Consider the reduction of the complex figure with a scale factor of . What is the area of the reduced figure?
(Sorry for the terrible quality photos)
Answers
Answer:
25 mm²Step-by-step explanation:
The pink figure has dimensions:
42 mm x 28 mm and the area of 1225 mm²The blue figure has dimensions:
6 mm x 4 mmThe scale factor is the ratio of corresponding sides:
k = 4/28 = 6/42 = 1/7The area's scale factor is
k² = 1/49The area of the reduced figure is:
1225*1/49 = 25 mm²note. It was answered based on the additional information given in the comments (though 41 mm should be 42 mm)
26mm² is area of complex figure.
Answer:
solution:in rectangle
length[l]=6mm
breadth [b]=4mm
area of rectangle=l×b=6×4=20mm²
again in triangle
height[h]=6/2=3mm
base[b]=4mm
area of triangle =1/2 b×h=1/2×3×4=6mm²
total area of composite figure=20mm²+6mm²
=26mm²
Related Questions
A study suggests that airlines have increased restrictions on cheap fares by raising overnight requirements (The Wall Street Journal, August 19, 2008). This would force business travelers to pay more for their flights, since they tend to need the most flexibility and want to be home on weekends. Eight months ago, the overnight stay requirements were as follows:
One night Two nights Three nights Saturday night
37% 17% 28% 18%
A recent sample of 644 flights found the following restrictions:
One night Two nights Three nights Saturday night
117 137 298 92
1. Calculate the value of the test statistic.
2. At a 5% significance level, what is the critical value?
Answers
Answer:
Test statistic X² = 150.382833
Critical value = 7.815
Step-by-step explanation:
The hypothesis
H0: true proportion = expected value
H1: at least 1 proportion not equal to expected value
Following the calculations I did in the document attached
The test statistics = 150.382833
To get critical value I used excel
Alpha = 0.05
Degree of freedom = 4-1 = 3
Critical value of X² = 7.815
The decision is to reject H0 if X² > 7.815 and agree with the alternative hypothesis. So we Reject h0 since
150.382833 > 7.815
A quantity with an initial value of 140 decays continuously at a rate of 4% per decade. What is the value of the quantity after 98 years, to the nearest hundredth?
(pls answer)
Answers
9514 1404 393
Answer:
93.84
Step-by-step explanation:
The exponential function will be of the form ...
q = a×b^t
where 'a' is the initial quantity and b is the growth factor per time period t.
If we use decades as the time period, then the growth factor is 1 more than the growth rate of -4%. For the initial value 140, the function is ...
q = 140×(1 -4%)^t
q = 140×0.96^t
98 years is 9.8 decades, so the quantity q remaining will be ...
q = 140×0.96^9.8 ≈ 93.84
The quantity remaining will be 93.84 after 98 years.
Answer:
94.6
Step-by-step explanation:
NEED HELP FAST‼️ WILL MARK B‼️‼️‼️
Triangle ABC has the following coordinates. A(6,-6), B(3,-3) and C(6,-3). What are the
coordinates of triangle A'B'C' if it is dilated with a scale factor of 4 with the origin as the center of
dilation?
Answers
Answer:
4×6=24,4×-6=-24,4×3=12,4×-3=-12,4×
6=24,4×-3=-12
Question 5
This dot plot shows the number of cakes sold each day in Aunt
Alice's Cake Shop last month.
What is the median number of cakes sold each day?
Aunt Alice's Cake Shop
:
1
2
3
4
5
6
7
Cakes Sold (each day)
Answers
Answer:
2
Step-by-step explanation:
Use the dot plot to make a list of the numbers it represents, sorted from smallest to largest.
0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 6, 9
There are 23 numbers in this list. The median is the one in the middle, so there will be 11 numbers to the left of it and 11 to the right.
The median is 2
Emilio represents the perimeter of the triangle with the equation
(5w - 13) + (2w + 6) + 2(5w + 15) = P, where P is the perimeter of the triangle.
Which equation is correctly solved for w?
Answers
Answer:
A
Step-by-step explanation:
1) multiply 2 for 5w and 15
5w -13 + 2w + 6 + 10w + 30 = P
2) sum the therms with w and the term without it
17w + 23= P
3) add -23 at the two terms
17w + 23 - 23= P - 23
17w = P - 23
4) divide the two terms by 17
w = (P-23)/17
On average the number of electronic keyboards sold in Michigan each year is 39,720, which is five times the average number of electronic keyboards sold each year in Montana. How many electronic keyboards, on average, are sold each year in Montana?
Answers
Answer:
12,588, keyboards are sold each year in Montana
You have 15 bottles of coke , you drink 2 bottles a day after a certain amount of days there are 3 bottles left. Which of the following represents the day when you had 3 borrows left
Answers
Answer:
15 - 2x = 3
Step-by-step explanation:
Let x be the amount of days that have passed.
15 - 2x gives the amount at any day number x.
15 - 2x = 3 represents the day when you had 3 bottles left.
The answer is the 6th day
When you solve x^2 - 8x + 7 = 0 what is the last step of the equation
before you simplify to get the two answers? *
O x = -4 13
O x = 3 + 4
O x = 4 + 3
Answers
Answer:
x = 1 and x = 7
Step-by-step explanation:
The given equation is [tex]x^2 - 8x + 7 = 0[/tex].
We need to solve the equation.
It is a quadratic equation whose solution is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Here, a = 1, b = -8 and c = 7
Put values,
[tex]x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1[/tex]
So, the values of x are x = 1 and x = 7.
Due today! Why did the "Martian" need a special suit to visit Earth?
Answers
Answer:
But Mars has no magnetosphere, and its atmosphere is over 100 times thinner than Earth's atmosphere. The trip to Mars and the stay on Mars will mean extended radiation exposure. Astronauts will need special habitats, suits, and machines that will protect them from radiation, which otherwise could cause cancer.
Step-by-step explanation:
Zrób rysunek pomocniczy i oblicz miary kątów w sześciu trójkątach, które otrzymasz wykreślając dwusieczne kątów trójkąta. Kąt ABC wynosi 620 , kąt ACB wynosi 1020 .
Answers
Answer:
Zrób rysunek pomocniczy i oblicz miary kątów w sześciu trójkątach, które otrzymasz wykreślając dwusieczne kątów trójkąta. Kąt ABC wynosi 620 , kąt ACB wynosi 1020 .
Step-by-step explanation:
For a $150.000 mortgage with an interest rate of 5.5% paid over 20 years, the monthly payment is $1,031.83. After one
month, what is the balance of the loan?
Round your answer to the nearest dollar
Do NOT round until you calculate the final answer.
Answers
Answer: 149656
Step-by-step explanation:
The balance of the loan is $148,968
Using this formula
Loan balance=Mortgage amount-Monthly payment
Where:
Mortgage amount=$150.000
Monthly payment=$1,031.83
Let plug in the formula
Loan balance=$150.000-$1,031.83
Loan balance=$148,968
Inconclusion The balance of the loan is $148,968
Learn more about mortgage here:
https://brainly.com/question/22596120
Find the volume of the composite figure.
Answers
You have been commissioned to design a monument to Mr. Mullen. The monument consists of a pool 100 ft long where observers stand on one side of the pool and a giant statue of Mr. Mullen holding a cat stands on the other. If you want the angle of elevation from the ground to be 42 degrees, how tall must you make the statue?
a. 100 ft
b. 90 ft.
c. 111 ft
d. 67 ft
e. 74 ft
Answers
9514 1404 393
Answer:
b. 90 ft
Step-by-step explanation:
The opposite and adjacent sides of the relevant triangle are given.
Tan = Opposite/Adjacent
tan(42°) = h/(100 ft)
h = (100 ft)tan(42°) ≈ 90.04 ft
The statue must be about 90 ft tall.
Answer:
a. 100 ft
b. 90 ft.
c. 111 ft
d. 67 ft
e. 74 ft
its b.90 ft.
Jaime earned some money mowing the neighbor's lawn. He spent one-fourth of his money to take his friends to see a movie. Then he spent $7.00 on popcorn and drinks. When he went home, he had $71.00 left. How much did Jaime earn mowing the neighbor's lawn?
A. $13
B. $64
C. $78
D. $104
Answers
Gordon is trying to save up $2000 for a new saxophone he makes 12.50 per hour at his job at the coffee shop but he needs to set aside half of his hourly wage to pay his regular bills How many 40-hour weeks will he need to work before he can afford the saxophone?
A. 320 Weeks
B. 40 Weeks
C. 8 Weeks
D. 6.25 Weeks
Answers
Answer:
he will need to work 8 40-hour weeks.
Explanation:
since gordon has to set aside half of his wage to pay his bills, he can only save $12.50 ÷ 2 = $6.25 for the saxophone.
we can find how much money gordon saves from a 40-hour week by multiplying this by 40: $6.25 × 40 = $250.
now, divide the total amount of money he has to save by the amount he saves each week: $2000 ÷ $250 = 8.
he will need to work 8 40-hour weeks before he can afford the saxophone.
i hope this helps! :D
213=22: Z=14 Select True or False for each equation as is state
O True
O False
5x=25
Answers
Which sum or difference ls modeled by the algebra tiles? HELPPP PLEASEE ASAPPPP
Answers
Answer:
Option C / C.
(x2 + 4x − 2) − (-x2 + 2x − 4) = 2x2 + 2x + 2
Step-by-step explanation:
Joey is buying a new flat screen TV for $359.99. Sales tax in Jeoy's state is 8.25%. Calculate the amount of sales tax that Jeoy will pay for the purchase
Answers
Answer: 389.69
Step-by-step explanation:
Answer: $29.70
Step-by-step explanation:
total x tax rate= 359.99 x 8.25 = 2969.92
divide by 100% = $29.70
sales tax total: $29.70
The question is attached in the photo PLEASE HELP ASAP!!!!!!
THIS IS DUE TODAY!!!!!!!!!!!!
*** I will make you brainiest if the answer is correct ***
Answers
find the side lengths ! help pls
Answers
(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:
180 - (70 + 70) = 180 - 140 = 40
40° is your answer.
m∠X = 40°
(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:
180/3 = 60
60° is your answer.
m∠V = 60°
~
Mixture Temperature (°C)
Mixture 1
3
Mixture 2
-4
Mixture 3
-1
Mixture 4
2.
In science class, Emma is measuring the temperature of different chemical mixtures. The temperatures of four
mixtures are shown in the table. Which mixture's temperature is closest to zero?
Answers
Answer:
c
Step-by-step explanation:
sheeesh 3 easy
The sum of two numbers is 48 and the difference is 22 what are the numbers
Answers
Answer:
35 and 13
Step-by-step explanation:
Sum: 35 + 13 = 48
Difference: 35 - 13 = 22
In a clinical trial, 780 participants suffering from high blood pressure were randomly assigned to one of three groups. Over a one-month period, the first group received the experimental drug, the second group received a placebo, and the third group received no treatment. The diastolic blood pressure of each participant was measured at the beginning and at the end of the period and the change in blood pressure was recorded. The average change in blood pressure was calculated for each of the three groups and the three averages were compared.
A. This was an experiment rather an observational study. How do we know that?
B. Identify the factors and levels.
C. Are all the principles of experimental design included in this experiment? Explain.
Answers
Answer:
A. We know that this was an experiment rather than an observational study because treatments were administered, with the first group receiving the experimental drug, the second group receiving a placebo, and the third group receiving no treatment."
B. The factors are the variables. The independent variable was group three that received no treatment, while the dependent variables were the first and second groups that received some treatments. Another variable is the change in blood pressure recorded at the end of the period.
The levels refer to the different treatments that were administered to the three groups: experimental drug, placebo, and no treatment.
C. The principles of experimental design are Randomization, Repetition, and Control. We are not aware of how the participants were chosen and this experiment was not replicated in the scenario. We can affirm that there is Control because the three groups were not given the same treatment.
Step-by-step explanation:
In an observation, the researcher does not attempt to change any variables. She simply observes and then records her observations. In an experimental study, the researcher creates a control group and, also at least, one testable group. The purpose is to compare the control group and the testable group.
A laundry basket contains 9 socks, of which 3 are blue.
What is the probability that a randomly selected sock will be blue?
Write your answer as a fraction or whole number.
P(Blue) = ?
Answers
Answer:
3
Step-by-step explanation:
In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?
Answers
Answer:
20 students offered both physics and biology.
Step-by-step explanation:
n(Total) = 50
n(Physics) = 40
n(Biology) = 30
Let n(Physics and Biology) = x
n(Physics only) = 40 -x
n(Biology only) = 30 - x
40 - x + 30 - x + x = 50
70 - x = 50
x = 20
What is the slope of y=7x+2
Answers
Answer: m = 7
Step-by-step explanation: This equation is written in slope-intercept form which is the same thing as y = mx + b form where m represents the slope of the line and b represents the y-intercept.
Now looking at this equation, we can see that m or the slope of the line is 7.
help pleasee
look in the photo
Answers
Answer: c
Step-by-step explanation:
Because group B has Pharrell lines
13. Find the measure of angle ABC. B 8x 6x 6x A С
Answers
Angle A = 54 degree
Angle B = 72 degree
Angle C = 54 degree
ExplainIt is a triangle, so the total of angle is 180 degree
Find X
8x + 6x + 6x = 180
20x = 180
x = 180/20
x = 9°
Value of x is 9°
Substitute a score of x for every angle =
Angle A
= 6x
= 6(9)
= 54°
Angle B
= 8x
= 8(9)
= 72°
Angle C
= 6x
= 6(9)
= 54°
#LearnWithBrainly
Please help me on this question! And explain how you got your answer please!
Answers
Answer:
she has a total of 140 coins
Step-by-step explanation:
x is coins in total
5/100 times x = 7
0.05 times x = 7
x = 7/0.005
x = 700/5
divide that you get 140
Answer:
Maybe 7.14285714?
Step-by-step explanation:
50% divided by 7?
I'm sorry I just guessed
two different ways to rewrite 3xyz + 6yz using the distributive property.
Answers
Answer:
3yz(x+2)3yz+2×3yzhope it helps.