Answer:
The options b) ,c) and e) are correctThe three choices shows the ratio of the area of the smaller rectangle to the area of the larger rectangle are b)[tex](\frac{4}{16})^2[/tex] , c) [tex]\frac{12}{192}[/tex] and e) [tex](\frac{3}{12})^2[/tex]Step-by-step explanation:
Given that a large rectangle has a length of 16 and width of 12.
A smaller rectangle has length of 4 and width of 3
To show the ratio of the area of the smaller rectangle to the area of the larger rectangle:we know that "If two figures are similar, the the ratio of its areas is equal to the scale factor squared"
From the given scale factor is [tex]\frac{1}{4}[/tex]
Let z be the scale factor
Let x be the area of the smaller rectangle
Let y be the area of the large rectangle
[tex]z^2=\frac{x}{y}[/tex]
Since scale factor is [tex]\frac{1}{4}[/tex] hence [tex]z=\frac{1}{4}[/tex]
we have [tex]z^2=(\frac{1}{4})^2[/tex]
[tex]=\frac{1}{16}[/tex]
∴ [tex]z^2=\frac{1}{16}[/tex]
Now show that the ratio of the area of the smaller rectangle to the area of the larger rectangle with each options.
a) [tex]\frac{4}{16}[/tex]
[tex]\frac{4}{16}=\frac{1}{4}[/tex]
Compare with [tex]\frac{1}{16}[/tex] we get,
[tex]\frac{1}{4}\neq \frac{1}{16}[/tex]
Hence it is not possible.b) [tex](\frac{4}{16})^2[/tex]
[tex](\frac{4}{16})^2=\frac{16}{256}[/tex]
[tex]=\frac{1}{16}[/tex]
Compare with [tex]\frac{1}{16}[/tex] we get,
[tex]\frac{1}{16}=\frac{1}{16}[/tex]
This implies that the ratio of the area of the smaller rectangle to the area of the larger rectangle.c) [tex]\frac{12}{192}[/tex]
[tex]=\frac{1}{16}[/tex]
Compare with [tex]\frac{1}{16}[/tex] we get,
[tex]\frac{1}{16}=\frac{1}{16}[/tex]
This implies that the ratio of the area of the smaller rectangle to the area of the larger rectangle.d) [tex](\frac{4}{12})^2[/tex]
[tex]=\frac{16}{144}[/tex]
[tex]=\frac{1}{9}[/tex]
Compare with [tex]\frac{1}{16}[/tex] we get,
[tex]\frac{1}{9}\neq \frac{1}{16}[/tex]
Hence it is not possible.e) [tex](\frac{3}{12})^2[/tex]
[tex]=\frac{9}{144}[/tex]
[tex]=\frac{1}{16}[/tex]
Compare with [tex]\frac{1}{16}[/tex] we get,
[tex]\frac{1}{16}=\frac{1}{16}[/tex]
This implies that the ratio of the area of the smaller rectangle to the area of the larger rectangle.∴ options b) ,c) and e) are correctThe three choices shows the ratio of the area of the smaller rectangle to the area of the larger rectangle are b)[tex](\frac{4}{16})^2[/tex] , c) [tex]\frac{12}{192}[/tex] and e) [tex](\frac{3}{12})^2[/tex]Answer:
The other individual who answered the question is correct, please give them 5 stars and a thanks.
Step-by-step explanation:
To simplify and clarify, the answers are B, C, E
The perimeter of a rectangular garden is 126 feet. The length of the garden is twice the width. Find the length and width of the garden.
Answer:
2w+6
Step-by-step explanation:
Answer:
The width is 21 feet and the length is 42 feet.
Make a conjecture about the similar solids. How is the
scale factor and the ratio of the surface areas related?
Check all that apply.
The dimensions of the larger cylinder are 3 times
the dimensions of the smaller cylinder.
The surface area of the larger cylinder is 32, or 9,
times the surface area of the smaller cylinder
If proportional dimensional changes are made to a
solid figure, then the surface area will change by
the square of the scale factor of similar solids.
Answer:
all three!
Step-by-step explanation:
just answered on edge :)
Answer:
all three options!
Step-by-step explanation:
Kevin and Randy Muise have a jar containing 82 coins, all of which are either quarters or nickels. The total
value of the coins in the jar is $10.50 How many of each type of coin do they have?
The jar contains
quarters
Hehe another question
Answer:
The triangle is an isosceles because isosceles triangle have two equal sides.
Nice pfp btw.
Answer:
Step-by-step explanation:
The triangle would be isosceles because it has two of the three sides equal. Hope this helps! :)
Pleaseee help
drag each tile to the correct location on the inequality. Each tile can be used more than once.
Consider the graphed function.
What are the domain and the range of this function?
Answer:
D : -5 ≤ x < 1
R : -4 ≤ y < 7
Step-by-step explanation:
In a graph, domain is always represented by the x-axis while the range is represented by the y-axis.
In this diagram, at x-axis, the dots are connected by -5 and 1. At y-axis, the dots are connected by -4 and 7.
● represents smaller than or equal to
○ represents smaller than
The domain of the given function is -5 ≤ x ≤ 1 and range of the given function is -4 ≤ x ≤ 7.
What is a function ?
A function is a relationship between inputs and outputs where each input has precisely one output and the output can be linked to its input.
A graph is given which shows a function. We need to find out domain and the range of this function based on the graph.
We know that , in a graph , domain is always represented on the x - axis whereas we represent range on the y - axis. Also , the domain of a function is the input provided to the function whereas the output we get is the range of the function.
In the graph shown : the dots on the x-axis are connected by -5 and 1 . This meant x coordinate is (-5,1) and dots on the y-axis are connected by -4 and 7. This meant y - coordinate is (-4 , 7).
So ,
The domain will be -5 ≤ x ≤ 1 .
The range will be -4 ≤ x ≤ 7 .
Therefore , the domain of the given function is -5 ≤ x ≤ 1 and range of the given function is -4 ≤ x ≤ 7.
Learn more about function here :
https://brainly.com/question/10197594
#SPJ5
What is the value of z???
Answer: 33
Step-by-step explanation:
all of the numbers add up to 180 degrees
Answer:
33
Step-by-step explanation:
To find the degree, remember: a triangles angles will always add up to 180°. So, add your degrees, then subtract that from 180:
[tex]114+33=147\\180-147=33[/tex]
z=33°
how do you factor 2y^2 +13 +21
Answer:
2
(
y
2
+
17
)
Step-by-step explanation:
Answer:
2(y^2+17)
Step-by-step explanation:
First, add 13 and 21 together.
You'll end up with 2y^2+34
Then, factor out the two from each term, to get 2(y^2+17).
Since you can factor nothing else out, that will be your answer.
A teacher can grade 8 math tests in 10 minutes. What is the teacher’s unit rate in minutes? Answer without units.
NEED HELP ASAP
Answer:
0.8
Step-by-step explanation:
8 tests/10 mins
8 divided by 10 is 0.8 so 0.8/1 is the unit rate
Answer: 0.8
Step-by-step explanation: 8 test/10 minutes
i need help please PL
THE ANSWER IS A PART BECAUSE WHEN YOU MAKE MIXED FACTION IN FRACTION AND FIND THE DENOMINATORS BY TAKING OUT LCM IT WILL BE 18
The Jurassic Zoo charges $11 for each adult admission and $7 for each child. The total bill for the 264 people from a school trip was $2140. How many adults and how many children went to the zoo?
Answer:
59 Adults And 147 Children
Step-by-step explanation:
Since there were a total of 206 people, this means that x%2By=206
Also, because "The Jurassic Zoo charges $11 for adult admission and $9 for each child. the total bill for the 206 people from a school trip was $1972", this means that 11x%2B9y=1972
So we have the system:
system%28x%2By=206%2C11x%2B9y=1972%29
Let's solve it by substitution
Now in order to solve this system by using substitution, we need to solve (or isolate) one variable. I'm going to solve for y.
So let's isolate y in the first equation
x%2By=206 Start with the first equation
y=206-x Subtract x from both sides
y=-x%2B206 Rearrange the equation
---------------------
Since y=-x%2B206, we can now replace each y in the second equation with -x%2B206 to solve for x
11x%2B9highlight%28%28-x%2B206%29%29=1972 Plug in y=-x%2B206 into the second equation. In other words, replace each y with -x%2B206. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.
11x%2B%289%29%28-1%29x%2B%289%29%28206%29=1972 Distribute 9 to -x%2B206
11x-9x%2B1854=1972 Multiply
2x%2B1854=1972 Combine like terms on the left side
2x=1972-1854Subtract 1854 from both sides
2x=118 Combine like terms on the right side
x=%28118%29%2F%282%29 Divide both sides by 2 to isolate x
x=59 Divide
-----------------First Answer------------------------------
So the first part of our answer is: x=59
Since we know that x=59 we can plug it into the equation y=-x%2B206 (remember we previously solved for y in the first equation).
y=-x%2B206 Start with the equation where y was previously isolated.
y=-%2859%29%2B206 Plug in x=59
y=-59%2B206 Multiply
y=147 Combine like terms
-----------------Second Answer------------------------------
So the second part of our answer is: y=147
-----------------Summary------------------------------
So our answers are:
x=59 and y=147
This means that 59 adults and 147 children went to the zoo.
A truck driver drove his truck at an average speed of 45 miles per hour for 3 hours. A bus driver drove an average speed of 50 miles per hour for 5 hours.
Which explanation correctly tells how to find the difference in the distances they drove?
A.
Step 1 Divide: 45 ÷ 3.
Step 2 Divide: 50 ÷ 5.
Step 3 Add the two quotients.
B.
Step 1 Divide: 45 ÷ 3.
Step 2 Divide: 50 ÷ 5.
Step 3 Subtract the two quotients.
C.
Step 1 Multiply: 45 × 3.
Step 2 Multiply: 50 × 5.
Step 3 Add the two products.
D.
Step 1 Multiply: 45 × 3.
Step 2 Multiply: 50 × 5.
Step 3 Subtract the two products.
Answer:
A
Step-by-step explanation:
4) Over the summer gas prices dropped 2%. Which expression shows the new price of
a gallon of gas? (the old price is represented by g)
A. g - 1.02 B. g x 0.02
C. g - 0.02g D.g-0.02
Answer:
g-0.02g and line your answer options down next time to make them clearer.
Step-by-step explanation:
Write and evaluate the expression. Then, complete the statements. Six more than the product of nine and a number Evaluate when q=6
q = unknown number
9q + 6
[Six more(addition) than the product(multiplication) of nine and a number(q).
So 6 is added to 9q(9 times q).]
Since you know q = 6, substitue/plug it into the equation:
9q + 6 Plug in 6 into "q" since q = 6
9(6) + 6
54 + 6
60
Answer:
6+9q
substitute
simplify
order of operations
60
Step-by-step explanation:
The __function is the most basic function in a family of functions.
A. reciprocal
B. parent
C. linear
D. easy
Answer:
B. Parent
Step-by-step explanation:
A parent function is the simplest capacity of a group of functions that saves the meaning of the whole family.
Feel free to let me know if you need more help! :)
The parent function is the most basic function in a family of functions.
What is a function?A relation is a function if it has only One y-value for each x-value.
The parent function is the most basic function in a family of functions.
It serves as a template or starting point for other functions in the family. Other functions in the family can be obtained by applying various transformations such as scaling, shifting, or reflecting the parent function.
The parent function defines the fundamental characteristics and behavior of the entire family of functions.
Hence, the parent function is the most basic function in a family of functions.
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ7
Sharon is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£130
Hotel
£60 for each day
Spending money £350
Work out the total cost of the holiday for 4 people for 7 days.
ANYONE PLS
Answer: 3600
Step-by-step explanation:
(Travel + Hotel + Spending money ) x 4 people=
130 + 60 x 7 (days) + 350 = 900 x 4 = 3600
Find the quotation -10/-5= need help ASAP
Answer:
2
Step-by-step explanation:
Answer: 2
Step-by-step explanation: Divide -10 and -5. When you do, the answer will be 2. If you see 2 numbers that both have a negative sign, that means in the end, your answer will be positive. That is why -10/-5 is 2.
What is the mean of the data?
5
10
30
50
The mean of the given data is 23.75.
What is mean?'Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.'
According to the given problem,
The given data is,
5, 10, 30, 50
Sum = 5 + 10 + 30 + 50
= 95
Mean = [tex]\frac{95}{4}[/tex]
= 23.75
Hence, we can conclude, the mean of the given data is 23.75.
Learn more about mean here: https://brainly.com/question/26811484
#SPJ2
I WILL MARK BRAINLIEST FOR CORRECT ANSWER! :)
Answer: 31.2
Step-by-step explanation:
have a great dayy
It is recommended that people have 1 gram of calcium each day. How many milligrams of calcium is that?
Answer:
1,000
Step-by-step explanation:
1,000 miligrams is 1 gram hope this helps god bless
HELP QUICKLY IN THE NEXT 10 MINS PLEASE WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
If the question asks for volume, then
---> 7 x 5 x 3 = 105
If it asks for surface area
---> 2(wl+hl+hw)=
2(7 x 5 + 7 x 3 + 5 x 3)=
142
If it asks for area of the base then the answer is
7 x 3 = 21
PLSS HELP
If two circles are congruent then
A) they have the same center.
B) they have the same volume.
C) they have the same diameter
D) they have the same direction.
Answer:
B,C, and D
Give thanks and brainliest!! :P
Answer: The correct answer is C. Because, when two figures are congruent all their measurements are the same.
Step-by-step explanation:
Consider the line y=-=x+6.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
[tex]y=-x-6[/tex] is parallel
[tex]y=x+6[/tex] is perpendicular
Step-by-step explanation:
(im answering this assuming that says y = -x + 6)
[tex]y=-x-6[/tex] is parallel because the slope remains the same
[tex]y=x+6[/tex] is perpendicular because it reflects the line
Write 4.768 as a common fraction, proper or improper and then reduce. .
The number n = 4.768 as a fraction is A = 596/125
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the number be represented as n
Now , let the fraction be A
where the value of n = 4.768
And , to convert a decimal to a fraction, we can write the decimal as a fraction with the decimal value in the numerator and a power of 10 in the denominator that corresponds to the number of decimal places.
For 4.768, the decimal value is 768, which is three decimal places to the right of the decimal point. Therefore, we can write:
4.768 = 4 + 0.768
= 4 + 768/1000
= 4000/1000 + 768/1000
= 4768/1000
This fraction can be reduced by dividing both the numerator and denominator by their greatest common factor, which is 8:
4768/1000 = (8 × 596)/(8 × 125)
A = 596/125
Hence , the fraction is A = 596/125
To learn more about fractions click :
https://brainly.com/question/29766013
#SPJ3
In a math class there are 8 male students and 7 female students. A
student is randomly selected to go to the front office and leaves. A
second student is randomly selected to go to the office. What is the
approximate probability that both students that left were a male
students?
A.25%
B.26.7%
C.28.4%
D.50%
Answer: 26.7%
Step-by-step explanation:
The probability that the leftover students were both male is 26.7%. Hence the correct option is B.
The probability that both selected students are male can be calculated as follows:
Determine the probability of selecting a male student for the first pick: P(Male) = 8/(8+7) = 8/15
Since the first student selected was male, the probability of the second student being male as well is: P(Second Male|First Male) = 7/(8+6) = 7/14
Multiply the probabilities together to get the probability of both selected students being male: P(Both Male) = P(Male) * P(Second Male | First Male) = (8/15) * (7/14) = 4/15 or approximately 26.7%
.. Megan's aquarium has a volume of 4,320 cubic inches. Which could be
the dimensions of the aquarium? Mark all that apply.
A 16 in. by 16 in. by 18 in.
© 12 in. by 15 in. by 24 in.
B 14 in. by 18 in. by 20 in.
D 8 in. by 20 in. by 27 in.
Answer:
Step-by-step explanation:
Coach Fraser will select a captain and a co-captain from the students in her physical education class. If there are 22 students from which to
select, how many different outcomes are possible?
a. 484
b. 462
c. 44
d. 22
Answer:
The answer is B
Step-by-step explanation:
22 runs into 464 with this many out comes
Answer:462
Step-by-step explanation:
what will happen to the ratios as you increase the number of sides of the regular polygon?
Answer: increase
Step-by-step explanation:
Number of sides of the polygon, The number of sides of a regular polygon and the measure of the exterior angle are inversely proportional. As one quantity increases, the other decreases and vice versa.
The R.R. Bowker Company of New York collects data on annual subscription rates to periodicals. Results are published in Library Journal. In a recent independent study, it was found that 63% of all students at Mill University read Time magazine, 51% read U.S. News and World Report, and 24% read both magazines. If a student at Mill University is randomly selected, what is the probability that the student reads either the Time magazine or the U.S.News and World Report magazine?
Answer:
90%
Step-by-step explanation:
Let's call the percentage of students that read Time magazine by P(T), and the percentage of students that read U.S News and World Report by P(U). So, we have that:
P(T) = 0.63
P(U) = 0.51
P(T and U) = 0.24
To find the percentage of students that read either the Time magazine or the U.S.News and World Report magazine (that is, P(T or U)), we can use this formula:
P(T or U) = P(T) + P(U) - P(T and U)
So, we have that:
P(T or U) = 0.63 + 0.51 - 0.24 = 0.90
So the probability is 90%
The probability that a randomly selected student at Mill University reads either Time magazine or U.S. News and World Report magazine is 90%.
Explanation:The student is interested in finding the probability that a Mill University student reads either Time magazine or U.S. News and World Report magazine.
To calculate this, we use the formula for the probability of either event A or B occurring (P(A ∪ B) = P(A) + P(B) - P(A ∩ B)), where P(A ∪ B) represents the probability of A or B happening, P(A) is the probability of A happening, P(B) the probability of B happening, and P(A ∩ B) the probability of both A and B happening.
Given that 63% of students read Time (P(Time) = 0.63), 51% read U.S. News (P(U.S. News) = 0.51), and 24% read both (P(Both) = 0.24), we calculate the probability of a student reading either magazine as P(Either) = P(Time) + P(U.S. News) - P(Both) = 0.63 + 0.51 - 0.24 = 0.90, or 90%.
URGENT ! Need help!!!
Which of the sets of ordered pairs represents a function?
A = {(–4, 5), (1, –1), (2, –2), (2, 3)}
B = {(2, 2), (3, –2), (9, 3), (9, –3)} (4 points)
Only A
Only B
Both A and B
Neither A nor B
Answer:
I believe its only B
Answer: I would say neither A nor B
Step-by-step explanation: each input needs to only have 1 output
Characteristics of a Circle
Directions: Answer all questions fully and completely. Type your answers in the space
provided.
Points A, B, C and D are four points on the circle with centre O.
answer:
the straight line AC is the of the circle
the straight line OD is the of the circle
the straight line BC is the of the circle.
Answer:
I know that line AC is the diameter.
I know that line OD is the radius.
However, I am unsure what line BC is supposed to represent.
Sorry, hope this helps :)
Step-by-step explanation: