Answer:
85°
Step-by-step explanation:
Opposite angles in a cyclic quadrilateral add up to 180°.in the figure provided, angle d is opposite the angle whose value is 95° while angle c is opposite the angle marked 110°. there fore its value can be calculated as follows:
angle d= 180-95
angle d=85°
Tom walked around his yard. His property is rectangular with a length of 20 yards and a width of 31 yards. How much fence will he need to buy to completely surround his property?
Answer:
20 x 31= 620 ft of fence
Step-by-step explanation:
Is 23/3 a irrational number
Answer:
yes
Step-by-step explanation:
A rational number is a number that can be expressed as a fraction of two whole numbers, like 3/1 (3), 8/10 (0.8), or even something crazy like 23784/924433 (0.0257...). ... For example, pi and the square root of two cannot be expressed as a fraction of two whole numbers, so they are both irrational.
No 23/3 is a rational number.
what is a irrational number?Irrational numbers are real numbers that cannot be represented as simple fractions. An irrational number cannot be expressed as a ratio, such as p/q, where p and q are integers, q≠0. It is a contradiction of rational numbers.
Given here the number N=23/3 which is of the form p/q where p,q are integers, thus N is a rational number.
Hence, N is not a irrational number.
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If f(x)=4x^2+1 and g(x)=x^2-5, find (f-g)(x)
A. 5x^2-6
B. 3x^2+6
C. 3x^2-4
D. 5x^2-4
Answer:
B
Step-by-step explanation:
(f - g)(x) = f(x) - g(x) and
f(x) - g(x) = 4x² + 1 - (x² - 5) = 4x² + 1 - x² + 5 = 3x² + 6 → B
To find (f-g)(x), we simply subtract g(x) from f(x) and combine like terms. The resulting function is (f-g)(x) = 3x^2 + 6, therefore the correct answer is B. 3x^2 + 6.
To find (f-g)(x), we subtract the function g(x) from f(x). Given f(x) = 4x^2 + 1 and g(x) = x^2 - 5, we perform the subtraction:
f(x) - g(x) = (4x^2 + 1) - (x^2 - 5)
First, distribute the negative sign through the g(x) function:
f(x) - g(x) = 4x^2 + 1 - x^2 + 5
Now, combine like terms:
f(x) - g(x) = 4x^2 - x^2 + 1 + 5
f(x) - g(x) = 3x^2 + 6
So the correct answer is B. 3x^2 + 6.
3x6/8 pls answerrrrr
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ First, according to PEMDAS, you need to do multiplication and division from left to right.
3*6=18
Then, you divide that by 8:
18/8=2.25
Final answer:
2.25
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
Answer:
With Remainder: 2 R2
Step-by-step explanation:
Multiply 3 and 6
= 18
Divide 18 and 8 = 2 R2
If you need it without the remainder, put it in the comments and I'll give it without the remainder.
can someone help me real quick please?
This is the answer.
4x+1/3 y^2 what is the value when x=2 and y =3
subsitute values
4(2) + 1/3 (3)^2
8 + 1/3 (9)
8 + 3
11
If you were solving a system of equations and you came to a statement like 1= 3, what do you know about the solution to the system
Answer:
The system has no solution
Step-by-step explanation:
Encountering an incorrect mathematical statement anywhere within the solution such as
1 = 3 which of course is false
Indicates the system has no solution
Solve algebraically for x 3600+1.02x<2000+1.04x
Answer:
x > 80,000
Step-by-step explanation:
3600+1.02x<2000+1.04x
The first thing we need to do is to isolate the x's and get all of them on one side, let's start off by subtracting 2,000 from both sides of the equation.
1,600+1.02x<1.04x
Now, subtract 1.02x from both sides to get both the x's on one side.
1600<0.02x
Divide by 0.02 to solve for x.
80,000<x
We can flip the sign and swap the places of the number and variable so that x is on the left side.
x > 80,000
To solve the inequality 3600+1.02x<2000+1.04x algebraically, follow the steps: Move terms, combine like terms, simplify, and isolate x.
Explanation:To solve the inequality 3600+1.02x<2000+1.04x algebraically, we can follow these steps:
Move all x terms to one side and all constant terms to the other side of the inequality.Combine like terms on each side.Simplify the inequality.Isolate x by dividing both sides by the coefficient of x.By following these steps, we can find the value of x that satisfies the inequality.
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Find the unit rate. A 6oz jar of jalapeños cost $2.34
Answer:
1oz cost $0.39 which will be the unite rate
Step-by-step explanation:
Answer:
$0.39 per oz
Step-by-step explanation:
[tex]\frac{6}{2.34} =\frac{1}{x} \\\\6x=2.34\\\\x=\frac{2.34}{6} \\\\x=0.39[/tex]
What’s the answer?and how do you get it
the solid is made up of 2 regular octagons, 8 sides, joined up by 8 rectangles, one on each side towards the other octagonal face.
from the figure, we can see that the apothem is 5 for the octagons, and since each side is 3 cm long, the perimeter of one octagon is 3*8 = 24.
the standing up sides are simply rectangles of 8x3.
if we can just get the area of all those ten figures, and sum them up, that'd be the area of the solid.
[tex]\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ a=5\\ p=24 \end{cases}\implies A=\cfrac{1}{2}(5)(24)\implies \stackrel{\textit{just for one octagon}}{A=60} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{two octagon's area}}{2(60)}~~+~~\stackrel{\textit{eight rectangle's area}}{8(3\cdot 8)}\implies 120+192\implies 312[/tex]
examples of properties communative, associative, and identity?
Answer:
Communative: 12 x 5= 5 x 12 Associative: (5) + 6 = (8) + 3 Identity: 5 x 1= 5
Step-by-step explanation:
Commutative 3+4=4+3
Associative (1+2)+3= 1+(2+3)
Identity x+0=x
Line m is represented by the function f(x)= 1/3x + 5/2.
After transformation, the image, line m’, is represented by the functions g(x)= 1/2f(x+3) + 1/2. Which statement below describe the transformation from m to m’? Select all that apply.
m is dilated by a scale factor of 1/3
m is shifted to the left 3 units
m is sifted to the left 5/2 units
m is shifted up 1/2 units
m is dilated by a scale factor of 2
Answer:
m is shifted to the left 3 unitsm is shifted up 1/2 units m is dilated by a scale factor of 2Step-by-step explanation:
[tex]g(x) =\frac{1}{2} f(x+3)+\frac{1}{2}[/tex]
Following changes are made in f(x) i.e. Line m to get g(x) i.e. the Line m'
Multiplication of f(x) by [tex]\frac{1}{2}[/tex]Addition of 3 to xAddition of [tex]\frac{1}{2}[/tex] to function value1) Multiplication of f(x) by 1/2
Multiplying the function by a number indicates dilation. So this means Line m is dilated by a factor of 2. The dilation in this case is compression. So the function is being compressed by a factor of 2.
2) Addition of 3 to x
Addition of a value directly to x shifts it horizontally towards left. So Line m is shifted 3 units to left.
3) Addition of 1/2 to function value
Addition of a number to function value indicates vertical upward shift. So the Line m is shifted up by 1/2 units
Therefore, the correct answers are:
m is shifted to the left 3 unitsm is shifted up 1/2 units m is dilated by a scale factor of 2Answer:
I have tried the answer given on Math Nation and it told me the answer was wrong. The answers are:
m is shifted to the left 3 unitsm is shifted up [tex]\frac{1}{2}[/tex] units.Step-by-step explanation:
WILL GIVE BRAINLIEST GUESS IF YOU HAVE 2 A parallelogram has an area of 224 square centimeters and a base length of 16 centimeters. What is the height of the parallelogram? 12 centimeters 16 centimeters 28 centimeters
Answer:
Area = base * height
224 = 16 * height
height = 14
The height is 14 centimeters.
Your answer is c.
Anybody know ? I need an answers to it ASAP can somebody that’s willing to help thanks guys.
Answer:
Financing to education
Step-by-step explanation:
Lyndon Johnson was the 36th president of the United Nations. He introduced democratic reforms in the 1965 which came to be collectively known as the Great Society Program. These reforms included civil rights legislation, consumer protection, healthcare and funding of education.
Hope this helps!What is 5x847382484875
Answer:
4.23691242438e+12
Step-by-step explanation:
Answer:
4.2369124e+12 this is your answerStep-by-step explanation:
-3,3,-9,15,-33 what is the sequence?
Answer:
least to gratest is ,-33,-9,-3,3,15
Step-by-step explanation:
kristen bought a pack of 12 pencils for $1.35 how much was each pencil
Answer: 8.8pi
Step-by-step explanation:you have to divide 12 by 1.35 then you get your answer.
Describe the difference between vertical angles and linear pairs of angels
Answer: Vertical angles and linear pairs of angles
Step-by-step explanation:
1) Vertical angles are angles that are opposite each other when two straight lines intersect
2) A linear pair of angles is formed when two lines intersect. They are linear if they are adjacent angles formed by two intercepting lines. Linear pairs of angles add up to 180 degrees.
What is the area of the original rectangle?
A.8cm sq
B.20cm sq
C.25cm sq
D.40cm sq
Answer:
A. 8 cm sq
Step-by-step explanation:
Find the scale factor
new width/original width
8/1.6=5
calculate length of original rectangle
new length/scale factor
25/5=5cm
Find area of original rectangle
A=l×w
A=1.6×5=8cm²
A is the answer
You find the scale factor by doing 8÷1.6 which = 5
Then you do 25÷5=5
And then times 5 and 1.6 together to get 8cm sq
What is the answer to this quation
Answer:
Step-by-step explanation:
g(t)=t^2 - t
f(x) = (1 + x)
g(f(x)) = f(x)^2 - f(x)
g(f(x)) = (x + 1)^2 - x - 1
g(f(0)) = (0 +1)^2 - x - 1
g(f(0)) = 1 - 1 - 1 = -1
================================
f(x) = 1 + x
f(g(t)) = 1 + g(t)
f(g(t)) = 1 + t^2 - t
f(g(0)) = 1 + 0 - 0
f(g(0)) = 1
The answer I'm getting is 0.
Answer:
Step-by-step explanation:g(t)=t^2 - t
f(x) = (1 + x)
g(f(x)) = f(x)^2 - f(x)
g(f(x)) = (x + 1)^2 - x - 1
g(f(0)) = (0 +1)^2 - x - 1
g(f(0)) = 1 - 1 - 1 = -1
what is the common difference for the arithmetic sequence? -6, -1, 4, 9, 14
Answer:
5
Step-by-step explanation:
The common difference of any arithmetic sequence is the difference between two consecutive terms in the sequence.
In the provided sequence
-1-(-6)=5
4-(-1)=5
9-4=5
14-9=5
Therefore the common difference, d=5
The bus that takes you to school always seems to be late one month you decide to determine just how often the bus really is late for four weeks 20 school days you record of the buses later not according to the table what is the probability that the bus will be late A.0.27 B.0.5 C.0.6 D 0.75
Answer:
Step-by-step explanation:
Answer: D. 0.75
Step-by-step explanation: The bus was late 15 out of 20 times. Therefore, the experimental probability that the bus will be late is 0.75.
What is the answer to this?
Answer:
C. 97.6 in³Step-by-step explanation:
The formula of a volume of a cylinder:
[tex]V=\pi r^2H[/tex]
r - radius
H - height
We have
[tex]2r=4\ in\to r=2\ in\\\\H=8\ in[/tex]
Substitute:
[tex]V_1=\pi(2^2)(8)=\pi(4)(8)=32\pi\ in^3[/tex]
The formula of a volume of a cone:
[tex]V=\dfrac{1}{3}\pi r^2H[/tex]
We have
[tex]r=2\ in\\\\H=0.7\ in[/tex]
Substitute:
[tex]V_2=\dfrac{1}{3}\pi(2^2)(0.7)=\dfrac{1}{3}\pi(4)(0.7)=\dfrac{1}{3}\pi(2.8)=\dfrac{2.8\pi}{3}=\dfrac{28\pi}{30}=\dfrac{14\pi}{15}\ in^3[/tex]
The volume of the plastic object:
[tex]V=V_1-V_2[/tex]
[tex]V=32\pi-\dfrac{14\pi}{15}=\dfrac{480\pi}{15}-\dfrac{14\pi}{15}=\dfrac{466\pi}{15}\\\\\pi\approx3.141\\\\V\approx\dfrac{466}{15}\cdot3.141\approx97.6[/tex]
solve the equation. 16x+4=0
Let's do this in steps.
#1. Subtract 4 from both sides.
16x = -4
#2. We'd technically be done, but we need to divide 16 into 4 which is a fraction.
x = -14/6
#3. Simplify 14/6 to 1/4.
x = 1/4.
Decimal form is -0.25.
Ask any questions!
Describe the graph that would be used to solve the equation –x2 + 4 = x + 2 using a system of equations. How will you use the graph to find the solution(s)?
Answer:
The solutions are (-2 , 0) and (1 , 3)
Step-by-step explanation:
∵ -x² + 4 = x + 2
* y = -x² + 4 ⇒ is quadratic represented by parabola
The parabola open downward because coefficient of x² is negative
The x-coordinate of its vertex = -b/2a, where b is the
coefficient of x and a is the coefficient of x²
∴ x = 0/2(-1) = 0
∴ The y-coordinate of the vertex = (0)² + 4 = 4
∴ The maximum point of the parabola is (0 , 4)
∵ -x² + 4 intersects x-axis at y = 0
∴ -x² + 4 = 0 ⇒ -x² = -4 ⇒ x² = 4
∵ x² = 4
∴ x = ±√4 = ± 2
∴ the parabola intersects x-axis at -2 , 2
∵ y = x + 2 represented by a line its slope = 1
It intersects y-axis at 2
∵ x + 2 intersects x-axis at y = 0
∴ x + 2 = 0
∴ x = -2
∴ The parabola and the line intersect each other at
x = -2 and y = 0
To find all the point of intersection between the 2 equations we will solve them as a system of equations
∵ y= -x² + 4 and y = x + 2
∴ -x² + 4 = x + 2
∴ -x² + 4 - x - 2 = 0
∴ -x² - x + 2 = 0 ⇒ × -1
∴ x² + x - 2 = 0 ⇒ factorize
∴ (x + 2)(x - 1) = 0
∴ x + 2 = 0 ⇒ x = -2
∴ x - 1 = 0 ⇒ x = 1
* when x = -2 ⇒ y = -2 + 2 = 0 ⇒ (-2 , 0)
* when x = 1 ⇒ y = 1 + 2 = 3 ⇒ (1 , 3)
The solution graphically
Answer:
The graph consists of a parabola and a line. The parabola opens down and has a vertex of (0, 4). The line has a slope of 1 and a y-intercept of 2
c:
write the ratio 14:56
Answer:
1:4
Step-by-step explanation:
Both 14 and 56 are divisible by 14
14/14 =1
56/14 =4
The ratio 14:56 becomes 1:4
33) Find the volume of the triangular pyramid to the nearest whole number.
A) 72 units3
B) 96 units3
C) 144 units3
D) 288 units3
Answer:
its b because i took a test
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Give the name and degree of the polynomial 2x-4
The given polynomial 2x-4 is of degree 1 and is typically referred to as a linear polynomial because its highest power of the variable is 1.
Explanation:The polynomial in question is 2x-4. It's important to note that the degree of a polynomial is the highest power of the variable that appears in the polynomial. In this case, the highest power of the variable 'x' is 1. Therefore, the polynomial 2x-4 is of degree 1. It is referred to as a linear polynomial because linear polynomials always have a degree of 1.
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The polynomial 2x-4 is a first-degree polynomial, also known as a linear polynomial.
Explanation:The given expression, 2x-4, is a polynomial. A polynomial is a mathematical expression composed of variables and coefficients. In this case, the variable is 'x' and the coefficients are '2' and '-4'. This specific polynomial is of first degree, because the highest power of the variable 'x' is 1. Therefore, the given expression is a linear polynomial.
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What is the least common multiple of 6, 18, and 8?
Answer:
6 = 2 • 3
8 = 23
18 = 2 • 32
Answer:
72
Step-by-step explanation:
Consider the least common multiple of 6 and 8
The multiples of 6 are : 6, 12, 18, 24, 30, 36, ......
The multiples of 8 are : 8, 16, 24, 32, 40, ......
The common multiple is 24 or 48 or 72
The multiples of 18 are : 18, 36, 54, 72, 90, ....
Since 72 is a common multiple of 8 and 6 and also a multiple of 72
Then the least common multiple of 6, 18 and 8 is 72
bill takes a lone of 9,000,00. at 8% simple interest rate for 6 years, how much interest will he pay after 2 years? how much interest will he pay in total for the lone?
Answer:
5,760,000
Step-by-step explanation:
9000000 x 8 x (6+2)/100=90000 x 8 x 8
=5,760,000
I added 2 to 6 because of the additional 2 years.