Answers
Answer:
18 in²
Step-by-step explanation:
Given 2 similar figures with ratio of sides = a : b , then
ratio of areas = a² : b²
Here ratio of sides = 9 : 12 = 3 : 4
ratio of areas = 3² : 4² = 9 : 16
let x be the area of the smaller figure then by proportion
[tex]\frac{x}{9}[/tex] = [tex]\frac{32}{16}[/tex] = 2 ( multiply both sides by 9 )
x = 18
That is area of smaller figure = 18 in²
Related Questions
2. Liam and Sam shared a chocolate bar Liam ate 3/5
and Sam ate 4/ 10 Who ate more? How much
more?
Answers
Explanation:
first convert one of the fractions to the same denominator as the other one. personally, I chose to simplify 4/10 to 2/5. this leaves us with a common denominator of 5, and it makes the problem much easier/simpler to look at.
3/5 - 2/5 = 1/5
Liam ate 1/5 more chocolate than Sam
Please help. Thank you....
Answers
Hopefully this helps
in a fruit basket there were 24 oranges and the rest were lemos if 20% of fruits were lemons how many fruits were there altogether
FAST
Answers
Answer:30
Step-by-step explanation:
A pie chart is being made with four sectors. Each sector will be a certain percentage of the total area. The table below shows the size of each sector as a percentage of the total area. Sector 1 = 5%
Sector 2 =30%
Sector 3 = 50%
Sector 4 = 15%
What will be the measure of the central angle of sector 4?
A. 27°
B. 54°
C. 5.4°
D. 57°
Answers
Answer:
B. 54°
Step-by-step explanation:
There are 360° in a circle and sector 4 consists of 15% of it.
We just have to multiply the 2 numbers.
15% = 0.15
0.15(360) = 54
25/24 as a decimal and round it to the nearest hundredth
Answers
Answer:
1.04
Step-by-step explanation:
25/24=1.04166667
round: 1.04
. A Shopkeeper sells 81,590 bicycles in the month of June, he sells 61,753 3-Marks bicycles in the month of July, in the month of august he sells 9152 less than what he sold in July. How many bicycles are sold in 3 months?
Answers
Answer: 195,944 bicycles
Step-by-step explanation:
First find the number of bicycles sold in August.
August sales - July sales - 9,152
= 61,753 - 9,152
= 52,601 bicycles
The number of bicycles sold in 3 months is:
= June sales + July + August ,
= 81,590 + 61,753 + 52,601
= 195,944 bicycles
someone PLEASE HELP!!!
answer explanation = brainliest, 5 star rating
A cube is dilated by a factor of 3.5.
The volume of the resulting cube is ___ times the volume of the original cube.
Answers
Answer:
A cube is dilated by a factor of 3.5.
The volume of the resulting cube is _3.5³=42.875__ times the volume of the original cube.
Answer:
the volume of cube diladet
9375_______
i need a job please help lol
Answers
Answer:
just say something inspiring and formal
Find the value of x in the triangle shown below.
х
53°
2
97°
Answers
Given:
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
Angle sum property of a triangle: According to this property, the sum of all interior angles of a triangle is 180 degrees.
Using the angle sum property of triangle, we get
[tex]x^\circ+53^\circ+97^\circ=180^\circ[/tex]
[tex]x^\circ+150^\circ=180^\circ[/tex]
[tex]x^\circ=180^\circ-150^\circ[/tex]
[tex]x^\circ=30^\circ[/tex]
Therefore, the value of x is 30 degrees.
This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Grade
A
B
с
DF
Frequency 5
10
15
3
2
Find the probability that a student earns a
grade of B.
p = [?]
Enter a decimal rounded to the nearest hundredth.
Answers
Answer:
0.29
Step-by-step explanation:
Total grade frequency = (5 + 10 + 15 + 3 + 2) = 35
Frequency of grade B = 10
Probability = required outcome / Total possible outcomes
Required outcome = frequency of grade B = 10
Total possible outcomes = total grade frequency = 35
P(B) = 10 / 35
P(B) = 0.2857
P(B) = 0.29
The class party started with five chocolate cakes cut in fourths as shown below in the example.
Answers
============================================================
Explanation:
One large square cake cuts into 4 smaller slices
Since we have 5 such cakes that are cut like this, we have 5*4 = 20 slices all together.
Count the number of dark shaded slices that are shown in the lower diagram. We have 4+3+4+2 = 7+6 = 13 slices of cake that are left over. This must mean the class ate 20-13 = 7 slices.
The fraction of the cakes eaten is 7/20
Notes:
7/20 = 35/100 = 0.35 = 35%The fraction 7/20 cannot be reduced further because 7 and 20 have no common factors other than 1.9c+1 = 10
What is c?
Answers
Answer:
c=1
Step-by-step explanation:
9c+1 = 10
Subtract 1 from each side
9c+1-1=10-1
9c = 9
Divide by 9
9c/9 = 9/9
c = 1
FIND ANGLE ADB
the number is 116 on top
Answers
Answer:
[tex]m\angle ADB=58^{\circ}[/tex]
Step-by-step explanation:
For an angle with a point on the circle, the measure of that angle is equal to half the measure of the arc it forms. Since angle ADB forms an arc AB that measures [tex]116^{\circ}[/tex], the measure of angle ADB equals [tex]\frac{116}{2}=\boxed{58^{\circ}}[/tex]
Step-by-step explanation:
ADB=116/2(inscribed angle is half of it's arc)
58°stay safe healthy and happy...what is the solution 6x-4 =2(3x-2)
Answers
Answer:
x= 0
Step-by-step explanation:
6x-4=2(3x-2)
or,6x-4=6x-4
or,x=o
There are infinite solution of the expression.
We have to given that,
An expression to solve,
6x - 4 = 2 (3x - 2)
Now, We can simplify as,
6x - 4 = 2 (3x - 2)
Apply distributive property,
6x - 4 = 6x - 4
Combine like terms,
6x - 6x = 4 - 4
0 = 0
Hence, There are infinite solution of the expression.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
The function f(x) is graphed below. what is f(1)?
Answers
Answer:
f(1) = - 3
Step-by-step explanation:
Locate x = 1 on the x - axis, then go vertically down to (1, - 3 ) , then
f(1) = - 3
Evaluate: - 5 - 3 3/4 - 1/6 + 1/6 + 3 3/4 + 10
A 15
B 10 1/4
C 5
D -5 1/12
Answers
Answer:
the answer is c
Step-by-step explanation:
Question 38
Two cuboids are congruent. Which statement about their properties
a.Each face has the same area
b.One is larger than the other
c.They have the same volume
d.The sum of the angles is 360°
Answers
A secretary works a 35-hour week for which she is paid $262.50. If in a particular week she works 6 hours overtime on Saturdays which is paid for at time - and - a - half and 4 hours overtime on Sunday which is paid for a double time. calculate her gross wage for that week
no links please
Answers
Answer:
$390
Step-by-step explanation:
262.50/35 = 7.5 per hour during normal week
Saturdays 11.25 per hour
Sundays 15 per hour
6x11.25 = 67.5
4x15=60
262.50 +67.5 +60 = 390
help me plsssssssssssss
Answers
Answer:
do you still need help
Step-by-step explanation:
???
Please help ASAP!!!
By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%?
Answers
Answer:
it will decrease by 60% I think
Step-by-step explanation:
Lets use the example 100/100 and do the thing you get 50/125=40%.
Answer:
[tex]33\frac{1}{3}[/tex]%
Step-by-step explanation:
We can use a random fraction with numbers that make this problem easier to calculate. We can start with the fraction [tex]\frac{1}{1}[/tex] (1). If its numerator is decreased by 50% and its denominator is decreased by 25%(75% of it), the new fraction will be [tex]\frac{0.5}{0.75}[/tex] , which is the same as 2/3
The percent decrease from 1 to 2/3 is 33.333....% or [tex]33\frac{1}{3}[/tex]%.
You can use variables to solve this problem, but I find it easier to start with the fraction [tex]\frac{1}{1}[/tex] for calculation purposes.
Which graph represents equation (x-4)^2+(y+2)=16
F
H
G
I
Answers
Why is this? Recall that (x-h)^2+(y-k)^2 = r^2 is the general template of a circle. The center being (h,k) and the radius is r.
For the equation (x-4)^2+(y+2)^2 = 16, we have a center of (4,-2) and radius 4. Note that 4^2 = 16.
The graph of choice G shows these properties so that's why it's the answer. Keep in mind that each tickmark represents 2 units. Choice I is close since the center is correct but the radius is too small.
(7x+1)(2x−3)=0 solve for roots
Answers
Answer:
x = - [tex]\frac{1}{7}[/tex], x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
(7x + 1)(2x - 3) = 0 ← in standard zero product form
Equate each factor to zero and solve for x
7x + 1 = 0 ⇒ 7x = - 1 ⇒ x = - [tex]\frac{1}{7}[/tex]
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
Answer:
x = - 1 / 7 and x = 3 / 2
Step-by-step explanation:
14x2 - 21 x + 2x- 3 = 0
14x2 - 19x -3 = 0
x = 1 9 + 23 / 28 = 3 / 2
x = 19 - 23 / 28 = - 1 / 7
7x + 1 = 0 ⇒ 7x = - 1 = -1 / 7
2x - 3 = 0 ⇒ 2x = 3 = 2/ 3
Hope this answer helps you :)
Have a great day
Mark brainliest
Explain why 4x+1 is equal to 2x+12
Answers
4x+1=2x+12
4x+1-2x=12-1
2x=11
x= 11/2
simplified version is x= 5.5
4x+1=2x+12
So you have to move x to the same side means you have to switch the side for 1 and 2x (if you you are changing the side the value will be negative when it is switched but if the value is positive it will be negative when you switch the side)
4x-2x=-1+12
Now you have to simplify it.
2x=11
Now this is the last step. You need to change the value “2” to the another side. Since 2 is multiplying with x so when you switch the side it will divide with 11.
So, x=11/-2
It’s negative 2 because it switched the side.
Final answer is: x= -5.5
Now find the value for y.
Since you have found the value of x you can calculate the value of y: y=4(5.5)+1=23
y=2(5.5)+12=23
Now as you can see here that the value of y for both equations is the same so that’s why 4x+1 is equal to 2x+12
I hope you understand my explanations.
Find the value of x
Please help out !!
Answers
Answer:
x = 8
Step-by-step explanation:
These are corresponding so they are congruent.
Your equation is: 14x-4=12x+12
x=8
Step-by-step explanation:
these numbers are corresponding angle to each other
so =>14x–4=12x+12
14x–4=12x+12collect like terms
=>14x–12x=12+4
=>2x=16 divide both side by 2 you get
=>x=8
Evelyn has dance class every Saturday. It lasts 1 hour and 40 minutes and is over at 12:45 P.M.
At what time does Evelyn's dance class begin?
Evelyn's dance class begins at
:
?
Answers
Answer:
Evelyn's dance class on Saturday starts at 11:05 A.M.
Step-by-step explanation:
I know this because if her class takes an hour and 40 minutes you would subtract the hour and 40 minutes from 12:45 so you could do 12 - 1 which equals 11. Then you would do 45 - 40 which equals 5. And last you would put the new times together so it would be, 11:05. Her dance class starts at 11:05 A.M.
PLS HELP
What is the value of x ?
A. 42
B. 43
C. 84
D. 86
Answers
Answer:
B
Step-by-step explanation:
x+x+94 = 180 (sum of angle of triangle)
2x+94 = 180
2x = 180-94
2x = 86
x = 86÷2
Therefore x = 43
Adam wants to compare the fractions and He wants to order them from least to greatest and rewrite them so they all have the same denominator. Explain how Adam can rewrite the fractions.
Answers
Answer:
[tex]\frac{1}{6},\ \frac{3}{12},\ \frac{1}{3}[/tex]
Step-by-step explanation:
Given
The fractions are:
[tex]\frac{3}{12},\ \frac{1}{6},\ \frac{1}{3}[/tex]
Required
How the fractions can be rewritten
The fractions can be rewritten by taking the LCM of the denominators.
The [tex]LCM[/tex] of [tex]12; 6\ and\ 3[/tex] is [tex]12[/tex]
So, we have:
[tex]\frac{3}{12},\ \frac{2*1}{12},\ \frac{4*1}{12}[/tex]
Simplify the numerators
[tex]\frac{3}{12},\ \frac{2}{12},\ \frac{4}{12}[/tex]
Now, the fractions can be ordered based on the numerators
[tex]\frac{2}{12},\ \frac{3}{12},\ \frac{4}{12}[/tex]
Return to original form
[tex]\frac{1}{6},\ \frac{3}{12},\ \frac{1}{3}[/tex]
How to find Co factor of elements of Determinant
Answers
Answer:
Step-by-step explanation:
We can easily find the determinant of a matrix of which will be the cofactor of 2. Multiplying the diagonal elements of the matrix, we get. Now subtract the value of the second diagonal from the first, i.e, 48 – 3 = 45. Check the sign that is assigned to the number
50% of students change their major area of study after their first year in a program. A random sample of 100 students in the College of Business revealed that 48 had changed their major area of study after their first year of the program. Has there been a significant decrease in the proportion of students who change their major after the first year in this program
Answers
Answer:
Hence, since z ( - 0.4 ) is greater than ( -1.65 );
we reject H₀, Null hypothesis,
Therefore, There is no evidence that there has been a significance decrease in the proportion of students who change their major after the first year in the program.
Step-by-step explanation:
Given the data in the question;
Let p = 50% = 0.5
Hypothesis;
Null hypothesis H₀ : p ≥ 0.5
Alternative hypothesis H₁ : p < 0.5
x = 48
sample size n = 100
sample proportion p" = x / n = 48 / 100 = 0.48
significance value = 0.5
[tex]Z_\alpha[/tex] = -1.65
Test Statistics;
z = (p" - p) / √( p( 1 - p ) / n )
we substitute
z = (0.48 - 0.5) / √( 0.5( 1 - 0.5 ) / 100)
z = -0.02 / √( 0.25 / 100 )
z = -0.02 / √0.0025
z = -0.02 / 0.05
z = -0.4
Hence, since z ( - 0.4 ) is greater than ( -1.65 );
we reject H₀, Null hypothesis,
Therefore, There is no evidence that there has been a significance decrease in the proportion of students who change their major after the first year in the program
Someone that can help ?!?!
Answers
Answer:
D
Step-by-step explanation:
just by my experience and the look of it, but its super easy to put these in "MathPapa Algebra Calculator", and check. I use it for everything!