In the figure below, the triangles are similar. Find the ratio of their areas from larger to smaller.
Answers
21:14=x:8
x=21•8/14
x=168/14
x=12
x=base of triangle
A2=h•b/2
21^2=6^2+h^2
441=36+h^2
h^2=441-36
h^2=405
h= √405
h=20.12
A1=12•20.12/2
A1=6•20.12
A1=120.72
Area of smallest triangle is A2
A2=b•h/2
h=?
14^2=4^2+h^2
196=16+h^2
h^2=196-16
h^2=180
h= √180
h=13.42
A2=8•13.42/2
A2=4•13.42
A2=53.68
Ratio 120.72:53.68
Ratio=2.25
Related Questions
A quality control engineer Is interested in the mean length of sheet insulation being cut automatically by machine. It is known that the standard deviation in the cutting length that this machine produces is 0.15 feet. A sample of 70 cut sheets yields a mean length of 12.14 feet. This sample will be used to obtain a confidence interval for the mean length cut by machine. Referring to problem statement, the Z value to use in obtaining the 99% confidence interval is approximately .A.1.645B. 1.96C.3.23D.2.58
Answers
Answer:
D.2.58
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.58.
The answer is given by option D.
What is the solution set of the equation?
[tex]\sqrt{x} -18+9x=x[/tex]
Answers
9514 1404 393
Answer:
x ∈ {2.07014981016}
Step-by-step explanation:
The equation can be rewritten as ...
√x = 18-8x
x = 324 -288x +64x²
64x² -289x +324 = 0
x = (289 ±√577)/128 ≈ {2.07015, 2.44548}
Since √x must be positive, we know that ...
18 -8x ≥ 0
x ≤ 18/8 = 2.25
The larger of the above solutions is extraneous, so the solution set is ...
x ∈ {(289 -√577)/128} ≈ {2.07015}
The graph shows different types of books in a class library.
Books In Our Library
Number of Books
ou to use
45
40
35
30
25
10
Animal
History Science Sports Weather
Type of Books
How many more animal books are there than history and sports books?
O A 15
Ов. 25
O c. 35
D. 45
E. 50
Answers
Answer:
Step-by-step explanation:
Its c
Plz help if correct ill give brailiest
Answers
Answer:B
Step-by-step explanation:the answers B because the closed circle is greater that or equal too, and because the inequality is greater than the arrow points to the left. B, the dot is on 7 which if we add that to 18 is 25 which is the greatest number that can work for this inequality making this answer correct.
Hope this helps you understand it!
Find the following
(u•w)(2)=
(w•u)(2)=
Answers
Answer:
[tex](u \circ w)(2) = -34[/tex]
[tex](w \circ u) = -49[/tex]
Step-by-step explanation:
We are given these following functions:
[tex]u(x) = 4x + 2[/tex]
[tex]w(x) = -5x + 1[/tex]
The first step to solve this question is finding the composite functions. So
[tex](u \circ w)(x) = u(w(x)) = u(-5x+1) = 4(-5x + 1) + 2 = -20x + 6[/tex]
[tex](w \circ u)(x) = w(u(x)) = w(4x + 2) = -5(4x+2) + 1 = -20x - 9[/tex]
At x = 2
Now we replace x by 2 in each of the functions. So
[tex](u \circ w)(2) = -20(2) + 6 = -40 + 6 = -34[/tex]
[tex](w \circ u)(2) = -20(2) - 9 = -40 - 9 = -49[/tex]
The time spent watching a movie. Discrete or Continuous?
Answers
Answer:
The durations of movies in minutes can only take on integer values from 0 to 60. Therefore, it is a discrete data.
The time spent watching a movie is an example of Continuous function.
What is the difference between Discrete and Continuous?We gather information to look for connections, patterns, and other ideas. For instance, if you keep track of how many push-ups you perform every day for a month, your overarching objective is to assess your development and rate of advancement. For example heart beat rate, signal, etc.
Numerical information that is continuously referred to the undefined variety of measurements that might be taken across two realistic sites. For example - time, wind, temperature, pressure, etc.
Despite the fact that these numbers are often gathered via accurate measurements, they are also not necessarily neat and orderly as those in categorical data.
The time spent watching a movie is an example of Continuous function.
More about the Discrete and Continuous link is given below.
https://brainly.com/question/12968192
#SPJ2
What is the area of the triangle?
Answers
Answer:
10
Step-by-step explanation:
1/2×(-2-(-7))×(6-(-4))
pls help!due very soon.ill pick brainliest for the answer that helps me the most.(I can only pick brainliest if there's two answers)
Answers
5th grade math. Correct answer will be marked brainliest.
Answers
Answer:
(2,2)
Step-by-step explanation:
The horizontal line is always x, and the vertical line is always y. You can see that B is 2 to the right and 2 up, so the answer will be (2,2)
Solve for w. 7(-2w + 3) = 1 - 4w
what is the value of w?
Answers
Answer:
w=2
Step-by-step explanation:
-14w + 21 = 1 - 4w
-10w + 21 = 1
-10w = -20
w = -20/-10
w=2
Answer:
20 - 10 W = 0
-7 (2w - 3) = 1 - 4w
21 - 14w = 1 - 4 w
w = 2
HOPE THIS HELPS <3 :) HAVE A NICE DAY
The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds people. By selling tickets, the members would like to raise $ every night to cover all expenses. Let d represent the number of adult tickets sold at $. Let s represent the number of student tickets sold at $ each. If all seats are filled for a performance, how many of each type of ticket must have been sold for the members to raise exactly $? At one performance there were times as many student tickets sold as adult tickets. If there were tickets sold at that performance, how much below the goal of $ did ticket sales fall?
Answers
Answer:
a) At $3,300 for 600 seats, the average price per seat is 3300/600 = $5.50. The mix of tickets that results in that average can be found using an X diagram as shown below. The numbers on the right are the differences along the diagonals. When they are multiplied by 2, they add to 600. This shows that the required sales for revenue of $3,300 are
200 adult tickets
400 student tickets
b) When 3 student tickets are sold for each adult ticket, the average seat price is
(3*$4.50 +7.50)/4 = $5.25
Then the shortfall in revenue is ...
$3,300 -480*$5.25 = $780
Guys what will be the population in five years.
I don’t know what i did wrong please help
Answers
Answer:
4990
Step-by-step explanation:
Multiply 638 by 5 then add 1800 and that's your answer
Answer:
4990
Step-by-step explanation:
638 x 5 = 3190
There is already a population of 1800, so then you add 3190 and 1800 to get 4900. The reason you add these numbers is because the population grows by 638 every year. They want to know how much it will grow in 5 years. You you multiply n (number) by y (year) to get t ( total).
Hope this helps!
Yours Truel, TheAnimeCatUwU
In a toy box there are 3 toy cars, 2 dolls, and 5 balls. What is he probability of choosing a toy car
Answers
Find Tan N=
2/5
5/2
3/4
4/3
Will mark brainliest
Answers
An experiment consists of spinning the spinner once. a: Find the probability of landing on a 2. b: find the probability of landing on a 1. c: Is landing in each section of the spinner equally likely to occur? Explain.
Answers
Answer:
points
Step-by-step explanation:
b + 10 = 60
Choose the answer that shows what to do in the process step, and what the solution (answer is).
Question Options:
add 10; b = 50
subtract 10; b = 50
multiply by 10; b = 50
divide by 10; b = 50
Answers
If it's a sum then you need to subtract
Answer:
B
Step-by-step explanation:
Marc and Anthony are pulling weeds. The can pull 25 weeds every three minutes. How many weeds can they pull in 15 minutes?
Answers
Answer:
125 weeds in 15 mins
Step-by-step explanation:
Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.02 significance level.
GPA-Night GPA-Day 3.15 3.47 3.68 3.49 3.34 3.07 3.07 3.31 3.31 3.28 3.2 3.05 3.07 3.12 2.8 3.5 3.04 3.04 3.13 3.19 3.54 3.26 3.24 3.31 3.02 3.45 3.44 2.9 2.79 2.76 3.18 2.69 2.99 3.46 3.28 3.09 3.16 2.72 3.08 3.14 2.47 3.08 3.03 2.99 3.02 3.11 2.58 2.84 3.36 2.99 3.04 2.99
(1) The null and alternative hypothesis would be:
a.H0:μN≥μD
H1:μN>μD.
b.H0:μN=μD
H1:μN≠μD.
c.H0:pN≥pD
H1:pN
d.H0:pN=pD
H1:pN≠pD.
e.H0:μN≤μD
H1:μN<μD
f.H0:pN≤pD
H1:pN>pD.
(2) The test is:_______.
a. right-tailed.
b. two-tailed.
c. left-tailed.
(3) The sample consisted of 70 night students, with a sample mean GPA of 2.12 and a standard deviation of 0.08, and 70 day students, with a sample mean GPA of 2.08 and a standard deviation of 0.02
Answers
Answer:
Step-by-step explanation:
Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.02 significance level.
GPA-Night GPA-Day 3.15 3.47 3.68 3.49 3.34 3.07 3.07 3.31 3.31 3.28 3.2 3.05 3.07 3.12 2.8 3.5 3.04 3.04 3.13 3.19 3.54 3.26 3.24 3.31 3.02 3.45 3.44 2.9 2.79 2.76 3.18 2.69 2.99 3.46 3.28 3.09 3.16 2.72 3.08 3.14 2.47 3.08 3.03 2.99 3.02 3.11 2.58 2.84 3.36 2.99 3.04 2.99
(1) The null and alternative hypothesis would be:
a.H0:μN≥μD
H1:μN>μD.
b.H0:μN=μD
H1:μN≠μD.
c.H0:pN≥pD
H1:pN d.H0:pN=pD
H1:pN≠pD.
e.H0:μN≤μD
H1:μN<μD
f.H0:pN≤pD
H1:pN>pD.
(2) The test is:_______.
a. right-tailed.
b. two-tailed.
c. left-tailed.
(3) The sample consisted of 70 night students, with a sample mean GPA of 2.12 and a standard deviation of 0.08, and 70 day students, with a sample mean GPA of 2.08 and a standard deviation of 0.02
Potatoes cost 1.20 euros per kilogram work out the cost of 5 kilograms of potatoes
Answers
Answer:
Step-by-step explanation:
cost for 1 kg potatoes = 1.20 euros
Cost of 5 kilograms of potatoes
= 5 * 1.20 euros
= 6 euro
Hope it helps :)
SOLVE FOR X!!
(will mark brainliest)
Answers
Answer:
19
Step-by-step explanation:
Since it is a 90° angle we can say that 3x-15+2x+10 = 90.
3x-15+2x+10 = 90
5x-5=90
5x=95
x=19
By solving this we find that x is equal to 19.
Answer:
19
Step-by-step explanation:
3*19 = 57
57 - 15 = 42
2*19 = 38
38 + 10 = 48
48 + 42 = 90
(As this is a 90 degree angle)
Which of the following functions has the same solution set of g(x) = x3 + x2 - 2x?
Answers
Answer:
yes
Step-by-step explanation:
in what category does sugar, brown sugar, butter, eggs, vanilla, flour , unsweetened coca power , baking soda , salt & chocolate chips ? help please i’ll give extra points
Answers
If two angles are vertical, the sum of their measures is equal to the measure of a right angle true or false?
Answers
Step-by-step explanation:
False,
Vertical angles isn't always complementary l
Answer:
true
Step-by-step explanation:
If two angles are congruent, their measures are equal.
Find the measure of 2.
63° 117°
62 = [?]
Enter
Answers
Answer:
63°
Step-by-step explanation:
Angle <2 and the angle with measure of 63 are alternate exterior angles and has same measurement.
Another submarine's descent can be represented as y=-240x, where y is the elevation and x is the time in hours. How long did it take the submarine to descend to the seafloor 2,100 feet below the surface?
Answers
Answer:
8 hours and 45 minutes
Step-by-step explanation:
-2100 divided by -240 = 8.75 or 8 hours and 45 minutes
what is the slope of the line through the points (-2,-1) and (4,3)
Answers
Answer:
2/3
Step-by-step explanation:
the slope is change of y divided by change of x
[tex]m = \frac{2}{3} [/tex]
Step-by-step explanation:-
[tex]( - 2, - 1) = (x {1} ,y {1}) [/tex]
[tex](4,3) = (x{2} ,y{2} )[/tex]
BY USING SLOPE OF LINE FORMULA
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{(3 - ( - 1))}{(4 - ( - 2))} [/tex]
[tex]m = \frac{(3 + 1)}{(4 + 2)} [/tex]
[tex]m = \frac{4}{6} [/tex]
[tex]m = \frac{2}{3} [/tex]
PLEASE HELP ITS URGENT DONT GUESS (also if you get it right ill mark you as brainliest)
Answers
Answer:
136.69 ft
im not completely sure but thats my best guess
We need to find the perimeter of the garden.
Perimeter of rectangle:
P= 19*2+29*2
P= 38+58
P= 96 ft
Perimeter of semicircle:
The diameter is 19ft
P= π*d
P= 3.14*9.5
P= 29.83 ft
Perimeter of the garden:
96+29.83
= 125.83 ft
So the fence has to be 125.83 ft
In a baseball card collection, 40% of the cards are worth more than $100. If 12 cards in the collection are worth more than $100, how many total baseball cards are in the collection?
Answers
Answer:
30
Step-by-step explanation:
Total number of cards = number of cards worth more than 100 divided by the rate of those cards among total cards = 12/40% = 30
1 + 1 = ????????????
Answers
Answer:
It's obviously 22
Step-by-step explanation:
Im built different
Answer:
11??????????
Step-by-step explanation:
Solve for x. - 1/4 x + 5 = 3/4
Answers
Answer:x=17
Step-by-step explanation: