Using proportions, it is found that:
The scale factor for the perimeter is of [tex]\frac{2}{3}[/tex].The scale factor for the area is of [tex]\frac{4}{9}[/tex].The scale factor for the volume is of [tex]\frac{8}{27}[/tex].What is a proportion?A proportion is a fraction of a total amount.
For the perimeter, as it is given in units, the scale factor is the same, hence it is of [tex]\frac{2}{3}[/tex].
For the area, as it is given in units squared, the scale factor is squared, hence:
[tex]\left(\frac{2}{3}\right)^2 = \frac{4}{9}[/tex]
For the volume, as it is given in cubic units, the scale factor is eleveted to the third power, hence:
[tex]\left(\frac{2}{3}\right)^3 = \frac{8}{27}[/tex]
More can be learned about proportions at https://brainly.com/question/24372153
The glass part of a window is 32 1/2 inches wide. Including the frame on the left and right sides, the total width is 42 inches. If the left and right frames are equal, what is the width of each side of the frame?
The glass part of the frame is an illustration of fractions
The width of each side of the frame is 5 1/4 inches
How to determine the width of each side?The given parameters are:
Total width = 42 inchesGlass part = 32 1/2 inchesRepresent the width of each side with x.
So, we have:
Glass part + 2x = Total width
Substitute known values
31 1/2 + 2x = 42
Subtract 31 1/2 from both sides
2x = 10 1/2
Divide both sides by 2
x = 5 1/4
Hence, the width of each side of the frame is 5 1/4 inches
Read more about fractions at:
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If a coin is tossed, a die is rolled, and a candy is taken from
of 14 candies, 7 of which are red, what
8 the probability of getting a red candy, a heads, and an odd number on the die?
Answer:
⅛
Step-by-step explanation:
There are two sides of a coin which means that the profanity of getting one side of the coin is ½.
There are 14 candies in total of which 7 are red, meaning that the probability of getting a red candy is 7/14, which is the same as ½.
There are 6 sides to a die, of which 3 sides contain the odd numbers 1,3 and 5. This would mean that the probability of getting an odd number on the die is 3/6, which is the same as ½.
Now to work out the probability of getting a red candy, a heads and an odd number on the die, you have to times the probability of each together to get you final answer.
So it will be, ½×½×½=⅛
What is the missing numerator? 2/7=n/21
Answer:
6
Step-by-step explanation:
7n = 2 × 21
n = 2 × 3
n = 6
PLEASE HELP ASAP I WILL GIVE BRAINLIEST!!
A factory can work its employees no more than 5 days a week, and no less than 2 days a week. Create an inequality to represent the range of days an employee can work. Solve the inequality to determine the range in hours. Show work!
Answer:
2<=x<=5, range: 48-120 hours
Step-by-step explanation:
The minumum days is 2 and the maximum is 5, making our inequality 2<=x<=5, to find the range in hours we multiply 2 and 5 by 24 since there are 24 hours in a day.
Hayden is building a fort. How much space will he have inside his fort. The fort is 8in by 3in
Answer:
24sq in
Step-by-step explanation:
L x W = x
8 x 3 = x
24 = x
Which of these inequalities is true?
A. 3V3 < V32 < 412
B. 412 < V32 < 3V3
C. 3V5< 154 < 5V3
D. 513 < V54 < 3V5
The graph of a function is a transformation of the graph of its parent function in which the graph is
vertically stretched by a factor of 2;
shifted left 3 units; and
shifted up 2 units.
write an equation for the function.
Answer:
f(x) = 2(x+3)+2
Step-by-step explanation:
Scott DuBois took out a simple interest loan of $1,800.00 for home repairs. The loan is for 12 months at 8 percent interest with a payment of $156.60. After 8 months, the balance is $615.87. He pays off the loan when the next payment is due. What is the final payment? How much is saved by paying the loan off early?
Answer: It's $619.98
A survey found that 3 out of 4 students bring lunch from home. Based
on the survey, predict the number of students in a class of 100 who bring
Lunch from home.
Answer:
75
Step-by-step explanation:
3 out of 4 students is 75 percent of the students (100÷4=25, 25x3=75)75 percent of 100 is 75 studentsThe triangles are similar.
What is the value of x?
Enter your answer in the box.
x =
Answer:
x=10
Step-by-step explanation:
As the two triangles are similar, the value of x = 10.
HELP!!!!!
what is the measure, in degrees, of angle b?
Answer:
x=20⁰
Step-by-step explanation:
Since they are vertically opposite angles
x+20⁰=40⁰
---------
| x=20⁰ |
--------
There are 180 days in a school year. If your
teacher says you have completed 65% of the
school year, how many days do you have left
of school?
Answer:
you need to multiple or add if you multiple your answer is 1080 and if you add your answer is 240 am I correct see for yourself
i cant work this one out, help please
Answer:
a = 8 2/3.
Step-by-step explanation:
The y coordinate of the point is 5, andthe x coordinate is a so substituting for these in the given equation:
3a - 4(5) = 6
3a - 20 = 6
3a = 26
a = 26/3
= 8 2/3
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
here , we've been given a point with coordinates ( a , 5 ) and an equation ( 3x - 4y = 6 ).
To determine - the value of aCoordinate geometry deals with parameters related to points over cartesian plane , where a points , say G , has two coordinates x and y.
the coordinates are written as ( x , y ) , where x is the x coordinate or abcissa and y is the y coordinate or ordinate.
for getting the solution to the question asked , let us think of x as a and y as 5.
Now ,
substituting the values of x and y in the equation ,
[tex]3x - 4y = 6 \\ \implies \: 3(a) - 4(5) = 6 \\ \implies \: 3a - 2 = 6 \\ \implies \: 3a = 6 + 20 \\ \implies \: 3a = 26 \\ \implies \: a = \frac{26}{3} [/tex]
let's once check , if we've arrived at the correct result or no.
This can be done , by putting value of x as [tex]\frac{26}{3}\\[/tex] which is the value of a.
So ,
[tex]3x - 4y = 6 \\ \\ \implies \: \cancel3 (\frac{26}{\cancel3} ) - 4(5) = 6\\ \\ \implies26 - 20 = 6 \\ \\ \implies \: 6 = 6[/tex]
hence , verified !
Therefore ,
[tex]\bold\red{a = \frac{26}{3} }\\ [/tex]
hope helpful :D
Please help with this question
Trignometry.
Step-by-step explanation:
Hope it helps you!!What is the volume of this triangular pyramid?
9 cm
7 cm
8 cm
Answer:
84 cm³
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = 1/3Bh
where B is the area of the base.
__
The base is shown as a right triangle with legs 8 cm and 7 cm. Its area is given by the triangle formula ...
A = 1/2bh
A = 1/2(8 cm)(7 cm) = 28 cm²
Then the volume of the triangular pyramid is ...
V = 1/3(28 cm²)(9 cm) = 84 cm³
Answer: 84
Step-by-step explanation:
What is the best approximation for the perimeter of a semicircle with a diameter of 35 inches?
Use 3.14 to approximate pi.
Answer:
Circumference shares the same concept with perimeter.
First, let's use the formula for the circumference of a full circle.
C = 2πr
Where 'π' stands for pi(22/7 or 3.14) and 'r' stands for the radius.
or
C = πd
Where 'π' represents pi(22/7 or 3.14) and 'd' stands for the diameter.
But, we are trying to find a semi-circle's circumference. So, what you would do is that you would divide the whole product of the formula by 2.
For this, I'll be using this formula C = πd. Though, since we are dividing by 2 we can apply that to the diameter and make it a radius in our formula.
So the 'd' in the formula will be 'r'.
Now, let's find the radius.
D/2 = R
So,
35/2 = 17.5
Use this in our formula:-
C = πr
C = 3.14(17.5)
C = 54.95 inches.
A line up for tickets to a local concert has an average waiting time of 40 minutes with a standard deviation of 7 minutes. If 5000 tickets buyers were in
line, how many of them would expect to wait for less than 47 minutes?
3.A
2.59 %
3.B
.16 x 2,000 = 320
will give brainliest to correct answer!!
Answer:
x = -5/6
Step-by-step explanation:
Since it is on the unit circle
x^2 + ( -sqrt(11)/6)^2 = 1 ^2 (pythagorean theorem)
x^2 = 1 - 11/36
x^2 = 25 /36
x = +-5/6 since x is in Q III it is the negative
Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)
3√(8) – 3√(16)
[tex]3\sqrt 8 - 3\sqrt{16}\\\\=3\sqrt{4 \times 2} -3 \sqrt{4^2}\\\\=3\cdot 2 \sqrt 2 - 3\cdot 4\\\\=6\sqrt 2 - 12\\\\=6\left(\sqrt 2-2 \right)[/tex]
In your own words, describe the axes of the coordinate plane.
Answer:
The x-axis is always the the horizontal axis which represents the independent variable
The y-axis is always the vertical axis which represents the dependent variable
Hope this helps!
Answer:
I am only answering this so you can give the other girl brainliest.
Step-by-step explanation:
Is (4, 5) a solution to this system of inequalities?
y < 10x + 7
y x+1
yes
no
Answer:
Yes
Step-by-step explanation:
Carla spent $2. 70 to make prints of 9 photos. Mrs. Wilson spent $22. 50 to make prints of photos at the same price per print. How many prints did Mrs. Wilson make
Answer:
75
Step-by-step explanation:
9 divided by 2.70 = 3.33333333333
22.50 times 3.33333333333 = 75
hope that this helped :)
Answer:
75 prints
Step-by-step explanation:
22.5/0.3 because 2.70/9 is 0.3 then 22.5/0.3 then you'll get the answer
pls answer this question
Answer:
449189
Step-by-step explanation:
Answer:
449, 189
Step-by-step explanation:
276,947 + 449,189 = 726, 136
A fruit stand has to decide what to charge for their produce. They need $ 5 for 1 apple and 1 orange. They also need $ 15 for 3 apples and 3 oranges. Put this information into a system of linear equations. Can we find a unique price for an apple and an orange?
Answer:
2 and 3
If you want to get complicated, then 2.39 and 2.61.
Step-by-step explanation:
5 = x + y
5 = 2 + 3
5 = 5
Which number has an absolute value
greater than |-3|? Select all that apply.
b.|-5|
c. |9|
d. |1|
e. |7|
f. l-1|
Answer:
answers are b,c and e.
have a nice day
Answer:
b, c, and e
Step-by-step explanation:
The sum of two rational numbers will always be:
A.) rational
B.) irrational
C.) an integer
Answer:
c
Step-by-step explanation:
i just need to know how to do it im just to lazy to look it up
Answer:
x = 3
s = 11
z = 14
y = 2
Let me know if you need an explanation for this, I would be happy to help :)
Answer:
1. x = 3
2. s = 11
3. z = 14
4. y = 2
Step-by-step explanation:
1. x + 9 = 12
12 - 9 = x
⇒ x = 3
2. s - 1 = 10
10 + 1 = s
⇒ s = 11
3. 3 = z - 11
z - 11 = 3
11 + 3 = z
⇒ z = 14
4. 5 + y = 7
7 - 5 = y
⇒ y = 2
Monica is a professional musician who practices clarinet for the same amount of
time every day. After she practices clarinet for 45 min on Wednesday, she has
finished 18% of her daily clarinet practice. How many more minutes does Monica
practice clarinet on Wednesday? Show your work.
Answer:
205 minutes
Step-by-step explanation:
If Monica has already practiced 18% of her time, we know that she has practiced [tex]\frac{18}{100}[/tex]. If this 18% corresponds to 45 min, we can have the following equation: [tex]\frac{18}{100} = \frac{45}{x}[/tex]. We can rearrange the equation to find the value of x by doing [tex]x = \frac{45 \cdot 100}{18} = 250[/tex], so she practices 250 min every Wednesday. If we subtract the time she has already practiced (45 min) we find out she still has to practice more 205 min.
I Need help like rn someone HELPP!!!!!
Answer:
Option B, [tex]396\ units^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the bottom
[tex]A = l * w[/tex]
[tex]A = 12\ units * 8\ units[/tex]
[tex]A = 96\ units^2[/tex]
Step 2: Determine the area of the back
[tex]A = l * w[/tex]
[tex]A = 9\ units * 8\ units[/tex]
[tex]A = 72\ units^2[/tex]
Step 3: Determine the hypotenuse
Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]
[tex]12^2 + 9^2 = c^2\\[/tex]
[tex]144 + 81 = c^2[/tex]
[tex]225 = c^2[/tex]
[tex]\sqrt{225} = \sqrt{c^2}[/tex]
[tex]15 = c[/tex]
Step 4: Determine the area of the top
[tex]A = l * w[/tex]
[tex]A = 15\ units * 8\ units[/tex]
[tex]A = 120\ units^2[/tex]
Step 5: Determine the area of the triangles
[tex]A = \frac{h\ *\ b}{2}[/tex]
[tex]A = \frac{9\ units\ *\ 12\ units}{2}[/tex]
[tex]A = \frac{108\ units^2}{2}[/tex]
[tex]A = 54\ units^2[/tex]
Step 6: Determine the surface area
[tex]96\ units^2 + 72\ units^2 + 120\ units^2 + 2(54\ units^2)[/tex]
[tex]396\ units^2[/tex]
Answer: Option B, [tex]396\ units^2[/tex]
Which is the marginal relative frequency for the people who do not like cantaloupe? startfraction 25 over 91 endfraction startfraction 66 over 200 endfraction startfraction 91 over 200 endfraction startfraction 66 over 91 endfraction
The marginal relative frequency for the people who do not like cantaloupe is 0.455.
What is Marginal Relative Frequency?This refers to the addition of the joint relative frequencies in a row or column of a data table.
Hence, we would make a representation of the table from the result of the survey of 200 random people is:
Watermelon Not watermelon Total
Cantaloupe 93 16 109
Not cantaloupe 66 25 91
Total 159 41 200
So, the marginal relative frequency for the people who do not like cantaloupe is 0.455.
Read more about marginal relative frequency here:
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Answer:
C) 91/200
Step-by-step explanation: