Applying the Pythagorean theorem, the length of the ladder to the nearest foot is: 14 ft.
What is the Pythagorean Theorem?The Pythagorean theorem states that if c is the hypotenuse of a right triangle, and a and b are the legs of the right triangle, then, c = √(a² + b²).
Thus, the ladder leaning on a building will form a right triangle, such that:
Hypotenuse = the length of the ladder = c
a = 5 ft
b = 13.1 ft
Therefore:
c = √(5² + 13.1²)
c = 14 ft
Therefore, applying the Pythagorean theorem, the length of the ladder to the nearest foot is: 14 ft.
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What is 15 + * ?
Hint: * equals to 1/2 of 20
Answer: 25
Step-by-step explanation: 1/2 of 20 equals 1/2 x 20, equals 20/2, equals 10. 15 + 10 = 25.
Answer:
25
Step-by-step explanation:
why? cause someone already said it.
If you listen to Rap Music What 2021 Artist do you like
Answer:
OhGeesy and Shordie Shordie
Answer:
well honestly MY favorite is Molly slow and reverb from wokstar.But there's a lot tho
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
Answer:
544cm^2
Step-by-step explanation:
A=2(wl+hl+hw)
=2(6×16+8×16+8× 6)
= 544cm^2
How many triangles can be constructed with two angles measuring 80 and 100°?
Answer:
0
Step-by-step explanation:
because a triangle has three angles that equal two 180 degrees
Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie’s cat. Together, the cat and the kitten weigh 18 pounds. Which system of equations could be used to find the weight of each animal?
A. y=[tex]\frac{1}{2}[/tex]x+3
y=-x+18
B. y=[tex]\frac{1}{2}[/tex]x+3
y=x+18
C. y=[tex]\frac{1}{2}[/tex]x-3
y+x=18
Answer:
c
Step-by-step explanation:
if Callie's cat is x and the question says that the kitten is 3 pound less than half(1/2) of x it will then be half of 1/2 of x then - 3(to get the kittens weight)
the if both cats weight 18 it'll be x+y
Given that 32 = 9, write this in logarithm form.
Question 8 options:
log2 3 = 9
log3 9 = 2
log3 2 = 9
log2 9 = 3
It is
log 39=2
Explanation:
By definition the logarithmic form
log bx=y is equivalent to the exponential form
by=x
Hence from the given 32=9 you have b=3 , y=2 , x=9
hence the logarithmic form is
log 3 9=2
PLEASE HELP ME GRAPH THIS
Answer: start point will be 60 which is between 40 and 80 and go up files point to 80 then the second will be 40.
and go files point to between 80 and 120 then the second point will be 80
Step-by-step explanation:
Based on past concerts, a band predicts selling 600-10p concert tickets when each ticket is sold at p dollars. Complete the table to find out how many concert tickets the band expects to sell and what revenues it expects to receive at the given ticket prices.
The formula for the number of tickets sold, 600 - 10·p, gives the
revenue at a given number of tickets as 600·p - 10·p².
How can the given table be completed?The number of tickets sold = 600 - 10·p
The revenue = Ticket price × (600 - 10·p)
The completed table is presented as follows;
[tex]\begin{array}{c|c|c|}Ticket \ price \ (dollars)&Number \ of \ tickets&Revenue \ (dollars)\\10&600 - 10 \times 10 = 500&10 \times 500 = 5000\\15&600 - 10 \times 15 = 450&10\times 450 = 4500\\20&600 - 10 \times 20 = 400&10 \times 400 = 4000\\30&600 - 10 \times 30 = 300&10 \times 300 = 3000\\35&600 - 10 \times 35 = 250&10 \times 250 = 2500\\45&600 - 10 \times 45 = 150&10 \times 150 = 1500\\50&600 - 10 \times 50 = 100&10 \times 100 = 1000\\60&600 - 10 \times 60 =0&10 \times 0 = 0\\p\end{array}\right][/tex]
The general formula for the revenue, given a number of tickets sold of 600 - 10·p is therefore;
The revenue = p × (600 - 10·p) = 600·p - 10·p²Therefore, when the ticket sold is p, we have;
Number of ticket sold = 600 - 10·pRevenue = 600·p - 10·p²Learn more about functions here:
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The completed table is as follows:
Ticket price (dollars) Number of tickets Revenue (dollars)
10 500 5000
15 450 6750
20 400 8000
30 300 9000
35 250 8750
45 150 6750
50 100 5000
To complete the table and find out the number of concert tickets the band expects to sell and the revenue it expects to receive at the given ticket prices.
we need to use the provided information that the band predicts selling 600 - 10p concert tickets when each ticket is sold at p dollars.
The number of tickets sold = 600 - 10·p
The revenue = Ticket price × (600 - 10·p)
By plugging the value of ticket price we find the number of tickers and revenue.
If ticket price is 10.
Then plug in p =10 to find the number of tickets sold in the equation.
The number of tickets sold = 600 - 10·p
=600-10(10)
=500
Revenue = 10(600-10(10))
=10(500)
=5000
Similarly we fill the table by using this format.
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How nice are your teacher 1-20 and what grade was your favorite
Answer:
Modify short_names by deleting the first element and changing the last element to Joe.
Sample output with input: 'Gertrude Sam Ann Joseph'
['Sam', 'Ann', 'Joe']
Answer:
my science teacher is 20 my civics teacher is 18 my math teacher is 100
Step-by-step explanation:
Fav grade? first. just color in the boxes and you get a 100 lolll
Find the original price of a CD if it was discounted by 5% and was sold for $21.84.
Answer:
$ 22.98
Step-by-step explanation:
discounted = 5%
sold at = 100 % - 5%
= 95%
let the original price of CD be x
= 95% of x =21.84
= 95/100 × x = 21.84
= x = 21.84 × 100/95
= x = 2184/95
= x = $22.98Please mark my answer the brainliest and rate me 5 star and follow me.please please please please please please
4) Terrence realized that he had only traveled
22% of his 450 mile trip. How far has Terrence
traveled? How many miles does he have left?
Answer:
He travelled 99 miles and has 351 miles to travel
Step-by-step explanation:
Here,
22/100×450
=22/2×9
=11×9
=99 miles travelled
Again,
450 miles - 99 miles
= 351 miles left to travel
(would appreciate it if you could mark me the brainliest :))
Answer:
Terrence has traveled 99 miles.
He still has 351 miles to go.
Step-by-step explanation:
Change 22% to a decimal by moving the decimal point two places to the left, or dividing by 100.
22% is .22
or 22/100 is .22
Multiply.
.22 × 450 = 99
Terrence traveled 22 miles.
His trip will be 450 miles. Subtract.
450 - 99 = 351
He has 351 miles to go.
use pascals triangle to find the coefficient of the third term in the expansion of (a + b)2
Answer:
2. ( a + b )
Step-by-step explanation:
The (a + b)2 formula is the algebraic identity used to find the square of the sum of two numbers. To find the formula of the binomial in the form (a + b)2, we will just multiply (a + b) (a + b).
A large company put out an advertisement in a magazine for a job opening. The first day the magazine was published the company got 70 responses, but the responses were declining by 10% each day. Assuming the pattern continued, how many total responses would the company get over the course of the first 23 days after the magazine was published, to the nearest whole number?
Answer:
638
Step-by-step explanation:
The total number of responses is the value of a geometric series with first term 70 and common ratio 1-10% = 0.90. That sum is given by the formula ...
Sn = a1·(1 -r^n)/(1 -r)
where r is the common ratio, n is the number of terms, and a1 is the first term.
The sum of n=23 terms of the series with a1=70 and r=0.9 is ...
S23 = 70·(1 -0.9^23)/(1 -0.9) = 700(1 -0.9^23) ≈ 638
The model predicts 638 total responses over the first 23 days.
I have to write this on graph paper please help this is due tomorrow
Answer:
the answer is in the link
Step-by-step explanation:
If sales tax is 6 percent, how much sales tax must you pay on an oven that costs $362?
Answer:
Sales tax is 6%
The cost of the oven is $362
Sales tax for the oven will be 6% of $362
=6/100 x $362
=0.06 x $362
=$21.72
Step-by-step explanation:
Select the correct answer.
What is the value of x in the triangle?
Answer:
A. 4
Step-by-step explanation:
SOH CAH TOA
Opposite & hypotenuse - sin
Sin(30) = o/8
x 8
O = 8 x Sin(30)
O =4
Hope this helps!
Name:
Chapter 5 Section 1
More Practice Finding the Coordinates of the point of Concurrency
1. The vertices of AABC are A(1,6), B(5,4), C(5,-2). Find the coordinates of the circumcenter.
a) Graph and label the triangle
b) Find the midpoint of each side of the triangle
Midpoint AB = 5, 1)
Midpointbc =
し32)
Midpointac = [1, 2]
c) Find the slope of each side of the triangle
MAB =
MBC =
MAC =
d) Find the slope of each perpendicular bisector
IMAB =
IMBc =
IMAC =
e) Use the midpoint and the perpendicular slope to accurately draw each perpendicu
bisector on the triangle.
Answer:
see the attachments for the graph, and a spreadsheet with midpoints and slopes
Step-by-step explanation:
We are given the coordinates of the vertices of a triangle, and asked to find the parameters of the perpendicular bisectors of the sides of the triangle. The perpendicular bisectors are to be plotted on the graph.
Given:Coordinates A(1, 6), B(5, 4), C(5, -2)
__
Find:a) Graph and label the triangle
b) Find the midpoint of each side of the triangle
c) Find the slope of each side of the triangle
d) Find the slope of each perpendicular bisector
e) Use the midpoint and the perpendicular slope to accurately draw each perpendicular bisector on the triangle
__
Solution:a)See the attached graph for shaded triangle ABC.
__
b)The midpoint (M) of a segment AB will be ...
M = (A+B)/2
For example, the midpoint of segment AB is ...
D = ((1, 6) +(5, 4))/2 = (1+5, 6+4)/2 = (6, 10)/2 = (3, 5)
This repetitive arithmetic is carried out in the spreadsheet shown in the second attachment. The midpoints are ...
D(3, 5) is midpoint of AB
E(5, 1) is midpoint of BC
F(3, 2) is midpoint of CA
__
c)The slope of a segment is found using the slope formula (or by counting grid squares). That formula is ...
m = (y2 -y1)/(x2 -x1)
For segment AB, this is ...
mAB = (4 -6)/(5 -1) = -2/4 = -1/2
The other slopes are calculated similarly in the spreadsheet. When the denominator is zero (a vertical line), the slope is "undefined."
mBC = undefined
mCA = -2
__
d)The slope of the perpendicular line is the opposite reciprocal of the slope of the segment.
m⟂AB = -1/(-1/2) = 2
m⟂BC = 0 . . . . . a horizontal line has 0 slope
m⟂CA = -1/-2 = 1/2
__
e)The perpendicular bisectors of each of the sides of the triangle are shown in the first attachment. As the lesson title indicates, their point of concurrency is G(1, 1), the circumcenter of the triangle.
explain why please and make sure it is in full detail
Step-by-step explanation:
well,
(y - 7)² = (y - 7)(y - 7)
remember how to multiply 2 expressions ?
you have to multiply every term of one expression with every term of the other expression and sum the results all up (incl. considering their individual signs, of course).
so, when we do the multiplication, we get
(y - 7)(y - 7) = y×y - 7×y - 7×y + (-7)×(-7) =
= y² - 14y + 49
and that is clearly different to y² - 49
FYI
y² - 49 is the result of
(y - 7)(y + 7)
because
y×y + 7×y - 7×y + (-7)(7) = y² - 49
Answer:
The exponent of an expression says how many times to multiply the expression.
[tex]\implies (y-7)^2=(y-7)(y-7)[/tex]
Expand the brackets:
[tex]=y^2-7y-7y+49[/tex]
Combine like terms:
[tex]=y^2-14y+49[/tex]
- - - - - - - - - - - - - - - - - - - - - - -
[tex]y^2-49=(y+7)(y-7)[/tex]
Using "Difference of Two Squares" [tex]a^2-b^2=(a+b)(a-b)[/tex]
Can someone help me out
Answer:
All except the 3rd
Step-by-step explanation:
Show that the difference between the7th square number and the 4th square number is a multiple of 3
how that the difference between the 7th square number and the 4th square number is a multiple of 3 step by step and Answer 3
_)) Miss Johnston has 80 gold stickers. She wants
to give the same number of stickers to each of her
8 students. How many stickers will each student
receive?
gold stickers per student
Answer:
10Step-by-step explanation
80 ÷ 8 = 10
Hope this helped!
From: Aug1e
simplify; 3 4/5 - 2 1/4
A. 11/20
B. 1 1/3
C. 1 11/20
D. 1 5/9
Answer:
The choice C.
[tex]1 \frac{11}{20} [/tex]
Step-by-step explanation:
[tex]3 \frac{4}{5} - 2 \frac{1}{4} \\ \\ \frac{19}{5} - \frac{9}{4} \\ \\ \frac{76}{20} - \frac{45}{20} = \frac{31}{20} = 1 \frac{11}{20} [/tex]
Question is in the photo
Answer:
Step-by-step explanation:
positive factors are:
1, a, b, a², ab, a²b
pleas help i in exanm
Below is a graph of the savings account table
1. What does the point (10,125) mean on the savings account card
2. Write an equation for this graph and Y equals KX form
(Giveing Brainly and worth 50 points!!!!)
Help out please
Answer:
10 months of savings gets you $125
y=12.5x x=months 12.5=amount for one month y is a total over a certain amount of months
Step-by-step explanation:
Hope this helped.
A brainliest is always appreciated.
Here
x=monthsy=Amount saved#1
(10,125)
Months=10Savings=125#2
Take 2 points
(0,0)(10,125)[tex]\\ \rm\rightarrowtail m=\dfrac{125}{10}=25/2[/tex]
Equation in point slope form
[tex]\\ \rm\rightarrowtail y=25/2(x)[/tex]
[tex]\\ \rm\rightarrowtail 2y=25x[/tex]
what is: a + 1/10=5/10 ? pls dont delete this its school work.
Answer:
a = 2/5
Step-by-step explanation:
a + 1/10 = 5/10
Subtract 1/10 from both sides of the equation.
a + 1/10 = 5/10
-1/10 -1/10
a = 4/10
This answer is not incorrect but we usually need to simplify it if possible.
4/10 can be reduced to 2/5.
a = 2/5
Answer:
a=2/5
Step-by-step explanation:
To solve this, we first need to isolate the a so we can solve from there
First, we subtract 1/10. But whatever we do to one side we have to do to the other side. So when we subtract 1/10 from the left side we cancel it out and we subtract 1/10 from the right side so 5/10-1/10
So our equation becomes…
a=5/10-1/10
We can simplify this to…
a=4/10
4/10 is equal to 2/5
So that is our final answer
Now since we have nothing else to do that is our final answer
PLEASE AWARD BRAINLIEST I REALLY NEED TO LEVEL UP!
Two friends shop for fresh fruit. Elena buys a watermelon for $6.75 and 5 pounds of cherries. Taniy buys a pineapple for $3.55 and 4 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more Elena spent.
Answer:
The expression that represents how much more Elena spent is $3.2 + p
Step-by-step explanation:
Sohan joined a new company on 1st April 2015 and worked till 15th October 2015. For how many months and days did he work?
Answer:
7 Months and 15 Days
Step-by-step explanation:
The months that you chose had all 31 days, besides april. So you add them all up and just add the remainder into your answer.
Write the equation of the line that passes through (7,-4) and (-1,2) in slope-intercept form
Can someone help solve this question?
Answer:
Total percentage is always 100% so if its 12% for her to slip the remainder is 100-12= 88.
88% she doesn't slip.
Using Percentage, the odds against jessie slips on the ice is 88%.
What is percentage?A percentage is a "number or ratio that can be expressed as a fraction of 100".
According to the question,
The probability of jessie slip on the ice is 12% and the percentage is always taken as 100%.
In order to find the odds against jessie slips on the ice only if difference from 100% to 12%.
100 - 12 = 88.
Hence, the odds against jessie slips on the ice is 88 percentage.
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