The perimeter of the triangle formed by the points B(7,-9), C(7,-2) and D(0,0) is 25.68 square units.
Perimeter is defined as the distance or the enclosed path that surrounds the 2-D shapes or polygon. The perimeter of a triangle is the sum of all the three sides of a triangle.
The perimeter of a triangle formed by the points B(7,-9), C(7,-2) and D(0,0) can be determined by finding the distance between two points.
The distance between two points A(x1,y1) and B(x2,y2).
√[(x2-x1)²+(y2-y1)²]
Therefore, BC = √(7-7)²+(-2+9)²
BC = √49
BC = 7 square units.
and CD = √(0-7)²+(0+2)²
CD = √53
CD = 7.28 square units.
and DB = √(7-0)²+(-9-0)²
DB = √130
DB = 11.40 square units.
Therefore, perimeter of triangle formed from given points is BC+CD+DB = 7+7.28+11.40 = 25.68 square units.
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A janitor had 2/3 of a spray bottle of cleaning solution. He used 1/6 of a solution of the day .How much does a bottle did he use?
Answer:
3/6
Step-by-step explanation:
2/3 = 4/6
(multiply 2 by 2 = 4, multiply 3 by 2 = 6)
4/6 - 1/6 = 3/6
Answer:
2x2/3x2-1/6
4/6-1/6=3/6=1/2
he used half for the day
hope this helps or may also he correct •-•
four less than the product of 2 and a number g
The expression that represents the statement "four less than the product of 2 and a number g" is 2 g - 4.
We are given a statement:
four less than the product of 2 and a number g
We need to form an expression to represent that statement.
An expression is a combination of variables and constants by using the various operations of mathematics like addition, subtraction, division and multiplication.
So, first we will find the product of 2 and a number g.
This is:
2 × g = 2 g
Now, we will subtract 4 from the expression:
2 g - 4
Therefore, the expression that represents the given statement "four less than the product of 2 and a number g" is 2 g - 4.
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Choose the correct statement.
-2 < -3
1 = -1
5 > -6
The answer is only 1
AB=2x+7,AC=7x-3,BC=4x-2
The value of x on the line segment is 8
How to determine the value of x?The given parameters are:
AB = 2x + 7
AC = 7x - 3
BC = 4x - 2
The above means that the point B is on the line segment AC
So, we have:
AC = AB + BC
This gives
2x + 7 + 4x - 2 = 7x - 3
Evaluate the like terms
-x = -8
Divide both sides by -1
x = 8
Hence, the value of x on the line segment is 8
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The fairs train ride covers a distance of 3 miles in 20 minutes what is the speed for the ride in miles per minute
Answer:
0.15 miles per minute or 9 miles per hour
Step-by-step explanation:
4. Joyce works at Coronado's Furniture. She is paid on commission. She receives
10% of her first $900 in sales and 15% of the balance of her sales. Last week she
earned $750. What was the total value of the furniture she sold?
The total value of the furniture she sold is $4400.
How to compute the value?Let the remaining sales be represented by x.
She receives 10% of her first $900 in sales and 15% of the balance of her sale.
This will be:
(10% × $900) + (15% × x) = 750
90 + 0.15x = 750
Collect like terms
0.15x = 750 - 90
0.15x = 660
Divide
x = 660/0.15
x = 4400
Therefore, the total value is $4400.
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a piece of wire 100 inches long is cut into two pieces and each bent into the shape of a square. if the sum of the areas of the two squares is 400 in2, find the length of each piece of wire.
The length of the pieces of wire include 23.5425 inches and 75.4565 inches.
How to calculate the length?Given the total length of wire is
X+Y=100
Y=100-X
Then we bend the two pieces into squares so that the sides of each square are X/4 and (100-X)/4. Therefore
(X/4)² + [(100-X)/4]² =400
X² +10000-200X +X² =6400
X²-100X+1800=0
Solving the equation
X = 76.4565 inches and X=23.5425 inches
Therefore, the length of the pieces of wire include 23.5425 inches and 75.4565 inches.
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The vertices of ABCDE are A(-6, 0), B(-3, 0), C(0, -3), D(-3, -6), and E(-6, -3). Find the vertices
of the image after a translation using the rule (x,y) → (x + 9, y - 6) and a dilation with a scale
factor of 1/3 centered at the origin.
The coordinates of the image of the vertices of the polygon are A''(x, y) = (1, - 2), B''(x, y) = (2, - 2), C''(x, y) = (0, - 1), D''(x, y) = (- 1, - 2) and E''(x, y) = (- 2, - 1).
What are the images of the vertices of a polygon by using rigid transformations?
Rigid transformations are transformations applied on geometric loci such that Euclidean distances in such constructions are conserved. Translations and dilations are common examples of rigid transformations.
If we know that A(x, y) = (- 6, 0), B(x, y) = (- 3, 0), C(x, y) = (0, - 3), D(x, y) = (- 3, - 6) and E(x, y) = (- 6, - 3), then the coordinates of the image are determined below:
Translation
A'(x, y) = (- 6, 0) + (9, - 6)
A'(x, y) = (3, - 6)
B'(x, y) = (- 3, 0) + (9, - 6)
B'(x, y) = (6, - 6)
C'(x, y) = (0, - 3) + (9, - 6)
C'(x, y) = (9, - 9)
D'(x, y) = (- 3, - 6) + (9, - 6)
D'(x, y) = (6, - 12)
Dilation
A''(x, y) = (1 / 3) · (3, - 6)
A''(x, y) = (1, - 2)
B''(x, y) = (1 / 3) · (6, - 6)
B''(x, y) = (2, - 2)
C''(x, y) = (1 / 3) · (0, - 3)
C''(x, y) = (0, - 1)
D''(x, y) = (1 / 3) · (- 3, - 6)
D''(x, y) = (- 1, - 2)
E''(x, y) = (1 / 3) · (- 6, - 3)
E''(x, y) = (- 2, - 1)
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Mrs. Williams made her homemade chicken soup. She made 6 3/4 cups of soup. Each serving size was 1 1/8 cup. How many servings are there?.
Answer: there are 6 servings
Step-by-step explanation:
[tex]\displaystyle\\6\frac{3}{4}:1\frac{1}{8} =\\\\\frac{6*4+3}{4} :\frac{1*8+1}{8} =\\\\\frac{24+3}{4}:\frac{8+1}{8}=\\\\\frac{27}{4}:\frac{9}{8}=\\\\\frac{27}{4}*\frac{8}{9} =\\\\ \frac{27*8}{4*9} =\\\\\frac{3*9*4*2}{4*9} =\\\\3*2=\\\\6[/tex]
a radioactive substance decays exponentially. a scientist begins with 180 milligrams of a radioactive substance. after 33 hours, 90 mg of the substance remains. how many milligrams will remain after 43 hours?
The radioactive substance remaining after 43 hours is: 62.7273 mg by unitary method.
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
Now,
Given that 180 mg is present at t = 0 hours.
After t = 33 hours, substance left = 90mg
By unitary method, after = 1 hour, substance left = [tex]180-\frac{90}{33}=180 -\frac{30}{11}[/tex]mg
The substance left after t = 43 hours = [tex]180 - \frac{30\times43}{11}= 180 - \frac{1290}{11}=180 - 117=62.7273mg[/tex]
Hence, The radioactive substance remaining after 43 hours is: 62.7273 mg by unitary method.
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Harry tosses a nickel 4 times. The probability that he gets at least as many heads as tails is.
11. m<2-34°. Find m<4 and explain how you know. (2 points)
Answer:
21
Step-by-step explanation:
The temperature in California was 105 on Thursday. The temperature in the North Pole was -20. What is the difference between the two temperatures.
Answer:
125
Step-by-step explanation:
105 - (-20) = 105 + 20 = 125
what is the standard quadratic form if the vertex is (4,7) and in case yo need it another value is (6,19). I REALLY NEED THIS PLEASE!!!
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]vertex \begin{cases} x=4\\ y=7 \end{cases}\implies y=a(x-4)^2 +7~\hfill \textit{we also know that} \begin{cases} x=6\\ y=19 \end{cases} \\\\\\ 19~~ = ~~a(6-4)^2 +7\implies 12=a(2)^2\implies \cfrac{12}{(2)^2}=a\implies 3=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\LARGE \begin{array}{llll} y=3(x-4)^2 + 7 \end{array}} ~\hfill[/tex]
Find the coordinates of the centroid of the triangle with the given vertices. (Lesson 5-2)
U(-5,5), K(-5,-1), L(1,2)
The triangle with vertices located at U(-5 , 5), K(-5 , -1), and L(1 , 2) has its centroid located at (-3 , 2).
The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.
To get the centroid of a triangle, use the formula given by:
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
where C is the centroid of the triangle located at (x , y)
x1, x2, and x3 are the x-coordinate of the vertices of the triangle
y1, y2, and y3 are the y-coordinate of the vertices of the triangle
Let Point 1(x1 , y1) = U(-5 , 5)
Point 2(x2 , y2) = K(-5 , -1)
Point 3(x3 , y3) = L(1 , 2)
Plug in the values in the formula.
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
C(x ,y) = [(-5 + -5 + 1)/3 , (5 + -1 + 2)/3]
C(x ,y) = (-9/3 , 6/3)
C(x ,y) = (-3 , 2)
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Pls help I’ll give Brainliest
Answer: I hope this helps.
Step-by-step explanation:
each side of the base of a right octagonal prism is 7 in. long. the altitude of the prism measures 12 in. find the lateral area.
The lateral area of right octagonal prism = 672 in^2.
Which octagonal prism is appropriate?An example of a prismatic uniform polyhedron is the octagonal prism, or op. There are 2 octagons as well as 8 squares in it. Each vertex connects two squares and one octagon. As the name implies, it is an octagonal-based prism.
Describe a 3D figure.Three-dimensional geometry is a solid figure, item, or shape comprising three dimensions—length, breadth, as well as height.. Three-dimensional structures have height, which is equivalent to thickness or depth, unlike two-dimensional shapes.
According to the given data:Solve for lateral surface area:
altitude = 12
base = 7
AL=8ah
Putting the value we get:
AL=8 * 12 * 7
Al = 672 in^2
the lateral area of right octagonal prism = 672 in^2.
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Which expression is equivalent to −30+(−40)+(−70) ?
−(30−40)+(−70)
negative open parenthesis 30 minus 40 close parenthesis plus open parenthesis negative 70 close parenthesis
30 + 40 + 70
30 + 40 + 70
−30+(−70)+(−40)
negative 30 plus open parenthesis negative 70 close parenthesis plus open parenthesis negative 40 close parenthesis
−30−(40−70)
The answer choice which correctly represents an equivalent expression to that which is given as in the task content is; −30 + (−70) + (−40).
Which expression is equivalent to that which is as given in the task content?It follows from the task content that the expression whose equivalent is to be determined is; −30 + (−40) + (−70).
Therefore, since it follows from the associative property of addition that;
a + b + c = a + c + b.
Therefore, same can be said for the expression as given in the task content where;
-30 + (-40) + (-70) = -30 + (-70) + (-40).
Ultimately, the required equivalent expression is; −30+(−70)+(−40); negative 30 plus open parenthesis negative 70 close parenthesis plus open parenthesis negative 40 close parenthesis
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2 1/3 + 6 3/5
Give me step by step pls
Answer: 8 14/15
Step-by-step explanation:
2 1/3 + 6 3/5 =
2+1/3 + 6+3/5=
2+6+1/3+3/5=
8+1/3+3/5=
8+(1/3+3/5)*15/15=
8+(1*15/3+3*15/5)/15=
8+(15/3 + 45/5)/15=
8+(5+9)/15=
8+14/15=8 14/15
-5 =n-3
bjjvyuvfjjkooyfv
Answer:
-2 = nStep-by-step explanation:
-5 = n - 3
- 5 + 3 = n
-2 = n
--------------
check
-5 = -2 - 3
-5 = -5
the answer is good
a basket contains 3 types of fruit. The apples weigh 4/9 kilogram, the oranges weigh 1/6 kilogram, and the pears weigh 5/18 kilogram. What is the total weight of the fruit in this basket?
A) 10/33
B)15/18
C)8/9
a set of data has ten numbers. the mean of the data is 12 and the standard deviation is 0. what values could make up a data set with these statistics?
Answer:
well 22
Step-by-step explanation:
what is the answer to the answer to the answer to the answer to the same the whole of I will tell is the best of the whole time I will tell u won't let go and see if you have any questions or concerns please visit
proof let a be a square matrix of order n. (a)show that is symmetric. (b)show that is skew-symmetric. (c)prove that a can be written as the sum of a symmetric matrix b and a skew-symmetric matrix c, a
(a)Symmetric matrix -
Let matrix A be of order 3×3 =
[tex]\left[\begin{array}{ccc}1&3&8\\3&8&-4\\8&-4&6\end{array}\right][/tex]
So, the transpose of A will be -
A' =
[tex]\left[\begin{array}{ccc}1&3&8\\3&8&-4\\8&-4&6\end{array}\right][/tex]
So, we can say that A=A'. So, it is symmetric.
(b) Skew - symmetric matrix -
Let us consider a matrix B =
[tex]\left[\begin{array}{ccc}0&-6&4\\-6&0&7\\4&7&0\end{array}\right][/tex]
matrix B is said to be skew-symmetric if aij =−aji.
(B' =−B)
B' =
[tex]\left[\begin{array}{ccc}0&6&-4\\6&0&-7\\-4&-7&0\end{array}\right][/tex]
(c) A + A′ is a symmetric matrix for any square matrix A with real number entries, whereas A - A′ is a skew-symmetric matrix.
Proof: If B = A + A', then B ′ = (A + A ) ′
(A + B)′ = A′ + B′, thus = A′ + (A′)′
(as (A′)′ =A) = A′ + A
= B (because B + A = B + A′)
B = A+A′ is a symmetric matrix as a result.
Let C now equal A-A′.
Why does C' equal (A-A′)′=(A′)′?
= A′ - A (Why?)
=- (A - A′) = - C
A - A′ is a skew-symmetric matrix as a result.
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Find the Domain.
7-4x/|2x+5|+3
The domain of the function is the set of all real values
How to determine the domain of the equation?
The equation of the function is given as:
f(x) = |2x + 5| + 3
The above function is an absolute value function
All absolute value functions can take any value as their input
This means that the given function can take any value as its input
Hence, the domain of the function is the set of all real values
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Find the missing terms in the sequence.
4, 6, 10, 16, 24, 34, __, 60, 76, __, 114
Enter the two missing terms with only a comma between them.
Answer:
46, 94
Step-by-step explanation:
hope this works for you :)
A number raised to the fifth power.
This weekend, the local Cinema sold a total of 8500 movie tickets. The proceeds totaled $64,600. Tickets can be bought in one of 3 ways a matinee ticket costs $5 student tickets costs $6, and regular tickets are $8.50. How many of each type of ticket was sold if twice as many student tickets were sold as matinee tickets?
Number of matinee tickets = 900
Number of student tickets = 1800
Number of regular tickets = 5800
Algebra is the branch of mathematics that represents problems and situations in the form of mathematical expressions. It contains variables such as x, y, z, and operations such as addition, subtraction, multiplication, and division to form meaningful mathematical expressions.Algebra is used mostly in all areas of mathematics like trigonometry, calculus, and coordinate geometry. A simple example of an algebraic expression is 9x + 4 = 8. Algebra deals with symbols, and these symbols are related to each other by operators. It's not just a mathematical concept, it's a skill that we all use subconsciously in our daily lives.
Let x be the number of matinee tickets.
In that case, the number of student tickets is 2x.
The number of regular tickets is (8500-x-2x) = (8500-3x).
Total money
5x + 6*(2x) + 8.50*(8500-3x) = 64600
Simplifying and solving for x
5x + 12x - 8.50*3*x + 8.50*8500 = 64600
5x + 12x - 8.50*3*x = 64600 - 8.50*8500
Solving x , we get
x = 900
Number of matinee tickets = 900
Number of student tickets = 1800
Number of regular tickets = 8500 - (900+1800) = 5800
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Help please I will give brainliest
Answer:
For sure, A and C. However, I cannot fully read the last one.
Step-by-step explanation:
Be sure to mark me Brainliest!
Find the Error A large box of spaghetti noodles contains 3 pounds and costs $2.40. A student said the unit cost is $1.20 per pound. Complete the statement to explain why the student was incorrect and find the correct answer.
Answer:
1.25 a pound
Step-by-step explanation:
if it was 1.20 per pound it would be less money
(URGENT) A dog is resting against a pole to which he is attached with a 24 meter chain. He watches a cat approach to within 8 meters of the pole and promptly gives chase. The dog runs at 12 meters per second and the cat runs at 10 meters per second. Which does the dog reach first, the car or the end of the chain?
Answer: End of chain
Step-by-step explanation:
Dog is at pole and cat is at 8 meters if the dog runs at 12 meters a sec and cat runs at 10 in 2 secs the dog will reach end of chain. But the dog needs 4 secs to reach cat because the dog runs 2 meters a second faster than the cat. Hope it Helps!