Find the area of the figure shown in the diagram to the nearest hundredth.
A) 16.00 m2
B) 28.57 m2
C) 41.13 m2
D) 49.12 m2
Answers
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This figure is a composition of two quarter-circles and a square
Area of quarter circle = (1/4)*(area of circle)
Area of quarter circle = (1/4)*(pi*r^2)
Area of quarter circle = (1/4)*(pi*4^2)
Area of quarter circle = (1/4)*(pi*16)
Area of quarter circle = (1/4)*16*pi
Area of quarter circle = 4pi
There are two quarter circles, so the two circular areas add to 4pi+4pi = 8pi
Area of square = s*s = 4*4 = 16 square meters
Add the square area to the circular area: 8pi+16
Now use a calculator to find 8pi+16 = 41.1327412287183 which rounds to 41.13
Related Questions
Solve the system of equations.
4x-9y - 2=0
12x-5y+38=0
x equals?
y equals?
Answers
II: 12x-5y+38=0
start by eliminating x by multiplying the first equation by 3 and subtracting II:
3*(4x-9y-2)-(12-5y+38)=3*(0)-0
12x-27y-6-12x+5y-38=0
-22y-44=0
-44=22y
-2=y
-> insert y=-2 in I:
4x-9*(-2)-2=0
4x+18-2=0
4x+16=0
4x=-16
x=-4
so the solution is y=-2 and x=-4
Answer:(-4,-2)
Step-by-step explanation:
What is X the two numbers are 46 and 71
Answers
Jonah finished a race in 11.62 seconds. Marco finished the same race in 9.8 seconds. How many seconds faster did Marco finish the race than Jonah?
A. 1.82 seconds
B. 2.22 seconds
C. 10.64 seconds
D. 11.36 seconds
Answers
The sum of the square of two negative numbers is 74. The difference is 24. determine the two numbers
Answers
The required negative numbers are -5 and -7.
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
Let the required negative numbers be x and y.
The sum of the square of two negative numbers is 74.
(x)² + (y )² = 74
x² + y² = 74
(x)² - (y)² = 24
y² - x² = 24
y² = x² + 24
Substitute the value of y² = x² + 24 in the equation x² + y² = 74,
x² + 24 + x² = 74
2x² = 74 - 24
2x² = 50
x² = 25
x = √25
x = ±5
x = 5, -5
Take the negative value as per the question.
Substitute the value of x = -5 in the equation y² = x² + 24,
y² = (-5)² + 24
y² = 25 + 24
y² = 49
y = √49
y = ±7
y = - 7
Therefore, the required negative numbers are -5 and -7.
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Final answer:
The problem is solved by converting the given conditions into a system of equations, which is then solved to find the two negative numbers. The numbers obtained, -3 and -27, satisfy both given conditions.
Explanation:
The question provided is a mathematical problem involving the determination of two negative numbers given that their squares sum to 74 and their difference is 24. Let's denote the smaller number as x and the larger number as y. The given conditions can be represented by two equations: [tex]x^2 + y^2 = 74[/tex] and y - x = 24.
To find the values of x and y, we solve these equations simultaneously. First, use the second equation to express y in terms of x:
y = x + 24
Then, substitute this expression for y into the first equation:
[tex]x^2 + (x + 24)^2 = 74[/tex]
This simplifies to a quadratic equation in x, which can be solved to find the value of x, and subsequently, y can be determined using the expression
y = x + 24.
After solving the quadratic equation, you find that the two negative numbers are -3 and -27, satisfying both the sum of their squares equaling 74 and their difference being 24.
Dana painted a wall in her bedroom that is 10.5 feet tall and 23.5 feet wide.she used exactly 3quarts of paint to cover the wall.How many square feet will 1quart of paint cover? Please explain
Answers
Start off by multiplying 10.5 by 23.5, to get the area of her wall - 246.75 square feet. This took up 3 quartz of paint, so divide both 246.75 by 3 to find out how many square feet were painted with only 1 quartz, 82.25 square feet! :D Hope I helped!
Marvin counts six $5 bills. write each value that he counts. what pattern do you see in the one digits of the values he counts?
Answers
Explanation
1) Simulate the counting of the bills:
number of bills counted value ones digit
1 5 5
2 5 + 5 = 10 0
3 10 + 5 = 15 5
4 15 + 5 = 20 0
5 20 + 5 = 25 5
6 25 + 5 = 30 0
2) Pattern: you can see that the ones digit alreternate: 5, 0, 5, 0, 5, 0, ...
If the number of bills counted is odd the ones digit is 5, if the number of bills is even the ones digit is 0.
When counting $5 bills, the values are $5, $10, $15, $20, $25, $30 with a pattern in the one digits of 5, 0, 5, 0, 5, 0. This demonstrates the pattern of addition with multiples of five.
Explanation:Marvin is counting $5 bills, hence each time he counts a bill the total value increases by $5. The values Marvin counts are $5, $10, $15, $20, $25, $30.
The one digits in these values form a pattern, specifically, they are 5, 0, 5, 0, 5, 0.
This pattern repeats every two counts: a 5 followed by a 0. This is because adding 5 to a multiple of 10 results in a number ending in 5, and adding another 5 results in another multiple of 10, which always ends in 0.
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A recycling bin is in the shape of a right rectangular prism. The bin is 12 meters long, 512 meters wide, and 612 meters tall. What is the volume of the recycling bin? 3534 m³ 360 m³ 429 m³ 51834 m³
Answers
Answer:
3534
I just agree with the comment above me.
A plot of land is a pentagon with vertices Q(-4, 4), R(2, 4), S(4, 1), T(2, -4), and U(-4, -4).
Each unit of the coordinate grid represents one meter.
Fencing costs $24.75 per meter. What is the cost of placing a fence around the plot of land?
Answers
The measure of UT is also 6 meters.
The measure of QU is 8 meters.
To find the measure of RS, we use the distance formula:
[tex]\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}[/tex]
We substitute the coordinates of R and S into the formula and have:
[tex]\sqrt{(2-4)^2+(4-1)^2} \\ =\sqrt{(-2)^2 + (3)^2} \\ =\sqrt{4+9} \\=\sqrt{13} \\=3.61[/tex]
To find the measure of ST we use the distance formula again, substituting the coordinates for S and T into the formula:
[tex]\sqrt{(4-2)^2+(1--4)^2} \\=\sqrt{(2)^2 + (1+4)^2} \\=\sqrt{4+5^2} \\=\sqrt{4+25} \\=\sqrt{29} = 5.39[/tex]
Now we find our perimeter by adding the sides together: 5.39 + 3.61 + 6 + 6 + 8 = 29 meters
Since fencing costs $24.75 per meter, we multiply this by our perimeter:
29(24.75) = $717.75
Jessica opened an appeal shop five years ago.
Answers
Abigail is redecorating her house. A scale drawing of 2 rooms can be seen below. If each 6 cm on the scale drawing equals 12 ft, what are the actual dimensions of Abigail’s house?
Room measurements:
A: 9 cm
B: 10 cm
C: 9 cm
D: 8 cm
E: 7 cm
Answers
we know that
scale factor r=[dimension scale drawing]/[actual dimension]
r=6/12=0.5 cm/ft
[actual dimension]=[dimension scale]/r
for dimension scale=9 cm
[actual dimension]=[9]/0.5=18 ft
for dimension scale=10 cm
[actual dimension]=[10]/0.5=20 ft
answer
the actual dimensions of Abigail’s house are 18 ft x 20 ft
the area of Abigail’s house is (18*20)=360 ft²
Jane is planting flowers in her garden. She planted 8 flowers on Saturday and 10 on Sunday. So far she planted 2/5 of her flowers. How many flowers does she have total?
Answers
Ben and Angela were riding their bicycles one afternoon. They kept track of their own cycling rates, as shown in the graphs below.
Answers
The student's question pertains to the mathematical analysis of motion, specifically through the interpretation of velocity versus time and position versus time graphs related to cycling activities and races.
Explanation:The question involves interpreting graphs that represent the velocity versus time and position versus time of two individuals riding bicycles and a race between friends. Students in middle school are often introduced to concepts of speed, velocity, and displacement and are tasked with analyzing graphs to understand these concepts in a practical scenario. The problem sets mentioned, including the velocity-time graphs, position-time graphs, and measurements of motion through various activities such as biking or collision events, are all connected to the mathematical analysis of motion in physics. By understanding how to read these graphs, students can determine factors such as constant velocity, average speeds, displacement, and the outcomes of simple collisions. These skills are essential in developing an understanding of kinematics, which is a branch of classical mechanics that describes the motion of points, objects, and systems of bodies without considering the causes of motion.
PLZZZZ HELP WILL MARK BRAINLIEST
Which statement is true about the distribution?
A line ranging from 10 to 45 with boxes between 15 and 25, and 25 and 40.
A.The IQR is the best measure of variability because the distribution has no outliers.
B.Either the IQR or the range are good measures of variability because the distribution has an outlier.
C.The range is the best measure of variability because the distribution has an outlier.
D.Either the IQR or the range are good measures of variability because the distribution has no outliers.
Answers
The correct answer is : D.Either the IQR or the range are good measures of variability because the distribution has no outliers.
Hopes this helps u :D
Answer:
answer is not that asnwer is iat the bottom
Step-by-step explanation:
Either the IQR or the range are good measures of variability because the distribution has no outliers.
Your cookie recipe calls for 34 cup of flour. You want to make 3 batches of cookies. Which diagram shows how much flour you need? ...
Answers
Hope this helps ;)
Jim is 3 times as old as his cousin and the difference in their ages is 18. How old is Jim?
Answers
The Jim's age is 27.
It is required to find the age of Jim.
What is average?Number that is calculated by adding quantities together and dividing the total by the number of quantities.
Given that:
Let cousin's age = x
Let Jim's age = 3x
Since the difference between their ages is 18,
3x - x = 18
Solving for x,
2x = 18
x = 9
Cousin's age is 9.
Jim's age is 27.
So, the Jim's age is 27.
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If 3p+4q=8 and 4p+3q=13, what is q equal to?
Answers
Solver the equation 5= w + 1.5.
Answers
subtract both sides by 1.5
3.5 = w
ANSWER: w= 3.5
Hope this helps! :)
write 0.21 as a fraction in simplest form
Answers
0.21 = 0.21
Now we do a fraction
21/100
That is in it's lowest terms
~Deceptiøn
0.21 as a fraction in simplest form is 21/100.
What is a fraction?In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
In this exercise and scenario, we would convert the given decimal number 0.21 into a fraction by converting it into a percentage as follows;
0.21 = 21/100
Fraction: 21/100 = 0.21.
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help its easy i just have to much work! i need 4-8
Answers
.. 7x -(6 -2x) = 3
.. 9x = 9 . . . . . . . . . add 6, collect terms
.. x = 1
.. y = 6 -2*1 = 4
(x, y) = (1, 4)
5. Substituting for x:
.. 3(y -4) +y = 12
.. 4y = 24 . . . . . . . add 12, collect terms
.. y = 6
.. x = 6 -4 = 2
(x, y) = (2, 4)
6. Substituting for x:
.. 4(y -5) -y = 4
.. 3y = 24 . . . . . . . add 20, collect terms
.. y = 8
.. x = 8 -5 = 3
(x, y) = (3, 8)
7. y = 2x -6 . . . . . add 2x to the first equation
Substituting for y:
.. 5x -(2x -6) = 9
.. 3x = 3 . . . . . . . add -6, collect terms
.. x = 1
.. y = 2*1 -6 = -4
(x, y) = (1, -4)
8. x = 2 -3y . . . . . add -3y to the first equation
Substituting for x:
.. y -(2 -3y) = -6
.. 4y = -4 . . . . . . . add 2, collect terms
.. y = -1
.. x = 2 -3*(-1) = 5
(x, y) = (5, -1)
what is 3/10 in money form?
Answers
What is the approximate solution of this system of equations?
y = x2 + 3x + 3
y = x2 + x + 2
(-0.5, 0.2)
(-0.5, 1.7)
(-0.1, 1.2)
(0.2, 1.5)
Answers
If 200% of x is equal to 50% of y and x = 16, what is the value of y?
Answers
Multiply x by 2.
16 x 2 = 32
Since it is equal to 1/2 of y,
multiply it by 2 once more.
32 x 2 = 64
y = 64.
Hope this helps!
Marcus saves $13 each week.in how many weeks will he saved at least $100
Answers
So your answer is 8 weeks
Hope this helps:D
Have a great rest of a brainly day!
13 × a = 100
divide both sides by 13 , and you get a = 7.7 (approximately)
So round it to the nearest whole number which is 8 .
it would take approximately 8 weeks to save $100
Can someone help me find the value of b? Thank you!
Answers
Which completely describes the polygon
A: equilateral
B: equiangular
C: regular
D: congruent
the shape is Hexagon
Answers
Line JM intersects line GK at point N. Which statements are true about the figure? Check all that apply.
GNJ is complementary to JNK.
MNL is complementary to KNL.
MNG is complementary to GNJ.
KNJ is supplementary to MNL.
GNM is supplementary to JNK.
Answers
First, we must know this: Complementary angles are two angles whose sum is equal to 90°, while supplementary angles are two angles whose sum is equal to 180°. That been said, the only statement which is true is the second statement, MNL is complementary to KNL
Reasons why others are False
GNJ is supplementary to JNK, not complementary
MNG is supplementary to GNJ, not complementary
LNJ (not KNJ) is supplementary to MNL
GNM is equal to JNK, not supplementary
Answer:
its 2 and 5
Step-by-step explanation:
A computer program reduces the length of each side of an 8'' by 8'' square photograph by 25%. What is the area, in square inches, of the reduced photo?
Answers
The geometric mean of 8 and 32
Answers
In this case, there are 2 numbers, which means you take the square root. If there were 3 numbers, you'd take the cube-root, and so on...
First, multiply 8 and 32 to get 256. Now, take the square root of 256, which is 16. This is the geometric mean.
The geometric mean of 8 and 32 is 16.
Given :
The two numbers 8 and 32
To find:
The geometric mean of given numbers.
Solution
The geometric mean is given by the formula:
[tex]G.M=\sqrt[n]{x_1\times x_2\times x_n}[/tex]
n = num ber of terms
According to question : n = 2
The geometric mean of given numbers:
[tex]G.M=\sqrt[2]{8\times 32}\\\\G.M=\sqrt[2]{256}\\\\G.M=16[/tex]
The geometric mean of 8 and 32 is 16.
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Solve the equation V - E + F = 2 for E
Answers
The given equation can be solved in terms of E as E = V + F - 2.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The given equation is V - E + F = 2.
It can be solved as,
⇒ V - E + F = 2
⇒ V + F = 2 + E
⇒ E = V + F - 2
Hence, the solution for E can be obtained as E = V + F - 2.
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Final answer:
The equation V - E + F = 2 is solved for E by simple algebraic manipulation, resulting in the solved equation E = V + F - 2.
Explanation:
To solve the equation V - E + F = 2 for E, we need to isolate E on one side of the equation. This can be done through simple algebraic manipulation as follows:
Start with the original equation: V - E + F = 2.Add E to both sides: V + F = E + 2.Now, subtract 2 from both sides to solve for E: E = V + F - 2.The solved equation for E is thus E = V + F - 2.
This equation shows the relationship between the vertices (V), edges (E), and faces (F) in a polyhedron, known as Euler's formula in the context of geometry.
Find the volume of this sphere.
Answers
The formula I use is 4(3.14)(r^3)/3, I think it's easier, but that's just me. Hope this helps! ٩(ര̀ᴗര́)