A rectangular piece of paper with length 32 cm and width 14 cm has two semicircles cut out of it, as shown below.
Find the area of the paper that remains. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer
Answers
Answer:
Step-by-step explanation:
Related Questions
Given the following function: y=x^2+10x+25 Using your knowledge of discriminants, how many solutions does this function have?
Answers
Answer:
One solutionStep-by-step explanation:
Given function:y = x² + 10x + 25This is a quadratic function.
A quadratic equation has:Two solutions if discriminant is positive;One solution if discriminant is zero;No solution if discriminant is negativeFind the discriminant of the given function:D = b² - 4ac = 10² - 4*1*25 = 100 - 100 = 0This function has one solution since its discriminant is zero.
Answer:
one real solution
Step-by-step explanation:
Discriminant
[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]
[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]
[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]
Given function:
[tex]y=x^2+10x+25[/tex]
Therefore:
[tex]a = 1[/tex][tex]b = 10[/tex][tex]c = 25[/tex]Substitute the given values into the discriminant:
[tex]\implies 10^2-4(1)(25)=0[/tex]
As the discriminant equals zero, there is one real solution.
which ordered pair could represent a y-intercept on a graph
Answers
Answer: (0,6)
Step-by-step explanation:
If $6000 was expected in sales and only $5100 was attained, what reduced fraction represents sales attained?
Answers
The reduced fraction that represents the sales attained is 17/20
How to determine the fraction?The given parameters are:
Expected = $6000
Attained = $5100
The fraction is represented as:
Fraction = Attained/Expected
So, we have:
Fraction = 5100/6000
Divide by 300
Fraction = 17/20
Hence, the reduced fraction is 17/20
Read more about fractions at:
https://brainly.com/question/1622425
#SPJ1
help solve these algebraic fractions please with explanation would be great <3
Answers
Answer:
7/ Ans;
[tex] \frac{x + 2}{ x + 4} \div \frac{ {x }^{2} - 2x - 8}{ {x}^{2} + 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{ {x}^{2} + 2x - 8 }{ {x}^{2} - 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{(x - 2)(x + 4)}{(x - 4)(x + 2)} \\ \\ \\ =1 \times \frac{x - 2}{x - 4} \\ \\ \\ = \frac{x - 2}{x - 4} [/tex]
___o__o__
9/Ans;
[tex] \frac{ {x}^{2} - 9}{ {x}^{2} - 6x + 9} \div \frac{x + 4}{x - 3} \\ \\ \frac{ {x}^{2} - 9 }{ {x}^{2} - 6x + 9} \times \frac{x - 3}{x + 4} \\ \\ \\ \frac{(x + 3)(x - 3)}{(x - 3)(x - 3)} \times \frac{x - 3}{x + 4} \\ \\ \\ = \frac{(x + 3)}{1} \times \frac{1}{(x + 4)} \\ \\ \\ = \frac{x + 3}{x + 4} [/tex]
__o__o__
In the two questions, we first replace the division with multiplication with flipping the fraction after the division sign, secondly we analyze any equation that needs analysis to simplify it, thirdly, to simplify the fraction by deleting the numerator and the similar denominator .
Leon drives a long distance to attend a family reunion. At 12:00 PM, his gas tank is completely filled with 12 gallons of gas. Leon’s car uses gas at a constant rate, and after two hours of driving, Leon notices that his car used five gallons of gas. Leon will stop to get gas when his tank is one fourth of the way full. If Leon’s car continues to use gas at the same constant rate and Leon makes no other stops on his trip, at what time will Leon stop to get gas? Be sure to include AM or PM in your answer.
Answers
Based on the rate that Leon's car uses gas, the time that Leon will stop to get gas is 3:36 pm.
When will Leon stop to get gas?Leon will stop to get gas when the tank is 1/4 full which is:
= 1/4 x 12
= 3 gallons
The rate at which the car uses gas is:
= Gallons used / Time traveled
= 5 / 2
= 2.5 gallons per hour
The number of hours till he has to stop is:
= (12 gallons - 3 gallons) / 2.5
= 3.6 hours
The time that Leon will stop is:
= 12pm + 3.6 hours
= 12 pm + 3 hours 36 minutes
= 1536 hours
= 3:36 pm
Find out more on calculations involving consumption per hour at https://brainly.com/question/25049845.
#SPJ1
Some of the following integers are prime. Compute the sum of the prime integers in the list. (a) 197 (b) 497 (c) 1111 (d) 2111 (e) 2643 (f) 3599
Answers
The sum of the prime integers in the list is 10158.
What are Prime Numbers ?The numbers that are divisible by 1 or itself is called a Prime Number.
The sum of two prime numbers is not a prime number
The given prime numbers are
197 , 497, 1111 ,2111 , 2643 , 3599
=197+ 497+1111+2111+2643+3599
= 10158
The sum of the prime integers in the list is 10158.
To know more about Prime Number
https://brainly.com/question/9315685
#SPJ1
The length of a rectangular dassroom floor is
19 feet less than twice its width. write an
expression to represent the area of the floor
in simplest form.
Answers
Answer:
W(2W-19)
Step-by-step explanation:
let length = L
length= L feet
let Width= W
from the question,
twice the width = 2W
then L = 2W-19
the area of the rectangle
Area= length × width
Area= 2W-19×W
Area= 2W^2-19W
Area= W(2W-19)
Which choice belongs in space 5!!!
Answers
Enter segments in the blanks provided that would result in a true equation.
Answers
Answer: [tex]\frac{ML}{MK}[/tex]
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so since OP corresponds to ML and NP corresponds to MK (since they are opposite the corresponding congruent angles), the answer is ML/MK.
Pls help to find intervals of increasing, decreasing, and range. Quadratic btw T-T
Answers
Answer:
left side:
Range: For all Y inside of Real, y>= -2
Increasing: (-2, inf) For all x inside of Real
Decreasing:(inf, -2) For all x inside of Real
Right side:
Range: For all Y inside of Real, y<= 1
Increasing: (-1, inf) For all x inside of Real
Decreasing:(inf, 1) For all x inside of Real
Mr. Addison is building a sandbox shaped like a rectangular prism. The sandbox is 9ft long, 5ft wide, and 2.5 ft deep. How many cubic ft of sand will the sandbox hold?
Answers
Volume is what you are looking for
Volume is L x W x H
9x5x2.5 = 112.5 cu ft
What is the value of x.
Answers
Answer:
Step-by-step explanation:
x + x + 36 = 180
2x + 36 = 180
2x = 144
x = 72
Help with this inequality pleaze
Answers
Answer:
108 cm^2
Step-by-step explanation:
Trapezoid area = (a+b)/2 * h
= (6+12)/2 * 6 = 54 cm^2
Triangle area = b*h/2 = 12* (15-6) / 2 = 54 cm^2
Total area is 54+54 = 108 cm^2
Porter's coat has a diameter of 8 millimeters. What is the button's area
Answers
A=1/4 · π · d^2.
So let’s use this to solve the diameter of the button.
1/4·π·8^2≈50.26548
We can then round to a final answer of 50.27.
Hope this helps!
The graph of an absolute value function contains the points (–3, 5), (0, 2) and (3, 5). Which could be the function represented by this graph? Check all that apply.
f(x) = |x| + 2
f(x) = –|x| + 2
f(x) = |x| – 2
f(x) = |–x + 2|
f(x) = |–x| + 2
f(x) = –|x| – 2
f(x) = |x + 2|
Answers
The absolute value functions that contains the points are:
f(x) = |x| + 2f(x) = |-x| + 2Which could be the function represented by this graph?Here we have the points (-3, 5), (0, 2), and (3, 5). We want to see which ones of the given functions have that points.
To check that, we need to evaluate the functions in the first value of each point and see if the outcome is the second value of the correspondent point.
For example, for the first equation:
f(-3) = |-3| + 2 = 5 so it has the point (-3, 5)f(0) = |0| + 2 = 2 so it has the point (0, 2)f(3) = |3| + 2 = 5 so it has the point (3, 5).The other option that also contains these 3 points is:
f(x) = |-x| + 2
f(-3) = |3| + 2 = 5 so it has the point (-3, 5)f(0) = |-0| + 2 = 2 so it has the point (0, 2)f(3) = |-3| + 2 = 5 so it has the point (3, 5).And all the other options can be trivially discarded (by evaluating them).
So the two correct options are:
f(x) = |x| + 2f(x) = |-x| + 2If you want to learn more about absolute value functions:
https://brainly.com/question/3381225
#SPJ1
Question 5 and 6 I need answers to
Answers
Answer:
and also mark me the brainliest for the answer
Step-by-step explanation:
Determine whether each set of side lengths could be the sides of a right triangle. drag and drop each set of side lengths to the correct box. right triangle not a right triangle
Answers
The set of side lengths that could be the sides of a right triangle must follow the Pythagoras theorem
How to determine the side lengths?The rule of the side lengths of a right triangle is:
[tex]c^2 = a^2 + b^2[/tex]
Where c is the length of the longest side, and a and b represent the lengths of the triangle
This in other words mean that:
All right triangles obey the Pythagoras theorem
Note that I gave a general explanation because the question is incomplete
Read more about right triangles at:
https://brainly.com/question/2437195
#SPJ4
n = ut - ½gt2 Find h when u = 100
t=1% & g=6.4
Answers
Step-by-step explanation:
h = ut - ½gt²
h = 100 (0.01) – 1/2 × 6.4 × (1/100)²
h = 1 – 1/2 × 6.4 × 0.0001
h = 1 – 0.00032
h = 0.99968 ≈ 0.9
300% of 7 is what percent of 42?
A. 30%
B. 50%
C. 60%
D. 12.5%
Answers
Answer:
B. 50%
Step-by-step explanation:
Step by step by me I guess
The solution is , B) 50% of 42 is 300% of 7.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here. we have,
given that,
300% of 7
we have to that is what percent of 42.
now, we know,,
300% of 7 = 300 * 7 /100
[300% is the same as 3. So to find 300% of 7 , 3 times 7 and get 21.]
i.e. 300% of 7 = 3* 7
= 21
Now we need to find _% times 42 = 21.
let, it = x
now,
Divide 21/42 to get 0.5.
This is the same thing as 50%.
so, we get,
50% of 42 = 21
i.e. 300% of 7 = 50% of 42
Hence, The solution is , B) 50% of 42 is 300% of 7.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ7
which set of measurements could be the side lengths of a triangle
13cm 7cm 4cm
7cm 10cm 8cm
9cm 4cm 4cm
2cm 8cm 12cm
Answers
Answer:
Hi,
Step-by-step explanation:
(13,7,4) may not be a triangle since 13 is not little than 7+4=11
(7,10,8,) may be a triangle (7 < 10+8 , 10 < 7+8, 8 < 10+7)
(9,4,4) no since 9 is not < 4+4
(2,8,12) no since 12 is not < 2+8
The only answer is (7,10,8)
Select the correct answer.
The Cohen family started their wheat farm in 1995. The equation models the number of bushels of wheat they produced each year, where tis
the number of years since 1995.
C(t)= 7,000+500 In(t + 1)
The Mason family also started their wheat farm in 1995. The graph models the number of bushels of wheat they produced each year, where t
is the number of years since 1995.
M(t)
Answers
A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct statement is D.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
If we draw the graph of the Cohen family, then the graph will look as shown below. Therefore, if we observe the graph of the Cohen family and the graph of the Mason family. Then we will observe that the wheat production of both farms will approach a stable amount as the years pass.
Hence, the correct statement is D.
Learn more about Graph:
https://brainly.com/question/21608293
#SPJ1
The circle is centered on point p. points j, k and l lie on the circumference. zjlk
measures 47. find the measure of zjpk.
Answers
Using the giving information, the measure of ∠JPK is 94°
Circle GeometryFrom the question, we are to determine the measure of ∠JPK
From one of the circle theorems,
Angle at the center is twice the angle at the circumference
That is,
∠JPK = 2 × ∠JLK
From the given information,
∠JLK = 47°
∴ ∠JPK = 2 × 47°
∠JPK = 94°
Hence, the measure of ∠JPK is 94°
Learn more on Circle Geometry here: https://brainly.com/question/17074363
#SPJ1
√34=
need some solution please
Answers
Answer:
34 1/2
Step-by-step explanation:
Kayden es piloto de acrobacias. Una vez
que debía escapar de un edificio a punto de
explotar, manejó a velocidad constante para
llegar a la zona de seguridad, que estaba a
160 metros de distancia. Después de 3
segundos de manejar, estaba a 85 metros
de la zona de seguridad.
Sea y la distancia (en metros) a la zona de
seguridad después de a segundos.
Completa la ecuación para la relación
entre la distancia y el número de
segundos.
=
Y
Answers
La ecuación para la relación entre la distancia y el número de segundos: y =-25x+160.
Ecuación para la relación entre la distanciax=0, y=160m
x=3, y=85m
Dónde:
x=Tiempo
y=velocidad
El primer paso es encontrar el tiempo
Tiempo = (85-160m)/ 3s
Tiempo=-75m/3s
Tiempo=-25 m/s
El segundo paso es crear la ecuación
y =-25x+160
Por lo tanto la ecuación de la relación entre la distancia y el número de segundos: y =-25x+160.
Obtenga más información sobre la ecuación aquí: https://brainly.com/question/2972832
#SPJ1
Accuracy is a measure of how close an answer is to actual or expected value true or false
Answers
Answer:
True
Step-by-step explanation:
Hello there!
Accuracy refers to a measure of how close an answer (this can also be measurement) to actual or expected value. This is a clear definition which has also been postulated by International Standard of Units (ISO). And therefore the claim above is true.
I hope this helps you.
Have a nice studies.
Solve each equation for the given variable 2/3(x-6)=6
Answers
Answer:
2/3(x-6)=6
x-6=6(3/2)
x-6=9
x=9+6=15
A triangle has a perimeter of 77 cm. One side of the triangle is double the base. The other side is quadruple the base. What are the 3 side lengths? Show your work
Answers
The three sides of the triangles are 11 cm, 22cm, and 44cm.
What is the perimeter of a triangle?The perimeter of the triangle can be calculated by the sum of all the three sides of the triangle.
A triangle has a perimeter of 77 cm.
Let the side of the triangle be x, y, and the base z.
One side of the triangle is double the base.
x = 2z
The other side is quadruple the base.
y = 4z
The perimeter
X + y + z = 77
or
2z + 4z + z = 77
7z = 77
z = 11
So, the length of base z is 11 cm.
The other sides as
x = 22
y = 44
Therefore,The three sides of the triangles are 11 cm, 22cm, and 44cm.
Learn more about triangle here;
https://brainly.com/question/15107373
#SPJ1
how do i solve this pleasee
Answers
This data should be displayed as a Histogram as there are specified into different ranges.
Bar graphs should be chosen only when they are divided into various categories.
Plot the data's in Histogram format like this (range to range):
Identify whether the change represent growth or decay and determine the percentage rate increase or decrease in y= 16(1.059)^z
Answers
Answer: Growth rate of 5.9%
Step-by-step explanation:
Since 1.059>1, it represents growth.
[tex]1+r=1.059 \\ \\ r=0.059=\boxed{5.9\%}[/tex]
A cheetah sprints at a speed of 112 km/h. Calculate the time taken in seconds it takes to sprint 1.4 km.
Answers
Answer:
0.75
Step-by-step explanation:
Time = D/S
D = 1.4 km
S = 112km/h
Time = 14/1120
=1/80
1/80 × 60 ( 1 hour =60 s)
=0.75 second