Answer:
Circumference = 50.24 units
Area = 200.96 units²
Determining the area of the circle:
The formula of finding the area of the circle is π(r)² or π(d/2)².
(Where "r" represents the radius and "d" represents the diameter)
In this case, we are given the diameter. Thus, we will use the formula π(d/2)². Simply substitute the diameter in the formula to determine the area of the circle.
⇒ π(D/2)² = Area of circle
⇒ π(16/2)² = Area of circle
⇒ π(8)² = Area of circle
⇒ π × 64 = Area of circle
[Exact form of pie: 22/7; Approx form of pie: 3.14]
⇒ Area of circle ≈ 3.14 × 64
⇒ Area of circle ≈ 200.96 units²
Determining the circumference of the circle:
The formula of finding the circumference of a circle is 2πr or πd.
(Where "r" is radius and "d" is diameter)
In this case, we are given the diameter. Thus, we will use the formula πd. Simply substitute the diameter in the formula to determine the circumference of the circle.
⇒ πd = Circumference of circle
⇒ π(16) = Circumference of circle
[Exact form of pie: 22/7; Approx form of pie: 3.14]
⇒ (3.14)(16) ≈ Circumference of circle
⇒ 50.24 units ≈ Circumference of circle
Write [tex]\frac{2}{7}x(1.4x^2-3.5y)[/tex] as a polynomial.
Answer:
[tex]0.41x^3-1.02xy[/tex] or [tex]0.4x^3-xy[/tex]
Step-by-step explanation:
[tex]\frac{2}{7}x(1.4x^2-3.5y) < == convert\ \frac{2}{7}\ to\ a\ decimal\\\\0.29x(1.4x^2-3.5y) < ==distribute\ 0.29x\\\\0.41x^3-1.02xy[/tex]
Can also be written as: [tex]0.4x^3-xy[/tex]
Hope this helps!
1) 3x + 6 - 2 + 5x
2) a bicycle is originally priced at 80$. The store owner gives a discount and the bicycle is now 60$. What percent discount was taken off?
Answer: ✨4(2+1)✨
Step-by-step explanation: ✨3+6−2+53x+6−2+5x3+4+53✨
Answer:
4(2x + 1)
---->
Step-by-step explanation:
1: 3x + 6 - 2 + 5x = 4(2x + 1)
2: Orignal Cost=80
Discounted Cost=60
Discount=80-60=20
Discount%=(20/80)*100=25%
need it ASAP If a graph shows intersecting lines that represent a system of equations, how many solutions does that system of equations have?
Infinite solutions
No solution
Two solutions
One solution
Answer: Well, the answer really depends. But here are a few ways you can figure this out.
Step-by-step explanation:
If the two lines intersect once, then they have one solution.
If they intersect twice there are two solutions
If the lines never intersect, there are no solutions
And if the lines are identical, meaning that their equation is exactly the same. There are infinite solutions.
A solution with systems of equations is determined by the point of intersection. Your answer is the point of intersection
I hope this is helpful! : )
Answer:
no s
Step-by-step explanation:
HEL PLS ITS MY HOMEWORK AND I REALLY NEED HELP
Answer and explanation:
Take the area formula:
A = L * W
Then manipulate it to fit the context of which unknown you are finding:
Problem 1
[tex]\dfrac{36 = 4 * W}{4}[/tex]
[tex]9 = W[/tex]
So, the length of side c is 9 mm.
Problem 2
[tex]\dfrac{21 = W * 21}{21}[/tex]
[tex]1 = W[/tex]
So, the length of side a is 1 m.
Problem 3
[tex]\dfrac{49 = 7 * W}{7}[/tex]
[tex]7=W[/tex]
So, the length of side t is 7 cm.
What is the scale factor of this dilation?
Answer:
I am not sure but I thing it is -2.
Step-by-step explanation:
Hope it helps! (Please mark brainliest if it does!)
1.6667
Step-by-step explanation:
the lengths are the same on both sides which makes the triangles equilateral
therefore the scale=5/3
=1.6667
Find the perimeter of composite figures
Answer: 15 ft
Step-by-step explanation:
You basically add all the sides:
3 + 3 + 3 + 3 +3 = 15 ft
And if you have to add 12 ft then the answer should be 27 ft in total.
I hope this helped!
each row in the table below shows one possible set of angle measurements for this drawing
find the missing angle measurements
Applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.
What are Angles on a Straight Line?Angles found on a straight line equals 180 degrees.
What area Vertcial Angles?Vertical angles are congruent angles that lie directly opposite each other.
Second Row:
m∠LGK = 45° (given in the diagram)
m∠IGH = 35° (given in the table)
m∠KGJ = m∠IGH (vertical angles)
m∠KGJ = 35°
m∠JGI = 180 - m∠KGJ (angles on a straight line)
m∠JGI = 180 - 35 = 145°
m∠HGL = 180 - m∠LGK - m∠IGH (angles on a straight line)
m∠HGL = 180 - 45 - 35 = 100°
Third Row:
m∠LGK = 45° (given in the diagram)
m∠HGL = 97° (given in the table)
m∠KGJ = 180 - m∠HGL - m∠LGK (angles on a straight line)
m∠KGL= 180 - 97 - 45 = 38°
m∠JGI = 180 - m∠KGJ (angles on a straight line)
m∠JGI = 180 - 38 = 142°
m∠IGH = m∠KGL (vertical angles)
m∠IGH = 38°
Thus, applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.
Learn more about straight line and vertical angles on:
https://brainly.com/question/14362353
Help me please. What is (2a+8) + (4a +5)
Answer:
6a + 13
Step-by-step explanation:
2a + 4a = 6a
8 + 5 = 13
6a + 13
Answer: 6a+13
Step-by-step explanation:
2a+8+4a+5
2a+13+4a
now combine like terms:
2a+13+4a=
6a+13
Explain the error and solve with correct step.
-5x + 9 - 9x < 21
-4x + 9 < 21
-4x < 12
x > -3
Evaluate each algebraic expression.
3w + 4 ; w = 1/4, 7, -2
What's the circumference of a circle with a diameter of 16 inches
2x(5x-2)+(3x-0.5)*2=2x+3+10x-5+2x+3
Find X
(give step by step)
Answer:
x = 1.348331477 and 0.148331477
Step-by-step explanation:
TEPS USING THE QUADRATIC FORMULA2x(5x−2)+(3x−0.5)2=2x+3+10x−5+2x+3Use the distributive property to multiply 2x by 5x−2.10x2−4x+(3x−0.5)×2=2x+3+10x−5+2x+3Use the distributive property to multiply 3x−0.5 by 2.10x2−4x+6x−1=2x+3+10x−5+2x+3Combine −4x and 6x to get 2x.10x2+2x−1=2x+3+10x−5+2x+3Combine 2x and 10x to get 12x.10x2+2x−1=12x+3−5+2x+3 Subtract 5 from 3 to get −2.10x2+2x−1=12x−2+2x+3Combine 12x and 2x to get 14x.10x2+2x−1=14x−2+3Add −2 and 3 to get 1.10x2+2x−1=14x+1Subtract 14x from both sides.10x2+2x−1−14x=1Combine 2x and −14x to get −12x.10x2−12x−1=1Subtract 1 from both sides.10x2−12x−1−1=0Subtract 1 from −1 to get −2.10x2−12x−2=0This equation is in standard form: ax2+bx+c=0. Substitute 10 for a, −12 for b, and −2 for c in the quadratic formula, 2a−b±b2−4ac.x=2×10−(−12)±(−12)2−4×10(−2)Square −12.x=2×10−(−12)±144−4×10(−2)Multiply −4 times 10.x=2×10−(−12)±144−40(−2)Multiply −40 times −2.x=2×10−(−12)±144+80Add 144 to 80.x=2×10−(−12)±224Take the square root of 224.x=2×10−(−12)±414The opposite of −12 is 12.x=2×1012±414Multiply 2 times 10.x=2012±414Now solve the equation x=2012±414 when ± is plus. Add 12 to 414.x=20414+12Divide 12+414 by 20.x=514+3Now solve the equation x=2012±414 when ± is minus. Subtract 414from 12.x=2012−414Divide 12−414 by 20.x=53−14The equation is now solved.
x=514+3x=53−14
help me solve please show steps
There can be several possibilities and causes
y>2x-1
Then line will be dashed and solution region to be shaded.y<2x-1
Same like beforey≤2x-1
Solid line should be done and shading the solution regiony≥2x-1
Same like beforey=2x-1
A straight line and no shadingCredit: Mister Brainly
There can be several possibilities and causes:
y>2x-1
Then line will be dashed and solution region to be shaded.
y<2x-1
Same like before
y≤2x-1
Solid line should be done and shading the solution region
y≥2x-1
Same like before
y=2x-1
A straight line and no shading
The ______________ probability of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trials of the experiment
Answer:
Empirical probability
Step-by-step explanation:
Empirical probability is data collected from experiment and real-life situation.
The "empirical probability" of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trails of the experiment.
[tex]\Longrightarrow: \sf{P(E)=\dfrac{\text{number of times event occured}}{\text{number of trails}}[/tex]
Therefore, the correct answer is empirical probability.I hope this helps you! Let me know if my answer is wrong or not.
A grain silo has a cylindrical shape. Its radius is 8ft, and its height is 36ft. What is the volume of the silo?
Use the value 3.14 for[tex]\pi[/tex], and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
The volume of a silo cylinder with radius of 8 feet and height of 36 feet is 7235 feet cube.
Volume of a cylinderThe volume of a cylinder can be calculated as follows;
Volume = πr²h
where
r = radiush = heightTherefore,
r = 8 ft
h = 36 ft
volume = 3.14 × 8² × 36
volume = 3.14 × 64 × 36
volume of the silo = 7234.56
Therefore, the volume of the cylindrical silo is 7235 ft³
learn more on volume here: https://brainly.com/question/27270919
What are the y-intercept and the horizontal asymptote of g(x) = 2x + 7?
(0, 7) ; y = 2
(0, 9) ; y = 2
(0, 2) ; y = 7
(0, 8) ; y = 7
The required y-intercept is (0, 7), and the horizontal asymptote y = 2. Option A is correct.
It is to detrmine the y-intercept and the horizontal asymptote of g(x) = 2x + 7.
A line can be defined as it is the shortest distance between two points on the graph called a line. Equation of the y = mx + c, where c is the y-intercept and m is the slope of the line.
The y-intercept of g(x) = 2x + 7 is the y-coordinate of a point where a line, curve, or surface intersects the y-axis i.e. (0, 7).
An asymptote of g(x) = 2x + 7 is a line that a graph approaches without touching i.e. y = 2.
Thus, The required y-intercept is (0, 7), and the horizontal asymptote y = 2. Option A is correct.
Learn more about lines here:
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#SPJ2
Which equation can be used to find the nth term of the sequence, an? 5, 20, 80, 320, 1280, ...
an=4⋅5n−1
an=1.25⋅4n−1
an=5⋅4n−1
an=4⋅1.25n−1
Answer:
C.) 5 * 4^n-1
Step-by-step explanation:
Use the given method you use for finding the sequence with the terms.
Also K12 moment.
If it's wrong, please forgive me, I'm in the middle of the test as well.
I checked and I'm 99% sure this is the answer
Hope this helped despite being a little late!
Tell whether each number is rational or irrational.0.121121112....
The angle \theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant \text{III}IIIstart text, I, I, I, end text, and \sin(\theta_1)=-\dfrac{\sqrt{3}}{2}sin(θ 1 )=− 2 3 sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, minus, start fraction, square root of, 3, end square root, divided by, 2, end fraction .
What is the measure of \angle D∠Dangle, D?
Answer:
135⁰
Step-by-step explanation:
As in cyclic quadrilateral sum if opposite angles is equal to 180⁰
What is the equation of the line passing through (0,2), with a slope of 5?
Answer:
y=mx+c
Finding the y-intercept by substituting the given points into the equation.
y=mx+c
2=5(0)+c
2-5=c
-3=c
Now, the equation is:
y=5x-3
Given the function f(x)=3-2x^2, find k such that f(k)=-3
Answer:
k = ±√3
Step-by-step explanation:
Given :
f(x) = 3 - 2x²f(k) = -3To find the value of k, we need to equate both the functions to find the value of x such that it is equal to the value of k.
⇒ 3 - 2x² = -3⇒-2x² = -6⇒ x² = 3⇒ x = ±√3We already set a relation before, which is :
x = kTherefore, k = ±√3Help Needed. Please.....!
Answer:
1 7/8
Step-by-step explanation:
You just have to subtract 2 from 1/8.
Find the arc length of a central angle of 36° in a circle whose radius is 2 inches.
Answer:
y
Step-by-step explanation:
bc I told u to ..............
what is the area,in the square units,of the rectangle?
Step-by-step explanation:
[tex]area = l \times b[/tex]
[tex]area = \frac{3}{7} \times \frac{2}{9} [/tex]
[tex]area = \frac{6}{64} [/tex]
[tex]area = 0.09375units ^{2} [/tex]
what are the numbers for pie I need to know
Answer:
Pi is exactly [tex]3.1415926535897932384626433832795[/tex]
Pi is often used in mathematical expressions, calculating measurements, and finding circumference as well as volume.
Through: (-4,-2); slope = 0
Answer:
y = -2
Step-by-step explanation:
y - y₁ = m (x - x₁)
y + 2 = 0 (x + 4)
y + 2 = 0
Final simplified equation: y = -2
Hope this helps!
Last one, I promise!!! ._.
19x+28=20x-53
Answer:
x = 81
Step-by-step explanation:
Given:
[tex]\displaystyle \large{19x+28=20x-53}[/tex]
Subtract both sides by 28:
[tex]\displaystyle \large{19x+28-28=20x-53-28}\\\displaystyle \large{19x=20x-81}[/tex]
Subtract both sides by 19x:
[tex]\displaystyle \large{19x-19x=20x-81-19x}\\\displaystyle \large{0=x-81}[/tex]
Add both sides by 81:
[tex]\displaystyle \large{0+81=x-81+81}\\\displaystyle \large{81=x}\\\displaystyle \large{\therefore x=81}[/tex]
Therefore, the solution is x = 81
Let me know if you have any questions!
[tex]{\boxed{\mathfrak{✿ฺSolution :}}} [/tex]
[tex] \bold{ 19x+28 = 20 x - 53 }[/tex]
[tex] \bold{ 19x+28 - 28 =20x - 53 - 28}[/tex]
[tex]\bold{ 19x = 20x - 81 }[/tex]
[tex]\bold{ 19x - 20x = 20x - 81 - 20x }[/tex]
[tex]\bold{ -x = - 81 }[/tex]
[tex]\bold{ \frac{ - x}{ - 1} = \frac{ - 81}{ - 1} }[/tex]
[tex] \bold{ x = 81 }[/tex]
NEED ANSWERS TO THESE PAGES!!!!!
PLS HELP ME ASAP I WILL MARK THE BRAINLIEST
Answer:
1:3, 24/8=3/1