Answer:
12
Step-by-step explanation:
3x+5+49=90
3x+54=90
3x=90-54
3x=36
3x/36/3
x=12
To support a triangular kite, Hana
attaches thin strips of wood from each vertex
perpendicular to the opposite edge. She
then attaches the kite's string at the point
of concurrency. To calculate the point of
concurrency, she determines the coordinates
of each vertex on a coordinate plane. What
are the coordinates where the wood strips
cross? Round your answer to the nearest
hundredth.
The circumcenter of the triangle is at the point (22, 36). This is the point where the three thin strips of wood cross and where Mike attached the kite's string.
How to calculate the circumcenter of the triangle ?The point of concurrency of the lines perpendicular to the sides of a triangle is known as the circumcenter of the triangle. To find the circumcenter of a triangle with vertices at (x1, y1), (x2, y2), and (x3, y3), you can use the following formula:
x = (x1 + x2 + x3) / 3
y = (y1 + y2 + y3) / 3
Plugging in the coordinates of the three vertices, we get:
x = (0 + 44 + 0) / 3 = 22
y = (58 + 36 + 0) / 3 = 36
So the circumcenter of the triangle is at the point (22, 36).
To know more about the circumcenter visit:
https://brainly.com/question/28912364
#SPJ1
Find the value of $x$ .
Two right triangles are shown, triangle A B C and triangle D E F. Angle B and angle E are marked as right angles. Angle C and angle F are marked as being congruent. For triangle A B C, side A C is labeled x inches and side B C is labeled 6 inches. For triangle D E F, side D F is labeled 12 inches and side E F is labeled 8 inches.
Answer:
9
Step-by-step explanation:
x/6=12/8
x=12*6/8
x=72/8
x=9
Two cards are selected, without replacing the first card, from a standard deck. Find the probability that both cards are sevens.
The probability that both cards are sevens is 0.0044
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
There are 52 cards, 4 are sevens.
So the probability of picking the first 7 is 4/52.
If you don't replace the card, then there are only 51 cards left, 3 of which are sevens.
So the probability of picking a seven on the second draw is 3/51.
The probability of picking sevens on both draws is:
P(picking two sevens) = (4/52)·(3/51) =0.076*0.058=0.0044
To learn more about the probability from the given link
https://brainly.com/question/24756209
#SPJ1
ratios equal to 8:14
Answer: Two equivalent ratios are, 16:28 and 24:42
Step-by-step explanation:
Please need ASAP!!!!
40 points
Answer: A or C i would go with C but ur instict
Step-by-step explanation:
Answer:
A or C
Step-by-step explanation:
Good Luck!
Why is equivalence important in maths?.
Equivalence relations are important in maths because of the following parts,
The fundamental theorem of equivalence relations is basic theorem.In integration theoryIn case of equivalent fractionA relation R on a set A is called an equivalence relation if and only if the relation R is recursive, symmetric, and transitive. An equivalence relation is a relation on sets, and is generally represented by the symbol “~”. For example: "Equal to (=)" is the equivalence relation on any set of numbers A for all elements a, b, c ∈ A,
Reflexive: a = a ,
Symmetric: a = b ⇒ b = a and
Transitive: a = b, b = c ⇒ a = c.
This means that (=) is recursive, symmetric, and transitive. Equivalence relations are used in several areas of mathematics.
In integration theory, functions are considered "equal" if they differ only in a small set. in some respects. If the function is not identified in this way, some commonly used standards conditiondoes not satisfy || f || = 0 <=> f=0.
Two fractions are equivalent if they have the same decimal number. That is, if ad = b, a/b is equivalent to c/d. (One example is based on equivalence relations).To learn more about equivalence relation , refer:
https://brainly.com/question/13098676
#SPJ4
Complete question:
Why is equivalence relation important in maths?.
How many linear solutions are there?.
There are a lot of linear solutions to problems. In fact, there are an infinite number of them.
Linear solutions are the most common type of solution. They're also the easiest to solve. These solutions are used in algebra and geometry. There are six different types of equations in which a linear solution exists. These are:
1) One variable equals zero
2) Two variables are equal
3) Three variables are equal
4) Any equation with one constant and one other variable
5) Two variables have an equal ratio to another variable
6) Two variables are equal to a certain number One solution that's linear is a quadratic equation with two variables. It has the form x2 + bx + c = 0 To solve this equation, you can use basic algebraic skills like factorization, substitution, and addition.
Learn more about linear solutions at
https://brainly.com/question/7718604
#SPJ4
Khalid and Jesse took different overnight buses. The graph shows the relationship between the total distance Khalid traveled and the time in hours. The distance Jesse traveled after x hours is given by the equation y=130x
Jesse's train is faster than Khalid's since 150 is greater than (>) 140 and she is traveling at 150 mph as opposed to 140 mph.
How is a graph calculated?
In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change. Draw a sloping triangle connecting the two spots you find on the line.
According to the graph, the climb is 140 and the run is 1.
Since 140/1 equals 140, Khalid's slope is 140.
The slope is 150 according to the equation (y = 150x; y = mx).
Jesse's train is faster than Khalid's since 150 is greater than (>) 140 and she is traveling at 150 mph as opposed to 140 mph.
To learn more about graphs from given link
https://brainly.com/question/19040584
#SPJ1
Complete Question -
A popular fast-food restaurant serves cheeseburgers and fries. A family meal consists of 4 cheeseburgers and 3 orders of fries for a total of 4100 calories. A deluxe family meal consists of 5 cheeseburgers and 6 orders of fries for a total of 6250 calories. How many calories are in one cheeseburger? calories How many calories are in one order of fries?
Answer:
cheeseburger: 650 caloriesfries: 500 caloriesStep-by-step explanation:
You want to know the numbers of calories in a cheeseburger and an order of fries if 4 cheeseburgers and 3 fry orders have 4100 calories, and 5 cheeseburgers and 6 fry orders have 6250 calories.
EquationsIf we let c and f represent the calories in a cheeseburger and an order of fries, respectively, then we can describe the calories in the two orders by ...
4c +3f = 41005c +6f = 6250SolutionSubtracting the second equation from twice the first gives ...
2(4c +3f) -(5c +6f) = 2(4100) -(6250)
3c = 1950 . . . . . . . simplify
c = 650 . . . . . . . divide by 3
Then the calories in the fries can be found by substituting in the first equation:
4(650) +3f = 4100
3f = 1500 . . . . . . . . . subtract 2600
f = 500 . . . . . . . . divide by 3
There are 650 calories in one cheeseburger, and 500 calories in one order of fries.
__
Additional comment
The attachment shows solution of these equations using the matrix functions of a graphing calculator. It reduces the augmented matrix of coefficients of the equations to a form that makes the variable values apparent.
The method of solution shown above uses the "elimination" technique to eliminate the 'f' variable from the equations. We noticed that the coefficient of 'f' in the second equation was double that in the first equation, so subtracting 2 times the first from the second makes the 'f' coefficient zero. We chose that subtraction so the 'c' coefficient would end up positive.
Answer: cheeseburger: 650 calories fries: 500 calories
Step-by-step explanation:
Hope this helps!
Mark me brainliest!
Pls and ty!
Find and simplify the function (fg)(x)
The product between functions f(x) and g(x) is:
(fg)(x) = x^3 - 4x^2 - 16x + 4
How to write the product of functions?
Here we have two functions:
f(x) = x - 4
g(x) = x^2 - 16
We want to find the product:
(f times g)(x)
So we just need to take the product between the two functions:
(x - 4)*(x^2 - 16)
x^3 - 4x^2 - 16x + 4
Then the product of the functions is:
(f times g)(x) = x^3 - 4x^2 - 16x + 4
Learn more about the product of functions at:
https://brainly.com/question/25638609
#SPJ1
A penny is tossed twice.
What is the probability that it will land tails up both times?
When X 3x² 1 is divided by x 1 then remainder will be?.
After solving, the remainder when [tex]-x+3x^2-1[/tex] is divided by x + 1 is 3.
In the given question, we have to find the remainder when [tex]-x+3x^2-1[/tex] is divided by x + 1.
The given polynomial is [tex]-x+3x^2-1[/tex].
We have to find the remainder of the polynomial when we divide this polynomial x + 1.
To find the polynomial we equate x+1 equal to zero to find the value of x.
x + 1 = 0
x = -1
Now putting x = -1 in the given equation [tex]-x+3x^2-1[/tex].
P(x) = [tex]-(-1)+3(-1)^2-1[/tex]
P(x) = 1 + 3×1 - 1
P(x) = 1 + 3 - 1
P(x) = 3
Hence, the remainder when [tex]-x+3x^2-1[/tex] is divided by x + 1 is 3.
To learn more about finding the remainder link is here
brainly.com/question/19905209
#SPJ4
The complete question is:
When [tex]-x+3x^2-1[/tex] is divided by x + 1 then remainder will be?
The dot plots show the ditribution of the length, in centimeters, of 25 shark teeth for an extinct species of shark and the length, in centimeters, of 25 shark teeth for a closely related shark species that is still living. Compare the two dot plots using the shape of the distribution, measures of center, and measures of variability. Use the situation described in the problem in your explanation
From the situation described in the problem: all the required values are given below.
What is a distribution?The distribution of values in a field is described by a statistical distribution, often known as a probability distribution. In other words, the statistical distribution identifies the typical and unusual values. The bell-shaped normal distribution is one of many varieties of statistical distributions.
Given:
The dot plots show the distribution of the length, in centimeters, of 25 shark teeth for an extinct species of shark and the length, in centimeters, of 25 shark teeth for a closely related shark species that is still living.
The shape of the distribution:
For living species - Left-skewed distribution
For extinct species - The symmetric distribution.
Measures of the center:
For living species - mean = 2.32
For extinct species - mean = 3.02
The measures of variability:
For living species - 0.13
For extinct species - 0.55
Therefore, all the required values given above.
To learn more about the distributions;
https://brainly.com/question/29062095
#SPJ1
f(x)=-x^2-4x+5
find the vertex, zeros, and y-int.
The vertex, zeros, and y-intercept for the given quadratic equation f(x)= -x² - 4x+5 are respectively,
Vertex- (2, 1)
Zeros- (2 + i)
Y-intercept- 5
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
Given that,
f(x) = y = -x² - 4x+5
y = -x² - 4x+5
For making it perfect square, we can add and subtract square value of half of coefficient of x
So, adding and subtracting +4 and -4 in the given equation
y = -x² - 4x+5+4-4
= -x² - 4x+4+5-4
= (-x +2)² +1
y-1 = (-x +2)²
So, for vertex
-x +2 = 0
x = 2
y-1 = 0
y = 1
For Zeros, y = 0
y-1 = (-x +2)²
(-x +2)² = -1
x = 2 + i, -2-i
the zeros are imaginary
For y intercept, x = 0
y-1 = (-x +2)²
y = 1 + (2)²
y = 5
Hence, vertex, zeros, and y-int. are respectively (2, 1), (2 + i), 5
To know more about Equation check:
https://brainly.com/question/1529522
#SPJ1
What is the gradient of y =- 2x 3?.
Gradient of given equation x-intercept: a=−32 y-intercept: b=3
The gradient of a function is defined to be a vector field. Generally, the gradient of a function can be found by applying the vector operator to the scalar function. (∇f (x, y))
The given equation of line:
y=2x+3
Comparing above equation with the standard slope-intercept form
y=mx+ c,
we get
Slope:
m=2
Now, given equation can be re-written as
2x−y=−3
x−32+y3=1
Comparing above equation with intercept form:
x a + y b =1,
we get
x-intercept:
a=−32
y-intercept:
b=3
Now, the given straight line intersects the coordinate axes at
(−32,0) & (0,3)
Specify these points on XY-plane & join them by a straight line to get plot.
Gradient of given equation x-intercept: a=−32 y-intercept: b=3
To know more about gradient of a function visit brainly.com/question/29097153
#SPJ4
Which of the following shows that polynomials are closed under addition when two polynomials 4x2 − 8x − 7 and −5x + 16 are added?
A. 4x^2 − 13x + 9; may or may not be a polynomial
B. 4x^2 + 13x − 23; may or may not be a polynomial
C. 4x^2 − 13x + 9; will be a polynomial
D. 4x^2 + 13x − 23; will be a polynomial
According to the information, the correct option is C. . 4x^2 − 13x + 9, since the expression is a polynomial.
How to add the two expressions?To add the expressions we must add each of its components (those that are similar) to form a single expression. Below is the procedure:
4x^2-8 -5 = -13- 7 + 16 = 9Now we must reassemble the expression that would look like this.
4x^2 - 13 + 9. Additionally, we know that it is a polynomial because none of the terms related to x are affected by a square or fractional root.
Learn more about polynomials in: https://brainly.com/question/11536910
#SPJ1
Suppose Mike surveyed 300 students. How many students would you expect to choose reptiles as their favorite pet?
Answer:150
Step-by-step explanation:
suppose he asks 300 and only 1/2 say yes,
What is a degree 3 polynomial called?.
A polynomial of degree 3 is called a cubic polynomial.
A polynomial is described as an expression that consists of variables, constants, and exponents, which might be mixed with the use of mathematical operations along with addition, subtraction, multiplication, and department (No division operation by a variable).
In arithmetic, a polynomial is an expression that includes indeterminates and coefficients, that entail best the operations of addition, subtraction, multiplication, and fine-integer powers of variables. An instance of a polynomial of an unmarried indeterminate x is x² − 4x + 7.
Polynomials are sums of phrases of the form k⋅xⁿ, in which okay is any wide variety and n is a positive integer. for example, 3x+2x-5 is a polynomial. advent to polynomials.
To learn more about Polynomials visit here:
brainly.com/question/11536910
#SPJ4
Sid has a baseball cap collection. 75% of his caps have sports team symbols. If 24 of the caps have the team symbols, how many total caps does Sid have? 32 52 98 173
PLSSSSSS HELPPPP
The total caps does Sid have is 55% of x = 33
x = (33 * 100)/55
x = 60
What is collection?In programming, a collection is a class used to represent a set of similar data type items as a single unit. These unit classes are used for grouping and managing related objects.A collection has an underlying data structure that is used for efficient data manipulation and storage. Code readability and maintenance improves when collections are used in logical constructs.
Collections are designed to group certain objects with a logical connection. For example, a StudentCollection object may be used to maintain university student details. Details may include the total number of students or offer a student search facility based on attributes, such as name, class or grade.
To learn more about Collections visit :
brainly.com/question/26711803
#SPJ1
Please help me with 1 and 2!!!!
The solution is, 1) f+g =3x^3+x^2+2x-9 and, 2) f+g = x^2-6x +2√(x-2)+17
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
given that,
1.) f(x) = 3x^3 -6xg(x) = x^2+8x-9
so, f+g
=3x^3+x^2+2x-9
and,
2.) f(x)=x^2-6x+7g(x)=2√(x-2)+10
so, f+g
= x^2-6x +2√(x-2)+17
To earn more on addition click:
brainly.com/question/29560851
#SPJ1
find an equation of the line in the form ax=by=c whose x-intercept is -18 and y-intercept is -16, where a, b, and c are integers with no factor common to all three, and a0.
Does the following equation has the sum of its roots as 3 3x² 3x 3 0?.
The equation -x² + 3x - 3 = 0 has the sum of the roots as 3. Given that a quadratic equation's roots add up to three.
A quadratic polynomial in terms of the zeroes (α,β) is given by
x2 - (sum of the zeroes) x + (product of the zeroes)
f(x) = x2 -(α +β) x +αβ
From the options,
A) 2x² - 3x + 6 = 0
Dividing by 2,
x² - 3/2x + 3 = 0 ------------------ (2)
Comparing (1) and (2),
α + β = 3/2
Therefore, the sum of the roots of the equation is 3/2.
B) -x² + 3x - 3 = 0
The equation can be written as x² - 3x + 3 = 0 ------------- (3)
By comparing (1) and (3),
α + β = 3
Therefore, the sum of the roots of the equation is 3.
C) √2x² - 3/√2x + 1 = 0
Dividing by √2,
x² - 3/2x + 1/√2 = 0 ------------ (4)
By comparing (1) and (4),
α + β = 3/2
Therefore, the sum of the roots of the equation is 3/2.
D) 3x² - 3x + 3 = 0
Dividing by 3,
x² - x + 1 = 0 -------------------------- (5)
By comparing (1) and (5),
α + β = 1
The equation's roots are added together, and the result is 1.
To know more about the quadratic polynomial visit:
https://brainly.com/question/22816139
#SPJ4
How do you do thissss♀️..?
Answer:
the answer is A because you can know
Simple fly expression 4•3+4•x
The value of x is -3 for the given equation.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression 4 *3 + 4*x = 0
Simplify the equation using PEMDAS
=> 4*3 + 4*x = 0
=> 12 + 4x = 0
=> 4x = -12
=> x = -3
Therefore, the simplified value of the Given equation is x = -3.
Learn more about expression here:
https://brainly.com/question/23246712
#SPJ1
What happens when there is a negative number in a square root?.
The Real Numbers collection does not contain the square root of a negative number. truly intended. Mathematicians "created" a new number, i, to address this issue.
Since it was not part of the set of "Real Numbers," this number was referred to as an "imaginary number."
Can a number's square root be negative?With the exception of zero, all numbers have positive and negative square roots. The positive square root, abbreviated as b, is the principal square root. Write b to denote the negative root, and b to denote both roots.
How is a negative square root solved?Theorem: Square Roots of a Negative Number Simplifying an expression involving the square root of a negative number by simplifying the number as if it were a positive number and putting an i in front of it as a coefficient is one method. To put it another way, x=ix x = i x for every x where x is a positive number and where x is a negative number.
To learn more about Square Roots here:
https://brainly.com/question/29286039
#SPJ4
Carl's BBQ is increasing the amount of fries in their family value meal by 10%. If there were originally 16 ounces of fries in the family value meal, how many are there after the increase?
Answer:
17.6
Step-by-step explanation:
which best shows an identity property?
Answer:
I believe the first one
Step-by-step explanation:
Evaluate the expression when a=6 and b=4. b - 3a
-14 is the value of the expression b - 3a at a =6 and b = 4.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression b - 3a
For this expression given,
a = 6 and b = 4
Thus the value of expression at given values
=> b - 3a
=> 4 - 3 * 6
=>4 - 18
=> -14
Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.
Learn more about expression here:
https://brainly.com/question/23246712
#SPJ1
Sarah went shopping at a store and bought some hats that cost $6 each and 2 necklaces that cost $12 each. The cost of Sarah’s total purchases was $66. How many hats did Sarah buy?
The number of hats Sara bought is 7.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Sarah went shopping at a store and bought some hats that cost $6 each and 2 necklaces that cost $12 each.
The number of hats will be calculated as,
12N + 2H = 66
12 x 2 + 2 H = 66
2H = 66 - 24
2H = 42
H = 42 / 2
H = 21
To know more about an expression follow
https://brainly.com/question/19577202
#SPJ1
On Saturday, the vacation reort offer a dicount on both activitie. To take a urfing leon and go paraailing cot $130. That day, 25 people take urfing leon, and 30 people go paraailing. A total of $3,650 i collected. What i the dicounted price of each activity?
A discounted surfing lesson costs $50, and a discounted parasailing trip costs $80.
Let x represent the discounted cost per person for a surfing class.
Let y represent the reduced cost per person for surfing instruction.
The cost of taking a surfing lesson and going parasailing is $130
x + y = 130--------------(i)
25 people take
Surfing lessons and 30 people go parasailing and a total of $3,650 is collected
25x + 30y = 3650--------------(ii)
We solve for y using equ (i):
y = 130 - x ------------(iii)
Substitute equ (iii) to equ (ii) and solve for x
25x + 30(130 - x) = 3650
25x + 390 - 30x = 3650
-5x = -250
-x = 50
We solve for y using equ (iii):
y = 130 - x
y = 130 - 50
y = 80
Thus, a discounted surfing lesson costs $50, and a discounted parasailing trip costs $80.
Know more about discounts
https://brainly.com/question/7459025
#SPJ4