If you make an identical copy of a triangle, rotate the copy 180 degrees and combine the two triangles, you will form a parallelogram.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
If you make an identical copy of a triangle, rotate the copy 180 degrees and combine the two triangles, you will form a quadrilateral, specifically a parallelogram.
The two identical triangles, when combined in this way, will have their bases aligned and their vertices opposite each other, forming two pairs of parallel sides.
A parallelogram, which is a quadrilateral with opposite sides that are parallel and congruent.
Hence, If you make an identical copy of a triangle, rotate the copy 180 degrees and combine the two triangles, you will form a parallelogram.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ3
What is the value of x in the proportion below 5/60 =8/x
[tex] \frac{5}{60} = \frac{8}{x} \\ 5x = 60 \times 8 \\ x = \frac{60 \times 8}{5} \\ x = 12 \times 8 \\ x = 96[/tex]
So x=96.
Hope it helps...
Regards;
Leukonov/Olegion.
[tex]
\frac{5}{60}=\frac{8}{x} \\
5x=8\cdot60 \\
5x=480 \\
\boxed{x=96}
[/tex]
Hope this helps.
r3t40
23 cm
8 cm
8 cm
8 cm
The area of one of the bases of the figure shown above is about 15.6 cm?
What is the surface area, in cm2, of the figure? Round your answer to the
nearest tenth
Answer:
445.2 square cm
Step-by-step explanation:
The surface area consists of area of two bases and area of three leteral faces. Each lateral face is a rectangle with length of 23 cm and width of 6 cm.
The area of rectangle is
[tex]A_{rectangle}=\text{length}\times\text{width}[/tex]
So,
[tex]A_{rectangle}=23\times 6=138\ cm^2[/tex]
The area of base is given as [tex]15.6\ cm^2[/tex]
Thus, the surface area is
[tex]SA=2A_{base}+3A_{lateral\ face}\\ \\SA=2\cdot 15.6+3\cdot 138=445.2\ cm^2[/tex]
What is the minimum of the sinusoidal function?
Enter your answer in the box.
•A sinusoidal function is a function in sine or in cosine •The amplitude of a graph is the distance on the y axis between the normal line and the maximum/minimum. It is given by parameter #a# in function #y = asinb(x - c) + d or y = acosb(x - c) + d# •The period of a graph is the distance on the x axis before the function repeats itself. Hope this helps you! :)
Which of the following equations represents the line with a slope of -7/4 and a y-intercept of -11?
y = -7/4x - 11
y = 7/4x + 11
y = -7/4x + 11
y = 7/4x - 11
mention the term
blank abuse is the most common form of discrimination.
Final answer:
Discrimination, particularly in the labor market as demonstrated by disparities in job callbacks and opportunities based on race, gender, and disability, represents a systemic issue that persists despite legal protections against such practices.
Explanation:
Discrimination is the unfair treatment of individuals or groups based on characteristics such as race, gender, or religion. One of the most common forms of discrimination occurs in the labor market, where individuals may face disparities in job opportunities and wages. An example of this is how studies have shown that individuals with white sounding names receive more callbacks for interviews than African-American names, indicating racial discrimination. Furthermore, women and those disclosing a disability also face significant hurdles in the job market, highlighting gender discrimination and disability discrimination. Despite the existence of laws against discrimination in the United States and global conventions from the United Nations aimed at eliminating all forms of discrimination, these practices unfortunately persist. Institutional discrimination extends beyond individual acts of prejudice to include systemic issues such as white privilege, which confers benefits upon the dominant group often without their conscious acknowledgment.
What is 2x2x2 equal to?
Answer:
The answer is 8.
Step-by-step explanation:
Go from left to right.
2x2x2
Take the first two numbers: 2 x 2; this equals 4.
Take that number and multiply by the next number (2): 4 x 2 = 8
Hope this helps! :)
The value of 2 x 2 x 2 using the multiplication operation gives the result 8.
The expression 2 x 2 x 2 represents the multiplication of three 2's together.
To simplify the expression, perform the multiplication operation:
= 2 x 2 x 2
= 4 x 2
= 8
Therefore, 2 x 2 x 2 is equal to 8.
In other words, multiplying three 2's together results in the value of 8.
This can be visualized as multiplying 2 by 2 to get 4 and then multiplying that result by 2 again to obtain 8.
Learn more about Multiplication here:
https://brainly.com/question/11527721
#SPJ6
assume that the moon is a sphere. what is the volume of the moon if its diameter is 3,476 km? Express your answer in scientific notation to two significant digits.
Answer:
Volume=2.2*10^10 km^3
Step-by-step explanation:
Given
Diameter of moon=d=3476 km
The formula for the volume of sphere is:
V=4/3 πr^3
As it can be clearly seen that the formula uses radius, and we are given diameter. So we have to find the radius first
So,
radius=r=d/2
=3476/2
=1738 km
Now putting the value of r and pi in the formula:
V=4/3*3.14*(1738)^3
=12.56/3* 5249879272
= 21979494552.106
Rounded off to two significant digits:
Volume=2.2*10^10 km^3
Answer:
[tex]V=2.2\ x\ 10^{10} km^3[/tex]
Step-by-step explanation:
The formula to calculate the volume of a sphere is:
[tex]V=\frac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere.
In this case we do not know the radius of the sphere, but we know the diameter.
By definition the diameter of a sphere is equal to twice the radius. This is:
[tex]d = 2r[/tex]
[tex]r = \frac{d}{2}[/tex]
In this case d= 3,476 km
So
[tex]r = \frac{3,476}{2}[/tex]
[tex]r = 1738\ km[/tex]
Finally
[tex]V=\frac{4}{3}\pi (1738)^3[/tex]
[tex]V=2.20\ x\ 10^{10} km^3[/tex]
deon is 4 years older than andy. Is the relationship between deon's age and andy's age a proportional relationship
Answer:
Yes it is.
Step-by-step explanation:
It is increasing by 4 each year so it would be a linear graph if you know what I mean.
Please help me with all of it
Hello There!
Number 2
3.50x=40
Then, divide both of the numbers by 3.50.
You end up with X=11.42 is greater or equal to 12 movies
Number 3
5h+3
5 ‘5’ + 3 = 30
Number 4,5,6 are attached in images below.
Rose bought three feet of ribbon how many inches of ribbon did Rose buy
Answer:
36 I used a calculator
Step-by-step explanation:
Please give me brainliest you get point by answering questions and then once you answer 1 you can give me brainliest by clicking the crown
Answer:
36 inches of ribbon
Step-by-step explanation:
There are 12 inches in each foot of ribbon, 12 times 3 is 36. She bought 36 inches of ribbon.
What is the solution to this system of liner inequality 3x-2y=14,5×+y=32
My work is shown up above in first picture.
Second picture is checking my answer.
For this case we have a system of two equations with two unknowns:
[tex]3x-2y = 14\\5x + y = 32[/tex]
We multiply the second equation by 2:
[tex]3x-2y = 14\\10x + 2y = 64[/tex]
We add the equations:
[tex]13x = 78\\x = \frac {78} {13}\\x = 6[/tex]
We substitute the value of "x" in the following equation, and we clear the value of "y":
[tex]5 (6) + y = 32\\30 + y = 32\\y = 32-30\\y = 2[/tex]
So, the solution is: (6,2)
ANswer:
(6,2)
What is the length of AD
What is AD? There is no picture...
Final answer:
The length of AD is calculated using the given formula, which is a proportion involving the length of AC and the variables a, c, and d. One must plug in the values for these variables and solve the equation to find the length of AD.
Explanation:
To find the length of AD, we use the given formula which indicates a proportional relationship between the lengths on a line segment. The formula involves variables that define the lengths of specific segments of the line, as well as the ratios between them. In this case, the formula is (Length AD) = (Length AC) × (a-d)/(a-c). Here's a step-by-step explanation:
Identify the length of AC. This is the distance between points A and C.Determine the values of a, c, and d. These values are typically provided or can be calculated based on additional information about the geometric configuration.Substitute the values into the formula and calculate the length of AD.This formula can be used to calculate the length of a line segment extending beyond the segment AC or that lies between points A and C, depending on the values of the variables involved.
In a class of 100 students, 24 take Chorus, 33 take Band, and 10 take both Chorus and Band. How many students in the class are not enrolled in either Chorus or Band? (3 - 4 points) SHOW WORK!
ANSWER
The number who are not enrolled in either Chorus or Band is 53
EXPLANATION
The given information can be represented on a Venn diagram as shown above.
Let x represent the number of students who are not enrolled in either chorus or band.
Then
[tex]x + 14 + 10 + 23 = 100[/tex]
[tex]x + 43 = 100[/tex]
This implies that
[tex]x = 100 - 43[/tex]
[tex]x = 57[/tex]
The number who are not enrolled in either Chorus or Band is 53
What is the value of i^20+1?
A. 1
B. –1
C. –i
D. i
ANSWER
[tex]{i}^{20} + 1 =2[/tex]
EXPLANATION
The given expression is;
[tex] {i}^{20} + 1[/tex]
Recall that, in complex numbers
[tex] {i}^{2} = - 1[/tex]
We use this identity to simplify the given expression:
[tex]{i}^{20} + 1 =( {i}^{2})^{10} + 1[/tex]
This implies that:
[tex]{i}^{20} + 1 =( - 1)^{10} + 1[/tex]
[tex]{i}^{20} + 1 =1+ 1[/tex]
[tex]{i}^{20} + 1 =2[/tex]
what is the GCF of 6 and 15
Answer:
3
Step-by-step explanation:
obtain the GCF by listing factors of both numbers
factors of 6 are : 1, 2, 3, 6
factors of 15 are : 1, 3, 5, 15
The common factors are : 1, 3
the GCF is 3
i’m confused on how to answer this question so please help!
[tex] \frac{9}{8} [/tex]
Step-by-step explanation:
you would want to get rid of the -1/2 so you have to add one half to the other side of the equation and since 1/2 equals 4/8 the equation would be
4/8 plus 5/8 which equals 9/8
HURRY PLEASE
e/2=3
e=___ ?
Answer:
6
Step-by-step explanation:
To solve for e, it must be alone on one side of the equation
Your equation is:
e/2 = 3
To get rid of the divided by 2, you multiply both sides by 2 since multiplication is the opposite of divison.
So:
e/2 = 3
[Multiply both sides by 2]
e = 6
So, e = 6
I hope this helps! :)
10.5, 14, 17.5, 21, 24.5, ...
What is an explicit rule for this sequence in simplified form?
The explicit rule for the given sequence is to add 3.5 to each previous term.
Explanation:The given sequence is:
10.5, 14, 17.5, 21, 24.5, ...
The explicit rule for this sequence is that each term is obtained by adding 3.5 to the previous term. So, the nth term of the sequence can be represented by the formula:
Tn = Tn-1 + 3.5
where Tn is the nth term of the sequence and Tn-1 is the previous term.
Final answer:
The explicit rule for the sequence 10.5, 14, 17.5, 21, 24.5, ... is a_n = 7 + 3.5n.
Explanation:
The sequence given is 10.5, 14, 17.5, 21, 24.5, ... and we need to find an explicit rule for this sequence in simplified form. Observing the sequence, we see that each term is increasing by 3.5. Therefore, the common difference in this arithmetic sequence is 3.5. We can express the nth term of the sequence using the formula:
an = a1 + (n - 1)d, where a1 is the first term and d is the common difference.
Since the first term a1 is 10.5 and d is 3.5, the rule for the nth term is:
an = 10.5 + (n - 1)(3.5)which simplifies to an = 7 + 3.5n.
how do you find the mean and median in a dot plot?
Mean is the average so just add up all the numbers in your data set and divide by the total for numbers that there are.
Ex. (5, 7, 8, 9)
5+7+8+9=29
29/4=7.25
7.25 is the Mean.
Median is the number that is directly in the middle so just count inwards from each side after you ordered your data set. If you get two numbers just add them both and divide by two.
Choose the correct option that explains what steps were followed to obtain the system of equations below
Pleaseeeeee help
Answer:
option C is the correct answer
Step-by-step explanation:
System A: System B:
-x - 2y = 7 ........(1) -x - 2y = 7 .......(3)
5x - 6y = -3 ........(2) -16y= 32 ........(4)
Solution for system A: ( -3, -2)
For option A
Multiply the first equation by 3
3(- x - 2y) = 3(7) ⇒ - 3x - 6y = 21 ........... (5)
Add equation 2 and 5
5x - 6y = -3
- 3x - 6y = 21
2x -12y = 18 ⇒ 2( x - 6y ) = 2( 9 ) ⇒ x - 6y = 9
Option A is not equal to equation in system B so now we check option B.
For option B
Multiply the first equation by -5
-5(- x - 2y) = -5(7) ⇒ 5x + 10y = -35 ........... (6)
Add equation 2 and 6
5x - 6y = -3
5x + 10y = -35
10x + 4y = -38 ⇒ 2( 5x + 2y ) = 2(-19) ⇒ 5x + 2y = -19
Option B is not equal to equation in system B so now we check option C.
For option C
Multiply the first equation by 5
5(- x - 2y) = 5(7) ⇒ - 5x - 10y = 35 ........... (7)
Add equation 2 and 7
5x - 6y = -3
- 5x - 10y = 35
0 - 16y = 32 ⇒ -16y = 32
Option C is equal to equation in system b so now we check if the solution to system B is same as system A.
Solution to system B:
First, we find value of y from equation 4:
-16y = 32 ⇒ y = [tex]\frac{32}{-16}[/tex] ⇒ y = -2
Now, we put value of y in equation 3 to find value of x:
-x - 2y = 7 ⇒ -x - 2(-2) = 7 ⇒ -x + 4 = 7 ⇒ -x = 7 - 4 ⇒ -x = 3
multiply both sides by -1
-1 × (-x) = -1 × (3) ⇒ x = -3
Solution of system B = (-3, -2)
Solution of system B is the same as system A, so option C is correct.
What is the area of this figure? Enter your answer in the box
The answer should be 51
Check the picture below.
so the figure is really two triangles and one trapezoid.
the yellow triangle has a base of 3, height of 2.
the pink triangle has a base of 6, height of 1.
the trapezoid has a height of 6, and bases of 7 and 9.
[tex]\bf \stackrel{\textit{area of yellow triangle}}{\cfrac{1}{2}(3)(2)}+\stackrel{\textit{area of pink triangle}}{\cfrac{1}{2}(6)(1)}+\stackrel{\textit{area of trapezoid}}{\cfrac{6(7+9)}{2}} \\\\\\ 3+3+48\implies 54[/tex]
Solve this equation using the distributive property 3=5(x+7)
Answer:
x = - 6.4 or
x = - 6 2/5
Step-by-step explanation:
3 = 5*x + 7*5 Remove the brackets
3 = 5x + 35 Subtract 35 from both sides
3 - 35 = 5x + 35-35 Combine
- 32 = 5x Divide by 5
-32/5 =5x/5
-6.4 = x
or
- 6 2/5
Randy has 7 coins in his pocket, all with a different date. He pulls out 4 coins each time. How many different combinations can he get?
Answer:
It's 35
Step-by-step explanation:
I took a test that had this question on it and it said this was the right answer.
Different combination to pulls out 4 coins each time from 7coins is equals to 35.
What is combination?
" Combination is defined as the selection of the objects from the given set where arrangement of order does not matter."
Formula used
[tex]nC_{r} = \frac{n!}{(n-r)!r!}[/tex]
According to the question,
Total number of coins 'n' = 7
Number of coins pulls out each time 'r' = 4
Substitute the value in the formula to get different combination,
[tex]7C_{4} = \frac{7!}{(7-4)!4!}[/tex]
[tex]= \frac{(7)(6)(5)(4!)}{(3!)(4!)} \\\\=\frac{(7)(6)(5)}{(3)(2)(1)}\\\\=(7)(5)\\\\=35[/tex]
Hence, different combination to pulls out 4 coins each time from 7coins is equals to 35.
Learn more about combination here
https://brainly.com/question/19692242
#SPJ2
How to write 24.58 form?
I got something different is this right or wrong.
Answer:
That is correct.
Step-by-step explanation:
2 times 10=20
4 times 1=4
5 times 0.1=0.5
8 times 0.01=0.08
20+4+0.5+0.08=24.58
That is correct.
Oh now I see. Yes that is correct
So this is what I got before, in the other question you asked, and the expanded form on the paper is the same thing as this. The way I wrote it is just another version, both are correct:
20.00 + 4.00 + 00.50 + 00.08
(2 x 10) + (4 x 1) + (5 x 0.1) + (8 x 0.01)
Multiply all the numbers together in each parentheses set and you'll get the same thing as the other problem I answered!
In the first set of parentheses (2 x 10) when solved is equal to 20
20.00 + 4.00 + 00.50 + 00.08
In the second set of parentheses (4 x 1) when solved is equal to 4
20.00 + 4.00 + 00.50 + 00.08
In the third set of parentheses (5 x 0.1) when solved is equal to .5
20.00 + 4.00 + 00.50 + 00.08
In the fourth set of parentheses (8 x 0.01) when solved is equal to 00.08
20.00 + 4.00 + 00.50 + 00.08
Hope this was way more helpful!
which of the following graphs represents a function that has a positive leading coefficient
Answer:
Options B, C, and D.
Step-by-step explanation:
The first graph is a parabola. Since it opens downwards, it means the leading coefficient is negative.
The third graph is also a parabola. Since it opens upwards, it means it has a positive leading coefficient.
The second and fourth graphs represents a polynomial with an odd degree. Since both polynomial goes rises on the left and keeps rising on the right, their leading coefficients are positive.
The correct options are:
B, C , and D
Answer: graph b and graph c and graph D
Step-by-step explanation: Just took the quiz
need help please !!!!
Answer:
11
Step-by-step explanation:
3/7 x 14/1 = 42/7 = 6
5/8 x 8/1 = 40/ 8 =5
6+5= 11
Hope this helps
Sorry if it's wrong
If it's right please mark brainliest :D
A science class designed a container to protect an egg. Each prototype is launched from a machine at 9.4 meters per second from a roof 40 meters tall. The function f(t) = –4.9t2 + 9.4t + 40 represents the path from the building to the ground on the t-axis, where t is the amount of time since the launch.
How do the mathematical range and reasonable range compare?
mathematical: y ≤ 52
reasonable: y ≥ 0
mathematical: y ≤ 52
reasonable: y ≥ 40
mathematical: y ≤ 52
reasonable: 0 ≤ y ≤ 52
mathematical: y ≤ 52
reasonable: 40 ≤ y ≤ 52
Answer:
• mathematical: y ≤ 52
• reasonable: 0 ≤ y ≤ 52
Step-by-step explanation:
The reasonable range is the set of heights between the maximum height and the ground (y=0).
___
The maximum height is about 44.51 meters, so values between that and 52 meters are not in the reasonable range. A maximum height of 52 meters requires an initial velocity of about 15.4 m/s.
Answer:
Step-by-step explanation:
C
Consider the graph which function contains the points shown on the graph
Answer:
B, f(x) = 2x + 6 since y = mx + c
Option: B is the correct answer.
The function is:
B. [tex]f(x)=2x+6[/tex]
Step-by-step explanation:By looking at the graph we observe that the three points follow a linear path.
This means that there will exist a line that passes through these three points .
The line will pass through (1,8) , (2,10) , (3,12)
Hence, the equation of line using two points (1,8) and (2,10) is:
[tex]y-8=\dfrac{10-8}{2-1}\times (x-1)\\\\i.e.\\\\y-8=\dfrac{2}{1}\times (x-1)\\\\i.e.\\\\y-8=2(x-1)\\\\i.e.\\\\y-8=2x-2\\\\i.e.\\\\y=2x-2+8\\\\i.e.\\\\y=2x+6[/tex]
A line has gradient -2 and y-intercept 5. Find its x-intercept. Please help ASAP!!
Answer:
x = 2.5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
here m = - 2 and c = 5, so
y = - 2x + 5 ← equation of line
To find the x- intercept let y = 0, that is
- 2x + 5 = 0 ( subtract 5 from both sides )
- 2x = - 5 ( divide both sides by - 2 )
x = 2.5 ← x- intercept ⇒ (2.5, 0 )
could someone write y= x2 +10x + 21 in factored form ?
y= x^2+20x+21
( x+3)(x+7)
or (x+7)(x+3)
Doesn't matter which one comes first
(x+3)(x+7) Answer
(x+7)(x+3) Answer
Answer:
( x + 7 ) ( x + 3 )
Solutions are -7 , -3
Step-by-step explanation:
x² + 10 x + 21
x ( x + 3 ) + 7 ( x + 3 ) = 0
( x + 7 ) ( x + 3 )
Factors = 3 , 7
Sum = 21
Product = 10