The area of the window is [tex]\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}[/tex]
The shape of the Norman window is described as a rectangle surmounted by a semicircle.
Let 'x' be the width of the window.
Then this width corresponds to the diameter of the semicircle.
That is, radius of the semicircle = x/2
Now given the perimeter of the whole window = 25 ft
This perimeter is equal to the sum of 3 sides of the rectangle and the perimeter of the semicircle.
Perimeter of the semicircle = [tex]\frac{2\pi r}{2} = \frac{\pi x}{2}[/tex] , where r is the radius of the semicircle.
Now let 'y' be the length of the window.
Then sum of three sides of the window = 2y + x
So 2y + x + [tex]\frac{\pi x}{2}[/tex] = 25
Therefore, [tex]y =( 25 - x - \frac{\pi x}{2} ) / 2[/tex]
Area of the window = Area of the semicircle + Area of the rectangle =
[tex]\frac{\pi x^2}{8} +xy = \frac{\pi x^2}{8} + x( 25 - x - \frac{\pi x}{2} ) / 2\\ = \frac{\pi x^2}{8} + (25x - x^2 - \frac{\pi x^2}{2} ) / 2[/tex]
So Area of the window = [tex]\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}[/tex]
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641 divided by 34 with a remainder(pls explain using long division.)
Answer:
Step-by-step explanation:
641 / 34 is 18
the remainder is 29
Can you help me find the are of the rectangle ?
Examine the system of equations -3x+y=4, -9x+5y=-1 what is the solution
Answer:
sorry i know im late but here
Step-by-step explanation:
Answer:
-3.5, -6.5
Step-by-step explanation:
Where most people get a mistake- Simplify the first equation to slope intercept form.
(y = 4+3x)
NOTICE- THE 3x IS POSITIVE
Hey, Whats The answer please explain your answer marking brainliest:D...................................................
Answer:
C
Step-by-step explanation:
Difference means subtract, and the only one that has a subtraction included is C
a + b = 10
a - b =2
solve the systems of equations
Answer:
a=6, b=4.
Step-by-step explanation:
6+4=10, and 6-4=2.
Answer:
See below
Step-by-step explanation:
a+b =10
a-b = 2 add the two equations
2a = 12 then a = 6 a+b=10 so b = 4
Evaluate the function when x = –3, 0, and 1. h(x)=2.5x+7
Answer: H
(
x
)
=
1.25
x
2
+
7
x
+
C
Step-by-step explanation:hope it helps!
In what way was youth activism during the civil rights era the same as it is
today?
O A. People used popular culture to raise awareness,
O B. People participated in protests and marches.
C. People wanted social justice.
O
D. All of the above are correct.
What is the solution to the system of equations?
x + y = 4
y = 1
O (-1-3)
0 (3.1)
(1,3)
0 (-3,-1)
Problem - 6x - 3 (y+2)
What are you trying to find? we can't solve this without you telling us what you're trying to find first.
Please help me please
Answer:
The coordinates of point F would be: (x, y) = (8.2, 5.7)
Step-by-step explanation:
We know that the location of a point P on a coordinate plane can be determined by checking the value of the x-coordinate and the corresponding y-coordinate.In other words, the location of a point P with the x-coordinate and the corresponding y-coordinate will be: P(x, y)
Using the same concept, we can determine the coordinates of point F.The location of point 'F' lies on the x = 8.2 (x-coordinate) and their corresponding value of y=5.7 (y-coordinate).
i.e at x = 8.2, y = 5.7
Thus, the coordinates of point F would be: (x, y) = (8.2, 5.7)
PLEASE HELP NOW I NEED TO TURN IT IN TODAY AND GET A 100% !!!
#8 !!!
Step-by-step explanation:
=| -9/10|+|7/4|
=9/10 +7/4
[tex] = \frac{9}{10} + \frac{7}{4} \\ = \frac{53}{20} \\ [/tex]
Option B is the answer
Which expression is equivalent to (-7.5+21 1/4)+(-1/2)
Answer: use tiger algebra
Step-by-step explanation: .
179/4=44.75000
Answer:
the answer should be 179/4
Step-by-step explanation:
204, 200,196,... find the 31st term
Answer:
31st term = 84
Step-by-step explanation:
Given:
204, 200,196,...
Find:
31st term
Computation:
204, 200,196,...
First term a = 204
Difference d = a3 - a2
Difference d = 196 - 200
Difference d = -4
An = a + (n-1)d
A31 = 204 + (31-1)(-4)
A31 = 204 - 120
A31 = 84
Answer:
84
Step-by-step explanation:
The second term of an arithmetic sequence is -39. The rule a, = a -1 + 12 can be used to find the next term of the
sequence. What is the explicit rule for the arithmetic sequence?
a, = -51+12(n-1)
O a = -39+12(n-1)
O a, = 12+(-39)(n-1)
O a = 12+(-51)(n-1)
Answer:
A. an = -51+12(n-1)
Step-by-step explanation:
edge quiz
The solution is, the explicit rule for the arithmetic sequence is
a n = -51 + ( n - 1 ) · 12 .
What is Arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
The nth term of AP : a_n = a + (n – 1) × d
here, we have,
given that,
a 2 = -39
a 2 = a 1 + 12
- 39 = a 1 + 12
a 1 = - 39 - 12
a 1 = - 51 ( first term )
The common difference is : d = 12
The explicit rule for the arithmetic sequence:
a n = a1 + ( n - 1 ) d
a n = -51 + ( n - 1 ) · 12
Hence, The solution is, the explicit rule for the arithmetic sequence is
a n = -51 + ( n - 1 ) · 12 .
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The high temperature on Monday in Alaska was -2 degrees. Tuesday's high temperature was 3 degrees lower than Monday's. What was Tuesday's high temperature?
A) 5 degrees
B) -5 degrees
C) 1 degree
D) 1 degree below zero
Answer:
The answer is B) -5
Step-by-step explanation:
It is -5 because if you take monday's temperature and subtract it by tuesday's temperature. You get -5
-2-3=-5
FREE FOR-ALLHAVE FUN
Answer:
ThThaThanThanks
Step-by-step explanation:
Answer:
YAY FREE FOR ALL *starts headbanging*
Step-by-step explanation:
lol have a blessed day
what is the answer to 2/5x = 5
Answer:
12.5 or 12 1/2
Step-by-step explanation:
Answer:
x= 12.5 or 12 1/2
Step-by-step explanation:
in the diagram, AB is parallel to DE. Also, DE is drawn such that the length of DE is half the length of AB. If sin A=0.5, then what is sin E?
Answer:
I got sin E = 0.5
Thus answer choice C being the correct choice
Hope this helps ;)
Step-by-step explanation:
For given diagram, sin(E) = 0.5
What is transversal?"It is a line that passes through two lines in the same plane at two distinct points."
What are parallel lines?"These are the lines in the plane that are at equal distance from each other and never meet."
For given question,
AB is parallel to DE.
We can observe that, the line segment AE is transversal.
So, ∠DEF and ∠FAB are alternate interior angles.
We know, when a transversal intersects two parallel lines, then each pair of alternate interior angles is equal.
⇒ ∠FAB = ∠DEF
⇒ ∠A = ∠E
⇒ sin(A) = sin(E)
As, sin(A) = 0.5
⇒ sin(E) = 0.5
Therefore, sin(E) = 0.5
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Evaluate 3 m + n 2 8 when m = –6 and n = 12.
Answer:Answer is 318
Step-by-step explanation:3 times -6 is -18
28 times 12 is 336
-18 + 336 is 318
So therefore the answer would be 318.
hich correctly explains how to estimate 33 percent of 87?
Round 33 percent to 20 percent and 87 to 80. Think of 20 percent as 10 percent + 10 percent. Find 10 percent of 80 as 8. So, 30 percent of 80 is 8 + 8, which is 16.
Round 33 percent to 30 percent and 87 to 90. Think of 30 percent as 10 percent + 10 percent + 10 percent. Find 10 percent of 90 as 9. So, 30 percent of 90 is 9 + 9 + 9, which is 27.
Round 33 percent to 35 percent and 87 to 90. Think of 35 percent as 10 percent + 10 percent + 10 percent. Find 10 percent of 90 as 9. So, 35 percent of 90 is 9 + 9 + 9, which is 27.
Round 33 percent to 40 percent and 87 to 80. Think of 40 percent as 10 percent + 10 percent + 10 percent. Find 10 percent of 80 as 8. So, 40 percent of 90 is 8 + 8 + 8, which is 24.
Answer
The anwser is C - Round 33 percent to 30 percent and 87 to 90. Think of 30 percent as 10 percent + 10 percent + 10 percent. Find 10 percent of 90 as 9. So, 30 percent of 90 is 9 + 9 + 9, which is 27.
Step-by-step explanation:
I got the anwser correct first try on the quiz.
Hope this helps!
Answer:
B: Round 33 percent to 30 percent and 87 to 90. Think of 30 percent as 10 percent + 10 percent + 10 percent. Find 10 percent of 90 as 9. So, 30 percent of 90 is 9 + 9 + 9, which is 27.
Step-by-step explanation:
I took the quiz on edge 2020
-2- 3(7-k) =-4(2k-1)
Answer:
k=27/11
Step-by-step explanation:
Curtis estimates that he can run 18 mph. About how many feet per second can Curtis run if there are 5280 feet in a mile?
What value of m makes the equation true? 2(m+1.5)=m+10
Answer:
2(m+1.5)=m+10 m=7
Step-by-step explanation:
Distribute 2 to the m and the "1.5". You get 2m+3
You then drop the m+10 and the equation is 2m+3 = m+10
After that, you subtract the "m" over to the "2m" which becomes m+3 = 10
You then subtract the 3 over to the 10 which finally comes to m=7
Choose the best description for the real number 34 over 3
We need to know aut rational numbers to solve this problem. The correct answer is C, rational because it is a fraction.
Rational numbers are numbers that can be written as p/q where q is not equal to zero. In this question 34 over 3 can be written as a fraction, 34/3 where 3 is not equal to zero, so we can safely say that 34 over 3 is a rational number. Now for the reasoning part,
34/33= 11.333...
So we can see that the fraction 34/3 is a repeating decimal and not a terminating decimal. Repeating decimal is a decimal where the numbers after the decimal point keep repeating without an ending. Terminating decimal is a decimal in which the decimal terminates at one point. We can see that in this question 34/3 is not a terminating decimal.
Therefore we see that the best description for 34 over 3 is that it is a rational because it is a fraction.So option C is the correct answer.
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Your question was incomplete. Please refer below for the full content.
The question has 4 options that describe 34 over 3, which are:
A Irrational, because it is a fraction
B Irrational, because it is a repeating decimal
C Rational, because it is a fraction
D Rational, because it is a terminating decimal
What is the 21st term of the sequence with a1 = -5 and d = 6?
PLZ quick it is important
Answer:115
Step-by-step explanation:use the theory: a+(n-1)d= nth term
Answer:115
Step-by-step explanation:got it right on a test
Solving two step equations.
-4p + 19=11
Answer: p = 2
Step-by-step explanation:
hope this helps :)
I WILL LITERALLY LOVE YOU THIS IS DUE TONIGHT PLEASEEE
Find the scale factor using the given scale drawings and measurements
below.
Scale Factor:
Actual = 3 cm
Scale Drawing = 5cm
Answer:
[tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Scale factor: [tex]\frac{5}{3}[/tex]
Graphing a Linear Equation
Try it
Which graph represents the equation y = x - 3?
42
2
4
1
4
Answer:
The third one
Step-by-step explanation:
This table gives the minutes players spent practicing basketball free throws and the number of baskets they made when they were timed the next day at practice.
Practice time (min) 45 100 57 8 90 63 25 84 30 120 19 18
Baskets made 15 21 18 5 22 18 19 23 16 20 7 10
What is the correlation coefficient of the data?
0.12
0.64
0.80
0.92
Answer:
0.79769, or 0.80 if you round it up
Step-by-step explanation:
Brandon started with $25 in his savings account he adds $15 per week for a weeks write an expression to represent his account balance after w weeks
Answer:
15w + 25
Step-by-step explanation:
Answer:
Step-by-step explanation:
Well you would Multiply w by 15 for how many weeks and I can't add the answer because how do you multiply w by 15??? _/O\_