(6x - 10) - x=
Answer:
i think 1/2(6x-10)-x = 2x-5
Find and b. A 110 B 40° с D
Answer:
a: 70 degrees, b: 140 degrees
Step-by-step explanation:
Each of the sets of angles must add up to 180 degrees.
180 - 110 = 70
180 - 40 = 140
The equation of line c is y = 5* - . Line d is parallel to line c and passes through (2, 6).
What is the equation of line d?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
Answer:
Step-by-step explanation:
y = 5x is the reference line (as best as I can interpret " y = 5* - .").
We want a line, y=mx+b, where m is the slope and b is the y-intercept, that is parallel to y=5x.
Parallel lines will have the same slope as the reference line, in this case m=5. Our new line will take the form of y=5x+b. An important difference is that the new line must go through (2,6). We need to find a value of b that will make that work.
Use y=5x + b with point (2,6) and solve for b:
6 = 5*(2) + b
b = -4
The line that is parallel to y=5x and goes through the point (2,6) is thus:
y = 5x - 4
See the attachment.
The equation of line [d] in the slope intercept form can be written as -
y = 5x - 4
What is the general equation of a straight line?The general equation of a straight line is of the form -
y = mx + b
where -
[m] is slope of line
[b] is y - intercept
Given is the equation of line [c] is y = 5x and Line [d] is parallel to line [c] and passes through (2, 6).
The equation of line [d] in the slope intercept form can be derived as follows -
Slope of line [c] = Slope of line [d] (parallel lines)
m[d] = 5
Assume the equation of line [d] as -
y = m[d]x + b
6 = 5 x 2 + b
b = 6 - 10
b = - 4
The equation will be -
y = 5x - 4
Therefore, the equation of line [d] in the slope intercept form can be written as -
y = 5x - 4
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How i can answer this question
Answer:
2a + 7
Step-by-step explanation:
2a + 6 + 1 ← collect like terms
= 2a + (6 + 1)
= 2a + 7
Aisha is playing a game in which she can gain or lose points on each turn. The table below shows the points she scores on each of four turns in the game. Aisha states that her highest score is on turn 3, because 16 is greater than 3, 10, or 9. Use the drop down menus to explain Aisha’s mistake. Please help.
Answer:
Step-by-step explanation:
Write the expanded form of the expression.
3(4x - 6) =
Answer:
12x - 18
Step-by-step explanation:
3 x 4x = 12x
3 x -6 = -18 (Negative and positive make a negative.)
12x - 18
Answer two questions
Answer:
3) a = 9
4) v = 16
Step-by-step explanation:
Assuming here that the two questions you're talking about are problem 3 and problem 4, here is my work to find each answer.
Problem 3
First, let's distribute the 5 onto both terms in the parentheses.
5(a - 3) = 30
5(a) - 5(3) = 30
5a - 15 = 30
Next, we can add 15 to both sides to isolate a.
5a - 15 = 30
5a = 45
Finally, divide both sides by 5 to find the value of a.
5a = 45
a = 9
Problem 4
First, let's remove 2 from both sides of the equation.
v/2 + 2 = 10
v/2 = 8
Then, we can multiply both sides by 2 to find the value of v.
v/2 = 8
v = 16
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Number 1}[/tex]
[tex]\text{QUESTION: 5(a - 3) = 30}\\\\\large\textsf{DISTRIBUTE 5 WITHIN the PARENTHESES}\\\\\rm{5(a) + 5(-3) = 30}\\\\\rm{5a - 15 = 30}\\\\\large\textsf{ADD 15 to BOTH SIDES}\\\\\rm{5a - 15 + 15 = 30 + 15}\\\\\large\textsf{CANCEL out: -15 + 15 because it gives you 0}\\\large\textsf{KEEP: 30 + 15 because it helps solve for the a-value}\\\\\text{NEW EQUATION: 5a = 30 + 15}\\\\\large\textsf{SIMPLIFY IT!}\\\\\rm{5a = 45}\\\\\large\textsf{DIVIDE 5 to BOTH SIDES}\\\\\rm{\dfrac{5a}{5} = \dfrac{45}{5}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{5}}\large\textsf{ because it gives you 1}\\\large\textsf{KEEP: }\mathsf{\dfrac{45}{5}}\large\textsf{ because it helps solve for the a-value}\\\\\text{YOUR NEW EQUATION: }\rm{a = \dfrac{45}{5}}\\\\\large\textsf{SIMPLIFY IT!}\\\\\large\text{a = 9}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{a = 9}}}\huge\checkmark[/tex]
[tex]\huge\text{NUMBER 2}[/tex]
[tex]\text{QUESTION: }\rm{\dfrac{v}{2} + 2 = 10}\\\\\rm{\rightarrow \dfrac{1}{2}v + 2 = 10}\\\\\large\textsf{SUBTRACT 2 to BOTH SIDES}\\\\\rm{\dfrac{1}{2}v + 2 - 2 = 10 - 2}\\\\\large\textsf{CANCEL out: 2 - 2 because it gives you 0}\\\large\textsf{KEEP: 10 - 2 because it helps solve for the v-value.}\\\\\text{YOUR NEW EQUATION: }\rm{\dfrac{1}{2}v = 10 - 2}\\\\\text{SIMPLIFY IT!}\\\\\rm{\dfrac{1}{2}v = 8}\\\\\large\textsf{MULTIPLY 2 to BOTH SIDES}\\\\\rm{2\times \dfrac{1}{2}v = 2\times8}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because it gives you 1}\\\large\textsf{KEEP: }\mathsf{2\times8}\large\textsf{ because it helps solve for the v-value}\\\\\text{YOUR NEW EQUATION: }\rm{v = 2\times8}\\\\\large\textsf{SIMPLIFY IT!}\\\\\rm{v = 16}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{v = 16}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
BRAINLIEST FIRST CORRECT ANSWER!
The list shows the ages of first-year teachers in one school system. What is the mode of the ages? 23, 42, 21, 25, 23, 24, 23, 24, 37, 23, 39, 51, 63, 24, 55
A.) 51
B.) 24
C.) 23
Answer:
23 is the answer of this question
Step-by-step explanation:
bye
Mode means the number that pops up the most repeatedly. In this case it's B.) 2 3
Combine the like terms to create an equivalent expression.
large 9p+3p
Answer:
12p
Step-by-step explanation:
9p+3p=12p
Answer:
2(x + 3) + 4(9x + 8) = ?
Answer:
38x + 38
Step-by-step explanation:
pls pls pls pls help
Find the 44th term in the following
arithmetic sequence :
2, 3, 4, 5, ...
Hint: Write a formula to help you.
1st term + common difference(desired term - 1)
Answer:
45
Step-by-step explanation:
The sequence adds 1 every step. it has already taken the first 4 steps, so 40 more would just be adding 40 to 5.
Please mark brainliest I really need it
Answer:
43 I think that is the Answer
How do I solve this?
carl ordered a refrigerator that weigh 192 pounds
Answer: good for him... how much did he spend on it?
Which equation has a unite rate of 0.5
Answer:
r=0.5d
Step-by-step explanation:
sum of three consecutive odd numbers is 177. find the number
HINT : let the numbers be x , x+2 and x+4
x=57
Step-by-step explanation:
x+x+2+x+4=177
3x+6=177
3x=177-6
3x=171
x=57
Therefore the three consecutive numbers are:
57;59;61
2. 52,000 people attended a concert. Main floor tickets cost $25 each and upper-level tickets
were $12 each. A total of $1,144,000 worth of tickets were sold. How many upper level
tickets were sold?
Answer:
x (upper level) = 12,000 tickets
Step-by-step explanation:
Firstly, let's convert this gibberish text into the information we want. :D
Total amount of people = 52,000
Main floor tickets = $25 each
Total: $1,144,000
Let the amount of people who brought upper level tickets be x and main floor tickets be y. (assumming 1 ticket = 1 person)
Thus, we come up with this simultaneous equation:
[tex]12x + 25y = 1,144,000\\x + y = 52,000[/tex]
The first equation finds the price of the ticket, while the second is the amount of people.
x (upper level) = 12,000
y = 40,000
Hope this helps! :)
plzzzzz help!! 20 points
Eric's dog gets 34.7 grams of protein in each meal. How much protein does the dog get in 4 meals?
Answer:
242.9 grams
Step-by-step explanation:
Erics dog get 34.7 grams each meal, When He gets 4x the amount all you are doing is 34.7x4 which equals 138.8 grams
A system of linear equations includes the line that is created by the equation y = 0. 5 x minus 1 and the line through the points (3, 1) and (â€"5, â€"7), shown below. On a coordinate plane, points are at (negative 5, negative 7) and (3, 1). What is the solution to the system of equations? (â€"6, â€"4) (0, â€"1) (0, â€"2) (2, 0).
The solution to the system of equations is (2,0)
The equation is given as:
[tex]y = 0.5x - 1[/tex]
The other equation passes through the points (3,1) and (-5,-7).
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{-7 - 1}{-5 -3}[/tex]
[tex]m = \frac{-8}{-8}[/tex]
[tex]m =1[/tex]
The equation is then calculated as:
[tex]y = m(x -x_1) + y_1[/tex]
So, we have:
[tex]y = 1(x -3) + 1[/tex]
[tex]y = x -3 + 1[/tex]
[tex]y = x -2[/tex]
Substitute x - 2 for y in [tex]y = 0.5x - 1[/tex]
[tex]x- 2 =0.5x - 1[/tex]
Collect like terms
[tex]x-0.5x= 2 - 1[/tex]
[tex]0.5x= 1[/tex]
Divide both sides by 0.5
[tex]x= 2[/tex]
Substitute 2 for x in [tex]y = 0.5x - 1[/tex]
So, we have:
[tex]y = 0.5\times 2 - 1[/tex]
[tex]y = 1 - 1[/tex]
[tex]y = 0[/tex]
So, we have:
[tex](x,y) =(2,0)[/tex]
Hence, the solution to the system of equations is (2,0)
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