Using Pythagoras theorem
[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \Large\sf\longmapsto P^2=17^2-8^2[/tex]
[tex]\\ \Large\sf\longmapsto P^2=289-64[/tex]
[tex]\\ \Large\sf\longmapsto P^2=225[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{225}[/tex]
[tex]\\ \Large\sf\longmapsto P=15ft[/tex]
Answer:
Applying the Pythagorean theorem we have :wall length is : a²-b²=c²⇒17²-8²=c²⇒c=15(c>=0)Step-by-step explanation:
we have : the length of the ladder is the hypotenuse of the triangle ; the length of the ladder, which is far from the wall, is the right angle side of the triangle (draw your own illustration)
Fill in the blanks to write a verbal description
Answer:
Step-by-step explanation:
17.
The expression 4(x-7) is the product of 4 and the difference of x and 7.
18.
The expression 2+8/c is the sum of 2 and the quotient of 8 and c.
Angles 1 and 2 are supplementary. 2 lines intersect to form angles 1 and 2. Which equation represents the relationship between their measures?
Answer:
[tex]\angle 1 + \angle 2 = 180^o[/tex]
Step-by-step explanation:
Given
[tex]\angle 1[/tex] and [tex]\angle 2[/tex]
Required
The relationship between them [tex]\angle 1[/tex] and [tex]\angle 2[/tex]
From the question, we understand that [tex]\angle 1[/tex] and [tex]\angle 2[/tex] are supplementary
Supplementary angles add up to 180.
So, the relationship between [tex]\angle 1[/tex] and [tex]\angle 2[/tex] is:
[tex]\angle 1 + \angle 2 = 180^o[/tex]
Find the value of x and found to the nearest degree help ASAP
Answer:
22
Step-by-step explanation:
sin(X) = perpendicular/base
sin(X) = 7/19
X=arcsin(7/19)=22
Let be the density function for the shelf life of a brand of banana which lasts up to weeks. Time, , is measured in weeks and . Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place. Mean
The question is incomplete. The complete question is :
Let [tex]p(t) = -0.0375t^2 + 0.225t[/tex] be the density function for the shelf life of a brand of banana which lasts up to 4 weeks. Time, t, is measured in weeks and [tex]$0 \leq t \leq 4$[/tex]. Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place.
Answer:
2.4
Step-by-step explanation:
Given :
[tex]p(t) = -0.0375t^2 + 0.225t[/tex]
Mean :
[tex]$=\int_0^4 tp (t) \ dt$[/tex]
[tex]$=\int_0^4 t (0.0375 t^2 + 0.225t) \ dt$[/tex]
[tex]$=-0.0375 \int_0^4 t^3 \ dt + 0.225 \int_0^4 t^2 \ dt$[/tex]
[tex]$=-0.0375 \left[ \frac{t^4}{4} \right]^4_0 + 0.225 \left[ \frac{t^3}{3} \right]^4_0$[/tex]
[tex]$=-0.0375 (64) + 0.225 \left( \frac{64}{3} \right)$[/tex]
[tex]$=-2.5 + 4.8$[/tex]
= 2.4
Therefore, the mean is 2.4
PLEASE HELP ASAP !! IF I DONT FINISH THIS HOMEWORK ILL GET GROUNDED .
A group of 11 students participated in a quiz competition. Their scores are shown below:
Scores
7 8 3 6 3 14 4 3 2 3 5
Part A: Would a dot plot, a histogram, or a box plot best represent the range of scores of the students by quartiles. Explain your answer. (4 points)
Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)
Answer:
A) Histogram
Step-by-step explanation:
A) The first step would be to look at the purpose and use for each type of plotting method;
Dot Plot: Used to represent the distribution of data (for ex; #of Strawberries, Blueberries, and Raspberries.
Histogram: A histogram is used to summarize discrete or continuous data. In other words, it provides a visual interpretation of numerical data by showing the number of data points that fall within a specified range of values
Box Plot: Summerizes a set of data measured on an interval scale.
Best choice: Histogram- The reason why a histogram is the best representation of the student quartiles is because a histogram is used to summarize discrete or continuous data, and the given data is discrete
B)
To create your histogram you first have to create a frequency table like the one below;
On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. Label this axis with the type of data shown (Score, etc.)
Draw a bar extending from the lower value of each interval to the lower value of the next interval. The height of each bar should be equal to the frequency of its corresponding interval.
That's how it's done!
Answer:
this is only for part a: a histogram
Step-by-step explanation: a histogram is like a bar graph and instead of putting dots or X's just graph it its much easier
9. The scatter plot below shows the average yearly consumption of
bottled water by people in the United States starting in 1990.
18
16
14
Gallons of
Bottled
Water per
Person
12
10
1990 1992 1994 1996 1998 2000
Year
Using the line of best fit, predict the average consumption of bottled
water in the year 2000?
B) 18 gallons
A) 20 gallons
C) 20 gallons
D) 19 gallons
A circle has a radius of 8cm. An angle of 1.4 radians is subtended at the center by an arc. Calculate the length of the arc
Answer:
11.2 cm
Step-by-step explanation:
Given that;
Arc Length Formula (if θ is in radians): l = ϴ × r
ϴ = angle subtended in radians
r= radius of the circle
l = 8cm × 1.4 radians
l= 11.2 cm
ABCD is rotated counterclockwise about the origin. By how many degrees
was ABCD rotated?
Answer:
180 degrees
Step-by-step explanation:
ABCD is now opposite where it started, so it was rotated 180 degrees
I hope this helps!
Answer:
180 degrees
Step-by-step explanation:
fifty-five percent of the pupils in a class are girls. What is the ratio of the number of boys in the class?
Answer:
45 boys
Step-by-step explanation:
55 + 45 = 100 so if 55% of the class is girls then the rest of the percentage of the class which is 45 should be boys
Answer:
45 boys
Step-by-step explanation:
55 + 45 = 100 so if 55% of the class is girls then the rest of the percentage of the class which is 45 should be boys
Please hurry I will mark you brainliest
The average weight of 50 teachers is 46kg. If the average weight of gents teachers is 50kg and the average weight of ladies teachers is 40 kg, what is the number of ladies and gents teachers,
Answer:
20 ladies
30 gents
Step-by-step explanation:
Let :
x = number of ladies
50 - x = number of gents
total weight of the ladies = 40x
total weight of the gents = 50(50 - x) = 2500 - 50x
Average weight : (40x +2500 - 50x) / 50 = 46
cross multiply
2500 - 10x = 2300
combine like terms
2500 - 2300 = 10x
200 = 10x
x = 20 = number of ladies
Number of men = 50 - 20 = 30
Find the area of the circle. Use 3.14 for the value of T Round your answer to the nearest tenth. Don't forget to find the radius first before finding the area.
10.2 in
Answer:
Step-by-step explanation:
r = d/2
r = 10.2/2 = 5.1
Area = pi * r^2
Area = 3.14 * 5.1^2
Area = 81.67 in^2
To the nearest 1/10, this is 81.7 in^2
Triangle ABC is reflected across the line y = x. What are the coordinates of the vertex B' of the resulting triangle A'B'C?
Answer:
B' (2, - 5 )
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , then
B (- 5, 2 ) → B' (2, - 5 )
kendra is 3 times her duahters age plus 7myears kendra is 49 years old. write an equation to find her duaters age
Answer:
Kendra's daughter is 14 years old.
Step-by-step explanation:
If I'm reading this correctly, it says "plus 7 more years." I'm writing my equation based off that phrase being true.
Set up equation:
Variable x = daughter's age
x × 3 + 7 = Kendra
x × 3 + 7 = 49
3x + 7 = 49
3x = 42
x = 14
Check your work:
14 × 3 + 7 = 49
42 + 7 = 49
49 = 49
Correct!
can someone help me out
5-6. Find the constant of proportionality (unit rate) for each set of values. Then use the constant of proportionality to write an equation that relates the two values in the table.
5. profit per shirt sold pound Shirts (s) 5 10 15 Profit (p) $7.50 $15.00 $22.50 Apples (a) 4 5 6 Price (p) $7.96 $9.95 $11.94
Hi
6 . Price per
7-8. Determine whether the relationship between the two quantities shown in the table is proportional by graphing on the coordinate plane. Explain your reasoning.
Number of 1 2 3 4 5 Pen sCost $2 54 56 58 $10 7. Cost of Buying Pens Number of 1 2 3 4Minutes Words Typed 50 90 140 180 8. Words Typed.
Solve this fast and I’ll give you 47 points
5. The constant of proportionality is 1.5
The equation is p = 1.5×s
6. The constant of proportionality is 1.99
The equation is p = 1.99 × a
7. The variables Number of Pens and Cost are not proportional
Please find attached the required graph
8. The variables Number of minutes and Words Typed are not proportional
Please find attached the required graph
The procedure for finding the answers are as follows;
5. The given data are presented as follows;
[tex]\begin{array}{ccc}Shirts \ (s)&&Profit \ (p)\\5&&7.50\\10&&15.00\\15&&22.50\end{array}[/tex]
Where two variables, s and p are proportional, we get;
p ∝ s
Therefore;
p = C × s
C = p/s
Where;
C = The constant of proportionality
Therefore, the constant of proportionality, C, of the given variables, (number of shirts, s, and profit, p, is found as follows;
C = 7.50/5 = 15.00/10 = 22.50/15 = 1.5
The constant of proportionality, C = 1.5
The equation that relates the two values is p = 1.5×s
6. For the apples to price relationship, we have;
[tex]\begin{array}{ccc}Apples \ (a)&&Price\ (p)\\4&&7.96\\5&&9.95\\6&&11.94\end{array}[/tex]
Therefore;
p ∝ a
p = C × a
C = p/a
Plugging in the values gives;
C = 7.96/4 = 9.95/5 = 11.94/6 = 1.99
The constant of proportionality, C = 1.99
Therefore, the equation relating the two values is p = 1.99 × a
7. The given data is presented in a tabular form as follows;
[tex]\begin{array}{ccc}Number \ of \ pens &&Cost\ \\1&&52\\2&&54\\3&&56\\4&&58\end{array}[/tex]
A set of data is proportional or has a proportional relationship if their x, and therefore, y-intercept is (0, 0)
From the graph of the data, created with MS Excel, the y-intercept is 50 which is not equal to zero, therefore, the relationship between the data is not a proportional relationship
8. The given data is presented in a tabular form as follows;
[tex]\begin{array}{ccc}Number \ of \ Minutes&&Words \ Typed\ \\1&&50\\2&&90\\3&&140\\4&&180\end{array}[/tex]
From the graph of the data, we have that the y-intercept of the line of best fir is 5, therefore, the relationship is not a proportional relationship
Learn more about proportional relationships here;
https://brainly.com/question/24289972.
HELP ME PLS ITS PYTHAGOREAN THEOREM
Answer:
82
Step-by-step explanation:
You are looking for the hypotenuse.
c = ?
a = 80
b = 18
c^2 = a^2 + b^2
c^2 = 18^2 + 80^2
c^2 = 324 + 6400
c^2 = 6724
sqrt(c^2) = sqrt(6724)
c = 82 inches
Answer:
[tex]\boxed {\boxed {\sf 82 \ inches}}[/tex]
Step-by-step explanation:
We are asked to find the length of the rake.
We know it hits the wall 80 inches above the ground and the bottom of the rake is 18 inches away from the wall. The point where the top of the rake hits the wall and the distance away from the wall are the legs that form a right angle and the rake is the hypotenuse.
We want to find the hypotenuse or the length of the rake. We will use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
In this theorem, a and b are the legs and c is the hypotenuse.
The length of the legs are 80 inches (distance from ground to top of rake) and 18 inches (distance from wall to bottom of rake). The hypotenuse is unknown.
a= 80 in b= 18 inSubstitute the known values into the formula.
[tex](80 \ in)^2+(18 \ in)^2= c^2[/tex]
Solve the exponents.
(80 in)²= 80 in*80 in= 6400 in²(18 in)²= 324 in²[tex]6400 \ in^2+ 324 \ in^2= c^2[/tex]
Add.
[tex]6724 \ in^2=c^2[/tex]
We are solving for c, the hypotenuse, so we must isolate the variable. It is being squared. The inverse of a square is a square root, so we take the square root of both sides.
[tex]\sqrt {6724 \ in^2}= \sqrt{c^2}[/tex]
[tex]\sqrt{6724 \ in^2}=c[/tex]
[tex]82 \ in =c[/tex]
The length of the rake is 82 inches.
what is the relation that represents the relation
Answer:
what can i help u with
Step-by-step explanation:
I really can't help u with that sorry i am bad at math
What is the quotient?
(-3)
(-3)²
O-9
1
o
1
9
100
O 9
Answer:
(-3)
Step-by-step explanation:
follow me if you want
I really need help anyone know which option is correct.?
Answer:
B, [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
This problem is essentially asking one to envision a line passing through the set of points on the coordinate plane, then to find the constant of proportionality of that line. The constant of proportionally, also known as the rate of change, or the slope, is a number that can be used to describe the range that happens between points on a line. The following formula can be used to find the slope of a line passing through a set of points.
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where the points ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are points on the line.
As one can see, on the given coordinate plane, the points ([tex]2,-1[/tex]), and ([tex]4,-2[/tex]) are on the coordinate plane. Substitute these points into the formula to find the slope of the line, then simplify to evaluate the equation and find the slope,
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
([tex]2,-1[/tex]), ([tex]4,-2[/tex])
[tex]=\frac{-2-(-1)}{(4)-(2)}[/tex]
[tex]=\frac{-2+1}{4-2}\\\\=\frac{-1}{2}\\\\=-\frac{1}{2}[/tex]
x^2 + 2*x*1/x+ 1/x^2
Answer:
the land of seven is a person that has a unique and the world
write two inequalities to compare -2 and -18
Step-by-step explanation:
here's the answer to your question
Which table shows a function that is increasing only over the interval (–2, 1), and nowhere else?
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 6, negative 3, negative 1, 1, 3, 6.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 2, negative 4, negative 1, 1, 4, 3.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1.
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 5, 7, 1, 0, negative 4, negative 2.
Answer:
the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Which complex number is represented by the point graphed on the complex plane below?
On a coordinate plane, a point is graphed at (3, negative 4).
–4 + 3i
3 + 4i
3 – 4i
4 + 3i
Answer:
3-4i because it is negative in a graph
Answer:
C.) 3-4i
Step-by-step explanation:
because it is negative in a graph
You expect to have $1000 in one year. A bank is offering loans at 6% interest per year.How much can you borrow today
Answer:
$943.39622
Step-by-step explanation:
A = final amount, = 1000
Interest, r = 6% = 0.06
Time, t = 1
Principal, P = amount you can borrow today
Using the simple interest formula :
A = P(1 + rt)
1000 = P(1 + 0.06*1)
1000 = P(1 + 0.06)
1000 = P(1.06)
P = 1000 / 1.06
P = 943.39622
Please help me fast
Answer:
864
Step-by-step explanation:
A=6a^2=6·12^2=864
Answer:
864 in^2
Step-by-step explanation:
2(144+144+144) = 2(432) = 864 in^2.
Hope this helped!
Below are the ratings for a sample of 12 hotels in small Ontario towns:
1.1 4.7 4.8 4.8 5.3 6.5 6.7 7.1 7.1 7.3 8.1 9.2
The critical values of this data set are given:
Q1=4.8 Q2=6.6 Q3=7.2
a) Determine the following and show all work: [3 marks]
i) interquartile range (IQR)
ii) upper boundary and lower boundary
iii) any outlier(s)
b) Create a modified box plot for the data, showing any outlier(s). [1 mark]
c) In order for a hotel to be recommended by travel blog TravelWell, its score must be the 80th percentile or higher. What is the minimum rating a hotel can achieve in order to be recommended by TravelWell based on this sample? [2 marks]
Answer:
a)
i) Interquartile range is 2.4
ii) Upper boundary is 10.8
The Lower boundary is 1.2
iii) Outliers are points above the upper boundary or below the lower boundary
There is one outlier: 1.1
b) The modified boxplot with one outlier is given in the diagram.
c) The 80th percentile is
The minimum rating the hotel can get is 7.3
Step-by-step explanation:
a)
i) Interquartile range is
IQR = Q3-Q1 = 7.2-4.8 = 2.4
ii) Upper boundary = Q3+ 1.5 *IQR = 7.2+1.5*2.4 = 10.8
Lower boundary = Q1 - 1.5*IQR = 4.8- 1.5*2.4 = 1.2
iii) Outliers are points above the upper boundary or below the lower boundary
There is one outlier: 1.1
c) The 80th percentile is given by
n= 12
k = 0.80
Index is given by k*n =0.80*12 = 9.6
Round to nearest whole number, that is 10th
80th percentile is the 10th number (arranged in ascending order)
80th percentile = 7.3
The minimum rating the hotel can get is 7.3.
b) The modified boxplot with one outlier is given as follows,
What is the volume of the pyramid below?
Answer:
96m³
Step-by-step explanation:
Base area = 8×6/2 = 24 m²
Height = 12 m
Volume of a pyramid = 1/3 × Base area × Height
= 1/3 × 24 × 12
= 288/3
= 96 m³
Answered by GAUTHMATH
Please help im stuck on this pls help ( i have to sort the cubes some how) i will give brainliest to who gets it right
Answer:
see image
three groups of 4 means 12 / 4 = 3
Step-by-step explanation:
The entrance ticket for a carnival costs $89.97, which includes a royal meal
that costs $10.85, 1 play station game, and 3 water rides (Each water ride
costs the same price). The cost of a water ride is twice as that of a play
station game. Find the cost of a water ride. Estimate to the nearest tenths.
Answer:
Cost of a play station game = $11.3
Cost of each water ride = $22.6
Step-by-step explanation:
Entrance tickets = $89.97
Royal meal = $10.85
Cost of a play station game = x
Cost of each water ride = 2x
Find the cost of a water ride
Entrance tickets = Royal meal + 1 play station game + 3 water rides
89.97 = 10.85 + 1(x) + 3(2x)
89.97 = 10.85 + x + 6x
89.97 = 10.85 + 7x
89.97 - 10.85 = 7x
79.12 = 7x
x = 79.12/7
x = 11.302857142857
Approximately to the nearest tenth
x = $11.3
Cost of a play station game = x = $11.3
Cost of each water ride = 2x
= 2(11.3)
= $22.6
