Find the area to the nearesy square foot of the shaded region below, consisting of a square with a circle cut out of it.
Answers
Based on the calculations, the area of the shaded region is equal to 22 square foot.
How to calculate the area of the shaded region?By critically observing the geometric shapes, the area of the shaded region can be calculated by using this formula:
Area of shaded region = Area of square - Area of circle.
Note: The diameter of this circle is equal to the side length of the square because the circumference of this circle lies on the circumference of the square.
Radius = diameter/2 = 10/2 = 5 feet.
For the area of square, we have:
Area of square = S²
Area of square = 10²
Area of square = 100 square foot.
For the area of circle, we have:
Area of circle = πr²
Area of circle = 3.14 × 5²
Area of circle = 78.5 square foot.
Substituting the parameters into the formula, we have;
Area of shaded region = Area of square - Area of circle.
Area of shaded region = 100 - 78.5
Area of shaded region = 21.5 ≈ 22
Area of shaded region = 22 square foot.
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Complete Question:Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π.
Related Questions
hope you do well in math and thx for the help
Answers
[tex]|\Omega|=12^2=144\\|A|=4^2+3^2+5^2=16+9+25=50\\\\P(A)=\dfrac{50}{144}=\dfrac{25}{72}\approx35\%[/tex]
Now explore a few more-difficult problems.
Which of the following statements are true for all the
problems?
The first step is always to divide.
○ The last step is always to subtract.
The decimal always moves one place to the right.
The next to last step is always to multiply.
Answers
The statement that is true for all the problems is " The last step is always to subtract.". Option B. This is further explained below.
What is Arithmetic?Generally, Arithmetic is simply defined as the area of mathematics concerned with the study and manipulation of numbers and their properties.
In conclusion, "The final step is always to subtract." is the universally true solution to the difficulties.
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Answer: B & D
Step-by-step explanation: I did this assignment.
A wooden roller is 1 m long and 8 cm in diameter. Find it's mass in grams if 1cm³ of the wood has a mass of 0.7 g
Answers
Answer:
1120π grams
==> 3518.58 grams using value of π = 3.14159 or
==> 3520 grams using value of π = 22/7
Step-by-step explanation:
Volume of a cylinder = πr²l where r is the radius of the base and h is the length of cylinder
The diameter of the cylinder, d = 8cm and radius = d/2 = 4cm
Length = 1 meter = 100 cm
Here, volume V = π.4².100 = π x 16 x 100 = 1600π cm³
Since 1 cm³ has a mass of 0.7gm total mass
M = 0.7V = (0.7)1600π =1120π gm
Using the ratio 22/7 for pi we get
M = 1120 x 22/7 = 3520 g
If we use the more accurate value of π as 3.14159 then we get
M = 1120 x 3.14.159 = 3518.58 g which is more accurate
For each of the descriptions below, create a system of linear inequalities (please help will mark brainliest for whoever answers correctly!)
Answers
Answer:
hope you can understand
The height in feet of 25 trees is shown below (lowest to highest). 25, 27, 33, 34, 34, 34, 35, 37, 37, 38, 39, 39, 39, 40, 41, 45, 46, 47, 49, 50, 50, 53, 53, 54, 54
outlier if any
Answers
There are no outliers in the dataset of the heights in feet of 25 trees
How to determine the presence of outliers?The sorted dataset is given as:
25, 27, 33, 34, 34, 34, 35, 37, 37, 38, 39, 39, 39, 40, 41, 45, 46, 47, 49, 50, 50, 53, 53, 54, 54
Outliers are relatively far from other elements of the dataset.
The highest and the least elements are 54 and 25, respectively.
Other elements of the dataset are relatively close to these two elements
Hence, there are no outliers in the dataset of the heights in feet of 25 trees
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Tess has a garden that is 4 1/2 feet wide and 6 3/4 feet long. How many feet of fencing does she need to put around all sides of her garden?
Answers
Answer:
11.25
Step-by-step explanation:
6 3/4 + 4 1/2
⚠️WILL GIVE BRAINLIEST⚠️Which equation represents circle N?
A.
(x + 7)2 + (y − 6)2 = 25
B.
(x − 7)2 + (y + 6)2 = 25
C.
(x + 7)2 + (y − 6)2 = 50
D.
(x − 7)2 + (y + 6)2 = 50
Answers
Answer:
your answer is option C
Step-by-step explanation:
hope you can understand
Answer:
The answer is indeed C, (x + 7)2 + (y − 6)2 = 50
Step-by-step explanation:
Got it right on edmentum/plato, the other guy is correct. Give him brainliest!
please help please help
Answers
Answer:
angleEAF=angleBAC (शिर्षभिमुख कोण भएर)
10x+90+5x=180 (सरल कोण भएर)
or, 15x+90=180
or, 15x=180-90
or, 15x=90
or, x=90÷15
or, x=4
Answer:
x=6
Step-by-step explanation:
90°+5x+10x=180°
90°+15x=180°
15x=180°-90°
15x=90°
x=90/15
=6
10×6=60
5×6=30
60°+30°=90°
90°+90°=180°
x=6 QED
6 liters of a gas has a pressure of 4 atmospheres. The gas's original pressure was 6 atmospheres.
What was the original volume in liters?
Enter your answer as a decimal to the 10th place, like this: 4.2 l
Answers
The original volume of the gas was 9.0 liters.
What is proportion?Proportion is a mathematical expression of quantities in their rate form.
Analysis:
If 6 liters of the gas has a pressure of 4 atmosphere.
Then 1 atmosphere of the gas is 6/4 liters
Therefore 6 atmospheres = 6/4 x 6 = 9.0 liters
In conclusion, the Original volume of the gas was 9.0 liters
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I need to find values of product and quotient functions
Answers
The answers are 8 and 2
What is a function?A function is an equation that establishes a relationship between two or more variables.
Analysis:
r(x) x s(x) = 2[tex]\sqrt{x}[/tex] x [tex]\sqrt{x}[/tex] = 2x
r2(4) = 2 x 4 = 8
r(x)/s(x) = 2[tex]\sqrt{x}[/tex]/ [tex]\sqrt{x}[/tex] = 2
In conclusion, the values of the product and quotient of the functions are 8 and 2 respectively.
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Esther gave the storekeeper a twenty dollar bill for a purchase of $14.51. How
much change should she have received?
Answers
Answer:
She would have received $5.49 change
Answer:
$5.49 ~$5.50
Explanation: $20 - $15.51 = $5.49 therefore you have to round off which would initially equal to $5.50
What is the surface area of this 3d character based off the illustration. Can you provide explanation. Thank you.
Answers
The surface area of this 3d character based off the illustration will be 289.
How to explain the surface area?It should be noted that the surface area simply means the amount of space that covers the outside of a shape.
Here the length of the shape is 17 and the width is also 17 as well. It should be noted that the width and length are determined by looking at the axis of the shapes drawn.
In this case, the area will be:
Length × Width
= 17 × 17
= 289
In conclusion, the surface area is 289.
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Give the standard form 80,000+200+2
Answers
Answer:
80,202 = 8.0202 × 10⁴
value of the discriminant for the equation -3x=-x^2+2x
Answers
Step by Step Explanation:
1. Isolate the formula so everything is on one side and equal to 0. (-x^2 + 5x=0)
2. The formula used for the discriminant is b^2-4ac.
a=-1, b=5, c=0 sub in those values into the formula.
3. (5)^2 + 4(-1)(0) = 25
i need help with this question
Answers
2x2=4
8x4=32
8b2 = 32
Helpppppp asap with this
Answers
Answer:
I have no clue, cant lie to you. God Bless you though.
Step-by-step explanation:
For the arithmetic sequence beginning with the terms (11, 17, 23, 29, 35), what is the sum of
the first 17 terms?
a.) 1116
b.) 1003
c.) 1235
d.) 896
Answers
Option B is the correct answer.
The sum of 17 terms of the given arithmetic sequence is 1003.
What is Arithmetic Sequence?An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.
Here, given sequence :
11, 17, 23, 29, 35, ......
first term a = 11
common difference d = 17 - 11 = 6
n = 17
Sₙ = n/2 {2a + (n-1)d}
S₁₇ = 17/2 { 2 X 11 + (17-1)X6}
S₁₇ = 17/2 { 22 + 16 X 6}
S₁₇ = 17/2 X 118
S₁₇ = 17 X 59
S₁₇ = 1003
Thus, the sum of 17 terms of the given arithmetic sequence is 1003.
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Select the correct choice that completes the sentence below.
The expression
f(x+h)-f(x)
h
is called the
of f.
Answers
Answer:
difference quotient
Step-by-step explanation:
Which conversion factor should be used to convert the 152.5 g to moles?
Answers
Answer:
Step-by-step explanation:
You will need to know the gram weight per mole from the periodic table for the element ( or the molecule of elements) in question.
A hiking trail is shown as 14cm on a map the scale is 1:150000 how far in km is it in real life.
Answers
the scale says that each unit (cm/km/in/...) on the map is 150,000 times that unit so:
14cm on the map
= 150,000×14cm
= 2,100,000 cm
= 2100 km
(= 2.1 Mm)
Using the GCF factor the given expression: 21xy + 14y
7(3xy + 2y)
7y(3x + 2)
3(7xy + 14y)
7xy(3 +2)
ASAP
Answers
Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)
Greatest common factor of an expressionThe greatest common factor is the value that will divide an expression without leaving a remainder.
Given the expression 21xy + 14y
Find the factors
21xy = 7 * 3 * x * y
14y = 7 * 2* y
From the factors above, it is clear that 7 and y are the greatest common factors.
Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)
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Factor out
21xy=3×7×y×x14y=2×7×ySo
7y is common hence 7y is GCFNow factor up
7y(3x+2)Option B
What is the solution to this system of equations? 2x+y-5z=4 x+3y+z=5 3x-y-4z=-11
Answers
For the given linear system equations, the value for the variables are: x=-2, y=4, and z=-5 - Option C.
System of Linear Equations
System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
The question gives:
2x+y-5z=4 (1)
x+3y+z=5 (2)
3x-y-4z=-11 (3)
First, you should sum equations 1 and 2. The results will be:
3x+4y-4z=9 then you have a new equation (4).
3x-y-4z=-11 (3)
3x+4y-4z= 9(4)
Now, you should multiply equation (3) by -1, then you will have:
-3x+y+4z=+11 (3)
3x+4y-4z=9 (4)
After that, you should sum the previous equations: (3) and (4).
5y=20
y=4
For find z, you should multiply equation 2 by -2. After that, you should sum equations 1 and 2.
2x+y-5z=4 (1)
-2x-6y-2z=-10 (2)
Thus, you will have:
-5y-7z=-6, like y=4 you have
-5*4-7z=-6
-20-7z=-6
-7z=14
z=-2
If z=-2 and y=4 from equation 2, you can find x.
x+3y+z=5
x+3*4-2=5
x+12-2=5
x+10=5
x=5-10
x=-5
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A ball is thrown into the air with an initial velocity of 80 ft/sec. The height of the ball after t seconds in the air is given by h(t) = -16t? + 80t + 96. When will the ball be at its
highest point? Show all work.
Answers
Check the picture below.
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+80}t\stackrel{\stackrel{c}{\downarrow }}{+96} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]
[tex]\left(-\cfrac{ 80}{2(-16)}~~~~ ,~~~~ 96-\cfrac{ (80)^2}{4(-16)}\right) \implies \left( - \cfrac{ 80 }{ -32 }~~,~~96 - \cfrac{ 6400 }{ -64 } \right) \\\\\\ \left(\cfrac{5}{2}~~,~~96+100 \right)\implies \stackrel{highest~point}{\stackrel{\qquad ~~ \downarrow }{\left(2\frac{1}{2}~~,~~196 \right)}}[/tex]
Find the distance between the points (5,0) and (-5,3)
Answers
Answer:
10.4
Step-by-step explanation:
√(5--5)²+(0-3)²
√100+9
√109=10.4
How many right angles are formed by perpendicular lines in spherical geometry?
A.
8
B.
6
C.
2
D.
3
Answers
A. 8
Steps:
Perpendicular lines form 8 right angles.
Answer:
8
Step-by-step explanation:
I am good at math
which inequality is represented by the graph
Answers
Answer:
This is your teacher if you do this again, I will contact your parents and you will get in big trouble.
Step-by-step explanation:
What is the area of the hexagon below?
Answers
2 ³✓3 × 3✓2 please answer this fast
Answers
[tex]2\sqrt[3]{3} \cdot 3\sqrt 2\\\\=6 \cdot \sqrt[3]{3} \cdot \sqrt 2\\\\=6\cdot 3^{\tfrac 13} \cdot 2^{\tfrac 12}\\\\\approx 12.24[/tex]
Hopefully this helps
The diagram shows a circle inside a square (16cm)
work out the area of the circle
Answers
The area of the circle inside the square shape is 200.96 cm²
How to determine the area of the circle?The length of the square is given as:
L = 16 cm
This represents the diamater (d) of the circle.
The area of the circle is then calculated as:
Area = π(d/2)²
This gives
Area = 3.14 * (16/2)²
Evaluate
Area = 200.96
Hence, the area of the circle is 200.96 cm²
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Find dy/dx of y = sin inverse ( x - 1 ).
Answers
[tex] \frac{1}{ \sqrt{1 - {(x - 1)}^{2} } } [/tex]