Answer:
6.28 yards
Step-by-step explanation:
circumference of a circle: π × diameter
diameter = radius × 2 = 1 × 2 =
circumference = 3.14 × 2 = 6.28 yards
Is a Norman window a semicircle above a rectangular window?
No, a Norman window is not a semicircle above a rectangular window.
A Norman window, also known as a "Normandy window" or "Romanesque window," is a specific architectural feature that consists of a rounded arch at the top with a rectangular opening below it. It is characterized by its combination of curved and rectangular elements.
The top portion of a Norman window is indeed a semicircular arch, which reflects the influence of Romanesque architectural styles. The arch is typically constructed using stone or other masonry materials and adds a sense of grandeur and elegance to the window design.
The semicircular arch can vary in size and may feature intricate detailing or decorative elements.
Below the semicircular arch, a rectangular opening is incorporated, which is the main area for letting in light. The rectangular section is usually wider than the arch and can be divided into smaller sections by mullions or transoms.
The rectangular shape of the lower portion provides a practical and functional space for placing glass panes or other materials.
Overall, the combination of the semicircular arch and rectangular opening in a Norman window creates a visually appealing and harmonious design. It is a distinctive feature commonly found in architectural styles inspired by Romanesque and Norman traditions.
In summary, a Norman window consists of a semicircular arch at the top and a rectangular opening below it, rather than a semicircle above a rectangular window.
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Need help ASAP! Directions in picture ;)
Answer:
x=5
Step-by-step explanation:
what is the percent of games won if a team won 95 games and lost 65 games?
Answer:
The percent for games that were won is 59.375%.
Step-by-step explanation:
4. The sum of 2 numbers is 20. The first number is 14 less than the second number. If x is the 1st number and y is the 2nd,
number:
X =
Y =
Step-by-step explanation:
Given,
x+y=20 ‐--------- eqn(1)
If, (x-14)+y=20
x+y= 20+14
y=34-x ——------- eqn(2)
Puting value of y in eqn(1).
Look at the pattern below.
step 1 step 2 step 3 step 4
How many squares will be in the pattern at the 8th step?
Choose 1 answer:
8 squares
12 squares
B
There will be 36 squares in the 8th step of the pattern
How to determine the number of squares?The pattern and the squares are represented as:
Pattern Squares
1 1
2 3
3 6
4 10
This can be rewritten as:
Pattern Squares
1 1
2 1 + 2
3 1 + 2 +3
4 1 + 2 + 3 +4
So, the number of squares on the 8th pattern is:
8th pattern = 1 + 2 + 3 +4 + 5 + 6 + 7 + 8
Evaluate
8th pattern = 36
Hence, there will be 36 squares in the 8th step
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If a=3 and b=4 wat is it ?
Answer:
what is what?
Step-by-step explanation:
can someone plz help me with these two questions
Answer:
y = -15x
20, 26, 32, 38, 44
Step-by-step explanation:
In the first question, the y-value is increasing by -15 as the x-value increases by 1.
In the second question, the terms given are increasing by 6, so continue to add 6 to get the next 5 terms.
can someone please solve
2/7y + 5 = -9
Answer:
y = -49
Step-by-step explanation:
Which of the following is equivalent to the inequality
5x + 7 < 17?
A. 5x < 10
B. 5x > 10
C. 5x < 24
D. 5x > 24
5x < 10
Step-by-step explanation:To solve this, take the 7 away from both sides, just like if you were to solve an equation. We also keep the symbol the same.5x < 10
Rafael and his sister bought snacks for movie night.
Rafael got 3 boxed candies and 1 bag of chips for $6.99.
His sister got 2 bags of chips and 1 boxed candy for $5.98.
Find the cost for 1 of each of these items in dollars.
One boxed candy costs $ ?
and one bag of chips costs $?
Answer:
Each boxed candies are 5.98, and Each bag of chips are 6.99 Sorry if incorrect
Answer:
bag of chips is 2.19
boxed candy is 1.60
Step-by-step explanation:
Desmos Calculator
For which equation is g = 0 not the solution?
12 g = 0
3 g = 30
g + 8 = 8
9 g = 0
Answer:
3g = 30
Step-by-step explanation:
Well, lets check each one to see if any leaves g = 0
12g = 0 (Given)
÷12 ÷12 (Get "g" on its own)
g = 0 (0 ÷ 12 = 0)
We know it is not this one since g = 0
3g = 30 (Given)
÷3 ÷3 (Get "g" on its own)
g = 10 (30 ÷ 3 = 10)
This is our answer since g = 10 in this equation, and not g = 0 we know that this is our equation.
Just in case, I will do the other options just not as in-depth!
g + 8 = 8
-8 -8
g = 0
9g = 0
÷9 ÷9
g = 0
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
If a clock gains 2 seconds per hour, how many many minutes will it gain in two days
Answer:
1.6 minutes
Step-by-step explanation:
2 days = 48 hours
(48 hours)(2 sec/hr) = 96 sec
\((96 sec)(\frac{1 min}{60sec}) = 1.6 min\)
What is the name of the relationship between Angle 1 and Angle 4?
Answer: alternate exterior angles
Step-by-step explanation:
They are equals if the two intersected lines by the transversal are parallel. In the figure, angles 1 and 4 are alternate exterior angles. Angles that are on opposite sides of the transversal of two other lines.
A company orders boxed lunches from a deli. Assume each boxed lunch is the same price. The proportional relationship between the number of boxed lunches ordered, b, and the total cost in dollars and cents, c, can be represented by the equation � = 11.65 � c=11.65b. What is the cost in dollars and cents per boxed lunch?
The cοst in dοllars and cents per bοxed lunch is $11.65
What is the cοst price?The cοst price is a representatiοn οf the exact amοunt that cοrrespοnds tο the unit price paid. This value is used as a primary determinant οf prοfitability in sοme stοck market theοries and tο determine the value οf stοck hοldings.
Here, we have
Given: A cοmpany οrders bοxed lunches frοm a deli. Assume each bοxed lunch is the same price. The prοpοrtiοnal relatiοnship between the number οf bοxed lunches οrdered, b, and the tοtal cοst in dοllars and cents, c, can be represented by the equatiοn c = 11.65b.
We have tο find the cοst in dοllars and cents per bοxed lunch.
c = 11.65b
c/b = 11.65
Hence, the cοst in dοllars and cents per bοxed lunch is $11.65
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Leona spent 5/8 of 2/3 of her allowance on magazines. What fraction of her total allowance did
she spend on magazines? What fraction did she have left?
Leona spent ___ of her allowance on magazines. She had 1 - __ = __
of her allowance left.
Answer:
leona spent 5/12 of her allowance
she had 1-5/12=7/12
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In a circle with radiu 2. 2, an angle intercept an arc of length 12. 2. Find the angle in radian to the nearet 10th
In geometry, an angle is often measured in units of radians, which is a way to express the size of an angle in terms of the length of the arc it cuts off on the circumference of a circle.
This relationship between an angle and an arc length is given by the formula:
Arc Length = Radius * Angle (in radians)
Rearranging this formula to solve for the angle, we have:
Angle (in radians) = Arc Length / Radius
Plugging in the values for the radius (2.2) and the arc length (12.2), we get:
Angle (in radians) = 12.2 / 2.2 = 5.54
Rounding to the nearest 10th, the angle in radians is approximately 5.5.
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a sink drips 2 fifths $\frac{2}{5}$ gallon of water in 4 hours. which rate is the unit rate of water dropped per day?
The unit rate of water dropped per day is \($\frac{12}{5}$\) gallons per day.
We can start by finding the unit rate of water dropped per hour.
If the sink drips \($\frac{2}{5}$\) gallon of water in 4 hours, then it drips \(\frac{1}{5}$\) gallon of water in 2 hours (since \((\frac{2}{4} = \frac{1}{2}$).\)
The unit rate of water dropped per hour is:
\($\frac{1/5}{2} = \frac{1}{10}$\) gallon per hour.
To find the unit rate of water dropped per day, we can multiply the unit rate per hour by the number of hours in a day:
\($\frac{1}{10} \text{ gallon per hour} \cdot 24 \text{ hours per day} = \frac{12}{5} \text{ gallons per day}$\)
Therefore, the unit rate of water dropped per day is \($\frac{12}{5}$\) gallons per day.
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The unit rate of water dropped per day is 12/5 gallons.
To find the unit rate of water dropped per day for a sink that drips 2/5 gallons of water in 4 hours, we'll follow these
steps:
Determine how many gallons of water are dripped in one hour.
Calculate the gallons of water dripped in 24 hours (one day).
Calculate gallons per hour.
Since the sink drips 2/5 gallons in 4 hours, we'll divide the gallons by the number of hours:
(2/5) / 4 = (2/5) × (1/4) = 2/20 = 1/10
So, the sink drips 1/10 gallons per hour.
Calculate gallons per day.
Now, we'll multiply the gallons per hour by 24 hours to find the gallons per day:
(1/10) × 24 = 24/10 = 12/5
The unit rate of water dropped per day is 12/5 gallons.
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A car is purchased for $16,500. After each year, the resale value decreases by 30%. What will the resale be after 3 years?
Based on the exponential decay function, the resale of the car purchased for $16,500 and whose value decreases by 30% annually will be $5,659.50 after 3 years.
What is the exponential function?The exponential function is the mathematical function written as y = abˣ.
The y and x are variables. The "a" and "b" are constants.
There are two types of exponential functions, namely exponential growth and exponential decay.
In this situation, we are dealing with an exponential decay function because there is a constant rate of decrease per year.
The purchase value of the car = $16,500
Annual rate of decrease in value = 30%
Period of decrease = 3 years
The value of the car after 3 years = y
Exponential Function:y = 16,500 x (1 - 30%)³
y = 16,500 x 0.7³
y = 16,500 x 0.343
y = $5,659.50
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simplify (12a5 − 6a − 10a3) − (10a − 2a5 − 14a4)
Answer: 14a^5+14a^4-10a^3-16a
Step-by-step explanation: sorry if it confusing but ^3 as an example is supposed to be the mini number that goes on top of that number.
-hope this helps
Describe a situation that the expression -15 ÷ (-5) could represent. Find the quotient and tell what it represents in terms of the situation.
Here, we are required to describe a situation that the expression -15 ÷ (-5) could represent, find the quotient and tell what it represents in terms of the situation.
The quotient, q = 3 represents the number of individuals needed to bore 15m into the ground with each person boring only 5m into the ground.If we are required to bore 15m deep into the ground where one borer should bore only 5 m into the ground is an example of what the expression -15 ÷ (-5) represents.
The quotient, q = -15 ÷ (-5), q = 3
Ultimately, the quotient, q = 3 represents the number of individuals needed to bore 15m deep with each person boring only 5m deep.The negative sign attached to each of the numbers signifies negativity on the number line.
A situation that can be represented by the expression -15 ÷ (-5) is boring 15metres deep into the ground.
As such,
we assume that ground level is represented by zero, 0.heights above the ground is represented by positive.depths below the ground are represented by negative.If we are required to bore 15m deep into the ground where one borer should bore only 5 meters into the ground is an example of what the expression -15 ÷ (-5) represents.
The quotient, q = -15 ÷ (-5)
q = 3.
Ultimately, the quotient, q = 3 represents the number of individuals needed to bore 15m into the ground with each person boring only 5m into the ground.
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Solve the system of equations.
3.x - 2y = 6
5x + 4y = 32
O A. (8,-2)
O B. (4,3)
O C. (2,0)
O D. (6,6)
Answer:
B
Step-by-step explanation:
Given the 2 equations
3x - 2y = 6 → (1)
5x + 4y = 32 → (2)
Multiplying (1) by 2 and adding to (2) will eliminate the y- term
6x - 4y = 12 → (3)
Add (2) and (3) term by term to eliminate y
11x = 44 ( divide both sides by 11 )
x = 4
Substitute x = 4 into either of the 2 equations and solve for y
Substituting into (2)
5(4) + 4y = 32
20 + 4y = 32 ( subtract 20 from both sides )
4y = 12 ( divide both sides by 4 )
y = 3
Solution is (4, 3 ) → B
Which statement correctly describes gravity?
an attractive force that acts between all objects through contact
an attractive force that acts between all objects without contact
a repulsive force that acts between all objects through contact
a repulsive force that acts between all objects without contact
Answer:
an attractive force that acts between all objects without contact
Step-by-step explanation:
an attractive force that acts between all objects without contact
You are pulled down by gravity when you jump
Answer:
an attractive force that acts between all objects without contact
The force of gravity, first discovered by Isaac Newton, is one of the four fundamental forces. It is a force that is always attractive, and it is exerted between all objects that have mass. Also, the force is exerted even when the two objects are not in contact.
The magnitude of the force of gravity between two objects is given by where
G is the gravitational constant
m1 and m2 are the masses of the two objects
r is the distance between the two objects
Step-by-step explanation:
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a partial sum of an arithmetic sequence is given. find the sum. 3 9 15 639
The sum of an arithmetic sequence given a partial sum is 35532.
Firstly, we need to identify the common difference of the arithmetic sequence. This can be done by finding the difference between any two consecutive terms. In this case, subtracting 9 from 3 gives us a common difference of 6.
Next, we determine the number of terms in the sequence. To do this, subtract the first term from the given partial sum and divide the result by the common difference. In this case, subtracting 3 from 639 and dividing by 6 gives us 106 terms.
Finally, we can calculate the sum using the arithmetic series formula: Sn = (n/2)(2a + (n-1)d), where Sn represents the sum, n is the number of terms, a is the first term, and d is the common difference. Plugging in the values, we have Sn = (106/2)(2*3 + (106-1)*6). Simplifying this expression, we find that the sum of the arithmetic sequence is 35532.
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show how to solve 215 - 148.50
(show work please)
Answer: 66.5
Step-by-step explanation:
I'm sorry. I don't really know how to show my work with typing on this but this is pretty easy. It says your in high school so you should definetely be able to figure this out.
Answer:
215.00-148.50= 66.50
Step-by-step explanation:
A fish swims upstream a distance of 16 miles in a river with a current of 3 miles per hour. The fish returns swimming
downstream the same distance. The roundtrip up and down the river takes the fish 4 hours. Assuming that the fish
swims at a constant speed in still water, what is the fish's speed in still water?
Answer:
9 mph = the speed in still water
Step-by-step explanation:
Let r = the speed in still water
Then the speed going down stream is r + 3
and the speed going upstream is r - 3
d = rt or t = d/r
time going downstream is 16/(r + 3) and time going upstream is 16/(r - 3)
The total time was 4 hours, so
\(\frac{16}{r + 3} + \frac{16}{r - 3} = 4\) Multiply thru the equation by (r + 3)(r - 3)
Then 16(r - 3) + 16(r + 3) = 4(r + 3)(r - 3)
16r - 48 + 16r + 48 = \(4r^{2}\) - 36
\(4r^{2}\) - 36 = 32r
\(4r^{2}\) - 32r - 36 = 0
\(4(r^{2} - 8r - 9) = 0\)
4(r - 9)(r + 1) = 0
r = 9 or -1
But a rate of speed cannot be negative, so x ≠ -1
So, r = 9 mph = the speed in still water
Can anybody please help me out on question 4? I would really appreciate it so much. Please and thank you .
Step-by-step explanation:
b im not sure but my answer is b
PLSSS HELP!!!! I offer 25 points!!
A box has a volume of 1008 cubic inches. Your friend told you that he found the polynomial that represents the volume of the box: 4x³-28x² +144x. If x is the height of the box how tall is the box?
Answer:
7 inches tall
Step-by-step explanation:
A graphing calculator quickly finds the solution to the cubic equation. It is convenient to define ...
f(x) = 4x^3 -28x^2 +144x -1008
so f(x) = 0 gives the value of x that is of interest. That value is x=7.
The box is 7 inches tall.
_____
The equation f(x) = 0 can be divided by 4 to give ...
x^3 -7x^2 +36x -252 = 0
This can be factored by grouping:
(x^3 -7x^2) +(36x -252) = 0
x^2(x -7) +36(x -7) = 0
(x -7)(x^2 +36) = 0
The only real root is x = 7, which makes a factor zero.
_____
Additional comment
For finding solutions to cubic and higher-degree polynomials, I find a graphing calculator to be an extremely helpful tool. Desmos provides an online calculator and apps for various platforms. It may take a little while to learn how to use it effectively, but it can save immense amounts of time and frustration. Of course, your handheld graphing calculator can be just as useful.
what is 3000 times 4
Answer:
12,000
Step-by-step explanation:
You can simply do this in your head by multiplying 3 x 4.
a fair coin is tossed at random 100 times. what is the approximate probability that the number of heads will exceed 60? what is the approximate probability that the number of heads will be at least 40 but less than 60?
Therefore ,the probability that the number of heads will exceed 60 is 0.0176
What is probability ?The number of outcomes that could occur is the basis for the response is known as probability .To this question the outcome in this case might be either head or tail. Therefore, there is a 50% chance that the result will be a head.
Here,
The fair coin is tossed at random 100 times.
So we have to find probability that the number of heads will exceed 60
Thus,
=> P(number of heads will exceed 60) = \(\frac{C^{100} _{1} }{C^{2} _{60}}\)
=> P(number of heads will exceed 60) = 0.01760010010885238
=> P(number of heads will exceed 60) = 0.0176
Therefore ,the probability that the number of heads will exceed 60 is 0.0176
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Note that f is continuous on (−[infinity],6) and (6,[infinity]). For the function to be continuous on (−[infinity],[infinity]), we need to ensure that as x approaches 6 , the left and nghit limits match. First we find the left limit. lim x→6 + f(x) = lim x→6 − (x^2+9x)= Next, we find the right himit. lim x→6 + f(x) = lim x→6 + (x 3 −(x)=
To find the left limit as x approaches 6, we evaluate the function from the left side:
lim x→6- f(x) = lim x→6- (x^2 + 9x)
Substituting 6 into the function:
lim x→6- f(x) = lim x→6- (6^2 + 9(6))
= lim x→6- (36 + 54)
= lim x→6- (90)
= 90
To find the right limit as x approaches 6, we evaluate the function from the right side:
lim x→6+ f(x) = lim x→6+ (x^3 - x)
Substituting 6 into the function:
lim x→6+ f(x) = lim x→6+ (6^3 - 6)
= lim x→6+ (216 - 6)
= lim x→6+ (210)
= 210
To ensure that the function is continuous at x = 6, the left and right limits must match. In this case, since the left limit is 90 and the right limit is 210, they are not equal. Therefore, the function is not continuous at x = 6.
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