Answers
Total surface area
=2 ×(area of triangle) +( area of rectangle 1) + (area of rectangle 2) + (area of rectangle 3)
2×(1/2 × 16 ×12) + (10×12)+(16×10)+(20×10)
=672 cm²
Related Questions
A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G. What are the coordinates of G?
Answers
Given:
A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.
To find:
The coordinates of point G.
Solution:
Section formula: If a point divide a line segment with end points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in m:n, then the coordinates of that point are
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Point G divide the line segment FH in 8:2. Using section formula, we get
[tex]G=\left(\dfrac{8(8)+2(-8)}{8+2},\dfrac{8(6)+2(-2)}{8+2}\right)[/tex]
[tex]G=\left(\dfrac{64-16}{10},\dfrac{48-4}{10}\right)[/tex]
[tex]G=\left(\dfrac{48}{10},\dfrac{44}{10}\right)[/tex]
[tex]G=\left(4.8,4.4\right)[/tex]
Therefore, the coordinates of point G are (4.8, 4.4).
I really need help. ( Intro to limits )
Answers
Solve for x using factoring.
Answers
Answer:
the answer is [tex]\frac{3x^{2} -10x+15}{4x^{2} -12x}[/tex]
Step-by-step explanation:
Find x
Geometry angles question
Answers
Answer:
5
Step-by-step explanation:
When the angles are vertical you set up your equation to 180
3x-35+130=180 and solve
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. If they share one sausage, they can eat it in 6 seconds. How long does it take each animal to eat a sausage alone?
Answers
Answer:
Kitten is 15 seconds and dog is 10 seconds
In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time.The kitten eats a sausage in 15 seconds and puppy eats a sausage in 10 seconds.
What is concept of Work and time?
In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time
Given-Puppy and kitten eats one sausage combined in 6 sec.
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage.
Let puppy eats a sausage in [tex]x[/tex] seconds and kitten eats a sausage in [tex]y[/tex] seconds.
As Puppy and kitten eats one sausage combined in 6 sec.Thus,
[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{6}[/tex]
Let above equation is equation one.
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. Thus
[tex]\dfrac{1}{x} -\dfrac{1}{y}=\dfrac{1}{5}[/tex]
Put this value of [tex]x[/tex] in the the equation one to get the value of y. Therefore,
[tex]\dfrac{1}{6} -\dfrac{1}{y}-\dfrac{1}{y}=\dfrac{1}{5}[/tex]
[tex]-\dfrac{1}{2y}=\dfrac{1}{5}-\dfrac{1}{6}[/tex]
[tex]-\dfrac{1}{2y}=-\dfrac{1}{30}[/tex]
[tex]y=15[/tex]
Thus the kitten eats a sausage in 15 seconds.
Put the value of y in equation one. thus,
[tex]\dfrac{1}{x} +\dfrac{1}{15} =\dfrac{1}{6}[/tex]
[tex]\dfrac{1}{x} =\dfrac{1}{6}-\dfrac{1}{15}[/tex]
[tex]\dfrac{1}{x} =\dfrac{9}{90}[/tex]
[tex]x=10[/tex]
Thus the puppy eats a sausage in 10 seconds.
Hence the kitten eats a sausage in 15 seconds and puppy eats a sausage in 10 seconds.
Learn more about the work and time here,
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Mel uses one fourth of a yard of ribbon to make a hair bow how many hair bows can mel make with 1 yard of ribbon
Answers
Answer:
4
Step-by-step explanation:
If its 1/4 then you can use it 4 times to equal a whole yard
Leticia and Carmen were each given 120 math questions for the month. After 3 weeks,
Leticia completed 75% of the problems and Carmen completed 60% of the problems
How many more questions did Leticia complete thon Carmen?
Answers
if √2 = 1.414 then find the value of (√50+√72) please solve
Answers
Given:
[tex]\sqrt{2}=1.414[/tex]
To find:
The value of [tex]\sqrt{50}+\sqrt{72}[/tex].
Solution:
We have,
[tex]\sqrt{50}+\sqrt{72}[/tex]
It can be rewritten as
[tex]=\sqrt{2\times 25}+\sqrt{2\times 36}[/tex]
[tex]=\sqrt{2}\times \sqrt{25}+\sqrt{2}\times \sqrt{36}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]=5\sqrt{2}+6\sqrt{2}[/tex]
[tex]=11\sqrt{2}[/tex]
Putting [tex]\sqrt{2}=1.414[/tex], we get
[tex]=11(1.414)[/tex]
[tex]=15.554[/tex]
Therefore, the value of given expression is 15.554.
a total of 11℅ students at a large high school are left-handed. A statistics teacher selects a random sample of 100 students and records L = the number of left-handed students in the sample.
a. Explain why L can be modeled by a binomial distribution even though the sample was selected without replacement.
b. use a binomial distribution to estimate the probability that 15 or more students in the sample are left-handed handed.
Answers
The probability that 15 or more students in the sample are left-handed handed is 0.0752
(a) Why L can be a binomial distribution
From the question, we understand that 11% of the students are left-handed; this means that 89% are not left-handed
This, in other words means that:
For each observation, the student is either left-handed or not left-handed
Hence, the distribution can be represented by a binomial distribution
(b) The probability that 15 or more are left-handed
The sample size is given as:
[tex]\mathbf{n = 100}[/tex]
And the proportion is
[tex]\mathbf{p = 11\%}[/tex]
The mean of the dataset is:
[tex]\mathbf{\mu = np}[/tex]
[tex]\mathbf{\mu = 100 \times 11\%}[/tex]
[tex]\mathbf{\mu = 11}[/tex]
The standard deviation of the dataset is:
[tex]\mathbf{\sigma = \sqrt{\mu(1- p)}}[/tex]
So, we have:
[tex]\mathbf{\sigma = \sqrt{11 \times (1- 11\%)}}[/tex]
[tex]\mathbf{\sigma = \sqrt{11 \times 89\%}}[/tex]
[tex]\mathbf{\sigma = \sqrt{9.79}}[/tex]
[tex]\mathbf{\sigma = 3.13}[/tex]
So, the probability is represented as:
[tex]\mathbf{P(x \ge 15)}[/tex]
Using continuity correction, we have:
[tex]\mathbf{P(x \ge 15) = P(x \ge 15.5)}[/tex]
Calculate the z-score for x = 15.5
[tex]\mathbf{z =\frac{x - \mu}{\sigma}}[/tex]
So, we have:
[tex]\mathbf{z =\frac{15.5 - 11}{3.13}}[/tex]
[tex]\mathbf{z =\frac{4.5}{3.13}}[/tex]
[tex]\mathbf{z =1.438}[/tex]
The probability is then calculated as:
[tex]\mathbf{P(x \ge 15) = P(z \ge 1.438)}[/tex]
Using z-tables of probabilities, we have:
[tex]\mathbf{P(x \ge 15) = 0.075217}[/tex]
Approximate
[tex]\mathbf{P(x \ge 15) = 0.0752}[/tex]
Hence, the probability is 0.0752
Read more about binomial distribution at:
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2/3 times 1/2 =
IN SIMPLEST FORM
I GIIVE BRAINY
Answers
Answer:
1/3!
Step-by-step explanation:
Look us Cymath on g0ogle, its a calculator that shows its work!
Sam opens a savings account with $800. He saves $50 per month. Assume that he does not withdraw money or make any additional deposits.
Answers
Answer:
wheres the end of the question
Step-by-step explanation:
Sam opens a savings account with $800. He saves $50 per month. Assume that he does not withdraw money or make any additional deposits.
Write a linear model (equation) that represents the total amount of money Sam deposits into his account after m months.
Equation:
b. After how many months will Sam have more than $3500? Show your work.
c. Use the equation and create a table to represent the situation.
Solution:
Savings = 800 + 50m
$800 is the initial savings and $50 are saved every month. By adding these two, we will get the total savings.
B) Use 3500 in the above equation
3500 = 800 + 5m
Taking 800 to other side
5m = 3500 - 800
5m = 2700
m = 2700/5 = 540
It will take him 540 months to save $3500. So we can say that it will take him 541 months to make more than $3500.
C) Make a table with two columns: Months and Total Savings
Take random values of m, put those values in the equation to get total savings for that month.
m savings
0 800
2 810
4 820
6 830
A credit card company charges the retail stores a 1.5% fee for each transaction. If a store receives $2,400 in credit card charges one day, how much will it have to pay in fees?
Answers
Answer: It will have to pay $36 in fees.
Step-by-step explanation: Hope this helps:) please mark me brainliest.
determine whether the parallelogram is a rectangle or rhombus J(5,2), K(2,5), L(-1,2), M(2,-1)
Answers
Answer:
Rhombus
Step-by-step explanation:
Janie ordered boxed lunches for a student advisory committee meeting. Each lunch costs $4. The total cost of the lunches is $47, including a $7 delivery fee. Write and solve an equation to find x, the number of boxed lunches Janie ordered.
Answers
Answer:
10 lunches
Step-by-step explanation:
$47-$7=$40
40/4=10
Hello, 928747!
So we are trying to find how many boxed lunches Janie ordered.
Each box is $4.00 and the total cost is $47.00 + delivery fee of $7.00
So to find this, we will first subtract the delivery fee because that does not count towards the lunches.
47 - 7 = 40
So the boxed lunches cost $40.00
To find how many Janie ordered, we will divide 4 by 40
40 ÷ 4 = 10
So Janie bought 10 boxed lunches.
The equation would be (47 - 7) ÷ 4
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Page No.
Date :
33
2
4 Cosin 4 Go + eces4 300 3 citan
60 - tan245) + 5 ecos? 45.
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What is the value of y? A. 57 B. 33 C. 66 D. 114
Answers
Answer:
57
Step-by-step explanation:
a pec
Option A is correct, the value of y is 57 degrees in the triangle.
We have to find the value of y in the given triangle.
Initially let us find the adjacent angle or interior angle which is adjacent to 114 degrees.
We know the straight line has an angle of 180 degrees
114+x=180
x=66 degrees.
By angle sum property the sum of three angles is 180 degrees.
66+y+y=180
66+2y=180
Subtract 66 from both sides:
2y=180-66
2y=114
Divide both sides by 2:
y=57 degrees
Hence, the value of y is 57 degrees in the triangle.
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Help me please......
Answers
Answer:
[tex] \huge \: 19[/tex]Step-by-step explanation:
to understand thisyou need to know about:equationtriangles congruencyPEMDASTIPS AND FORMULAS:when two triangles are congruent the included angles and sides of the triangles are equallet's solve:[tex]step - 1 : define[/tex]
[tex]2x - 9 = x + 5[/tex]
[tex]step - 2 :solve[/tex][tex]2x = x + 5+ 9[/tex]
[tex]2x = x + 14[/tex]
[tex]2x - x = 14[/tex]
[tex]x = 14[/tex]
given:KL=2x-9
=2.14-9
=28-9
=19
URGENT I need help.
Plzzzzzzzzzzzzzzzzzzzzzz Its Attached
Answers
Answer:
what is you belling? yesterday y monday
can y'all pls help me I don't want to fail and I will mark.
Answers
Answer:
the slope is 2/3
Step-by-step explanation:
explain why the miniscus of water is bent downwards
Answers
Answer:
A concave meniscus, which is what you normally will see, occurs when the molecules of the liquid are attracted to those of the container. This occurs with water and a glass tube. A convex meniscus occurs when the molecules have a stronger attraction to each other than to the container, as with mercury and glass.
6(2x-4)=12x+k what is the value of k will create an equation with infinitely many solutions
Answers
Answer:
K = -24
Step-by-step explanation:
I didn’t get the second question
plz help me solve this
Answers
Answer:
[tex]=2x^{5} y^{5} \sqrt{7}[/tex]
Step-by-step explanation:
Please help will give brainliestw
Answers
Answer:
6 square units
Step-by-step explanation:
In oder to do this, you need graph paper to make it easier and then mark your graph paper with the quadrants.
I got 3 unites for the height and 4 units for the base
4 x 3 = 12 square units
however the formula for a triangle is Ab/2
so divide 12/2 = 6
So its 6 square units
A student solved the equation below by graphing. log Subscript 6 Baseline (x minus 1) = log Subscript 2 Baseline (2 x + 2) Which statement about the graph is true? The curves do not intersect. The curves intersect at one point. The curves intersect at two points. The curves appear to coincide.
Answers
Answer:
A.) The curves do not intersect.
Step-by-step explanation:
By looking at the graph, we can see that the curves do not intercept, meaning that the equation has no solutions.
Graphs of logarithmic functions:First, here we have the graph of the lines:
y = log₆(x - 1)y = log₂(2x + 2)Which can be seen at the end of the answer.
In the graph, you can see that the lines never do intercept, this means that the equation:
log₆(x - 1) = log₂(2x + 2)
Has no solutions.
If you want to learn more about graphs, you can read:
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I will give brainiest. There is 1/ 3 gallon of water in a 3-gallon container. What fraction of the container is filled?
Answers
It is given that x2 - 6x + 14 = (x+p) +9 Find the value of p and q.
Answers
Answer:
-3x2-6x-3+14 that is the answer
Step-by-step explanation:
x/-3
Azil runs 6 times four-fifths laps on Monday. Which fraction represents the number of laps that Azil runs on Monday?
Answers
Answer:
24 / 5 laps
Step-by-step explanation:
Fraction of laps run = 4/5 laps
Number of times lap was run = 6
Fraction representing total laps run :
6 * (4/5)
= 24 / 5
Or
24 /5 = 4 4/5 laps
ordenar de mayor a menor los siguientes números racionales
[tex] \frac{2}{5}; - \frac{1}{4}; - 0.43; \frac{2}{3} ; - \frac{4}{5} ; - \frac{3}{2} ; - 0.2[/tex]
necesito ayuda por favor
Answers
Simplify the following:
a) 3^2x3^2
b) 7x7^4
c) 10^9/10^7
d) 5^8/5
Answers
Answer:
see attached
Step-by-step explanation:
pleass see attached
I have to solve this: (2x + 2/5)+(5x-4/5) and then simplify it.
Answers
Answer:
35x - 2
———————
5
i hope this helps
Step-by-step explanation:
Answer:
7x + 6/5 or 7x + 1 1/5
Step-by-step explanation:
Ya welcome.