Answers
[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]
Given :-The radius of the circle is 5 unitsTo Find :-We have to find the area of shaded region .Let's Begin :-The given figure is composed of two figures triangle and circle. In which triangle is enclosed in the circle.
The triangle is the unshaded region of the given figureWe know that,
Area of triangle
[tex]\bold{\red{ = }}{\bold{\red{\dfrac{1}{2}}}}{\bold{\red{\times{ Base }}}}{\bold{\red{\times{ height }}}}[/tex]
Here,
The base of the triangle is equal to the diameter of the circle that is, [tex]\sf{ Base = 5 + 5 = 10 \: units }[/tex]The height of the triangle is equal to the radius of the triangle that is[tex]\sf{ Height = 5 \:units }[/tex]Subsitute the required values,
Area of the given triangle
[tex]\sf{ = }{\sf{\dfrac{1}{2}}}{\sf{\times{ 10 }}}{\sf{\times{ 5 }}}[/tex]
[tex]\sf{ = 5 }{\sf{\times{ 5}}}[/tex]
[tex]\bold{ = 25\: units }[/tex]
Thus, The area of triangle is 25 units
NowWe have to find the area of the circle
The radius of the circle is 5 unitsWe know that,
Area of circle
[tex]\bold{\pink{ = }}{\bold{\pink{\pi{r^{2}}}}}[/tex]
Subsitute the required values,
[tex]\sf{ = }{\sf{\pi{(5)^{2}}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{22}{7}}}{\sf{\times{ 25}}}[/tex]
[tex]\sf{ = }{\sf{\dfrac{550}{7}}}[/tex]
[tex]\bold{ = 78.57\: units }[/tex]
Thus, The area of circle is 78.57 units
Therefore,Area of shaded region
= Area of circle - Area of triangle
Subsitute the required values,
[tex]\sf{ = 78.57 - 25 }[/tex]
[tex]\bold{\green { = 53.57 \: units }}[/tex]
Hence, The area of shaded region is 53.57 units.
The area of the shaded figure is 13.375 square units.
What is the area of the shaded region?
The shaded region is a circle with a triangle inside of it removed.
To get the area, we need to get the area of the circle and remove the area of the triangle.
Remember that for a circle of radius R, the area:
A = 3.14*R^2
In this case, we can see that the diameter of the circle measures 5 units, then the radius (half of the diameter) measures 2.5 units.
A = 3.14*(2.5)^2 = 19.625 square units.
And a triangle of base B and height H has an area:
A' = B*H/2
In this case, the base of the triangle is equal to the diameter of the circle, and the height is equal to the radius of the circle, so we have:
B = 5 units.
H = 2.5 units.
Then:
A' =5*2.5/2 = 6.25 square units.
Then the shaded area is:
shaded area = 19.625 square units - 6.25 square units.
= 13.375 square units.
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Related Questions
A vendor sold 81 hotdogs during a football game. If the ratio of hotdogs to hamburgers sold was 9: 4, how many hamburgers did the vendor sell? 7.
Answers
Answer:
36 hamburgers.
Step-by-step explanation:
He sold 81 hot-dogs, that's 9 unit.
9 units → 81
1 units → (81/9)
1 units → 9
4 units → 36
Therefore vendor sold 36 hamburgers.
Perry spent $22. 50 on material to make necklaces. He used all of the material and made 15 necklaces. How much should Perry charge for each necklace if he wants to make a profit of $60? $1. 50 $4. 00 $5. 50 $7. 0.
Answers
Answer:
$5.50
Step-by-step explanation:
22.5/15= 1.5
each necklace costs $1.50
$5.5 x 15(necklaces)=$82.5
82.5-22.5(cost of making all the necklaces)=$60
Please help, I need 8 through 10.
Answers
BC
-
Round your answer to the nearest hundredth.
B
70°
5
?
A
Answers
Working
BC= 5 * sin(70)
BC= 4.698
Round off to nearest hundredth
Therefore ,BC is 4.70
Which of the graphs below would result if you made the leading term of the
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F(x) = x^3 + 3x^2
Answers
Answer:
D
Step-by-step explanation:
Cubic equation: an algebraic equation of degree three and of the form
[tex]ax^3 + bx^2 + cx + d = 0[/tex], where a, b and c are the coefficients and d is the constant.
If the leading coefficient [tex]a[/tex] of a cubic equation is positive, the curve begins in quadrant III and ends in quadrant I
If the leading coefficient [tex]a[/tex] of a cubic equation is negative, the curve begins in quadrant II and ends in quadrant IV
For information
Graph A = cubic function with positive leading coefficient
Graph B = quadratic function with positive leading coefficient
Graph C = quadratic function with negative leading coefficient
Graph D = cubic function with negative leading coefficient
Therefore, if you made the leading coefficient of [tex]f(x)=x^3+3x^2[/tex] negative, it would be graph D.
Answer:
D graph D
Step-by-step explanation:
Solve log (x 1) = –x2 10 by graphing. Which equations should be graphed?.
Answers
Equal expressions can be taken as equal to some third quantity (which is not used previously, and is new). The equations for given equation to graph are: and
What is logarithm ?When you raise a number with an exponent, there comes a result.
Lets say you get
[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = \log_a(c)[/tex]
Log with base 10 is written as [tex]\log(x)[/tex] mostly.
For the given equation, using the above definition, we get:
[tex]log(x+1) = -x^2 + 10\\\\\\(x+1) = 10^{-x^2 + 10}\\x + 1 = 10^(-x^2} \times 10^10 = y\: \: \rm (say)\\[/tex]
Then we get two equations as:
[tex]y = x + 1\\y = 10^(-x^2} \times 10^10[/tex]
Graphing those equations and then getting their common intersection point will give us the solution, as plotted below in the attached graph.
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Answer:
y1= -x^2 + 10
y2 = log (x + 1)
Step-by-step explanation:
These are the two equations that should be graphed.
If 2x + 7 = 17, what is the value of 8x + 25?
Answers
Answer:
2x + 7 = 17
- 7
2x = 10
÷2
x = 5
8x5=40
40+25=65
8x + 25 = 65
Hope this helps!
Answer:
65
Step-by-step explanation:
given:
2x + 7 = 178x + 25make x the subject:
2x + 7 = 17
2x = 17 - 7
2x = 10
x = 5
Then apply elimination rule:
8x + 25
8(5) + 25
40 + 25
65
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Answer:
traingle
Step-by-step explanation:
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Identify the error Denise made when solving the following system of equations using the substitution method.
Answers
At second step
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[tex]\\ \tt\hookrightarrow 2x+6x+\boxed{2}=6[/tex]
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[tex]\\ \tt\hookrightarrow x=1/2[/tex]
find two numbers if their sum is 7.2 and their difference is 2.7
Answers
Answer:
4.95 and 2.25
Step-by-step explanation:
x+y=7.2
x-y=2.7
Add equations
x+y + x-y= (2x-y+y)=2x
7.2+2.7=9.9
Therefore 2x=9.9 x=9.9/2=4.95
x=4.95
x+y=7.2
4.95+y=7.2
y=7.2-4.95=2.25
y=2.25
Answer:
4.95 and 2.25.
Step-by-step explanation: This is really long... (PLEASE TAKE NOTE THE INFO ISNT DIRECTLY WRITTEN BY ME).
Adding equations (1) and (2), we get
Therefore
x=4.95
Substituting value of x from (3) in (1), we get
y=2.25
From (3) and (4), the two numbers are 4.95 and 2.25.
A recent television commercial asked viewers, "Do you have over $10,000 in credit card debt?"
What types of numbers are associated with the word debt, and why? Write a number that represents the value from the
television commercial.
Answers
Based on the information provided, the amount of money associated with the credit card debt is inferred to be $10,000.
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Answer:
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Step-by-step explanation:
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Answer:
y=mx+c
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Step-by-step explanation:
The admission fee at an amusement park is $2.25 for children and $7.20 for adults. On a certain day, 332 people entered the park, and the admission fees collected totaled $1638. How many children and how many adults were admitted
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Delisile spends 30% of her income on rent and 50%of the remaining on food and travelling. she pays R2200,00 per month for education and now has R3120,00 left . her monthly income is
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The total monthly income of Delisile including her spendings is R 1,520,000
How to find Delisile monthly incomeGiven:
x = Total monthly incomeAmount spent on rent = 39% of x= 0.30x
Amount remaining = x - 0.30x
= 0.70x
Amount spent on food and traveling = 50% of 0.70x
= 0.50 × 0.70x
= 0.35x
Amount spent on education = R 220,000Amount left = R 312,000Total = rent + food + education + amount left
x = 0.30x + 0.35x + 220,000 + 312,000
x = 0.65x + 532,000
x - 0.65x = 532,000
0.35x = 532,000
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Answer:
pointss
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
Well, r should be 270° cause angles at a point sum up to 360°, and there's already 90°, so 360-90 =270
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Answer:
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Step-by-step explanation:
The area of a trapezoid is given by the formula ...
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The height is found by solving this equation for h:
2A/(b1 +b2) = h
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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: y = 2x - 3[/tex]
plug the value of x = -5 :
[tex]\qquad \sf \dashrightarrow \: y = 2( - 5) - 3 [/tex]
[tex]\qquad \sf \dashrightarrow \: y = - 10 - 3[/tex]
[tex]\qquad \sf \dashrightarrow \: y = - 13[/tex]
A woman had two boxes of matches.she uses five matches and has 75 matches left.how many matches were in each box?using algebra
Answers
Answer:
40 matches
Step-by-step explanation:
Let x represent the amount of matches she has in total then...
x-5=75
Add 5 to both sides
x=80
She has 80 matches in total. Now, assuming each box of matches has the SAME amount of matches then she has...
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O1
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0-7+ (19 + 5) = (-7 + 19) + 5
11 + (6 + 8) = 11 + (28 + 6)
+
PLEASE I NEED HELP
Answers
Answer:
0-7+ (19 + 5) = (-7 + 19) + 5
Step-by-step explanation
The associative property of addition states that how number of groups won't change the answer.
EX: 2 + (2 + 3) = (2 + 2) +3
In this example, both answers are equal to 7.
In the given problem, '0-7+ (19 + 5) = (-7 + 19) + 5' is the best choice because the order of the parenthesis is being changed, yet the answer is still the same.
I hope that this answers your question!
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Answers
Answer:
the answer to this question is 1
Answer:
x = 9/4 (2.25)
Step-by-step explanation:
[tex]\frac{3}{x} =\frac{8}{6}[/tex]
[tex]x=\frac{(6)(3)}{8} =18/8=9/4[/tex]
Hope this helps
what is the quotient of 4/5 divide by 1/3
Answers
Answer:
12/5
Step-by-step explanation:
4/5 divided by 1/3
=4/5*3/1
=4/5*3
=12/5
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D
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Answers
Answer:
D
Step-by-step explanation:
The slope is 2 and the y-intercept is -3
oncepts
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Answers
Answer:
hope it helps
Step-by-step explanation:
answer is 3.47
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Which geometric shape could be used to model the building? a tall building that has a quadrilateral base and quadrilateral sides Cylinder Pyramid Cone Rectangular prism.
Answers
The geometric shape that could be used to model the building is a Rectangular prism.
Rectangular prismA rectangular prism has 6 faces, 12 edges, and 8 vertices
The top and base of the rectangular prism are always a rectangle Like a cuboid.
All the opposite faces of a rectangular prism are equivalent.
A rectangular prism depicts a rectangular cross-section.
A tower is essential to a long rectangular prism. The tower in the picture bears NO resemblance to a circle, so A and C can be ruled out. The tower also doesn't slope towards a point, so B is also wrong. We are left with D as our answer.
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Answer:
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Step-by-step explanation:
Because if you look at the building, and then you look at a cylinder, you can see that it has the shape of a cylinder.
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Answer:
Step-by-step explanation:
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Clare bought a photo for 17 cents and paid with a $5 bill. Look at the previous question. Which way of writing the numbers could Clare use to find the change she should receive? Be prepared to explain how you know.
Find the amount of change that Clare should receive. Show your reasoning, and be prepared to explain how you calculate the difference of 0.17 and 5.