Question 13
Find the area of the (gray) shaded region. (2 tangent circles inscribed in a rectangle):
20
Answers
Answer:
42.92 square
Step-by-step explanation:
The radius of the circles is 5m
So, area of 1 circle is π(5×5)=78.54 square
Two areas will (78.54+78.54)=157.08 square
Rectangles height is ( 5+5)=10m
Rectangles area is (10×20)=200 square
Shaded region=(200-157.08) square =42.92 square
Related Questions
Find the value of xx in the equation below.
11=
11=
\,\,x -6
x−6
Answers
The required value of x is 17 for the given equation 11 = x - 6.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question, as follows:
11 = x - 6
We can determine the value of x by adding 6 to both sides of the equation.
As per the question, we have
⇒ 11 = x - 6
⇒ 11 + 6 = x - 6 + 6
⇒ x = 11 + 6
Apply the addition operation, and we get
⇒ x = 17
Therefore, the required value of x is 17.
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The figure below is a scale drawing of a playhouse. In the drawing, the side of each house represents two and a half feet. Find the actual length of each segment.
Answers
5. The width of the house. = 30 feet
6. The height of the house. = 22.5 feet
7. The height of the first floor. = 12.5 feet
8. The height of the roof. = 10 feet
9. The width of the door. = 5 feet
10. The height of the door. = 7.5 feet
How to find the actual length of each segmentThe actual length of each segment is calculated by counting the units in the scale drawing and multiplying by the scale factor
In the problem, the scale factor is two and a half feet = 2.5 feet
5. The width of the house
number of units from the drawing = 12 units
actual length = number of units from the drawing * scale factor
actual length = 12 * 2.5 = 30 feet
6. The height of the house
number of units from the drawing = 9 units
actual length = 9 * 2.5 = 22.5 feet
7. The height of the first floor
number of units from the drawing = 5 units
actual length = 5 * 2.5 = 12.5 feet
8. The height of the roof
number of units from the drawing = 4 units
actual length = 4 * 2.5 = 10 feet
9. The width of the door.
number of units from the drawing = 2 units
actual length = 2 * 2.5 = 5 feet
10. The height of the door.
number of units from the drawing = 3 units
actual length = 3 * 2.5 = 7.5 feet
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Solve the differential equation by variation of parameters.
y'' + y = sin2 x
Answers
The solution to the differential equation y'' + y = sin2x is y = -2sin2x + (Acos2x + Bsin2x).
This differential equation can be solved by the method of variation of parameters. This method involves finding two arbitrary functions, U and V, such that U' = V and V' = -U + sin2x, so that the general solution of the differential equation is y = U + V. Solving the two equations yields U = Acos2x + Bsin2x and V = -2sin2x, where A and B are arbitrary constants. Substituting U and V into the general solution of the differential equation yields the final solution y = -2sin2x + (Acos2x + Bsin2x).
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Pls sm1 help I been asking for help for hours and no answer plss help
Answers
Answer:
6 kilometers
Step-by-step explanation:
2x3=6
please brainiest
Answer:
It explicitly states that 1cm represents a distance of 3km.
If the two places are 2cm apart...
it simply means that they're 6km apart!.
How many solutions does the equation 4y + 7 = 5 + 2 + 4y have?
A. One
B. Two
C. None
D. Infinitely many
Answers
Answer:
D. infinitely many
Step-by-step explanation:
5+2 = 7 so 4y + 7 = 5 + 2 + 4y just equals 4y + 7=4y + 7 and any value of y is true in that equation.
Answer:
D :)
Step-by-step explanation:
Add 55 and 22.
4y+7=7+4y4y+7=7+4y
Move all terms containing yy to the left side of the equation.
Subtract 4y4y from both sides of the equation.
4y+7−4y=74y+7-4y=7
Combine the opposite terms in
Subtract 4y4y from 4y4y.
0+7=70+7=7
Add 00 and 77.
7=77=7
Since 7=77=7, the equation will always be true for any value of yy.
All real numbers
The result can be shown in multiple forms.
All real numbers
Interval Notation:
(−∞,∞)
Find the mean and standard deviation for the set of data.
{31,12,21,6,28,5,26,23,19}
A. mean: 19; standard deviation: 8.87
B. mean: 19; standard deviation: 9.24
C. mean: 20; standard deviation: 8.87
D. mean: 20; standard deviation: 9.24
Answers
Answer:
if it says bit .ly etc don't click it
A book is 6 inches wide and 9 inches tall.
A rectangle is shown. The length of the rectangle is labeled 6 inches. The width of the rectangle is labeled 9 inches.
A publisher wants to use a scale factor of 1.5 to enlarge a book. What will the area of the front of the book be after the book is enlarged? (5 points)
a
54 in2
b
81 in2
c
121.5 in2
d
78.75 in2
Answers
The area of the front of the book after it has been enlarged would be = 121.5 in². That is option C.
What is a rectangle?A rectangle is defined as the type of quadrilateral which has two opposite sides that are equal and parallel and with four angles that are equal to 90°.
The length of the rectangular book= 6 inches
The width of the rectangular book = 9 inches
Using the scale factor of 1.5 the new length and width is thus:
length = 6 × 1.5 = 9 inches
9× 1.5 = 13.5
Therefore area of the book = l×W = 9 × 13.5 = 121.5 in².
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Help, please!!! I'll mark brainliest!!
Answers
Answer:
Step-by-step explanation:
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who can help me with this question Determine if each figure is a polygon or non-polygon. *
Answers
Answer:
A polygon is a two-dimensional closed figure that has three or more straight sides. Any figure with straight edges, such as a triangle or rectangle, is a polygon. Figures that have any curved sides or open sides are not classed as polygons
Step-by-step explanation:
A regular polygon is a polygon where all of the side lengths are equal and all of the angle measures are equal. ... However, the sides are not congruent. Therefore, it is an irregular pentagon. Irregular polygons have side lengths that are not congruent.
there's no pic that helps determine which is which but I hope this explanations helps you.
The circumference of a circle is C centimeters. The diameter of the circle is 13 centimeters.
Which expression best represents the value of pi?
A. C/6. 5
B. 6. 5/C
C. C/13
D. 13/C
Answers
The diameter of the circle C/13
The formula provides the circumference of a circle.
The circumference of any shape in mathematics designates the path or limit that surrounds the shape. In other words, the circumference, sometimes referred to as the perimeter, aids in figuring out how long the contour of a shape is. The size and perimeter of a circle are, as we all know, its two most important properties.
C = pi * d, where d is the diameter and c is the circumference.
C = pi * 13 gives the diameter as 13.
Subtract 13 from each side, C/13 = d.
Dimensions are C/13.
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The measure of an inscribed angle is 110°. What is the measure of the intercepted arc?
559
110°
220°
Answers
Answer: 220
Step-by-step explanation: See photo. The measure of an inscribed angle is equal to half the measure of the included arc.
110 = 1/2 x
220 = x
Jeff bought a 5-gallon bucket of paint. He used 1.25 gallons to paint his bedroom, then he used two-thirds of the remaining paint for his living room. How many gallons of paint did he use to paint his living room?
Answers
Answer:
2.5 gallons
Step-by-step explanation:
5-1.25=3.75
3.75/3=1.25
1.25*2=2.50
Answer:
2.5, or 2 1/2 gallons
Step-by-step explanation:
Help PlSss there’s people not helping I really need to bring my grades up
Answers
Answer:
center: P
Radius: 12cm
# of radii: 5
Diameter: 24cm
# of diameters: 2
Circumference: 75.36cm
Step-by-step explanation:
the center is labeled with the point p
radius is the distance from the center to the circumference of a circle
diameter is the distance from one point on a circle through the center to another point on the circle. (and twice the radius)
circumference is 2(pi)r
pi can be rounded to 3.14
1. What is a stock? a. A bank account b. A type of bank c. Shares that are given to only rich people who own companies d. Shares people buy and it gives them a small ownership of that company
Answers
Answer:
D
Step-by-step explanation:
Stocks represent ownership in companies. Anyone can purchase publicly traded stock shares.
there are 32 students who studied maths and 28 geography and 26 social science if there are total 40 students in school if they all studies one subject atleast then find maximum number of students who studied all subjects
Answers
Because you add 3+3 more if you do so you can add it. So when you get that question just add or multiply the number you are given.
The maximum number of students who studied all subjects is 6.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Total students = 40
Number of students who studied maths = 32
Number of students who studied geography = 28
Number of students who studied social science = 26
The maximum number of students who studied all subjects.
= Highest number of students who studied one subject - Least number of students who studied a subject
= 32 - 26
= 6
Thus,
6 is the maximum number of students who studied all subjects.
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Item 8 You put $400 in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate? The annual interest rate is %.
Answers
Answer:
6%
Step-by-step explanation:
$18/9=$2 interest per month
$2 x 12 = $24 annual interest.
24/400=6%
Sarah's teacher wrote this expression on the whiteboard. Where could she place brackets in the expression for it to be equal to 36?
Answers
Answer:
A. 24 ÷ [6 − 2] × 5 + 6
Step-by-step explanation:
Sarah's teacher wrote this expression on the whiteboard. 24 ÷ 6 − 2 × 5 + 6 Where could she place brackets in the expression for it to be equal to 36? A. 24 ÷ [6 − 2] × 5 + 6 B. 24 ÷ 6 − [2 × 5 + 6] C. [24 ÷ 6] − 2 × 5 + 6 D. 24 ÷ 6 − 2 × [5 + 6]
Rule of operations
BODMAS
B = Bracket
O = 0f
D = Division
M = Multiplication
A = Addition
S = Subtraction.
Check all options
A. 24 ÷ [6 − 2] × 5 + 6
= 24 ÷ (4) × 5 + 6
= 6 × 5 + 6
= 30 + 6
= 36
B. 24 ÷ 6 − [2 × 5 + 6]
= 4 - (10 + 6)
= 4 - 10 + 6
= 0
C. [24 ÷ 6] − 2 × 5 + 6
= 4 - 10 + 6
= 0
D. 24 ÷ 6 − 2 × [5 + 6]
= 4 - 2(11)
= 4 - 22
= -18
Option A is the correct answer
There are 20 gloves in a drawer: 5 pairs of black gloves, 3 pairs of brown,
and 2 pairs of gray. You select the gloves in the dark and can check them
only after a selection has been made. What is the smallest number of gloves
you need to select to guarantee getting the following?
(a) At least one matching pair
(b) At least one matching pair of each color
Answers
The number of gloves selected for each cases is 11 and 19 gloves respectively.
How is selection done?
In mathematics, most of the times selection is done using permutation and combination.
Putting things or numbers in order is known as a permutation.
Combinations are a means to choose items or numbers from a collection of items or groups of items without regard to their order.
Given,
Total black gloves = 5 left hand+ 5 right hand
Total brown gloves = 3 left hand + 3 right hand
Total gray gloves = 2 left hand + 2 right hand
Now to find the least number of gloves for the given conditions, we start with the worst condition.
a) To get at least one matching pair, we first consider no matching pair, which is (5 +3+2) gloves of only left only or right only hand of each colour.
Now to make one pair, we need to select only one glove of the opposite hand of any colour.
Therefore to get atleast one matching pair, smallest number of gloves to be selected = 5 + 3 + 2 + 1 = 11 gloves
b) In this case also we start with worst case.
For no matching pair of each colour we have to take 10 black gloves, 6 brown gloves and 2 gray gloves of any one hand.
Therefore to get matching pair of each colour, we have to take one more gray glove.
Therefore to get atleast one matching pair of each colour, smallest number of gloves to be selected = 10 + 6 + 2 + 1 = 19 gloves.
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Simplify the expression please!
Answers
Using the provided expression and the law of indices, The power get subtracted in division, The answer is [tex]6^{22}[/tex] .
What is a mathematical expression?A mathematical expression is a combination of numbers, variables, and mathematical operations that defines a specific value or a set of values. Examples of mathematical expressions include 2+3, x^2+y^2, and sin(x) + cos(y). These expressions can be evaluated to find a specific numerical value or they can be simplified, rearranged or manipulated using algebraic rules.
What do you mean by law of indices?The laws of indices, also known as the laws of exponents, are a set of rules that govern how exponents (or indices) are used in mathematical operations. These laws include:
a^m * a^n = a^(m+n) (product of powers)(a^m)^n = a^(m*n) (power of a power)a^m / a^n = a^(m-n) (quotient of powers)(a^m)^(-n) = a^(-m*n) (power of a reciprocal)These laws allow us to simplify expressions with exponents and make it easier to perform calculations involving them.
[tex]= \frac {6^{15}}{6^{-7}}\\= 6^{15-(-7)}\\= 6^{15+7}\\=6^{22}[/tex]
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Can someone please help me with this? and also help me understand how to do it I have a test this Friday.
Answers
Answer:
Refer to the image attached. If you have ANY questions about what I did/how I did it, please ask in the comments. I will be happy to help you understand! :)
Step-by-step explanation:
The average scores on Mrs. Wilson's test and Mr. Lewandowski's test were normally distributed on the last Algebra 2 test they gave. The average in my class Mrs. Wilson's class, was 86 with a standard deviation of 2. The average in my friend's class, Mr. Lewandowski's class was an 82 with a standard deviation of 2. If I made an 88 on the test and my friend made an 85 on their test, who had the better score relative to the rest of their class?
Answers
You had a better score relative to the rest of your class.
To compare the scores of you and your friend relative to the rest of their classes, we need to calculate the standard deviation of your score and your friend's score from the average of their respective classes.
A standard deviation of 2 means that 68% of the scores in the class fall within 1 standard deviation of the mean, or between 84 and 88 in the case of Mrs. Wilson's class. Since 88 is greater than 86 (the mean) and less than 2 standard deviations away (88-86 < 2*2=4) , so your score of 88 is better than the average score in your class.
On the other hand, 85 is less than 82 (the mean) and more than 1 standard deviation away (85-82 > 2) so your friend's score of 85 is less than the average score in their class.
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What's the volume in 16m 16m 12.4m
Answers
Answer: 3174.4
Step-by-step explanation:
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
a) A designer has a circular tablecloth with radius 0.5 m. He wants to sew a fringe around the cloth. The fringe is sold by the tenth of a meter.
(i) What length of fringe is needed?
(ii) One meter of fringe costs $4.70. How much will the fringe cost?
b) A semicircular mat has a diameter of 18 m. What is the area of the mat?
Answers
2) 4.70$
3) (r^2) / 2 = 81/2 = 40.5m^2
can the vertex also be a solution of a graphed parabola?
Answers
It’s midnight and I’m so confused someone please help or I’m going to summer school lol
Answers
WHat is the largest multiple of 5 that is less than 24
Answers
Answer:
20
Step-by-step explanation:
5*4=20
5*5=25, but it is bigger than 24.
So the ans is 20
Mona's math certificate is 10 inches tall and 14 inches wide. Mona wants to put the certificate in a fancy frame that costs $1.02 per inch. How much will it cost to frame Mona's math certificate?
Answers
Answer:
$48.96
Step-by-step explanation:
Given data
Length= 10inches
Width=14 inches
Let us find the perimeter of the certificate
P=2L+2W
P= 2*10+2*14
P=20+28
P= 48 inches
Hence if 1 inche cost $1.02
Then 48 inches will cost x
cross multiply we
x= 48*1.02
x= $48.96
Hence it will cost $48.96 to frame the certificate
URGENT
simplify (sinx+cosx)^2-(sinx-cosx)^2
Answers
Answer:
Solution given:
(sinx+cosx)^2-(sinx-cosx)^2sin²x+2sinxcosx+cos²x-(sin²x-2sinxcosx+cos²)1+2sinxcosx-1+2sinxcosx2(2sinxcosx)2sin2xStep-by-step explanation:
[note: sin²x+cos²x=1]
Answer:
(sinx+coax+sinx-cosx) ( sinx+cosx-sinx+cosx)
4sinxcosx
2sin2x
7.9 , 8.37 , 7.293 , 7.785 , 7.476 greatest to least..pls help!!
Answers
Answer: 7.785,7.476,7.293,8.37.7.9
Step-by-step explanation:
Can you help I’ll mark brainliest
Answers
Answer:
[tex]7\sqrt{3}[/tex]
Step-by-step explanation:
Since this is a 30-60-90 triangle, we know that the sides have the following characteristic:
The side opposite to 30 degree angle: n
The side opposite to 60 degree angle: [tex]n\sqrt{3}[/tex]
The side opposite to 90 degree angle: 2n
Since we know that 7 is opposite to 30-degree, and x is opposite to 60 degree, than we know that x = [tex]7\sqrt{3}[/tex]