find the sum of the measures of the interior angles of a convex 20-gon
PLEASE HELP!! Find the measure of angle 2. Image attached
opposite angles need to equal 180
so angle 2 = 180-111 = 69 degrees
Identify the coefficient of 2xy3
Find the distance between A and C. Simplify completely.
A = (1,3)
C = (-4,-4)
-4-1 =-5, -5@ = 25
-4-3 = -7, -7^2 = 49
25+49 = 74
sqrt(74) = 8.602
round answer as needed.
Suppose the length of a rectangle is three time is three time the width. if we let x represent the width of the rectangle, what expression do we us to represent the length?
A sequence is defined recursively using the formula f(n+1)=-0.5f(n). If the first term on the sequence is 120, what is f(5)
F(n+1)=-0.5f(n) 120 f (5)
Find the volume of a rectangular prism if the length is x, the width is x2, and the height is 5x2 + 4x + 1. Use the formula V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume.
5x5 + 4x4 + x3
5x4 + 4x3 + x2
6x5 + 4x4 + x3
6x4+4x3+x2
Answer:
A) 5x^5 + 4x^4 + x^3
Step-by-step explanation:
The height of a cone is equal to the diameter of the base. what expression represents the volume of the cone, in cubic units? πx3 πx2 2πx3 4πx3
The formula for a cone is given as:
V = π r^2 h / 3 ---> 1
Where,
V = volume of the cone
r = radius of the circle base of the cone
h = is the perpendicular length from the center of the base of the cone to the tip at the top
It was given that:
h = d
but d = 2 r, therefore:
h = 2 r
Substituting this to equation 1:
V = π r^2 (2 r) / 3
V = 2 π r^3 / 3
Since r = x, the answer from the choices is:
2πx3
The expression representing the volume of the cone is (2/3)πx^3, where x represents the cone's radius.
Step 1: Identify Key Information
We are given that the height (h) of the cone is equal to the diameter (d) of the base. The diameter is twice the radius (r).
Step 2: Apply Formula and Substitute
The formula for the volume of a cone is:Volume (V) = (1/3) * π * r^2 * h
Since h = d = 2r, we can substitute:V = (1/3) * π * r^2 * (2r)
Step 3: Simplify the Expression
V = (1/3) * π * r^2 * 2rV = (2/3) * π * r^3The sum of three consecutive odd integers is forty five written as an algebraic equation would be:
x + (x+1) + (x+3) = 45
True or False
False,
the equation should be
x+ (x+2) +(x+4) = 45
Is 202.98% greater than 1 or is 67.14% greater than 1?
Answer:
202.98% > 167.14% < 1Step-by-step explanation:
100% = 1
202.98% is more than 100%, so is more than 1.
67.14% is less than 100%, so is less than 1.
(Solve for x) -8 = -7 + x
-8 + -7 +x
add 7 to both sides
-1=x
so x = -1
Hello, everyone! I am in high school and I need help with my geometry homework! I will also mark you as the brainliest answer if you answer it clearly!
A) #3 y = x+3, if you subtract x from y there is a difference of 3 in all of them.
B) #5 y = -x^2, the y value is the negative value of x raised to the 2nd power
C)#6 y = x^2+3, if you raise the value of x to the 2nd power and then add 3 you get the y value
D)#2 y=3x-1, if you multiply the value of x by 3 then subtract 1 you get the y value
18 thousands times 10=
Answer:
180,000.
Step-by-step explanation:
Given : 18 thousands times 10.
To find : Solve .
Solution : We have given
18 thousands times 10.
According to question :
18 thousand = 18000.
10 Times of 18 thousand .
18000 *10 .
180,000.
Number would be 180,000
Therefore, 180,000.
What is the equation of the quadratic graph with a focus of (3, −1) and a directrix of y = 1?
A.) f(x) = −one fourth (x − 3)2 + 1
B.) f(x) = −one fourth (x − 3)2
C.) f(x) = one fourth (x − 3)2 + 1
D.) f(x) = one fourth (x − 3)2
Use the arc length formula and the given information to find r. Show your work for full credit. s = 8.1 ft θ = (3.14/3)rad r = ?
Answer:
The length of the radius is 7.74 ft.
Step-by-step explanation:
It is given that the length of arc is s=8.1 and central angle of arc is [tex]\theta=\frac{3.14}{3}[/tex] in radian.
The formula for arc length is
[tex]s=r\theta[/tex]
Where, s is length of arc, θ is central angle of arc in radian and r is the radius of the circle.
Substitute s=8.1 and [tex]\theta=\frac{3.14}{3}[/tex] in the above formula.
[tex]8.1=r\times \frac{3.14}{3}[/tex]
[tex]8.1=r\times 1.0467[/tex]
Divide both sides by 1.0467.
[tex]\frac{8.1}{1.0467}=r[/tex]
[tex]7.73860705073=r[/tex]
[tex]r\approx 7.74[/tex]
Therefore the value of r is 7.74 ft.
A farmer owns 30 acres of land. Of the 30 acres, only 65% can be farmed. How many acres are available for farming?
Final answer:
To calculate the available farming land, 65% of the total 30 acres is determined, resulting in 19.5 acres available for farming.
Explanation:
To find out how many acres are available for farming, we need to calculate 65% of the total 30 acres of land the farmer owns.
The calculation is as follows:
Convert the percentage to a decimal by dividing by 100: 65% / 100 = 0.65.Multiply the total acres by the decimal: 30 acres × 0.65 = 19.5 acres.Therefore, 19.5 acres of the farmer's land can be used for farming.
The price of gold has increased by 35% per year from 2000. In the year 2000, Harry bought a gold ring for $590. Which of the following functions f(x) can be used to represent the price of the ring x years after 2000? f(x) = 590(1.35)x f(x) = 590(0.65)x f(x) = 35(0.41)x f(x) = 35(1.59)x
Grace and Jamal each bought notebooks for school. Grace bought 3 notebooks for $3.90 while Jamal bought 2 notebooks for $2.20. What was the unit price of each student's notebooks?
Jorani flips two standard American quarters. How many ways can she get at least one head?
You accidentally dropped a coin from the top of 7 stairs. What is the probability that it will land below the sixth step and heads up?
Answer:
The probability that it will land below the sixth step and heads up is [tex]\frac{1}{14}[/tex]
Step-by-step explanation:
Given : You accidentally dropped a coin from the top of 7 stairs.
To find : What is the probability that it will land below the sixth step and heads up?
Solution :
A coin has two sides - head and tail.
Probability of getting head is
[tex]P(H)=\frac{1}{2}[/tex]
Total stairs are 7.
Coin will land below the sixth step i.e. it land on 7th step.
So, Probability of landing coin on below the sixth step is
[tex]P(L)=\frac{1}{7}[/tex]
Now, The probability that it will land below the sixth step and heads up is
[tex]P=\frac{1}{2}\times \frac{1}{7}[/tex]
[tex]P=\frac{1}{14}[/tex]
Therefore, The probability that it will land below the sixth step and heads up is [tex]\frac{1}{14}[/tex]
whats pie as in the math equation help me plus thanks
some people use 22/7, some use 3.14
it is used in formulas for circles
How many real solutions are there for the function graphed below?
No Real Solution
1 Real Solution
2 Real Solutions
Infinite Number of Solutions
20 POINTS PLUS BRAINLIEST!! PLEASE HELP!
Write the first 4 terms of the sequence if a(4)=36 and a(n)=1/2a(n-1)+12.
A.
36, 30, 27, 25.5
B.
120, 72, 48, 36
C.
456, 216, 96, 36
D.
36, 48, 72, 120
15-3 7/8
What is 15 minus 3 and 7 8ths
Solution of equqation 15 - 3 7/8 is 11 1/8.
To solve 15 - 3 7/8, you need to follow these steps:
Convert the mixed number 3 7/8 to an improper fraction.Subtract this fraction from 15.First, convert 3 7/8 to an improper fraction:
3 7/8 = (3 * 8 + 7) / 8 = 31/8Next, convert 15 to a fraction with a common denominator of 8:
15 = 120/8Now you subtract the improper fraction from the whole number fraction:
120/8 - 31/8 = (120 - 31) / 8 = 89/8Convert the result back to a mixed number:
89/8 = 11 1/8So, 15 minus 3 and 7/8 is 11 1/8.
PLEASE HELP! (8)/(5x) - (4)/(x^2) Show your work :)
Angelo family drove 254.6 miles their car used 19 gallons of gasoline describe the cars gas mileage
The Angelo family's car has a gas mileage of approximately 13.4 miles per gallon, calculated by dividing the total miles driven (254.6 miles) by the gasoline used (19 gallons).
Explanation:A car's gas mileage is calculated by dividing the total number of miles driven by the amount of gasoline used. In this case, the Angelo family drove 254.6 miles and used 19 gallons of gasoline. So, to figure out their car's gas mileage, you would divide 254.6 miles by 19 gallons.
254.6 miles ÷ 19 gallons = 13.4 miles per gallon
Therefore, the gas mileage of the Angelo family's car is approximately 13.4 miles per gallon.
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Write the standard form of the line that contains a slope of 2/3 and passes through the point (1, 1)
eight more than the product of two and a number x
What is the simplified form of the quantity y−squared minus y minus 12 over the quantity y−squared plus 8y plus 15?
PLEASE EXTRA POINTS
Choose the correct simplification of (4x3 − 3x − 7) + (3x3 + 5x + 3)
After performing the addition operation on both expressions, the resulting simplified expression is 7x^3+2x-4
Simplification of Algebra ExpressionGiven Data
First expression = (4x3 − 3x − 7) Second expression = (3x3 + 5x + 3)To add both Expression let us open brackets
= (4x3 − 3x − 7) + (3x3 + 5x + 3)
= 4x3 − 3x − 7 + 3x3 + 5x + 3
Collect like terms we have
= 4x^3+3x^3-3x+5x-7+3
= 7x^3+2x-4
Learn more about simplification here:
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