A triangle is placed in a semicircle with a radius of 4 mm, as shown below. Find the area of the shaded region. Use the value 3.14 for pie and do not round your answer. Be sure to include the correct unit in your answer.
Answers
The area of the shaded portion of the diagram is 9.12 mm²
How to find area of a figure?The triangle is inside the semi circle.
The shaded region of the semi circle is outside the triangle.
Therefore,
area of the shaded region = area of the semi circle - area of triangle
Therefore,
area of the semi circle = 1 / 2 πr²
where
r = radiusHence,
r = 4 mm
area of the semi circle = 1 / 2 × 3.14 × 4²
area of the semi circle = 50.24 / 2
area of the semi circle = 25.12 mm²
area of the triangle = 1 / 2 bh
where
b = base h = heightHence,
b = 8mm
h = 4mm
area of the triangle = 1 / 2 × 8 × 4
area of the triangle = 32 / 2
area of the triangle = 16 mm²
Therefore,
area of the shaded region = 25.12 - 16
area of the shaded region = 9.12 mm²
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Related Questions
Given f(x) = 3(4-x), what is the value of f( − 2)? Enter your answer in the answer box.
Answers
Answer:
f(-2) = 18
Step-by-step explanation:
In order to calculate a function of x, we replace x
For example
f(x) = x
f(-2) = -2
In this specific scenario
f(x) = 3 * (4 - x)
f(-2) = 3 * (4 - -2)
- -2 turns positive
f(-2) = 3 * (4 + 2)
Now we use PAMDAS (parentheses, exponents, multiplication, division, addition) as an operation order, so we first solve the parantheses
f(-2) = 3 * 6
f(-2) = 18
Point A is 3 units to the right of, and 20 units lower than, point B. Find the
slope of the line connecting points A and B.
O 20
3
O 20
3
O
-17
3
20
Answers
Answer:
02987329619
Step-by-step explanation:
02987329619
Answer:
kk
Step-by-step explanation:
Given the equation below, find the x and y−intercepts by completing the table.What is the problem with using these intercepts to graph the equation in #7?The ordered pair (x, y) you found in #7 is called the
Answers
In order to find the x-intercept we need to make y=0
[tex]-4x+2(0)=0[/tex]Then we isolate the x
[tex]-4x=0[/tex][tex]x=0[/tex]x y Ordered Pair type of intercept
0 0 (0,0) x-intercept
Now for the y-intercept we need to make x=0
[tex]-4(0)+2y=0[/tex]we isolate the y
[tex]2y=0[/tex][tex]y=0[/tex]0 0 (0,0) y-intercept
ANSWER
0 0 (0,0) x-intercept
if a person invests $120 at 8% annual interest, find the approximate value of the investment at the end of 5 years
Answers
Answer:
$48
Step-by-step explanation:
Simple interest (I) = PRT/100
Where P = principal
R= rate
T = time
.: Simple Interest = 120 × 8 × 5
---------------
100
S. I = $48
.: the approximate value of the investment at the end of 5 years will be = $48
The table shows negative integers to represent the lowest elevations below sea level on each of the 7 continents.
Which continent has a lower elevation than North America?
Answers
The continents that have a lower elevation than North America are Africa and Asia.
What is elevation?It should be noted that elevation simply had to do with the height above sea level of a particular thing. Any of numerous huge landmasses is referred to as a continent. Up to seven geographical regions are usually regarded as continents, based on convention rather than precise requirements.
A continent is one of the seven major land divisions on Earth. Asia, Africa, North America, South America, Antarctica, Europe, and Australia are the continents, in order of size.
In this case, the table shows negative integers to represent the lowest elevations below sea level on each of the 7 continents.
In the table, Africa has -512 and Asia had -1312. It should be noted that these are lower than in North America.
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The following table shows the profit rates for Nike and Adidas
Nike -2 (x - 2)
Adidas -17 + x
If x represents the number of shoes purchased, how many shoes have to be purchased until both companies earn the same amount? Create and solve the equation.
Answers
The number of shoes that have to be purchased until both companies earn the same amount is 21.
How to calculate the number of shoes?Based on the information, the profit rates for Nike and Adidas are illustrated as:
Nike -2 (x - 2)
Adidas -17 + x
In this case, x represents the number of shoes purchased,
The number of shoes that have to be purchased until both companies earn the same amount will. be:
2(x - 2) = 17 + x.
2x - 4 = 17 + x
2x - x = 17 + 4
x = 21
The number of shoes will be 21.
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What is the answer
Three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. Determine the cost of the jalapeno poppers.
Answers
The cost of the jalapeno poppers is $11.09 .
In the question ,
it is given that
Cost of the nachos = $18.85
amount paid by each friend = $9.98
amount paid by three friends = 9.98*3 = $29.94
let the cost of jalapeno poppers = $x
So according to the question
the total amount paid by three friends = cost of nachos + cost of jalapeno poppers
Substituting the values from above , in the equation we get
29.94 = 18.85 + x
simplifying further , we get
x = 29.94 - 18.85
x = 11.09
Therefore , the cost of the jalapeno poppers is $11.09 .
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Given the diagram below as shown, find the value of x, y, and m
Answers
The unknown variables and angles are as follows:
x = 10y = -5m∠YTE = 36°How to find angles?The sum of angles on a straight line is 180 degrees.
Therefore, the sum of angles on line STA is 180 degrees.
CT bisect STE
Angle STE Is a right angle.
Therefore,
5x + y + 3 + 3x + 12 = 90
5x + 3x + y + 12 + 3 = 90
8x + y + 15 = 90
8x + y = 90 - 15
8x + y = 75
Ty bisect ETA
Angle ETA Is a right angle.
Therefore,
y + 41 + 5x + 4 = 90
5x + y + 45 = 90
5x + y = 90 - 45
5x + y = 45
Combine the equation
8x + y = 75
5x + y = 45
subtract equation(ii) from equation(i)
3x = 30
x = 30 / 3
x = 10
y = 75 - 80
y = -5
Therefore,
m∠YTE = y + 41 = -5 + 41 = 36°
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Find the axis of symmetry using the formula. X = -b/2a
Answers
x = 2
Explanation:f(x) = -2x² + 8x - 9
Comparing this function with f(x) = ax² + bx + c
a = -2, b = 8, c = -9
The axis of symmetry is given by the formula:
x = -b/2a
Substitute a = -2 and b = 8 into the formula:
[tex]\begin{gathered} x=\frac{-8}{2(-2)} \\ \\ x=\frac{-8}{-4} \\ \\ x=2 \end{gathered}[/tex]x = 2
Write and solve an equation for this problem. First represent the number of each item and the total cost for each item.
Kawan buys some protein bars at $0.80 each and bottled water at $0.90 each for a group hike. He buys twice as many bottles of water as protein bars. If he spends $52 in total, how many bottles of water and protein bars does he buy?
Let x = the number of protein bars
Answers
When he spends $52 in total, the number of bottles of water and protein bars that he buys will be 40 and 20 respectively.
How to calculate the equation?It should be noted that an equation is used to show the relationship between the variables.
In this case, Kawan buys some protein bars at $0.80 each and bottled water at $0.90 each for a group hike and he buys twice as many bottles of water as protein bars.
Let x = the number of protein bars
Table waters = 2x
Therefore, the equation will be:
0.8x + 0.9(2x) = 52
0.8x + 1.8x = 52
2.6x = 52
Divide
x = 52/2.6
x = 20
The number of proteins bars is 20.
The number of water will be:
= 2x.
= 2 × 20 = 40
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question is in box and you don’t need to show work if you don’t want to
Answers
ANSWER:
8 square meters
STEP-BY-STEP EXPLANATION:
To calculate the area of the sector, we must first calculate the area of the entire circle and then by means of a proportion, knowing that the entire area is 360° and the sector is 45°, we could determine the area we need.
Just like this:
[tex]\begin{gathered} A_c=\pi\cdot r^2 \\ \\ \text{ We replacing:} \\ \\ A_c=\pi\cdot8^2=64\pi \\ \\ \text{ Therefore, we calculate the value of the area of the sector as follows:} \\ \\ A_s=64\pi\cdot\frac{45\degree}{360\degree} \\ \\ A_s=8\pi\text{ square meter} \end{gathered}[/tex]The area of the sector is 8 square meters
9h - 27 What is the greatest common?factor Expand the expression
Answers
Given
9h-27
Answer
[tex]\begin{gathered} 9h-27 \\ 9(h-3) \\ \end{gathered}[/tex]Greatest common factor = 9
hi, please help!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
2/17, 8/17, and 11/17
7/21, 7/18, 7/14, 7/12, and 7/8
2/12, 2/10, 2/8, 2/6, and 2/4.
Step-by-step explanation:
the order would be 2/17, 8/17, and 11/17 since the bottom number (denominator) stays the same while the numerator (top number) increases.
the order for the 2nd one would be:
7/21, 7/18, 7/14, 7/12, and 7/8. The reason for this is that when the numerator stays the same and the denominator increases, the value of the fraction decreases. For example, 1/2 is greater than 1/4, and 1/4 is more than 1/5 because 5 is greater than 4. This only works when the numerator (top number) stays the same.
The order for the 3rd one would be:
2/12, 2/10, 2/8, 2/6, and 2/4. Again, the numerator stays the same while the denominator changes. As the denominator goes down, the value of the fraction goes up.
Also if possible label your question the correct difficulty this is like middle school not college
1) A gallon jug of milk is 3/4 full. After breakfast the jug is 1/12 full. How much milk did your family have at breakfast?
Answers
well, your family really ate "x" for breakfast, was pretty good with cereal and strawberries btw.
let's keep in mind that the LCD of the denominators 4 and 12 is "12", so we'll use that to do away with the denominators.
[tex]\stackrel{\textit{before breakfast}}{\cfrac{3}{4}}~~ - ~~\stackrel{for~breakfast}{x}~~ = ~~\stackrel{leftover}{\cfrac{1}{12}} \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{3}{4}-x \right)~~ = ~~12\left( \cfrac{1}{12} \right)}\implies 9-12x=1 \\\\\\ 9=12x+1\implies 8=12x\implies \cfrac{8}{12}=x\implies {\Large \begin{array}{llll} \cfrac{2}{3}=x \end{array}}[/tex]
The skeletal system is not responsible for which of the following?
Answer now
Answers
D. moving red blood cells around the body
Reynado ordered 12 large pepperoni pizzas. The total cost was $101.40. Write a direct variation function for the cost of one large pepperoni pizza. How much would 5 large pepperoni pizzas cost?
Answers
Answer:
(1) y = 8.45x
(2) Total cost: $42.25
Step-by-step explanation:
Let's see by constructing a first-hand example of the information we have.
$101.40 = 12x
Divide 12 on both sides.
When we divide 12 from both sides, we get the simplified answer of:
x = 8.45
This means that each pizza will be $8.45 each, therefore this will be out=r equation
y = 8.45x
(where x is the number of pizzas and y is the total amount cost.
To find the cost of 5large pepperoni pizzas, we use our equation above (y = 8.45x) and input a 5 in x;
y = 8.45(5)
y = 42.25
The total cost for the 5 pizzas will be $42.25.
I sent pic for help.
Answers
Answer:Explanation:
• T
,• 0.320
The player's on-base percentage = 0.320
This is equally the relative frequency of the player being on base.
Thus, the appropriate method is the relative frequency method.
Thus, the probability that the player will get on base in his next appearance is 0.320.
I need help with this question.
Answers
Given:
There is a graph given in the question
Required:
We want to find the solution of the given graph
Explanation:
As we can see that, both lines are parallel so there is no chance for intersection
now if there is no intersection point means there is no solution
Final answer:
No solution
Pat and Terry believe the color yellow attracts hummingbirds. They decided to test their hypothesis by doing an experiment in which they set up four hummingbird feeders with the same amount of food and placed them in locations only hummingbirds could reach. One feeder was yellow, one was red, one was blue, and one was clear. Each day for one week, Pat and Terry measured and recorded the amount of food left in each of the feeders. At the end of the experiment the red feeder had the least amount of food left in it. What conclusion should Pat and Terry reach?
Answers
Step-by-step explanation:
red feeder is smarter
Order these numbers from least to greatest
6.3071, 6.7 6.408, 6.47
Answers
Answer:
6.3071, 6.408, 6.47, 6.7
Step-by-step explanation:
6.3071, 6.408, 6.47, 6.7, hope this helped!
Answer:
In bold below.
Step-by-step explanation:
6.3071, 6.7 6.408, 6.47
= 6.3071, 6.408, 6.47, 6.7
a segment drawn from the center of the circle to which letter creates a terminal side that forms a central angle of 2pi/3 radians?
Answers
2pi/3 radians=120 degrees
F is 90 degree.
j is 180 degree
midpoint of F and J is 150 degree.
H is 150 degree
Hence,
G is 120 degree
HELPPPP PLEASEEE!!!
(MATH AND CHEMISTRY RELATED)
Answers
b) 0.72 m^3
c) 1728 kg
Divide the steps into three manageable parts. Calculate the volume of each part and add them together. Convert units into m^3. Finally, multiply by the given density to find the steps' weight.
See details:
Please help na po need na po talaga, please correct answers po brainliest
Directions: Draw a Venn diagram and list the elements of each given set. Input your answer inside each box. Enclose your answer with braces and do not put a space in between characters or numbers. Refer to the sample item below.
Sample Given: A ∩ B
Sample Answer: {2,3}
Let A= {1, 2, 3, 4, 5} B = {2, 3, 5, 7, 11}, C= {3, 5, 7, 9}
1.) A ∪ B ∪ C =
3.) (A – B) ∩ C =
5.) A' ∪ B =
Answers
The set A ∪ B ∪ C will be {1, 2, 3, 4, 5, 7, 9, 11}, (A – B) ∩ C is ∅, and A' ∪ B is {2, 3, 5, 7, 9, 11}.
What is the Venn diagram?It is defined as a diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
The universal set will be:
U = {1, 2, 3, 4, 5, 7, 9, 11}
Let:
A = {1, 2, 3, 4, 5}
B = {2, 3, 5, 7, 11},
C= {3, 5, 7, 9}
1) A ∪ B ∪ C = {1, 2, 3, 4, 5, 7, 9, 11}
3) (A – B) ∩ C = {1, 4} ∩ C= {3, 5, 7, 9}
(A – B) ∩ C = ∅
5) A' ∪ B = {7, 9, 11} ∪ {2, 3, 5, 7, 11}
A' ∪ B = {2, 3, 5, 7, 9, 11}
Thus, the set A ∪ B ∪ C will be {1, 2, 3, 4, 5, 7, 9, 11}, (A – B) ∩ C is ∅, and A' ∪ B is {2, 3, 5, 7, 9, 11}.
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7. AXYZ with X(-2, 2), Y(4,2), and Z(1, -5); rotate 180° clockwise. 73 a. What are the vertices of the image after the transformation? 76 b. Graph the original triangle and its image. у
Answers
The given coordinate of the vertices of triangle XYZ is X(-2,2), Y(4,2) and Z(1,-5).
a). When rotates 180 degrees clockwise the new coordinate of the triangle can be determined as,
[tex]\begin{gathered} X^{\prime}(2,-2) \\ Y^{\prime}(-4,-2) \\ Z^{\prime}(-1,5) \end{gathered}[/tex]b). The original and the new coordinates of the triangle can be drawn as,
The original and the new triangles can be drawn as,
i need help please plaeswwosadcwefcuwn
Answers
The true statement is that both √15 and √0.001 are irrational , the correct option is (c).
Rational Numbers can be defined as the numbers that can be expressed in the form of p/q , where p and q are integers and q not equal to 0 .
For Example : 2/3 , 2, 8/3 are all Rational Numbers.
Irrational Numbers can be defined as the numbers that cannot be expressed in the form of p/q where , p and q are integers and q not equal to 0 .
For Example : √2 , √37 are irrational as they cannot be expressed in the form of p/q.
In the question ,
two numbers √15 and √0.001 are given .
the first number √15 is not a perfect square , hence not an integer ,
So, √15 is an irrational number .
the second number
√0.001 = √(1/1000) = 1/√1000 = [tex]\frac{1}{10\sqrt{10} }[/tex]
we see that √10 is not an integer , hence √0.001 is an irrational number .
Therefore , the true statement is that both √15 and √0.001 are irrational , the correct option is (c).
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Where does the line through (1, 0, 1) and (4, −4, 4) intersect the plane x + y + z = 6?
Answers
The line through (1, 0, 1) and (4, −4, 4) intersect the plane x + y + z = 6 at point (7,-8,7).
As given,
Equation of the line passes through two points (1, 0, 1) and (4, −4, 4) is:
[tex]\frac{x-4}{4-1}=\frac{y+4}{-4-0}=\frac{z-4}{4-1}[/tex]
From the above equation we have
(x-4)/3 =(y+4)/-4
⇒-4x+16= 3y+12
⇒y=(-4x +4)/3 __(1)
And
(x-4)/3=(z-4)/3
⇒z=x __(2)
Substitute the value of y and z in the plane x +y+ z=6 to get point of intersection of line and plane
x+ [(-4x +4)/3] +x=6
⇒3x-4x+4 +3x =18
⇒2x=14
⇒x=7
Substitute value of x in (1) and (2)
y=-8 and z=7
Therefore, the line through (1, 0, 1) and (4, −4, 4) intersect the plane x + y + z = 6 at point (7,-8,7).
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pelase slove these two problem i will give out those crown thingy!
Answers
Answer: $2.75
Step-by-step explanation:
2) Judy spent 3*5.25 = 15.75 on popcorn bags, 13.60 on a jumbo bag of chips and 7.90 for a dip. This means that overall she spent $37.25. If she had $40, this means that she have left $40 - $37.25 = $2.75.
1) Your answer is right.
PLS HELP MEEEEEEEEEEEEEEEEEEEEE PLS I BEG U
how could you use a graph of a proportional relationship to find any ratio in the the proportional relationship why does this work?
Answers
A graph of a proportional relationship can be used to find any ratio in the proportional relationship when the graph passes through the origin.
How to illustrate the information?A connection is proportional if its graph is a line that goes through the origin. The ratio is not proportionate if it is not a line or ray that doesn't accomplish this. K = y/x is the equation for the proportionality constant. The equation for the slope of a straight line with respect to the origin is the same as this.
A relationship is proportionate if its graph is a line or ray that passes through the origin. It is not proportionate if the line or ray does not go through the origin. Additionally, something is not proportionate if it is not linear.
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left on together, the cold and hot water faucets of a certain bathtub take 8 minutes to fill the tub. If it takes the hot water faucet 18 minutes to fill the tub by itself how long will it take the cold water faucet to fill the tub on its own
Answers
The time taken to fill the bathtub by cold water is 14.4 minutes.
Given,
Time taken to fill a bathtub by both cold and hot water = 8 minutes
Time taken to fill the bathtub by hot water = 18 minutes
Time taken to fill the bathtub by cold water = t minutes
We have to find t.
We can take the full bath tub as 1.
Now,
We can equate the given data:
We get,
(8/18) + (8/t) = 1
Now, solve the equation:
((8 × t) + (8 × 18) ) ÷ (18 × t) = 1
(8t + 144) ÷ 18t = 1
8t + 144 = 18t
18t - 8t = 144
10t = 144
t = 144/10
t = 14.4
That is,
The time taken to fill the bathtub by cold water is 14.4 minutes.
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How can you transform the equation 8x - 10 + 10 + 4x = -10 + 6x + 6x + 10 into the form of a = a, where a is a number, to show that the equation has an infinite number of solutions? Select all that apply.
A. by adding 12x to both sides of the equation and then simplifying
B. by subtracting 8x to both sides of the equation and then simplifying
C. by subtracting 12x from both sides of the equation then simplifying
D. by subtracting 20 from both sides of the equation then simplifying
E. by dividing 6x from both sides of the equation and then simplifying
Answers
Step-by-step explanation:
Simplifying
8x + -10 + 10 + 4x = -10 + 6x + 6x + 10
Reorder the terms:
-10 + 10 + 8x + 4x = -10 + 6x + 6x + 10
Combine like terms: -10 + 10 = 0
0 + 8x + 4x = -10 + 6x + 6x + 10
8x + 4x = -10 + 6x + 6x + 10
Combine like terms: 8x + 4x = 12x
12x = -10 + 6x + 6x + 10
Reorder the terms:
12x = -10 + 10 + 6x + 6x
Combine like terms: -10 + 10 = 0
12x = 0 + 6x + 6x
12x = 6x + 6x
Combine like terms: 6x + 6x = 12x
12x = 12x
Add '-12x' to each side of the equation.
12x + -12x = 12x + -12x
Combine like terms: 12x + -12x = 0
0 = 12x + -12x
Combine like terms: 12x + -12x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Simplifying
8x + -10 + 10 + 4x = -10 + 6x + 6x + 10
Reorder the terms:
-10 + 10 + 8x + 4x = -10 + 6x + 6x + 10
Combine like terms: -10 + 10 = 0
0 + 8x + 4x = -10 + 6x + 6x + 10
8x + 4x = -10 + 6x + 6x + 10
Combine like terms: 8x + 4x = 12x
12x = -10 + 6x + 6x + 10
Reorder the terms:
12x = -10 + 10 + 6x + 6x
Combine like terms: -10 + 10 = 0
12x = 0 + 6x + 6x
12x = 6x + 6x
Combine like terms: 6x + 6x = 12x
12x = 12x
Add '-12x' to each side of the equation.
12x + -12x = 12x + -12x
Combine like terms: 12x + -12x = 0
0 = 12x + -12x
Combine like terms: 12x + -12x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.