The area of the triangle enclosed by 3 sides of a triangle is 6 cm²
What is the area of a triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. To find a triangle's area, use the formula area = 1/2 * base * height.
Given here: The dimensions of a triangle as 6 cm and base 2 cm
We know the area of the triangle is equal to half of the base times height,
A=1/2×6×2
=6 cm²
Hence, The area of the triangle enclosed by 3 sides of a triangle is 6 cm²
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Coraline spent $78 on 4 T-shirts. How much did each T-shirt cost? Explain your answer
Answer:
$19.50
Step-by-step explanation:
You can set up a simple equation where t-shirts are represented by t and cost by c.
$78=4t.
To solve this equation, you want to get the variable isolated. To do this divide four on both sides since the t is multiplied by 4 and to undo multiplication, you divide. So you divide 4t by four, which gets you 1t, and then you divide 78 by 4 (because whatever you do to one side you have to do it to the other) which gives you 19.5. So the remaining equation is
$19.50=1t
And since t represents t-shirts, the equation is saying that $19.50 is equal to one t-shirt.
Combine Like Terms
22+15x=34-17x
Step-by-step explanation:
22+15x=34-17x
So now, the 34 will join the 22 and the 15x will join the -17x
22-34=-17x-15x
-12=-2x
So now, we divide both sides by -2x
and the negative will cancel negative so
x=6
The first company charges $3.50 per cubic foot of rock and $80 for delivery. The second company charges $2.50 per cubic foot of rock and $120 for delivery. Which system of equations can be used to determine the value of the width, x, at which the cost of the two companies, y, is the same?
Answer:
x = 40
Step-by-step explanation:
First company:
Charges = per cubic foot of rock fee + delivery fee
y = $3.50x + $80
Second company:
Charges = per cubic foot of rock fee + delivery fee
y = $2.50x + $120
Equate the charges of both companies
$3.50x + $80 = $2.50x + $120
3.50x - 2.50x = 120 - 80
x = 40
The cost of the two companies, y are equal when x = 40
The regular price of a t shirt is $18 what is the discount price???
Answer: $14.40
Step-by-step explanation:
Please Answer
Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.
Answer: The triangles are not similar.
===============================================
Explanation:
Create a 3x3 table. It has 3 rows and 3 columns.
Above the top row, we'll have the side lengths of triangle VUW
Along the left side of the table, we'll have the lengths of triangle LNM
Refer to the diagram below to see what I mean. I used a spreadsheet program to create the table.
Once you have those table headers set up, you'll divide each possible pair of side lengths between the two triangles. For example, VU/LN = 35/20 = 1.75 which is represented as the green cell in the upper left corner (row1,column1). The other 8 green table cells are filled out the same way. This table is a handy way to keep track of all the terms since it's easy to lose track. Again, refer to the diagram below.
After the table is filled out, we need to ask ourselves: "Does a certain value show up 3 times in the green cells?". If so, then we could have similar triangles assuming this value shows up in every row and every column in some fashion.
Unfortunately, we don't have a value show up 3 times in the green cells. The values 1.4 and 1.75 come close by showing up twice, but not three times.
Since we don't have a value show up 3 times, this means that the sides are not proportional to one another. Therefore, the triangles are not similar.
Which of the tables represents a function? (5 points)
Table A
Inputs
Output
3
1
3
4
2
3
Table B
Input
Output
2
7
5
6
2
9
Table C
Input
Output
1
5
7
2
7
3
Table D
Input
Output
3
4
1
5
8
5
Group of answer choices
Table C
Table D
Table A
Table B
Answer:
It's table D
Step-by-step explanation:
I just took the test.
Answer:
The answer is table D!
Step-by-step explanation:
A tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a total of $3,000 for 10,000 tiles. The equation y – 3,000 = 0.25(x – 10,000) models the revenue of the tile factory, where x is the number of tiles and y is the total cost to the customer.
Which function describes the revenue of the tile factory in terms of tiles sold?
What is the flat fee for delivery?
$
Answer:
1. f(x)=0.25x+500
2.500
Step-by-step explanation:
well, it was right, and to be honest I don't know how I got it right cause I guessed
Solve for x: 2x + 8 = 4x - 10
Answer:
x = 9
Step-by-step explanation:
2x + 8 = 4x - 10 Given
2x + 8 - 2x = 4x - 10 - 2x Subtraction property of equality
8 = 2x - 10
8 + 10 = 2x - 10 + 10 Addition property of equality
18 = 2x
18 ÷ 2 = 2x ÷ 2 Division property of equality
9 = x Answer
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Solution of the given equation 2x+8=4x-10 is x=9.
Solution of an equation are the values to the unknown variables that makes the equality in the equation true
Given equation is :
2x+8=4x-10, consider it as equation (1)
To solve this equation firstly, we isolate the terms which contain x in the LHS and the constant terms in RHS.
Then, the equation will become:
2x-4x = -10-8
Solving the LHS and RHS:
-2x = -18
Divide both the sides by -2, we get:
x = -18/(-2)
x = 9
That means x=9 satisfies the given equation.
Hence, x=9 is the solution of the given equation.
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I mark brainliest! please help!
which graph shows all the values that satisfy 2/9x+ 3> 4 5/9
Answer:
The first option
Step-by-step explanation:
2/9 x + 3 > 4 5/9
2/9x > 4 5/9 - 3
2/9x > 14/9
x > 14/9 ÷ 2/9
x > 7
How would you solve a linear equation with X and Y on the same side
Either the question is printed wrong..
Or the answer should simply be
3x + 4y = 10
Answer:
see explanation
Step-by-step explanation:
To solve, choose a value of x or y, substitute into the equation and evaluate for the other variable.
Choose x = 2, then
3(2) + 4y = 10
6 + 4y = 10 ( subtract 6 from both sides )
4y = 4 ( divide both sides by 4 )
y = 1
Thus (2, 1 ) is a solution to the equation
Given: ∠ABC is a right angle and ∠DEF is a right angle.
Prove: All right angles are congruent by showing that ∠ABC ≅∠DEF.
What are the missing reasons in the steps of the proof?
A flow chart with 4 boxes that are labeled Given, A, B, C from left to right. Box Given contains angle A B C, angle D E F are right angles. Box A contains m angle A B C = 90 degrees and m angle D E F = 90 degrees. Box B contains m angle A B C = m angle D E F. Box C contains angle A B C is-congruent-to angle D E F.
A:
B:
C:
Answer:
Step-by-step explanation:
A right angle is an angle whose measure is equal to [tex]90^{o}[/tex]. As the measure of two right angles equals angle on a straight line, while four right angles equal the sum of angles at a point.
Given: <ABC, <DEF are right angles.
The missing reasons in the steps of the proof are:
A: m<ABC = [tex]90^{o}[/tex] and m<DEF = [tex]90^{o}[/tex] (Meaning of a right angle)
B: m<ABC = m<DEF (By right angle property)
C: <ABC ≅ <DEF (Congruence property of angles)
Answer:
A: definition of right angle
B: substitution property
C: definition of congruent angles
Step-by-step explanation:
A bicycle store costs $ 4050 per month to operate. The store pays an average of $55 per bike. The average selling price of each bicycle is $145. How many bicycles must the store sell each month to break even
Answer:
45
Step-by-step explanation:
By what number should you multiply the 1st equation to cancel the x's using the elimination method?
- 3x – 2y = 2
9x + 3y = 24
The answers are
6
-9
-3
3
Please help ion know wich one and I don’t want to fail the final week
Answer:
-3
Step-by-step explanation:
USLI5
3) Graph the quadratic function given in factored form and identify the key features. Include at least 5 points on your
graph.
y=(- 3)(x + 1)
Zeros:
Axis of Symmetry:
Vertex:
Y-intercept:
Domain:
Range:
U3LT4
4) Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)
3. Graph the given quadratic function in the factored form as shown below.
4. The quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.
The given quadratic function in factored form is y = (x - 3)(x + 1).
Graph of the given quadratic function in the factored form as shown below.
Zeros: The zeros of the function occur when y = 0.
So the zeros of the function are x = 3 and x = -1.
Axis of Symmetry:
The axis of symmetry is x = (3 + (-1)) / 2 = 1.
Vertex:
The vertex is (1, -4).
Y-intercept:
The y-intercept is (0, -3).
Domain: The domain of a quadratic function is all real numbers, so the domain is (-∞, ∞).
Range: Since the coefficient of the x² term is positive, the parabola opens upward. Therefore, the range is y ≥ -4.
Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)
Using the given information, the vertex form equation can be written as:
[tex]y = a(x - (-1))^2 + 3[/tex]
To find the value of 'a,' we can substitute the coordinates (1, -5) into the equation:
-5 = a(1 - (-1))² + 3
-5 = a(2)² + 3
-5 = 4a + 3
-8 = 4a
a = -2
Plugging the value of 'a' back into the equation, we get the quadratic equation in vertex form:
y = -2(x + 1)² + 3
Therefore, the quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 25
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set Up Equation
29° + (4x + 9)° + (x + 17)° = 180°
Step 2: Solve for x
Combine like terms: 5x + 55 = 180Isolate x term: 5x = 125Isolate x: x = 25Braniliest
find the remainder 7,852 ÷ 6
A) 2
B) 3
C ) 4
D) 5
Answer:
C
Step-by-step explanation:
you divide 7852 by 6 to get 1308.6666666 (etc.)
then you multiply 1308 by 6 (so you take away the .6666) to get 7848
your answer is 4
A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each club
member must select for the club to meet the goals?
Answer:
The correct answer is 10n ≥ 470.
Step-by-step explanation:
Since, the school club wants to collect at least 500 canned goods, then we know that they don't want to collect any less: they must collet 500 or more canned goods.
They already collected 30 canned goods, therefore we can subtract this quantity from out goal.
500 - 30 = 470
Since there are 10 club members, the number of members multiplied by "n" the minimum amount of canned goods that they can collect, will equal the total amount of canned goods that they need.
Hope this helps! :D
What is the product of 3.06 and 4.1 rounded to the nearest hundredth?
Answer:
12.55
Step-by-step explanation:
The product of 3.06 and 4.1 rounded to the nearest hundredth is 12.55.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
The given decimal numbers are 3.06 and 4.1.
Now, product =3.06×4.1
= 12.546
To the nearest hundredth is 12.55
Therefore, the product of 3.06 and 4.1 rounded to the nearest hundredth is 12.55.
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I need help with this asap! Please show how you got the awnser! I WILL MARK BRAINLIEST!!!
Answer:
x=15
angle =34
Step-by-step explanation:
find the missing angle
180-146=34
angle=34
so
all angles added together
(5y+3)+(4y+8)+34=180
9y+11+34=180
9y+45=180
9y=135
y=15
Im confused on this can someone help me out
enlist education system found in Nepal
Answer:
Education in Nepal was long based on home-schooling and gurukulas.[citation needed] The first formal school (Durbar School), established by Jung Bahadur Rana in 1853, was intended for the elite. The birth of Nepalese democracy in 1951 opened its classrooms to a more diverse population.[citation needed] Education in Nepal from the primary school to the university level has been modeled from the very inception on the Indian system, which is in turn the legacy of the old British Raj.[1]
Step-by-step explanation:
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Move each point to the table to show what quadrant it is in when plotted on a coordinate plane.
Quadrant 1
Quadrant II
Quadrant III
Quadrant IV
(6,-1)
(-3,4)
(2,4)
(-1,-5)
Answer:
quadrant 1 - (2,4)
quadrant 2 - (-3,4)
quadrant 3 - (-1, -5)
quadrant 4 - (6, -1)
Step-by-step explanation:
quadrant one consists of both x and y being positive.
quadrant two being the x is negative but the y is negative.
quadrant 3 has its x and y both negative.
finally, quadrant 4 has its x positive, but y is negative.
Given f of x equals 5 times x minus 6 for x less than 3, equals x squared for x between 3 and 5 inclusive, and equals 2 times x plus 15 for x greater than 5 find f '(x) and give its domain.
Answer:
D. 5 for x less than or equal to 4, equals 2x for x between 4 and 6 including 6, and equals 4 for x greater than 6 Domain: All real numbers.
Step-by-step explanation:
Find the complete diagram attached
First we need to get the derivative of the functions
For the function f(x) = 5x - 6
Using the formula
If f(x) = axⁿ
f'(x) = naxⁿ⁻¹
For the function f(x) = 5x - 6
f'(x) = 1(5)x¹⁻¹
f'(x) = 5x⁰
f'(x) = 5
For the function f(x) =x²-2
f'(x) = 2x²⁻¹
f'(x) = 2x
For the function f(x) = 4x+10
f'(x) = 1(4)x¹⁻¹
f'(x) = 4x⁰
f'(x) = 4
Get the domain
The domain is the value of the input variable x for which the functions exists. For the functions given, the domain will be on all real numbers i.e the functions will exists for any value of x on the number line.
Hence Option D is correct
Answer:
Was the answer above correct????
Step-by-step explanation:
the real square root of -16
Answer:
ur answer is 4 hope it helps
Find the measure of the indicated side. Round to the nearest tenth.
Answer:
x=23.5
Step-by-step explanation:
[tex]cos59.3=\frac{12}{x}\\x(cos59.3)=12\\x=\frac{12}{cos59.3}\\x=23.5[/tex]
Could someone create Equations & Explanations based on this question, because I need to solve using substitution and later modify it to create a system of inequalities.
Answer:
3 hours
Step-by-step explanation:
If both the cars are moving in the same direction,
Speed of orange sports car = 60 miles per hour
Since, this car has already moved for 1 hour,
Distance covered by the sports car = speed × time
= 60 × 1
= 60 miles
Speed of the green van = 30 miles per hour
Since, green van has already moved for the duration = 3 hours
Distance covered by the green van = speed × time
= 40 × 3
= 120 miles
Therefore, distance between sports car and green van = 120 - 60
= 60 miles
Relative speed of orange sports car with respect to green van = Speed of sports car - speed of green van
= 60 - 40
= 20 miles per hour
Time taken by the orange sports car to cover 60 miles (Distance between sports car and green van) = [tex]\frac{\text{Distance between the car and van}}{\text{Relative speed of the sports car}}[/tex]
= [tex]\frac{60}{20}[/tex]
= 3 hours
Therefore, orange sports car will take 3 hours to pass the green mini green van.
I have a half-full bottle of water and it has more than 8 ounces in it. What would be the expression
Answer:
The equivalent expression is [tex]\frac{1}{2}\cdot V_{max} > 8\,oz[/tex].
Step-by-step explanation:
The best approach consists in translating the sentence given in the question into mathematical terms until an expression is complete:
(i) I have a half-full bottle of water
Translation: I use a bottle with a maximum volume capacity [tex]V_{max}[/tex], measured in ounces, a half of it is full of water:
[tex]\frac{1}{2}\cdot V_{max}[/tex]
(ii) And it has more than 8 ounces in it
Translation: The volume occupied by the water is greater than 8 ounces. Hence, we get the following inequation:
[tex]\frac{1}{2}\cdot V_{max} > 8\,oz[/tex]
The physical education teacher assigns each student a number from 1 to 100 and uses a
computer to randomly generate a list of 30 numbers to select the students for the
sample. What type of sampling is being used?
Answer:
Simple random sampling
Step-by-step explanation:
The type of sampling used here is simple random sampling(SRS) because SRS is defined as the sampling technique where a group of subjects known as sample are selected for study from a larger group known as population. Thereafter, each individual will be entirely chosen by chance and then each member of the population will have an equal opportunity of being included in the sample.
Thus question given corresponds to this definition.
Please help me :(, I want to understand how to prove it
Answer:
We know that angels 5 and 6 are vertical angles, and that vertical angles are equal. We also know that angles 7 is equal to angle 6, in turn meaning that angle 7 is also equal to angle 5. Now we look at angle 8. We can see that angle 8 is vertical to angle 7, meaning its also equal to angle 7. We already established before that angle 7 is equal to angle 5, so if angle 8 is equal to angle 7 which is equal to angle 5. Then angle 8 is equal to angle 5.
Hope this helps! Message me if you still don't understand
Answer:
basta ver os ângulos e ver oque sobrar e sua resposta boa noite espero ter ajudado
When sandy and allen's mother decorates the house by herself, it takes her 5 hours.When both Sandy and Allen help, the three can finish the job in 2.5 hours.
If you're asking how this is possible,
Answer and explanation:
If Sandy and Allen's mother does the job in 5 hours
And Allen and Sandy's contributions completes the job in 2.5 hours
5 hours - 2.5 hours =2.5 hours
Allen and Sandy's contribution is half of the time it took only Allen and Sandy's mother= 2.5 hours
Therefore Allen and Sandy together will take 2.5×2 = 5 hours to complete the job alone without their mother
A similar example: if it takes one person 2 hours to peel 5 potatoes and it takes 1 hour to peel same number of potatoes if a second person helps, then this second person reduces the time used by 1 hour(50%) and would take 2 hours to complete the work.