Answers
Answer:
[tex]\large\boxed{41.14 inches^2(2 d.p)}[/tex]
[tex]\large\boxed{41.1inches^2 (1 d.p)}[/tex]
Step-by-step explanation:
Important Information:
Area of a circle= [tex]\pi r^2[/tex]
Area of a triangle= [tex]\frac{base*height}{2}[/tex]
Diameter of a cirlce= [tex]2*radius[/tex]
Method:
The first step is to divide the shape into smaller shapes. In this case, we have a right -angled triangle and a semi-circle.
The next step is to work out the area of the triangle. Since we know the radius of the semi-circle is 3 inches, to work out the diameter we would simply multiply the radius of 3 by 2, this gives us 6 inches. This is because the radius is half of the diameter.
Now that we know the diameter of the semi-cirlce, we can begin to work out the area of the triangle. We can do this by first multiplying the base of 6 inches by the height of 9 inches, this gives us 54 inches squared. This however gives us the area of 2 of those triangles. To work out the area of that triangle, we would need to divide the value of 54 by 2, this gives us 27 inches squared.
The next step is to work out the area of the semi-circle. We can do this by multiplying pi by the radius of 3, squared, this gives us 28.27 inches squared (2 d.p). However, this is for a full circle and we need to work out the area of the semi-circle. We can do this by dividing the area of the circle, which is 28.27, by 2, this gives us 14.14 inches squared (2 d.p). This is because a semi-cirlce is half of a circle.
The final step is to add the Areas of the two shapes together. You can do this by adding the area of the triangle, which is 27 inches squared, to the area of the semi circle, which is 14.14 inches squared (2 d.p), this gives us 41.14 inches squared (2 d.p).
Step by Step:
1) Multiply 3 by 2.
[tex]3*2=6[/tex]
2) Multiply 6 by 9.
[tex]6*9=54 inches^2[/tex]
3) Divide 54 by 2.
[tex]54/2=27inches^2[/tex]
4) Multiply pi by 3 squared.
[tex]\pi*3^2=28.27 inches^2 (2 d.p)[/tex]
5) Divide 28.27 by 2.
[tex]28.27/2=14.14inches^2 (2 d.p)[/tex]
6) Add 27 to 14.14.
[tex]27+14.14=41.14inches^2 (2 d.p)[/tex]
Related Questions
help please !!! x/4 = 9/x
Answers
Step-by-step explanation:
x/4=9/x
x.x=4.9
x^2=36
√x=√6
x=6
a person runs around a square field of side 70m, while another person runs around a rectangular field with length 90m and breadth 60m. Who covers more distance by how much?
Answers
[tex]\huge\underbrace\red{Answer}[/tex]
Given :- Side of the square field = 70mLength of the rectangular field = 90mBreadth of the rectangular field = 60mTo Find :- Perimeter of the square fieldPerimeter of the rectangular fieldSolution :-Perimeter of the square = 4 × side
By substituting values,
⇒ 4 × 70m
➥ 280m
Hence, A Person runs 280m around a Square fieldPerimeter of the rectangle = 2( length + Breadth)
By substituting values,
⇒ 2( 90m + 60m )
⇒ 2( 150m)
➥ 300m
Hence, A Person runs 300m around a rectangular fieldDifference between perimeters of fields = Perimeter of Rectangular field - perimeter of square field
By substituting values,
⇒ 300m - 280m
➠ 20m
Hence, The person runs more around a rectangular field by 20mApproximately 45 of U.S. homeowners have a cell phone. What percent of homeowners do not have a cell phone?
A 45%
B 20%
C 80%
D 55%
Answers
Answer:
if it's out of 100 it would be 55
Step-by-step explanation:
Answer:
D 55%
Step-by-step explanation:
I am assuming that the "45" is 45$ so then we do 100%-45$=55% But, if the "45" is 1 in 45, then the answer is 1-1/45=44/45 which rounds to 98%. That isn't any of the answers, so should be 55%
2). Parents and doctors wish to compare a child's he
children's heights of the same age. The height is the variable. Yes or NO
Answers
Answer:
Yes
Step-by-step explanation:
Yes it is the variable
What is the slope of the line which passes through (1, 4) and (0, 1)?
Answers
Find the perimeter of the following square.
A. 1 inch
B. 2 inches
C. 3 inches
D. 4 inches
Answers
Answer:
D
Step-by-step explanation:
the perimeter of a shape is the sum of it's sides
in a square all sides have the same length
here all sides are 1 inch
so 1+1+1+1 = 4 inches which is D
student missed 88 questions on a test and scored a 2%, how many questins are on the test if all were of equal value
Answers
Answer:
There were 90 questions in the test.
Step-by-step explanation:
He missed 88 questions on the test and scored a 2%. This means that the 88 questions missed correspond to 100% - 2% = 98% of the total number of questions, which is x. So
[tex]0.98x = 88[/tex]
[tex]x = \frac{88}{0.98}[/tex]
[tex]x = 89.8[/tex]
Rounding up
There were 90 questions in the test.
At the kennel, there are 6 dogs for every 5 cats. The ratio of cats to dogs is ______ to ______. Enter your answer in this format: "1,2" brainliest if answer
Answers
Answer:
1.0 ez clap
Step-by-step explanation:
Or 5:6
If you’re looking for a much simpler answer or scale factor it is 1.2
Change each of the following decimals to a fraction. Reduce your answer to its lowest terms.
0.07
0.3
0.168
0.0012
0.14
Answers
3/10
21/125
3/ 2500
7/50
I simplified them for you
5 is what percent of 8 I need ASAP
Answers
Answer:
62.5%
Step-by-step explanation:
Answer:
Fraction Percent
4/8 50%
5/8 62.5%
6/8 75%
7/8 87.5%
Step-by-step explanation:
I think this is right
Can someone teach me how to do a step by step explanation answer on brainly please
Answers
Answer:
Its very easy, tap on the question ? button for help OwO
Step-by-step explanation:
which is bigger 7.5 or 7/10
Answers
Answer:
7.5
Step-by-step explanation:
7.5 > .7
Answer:
7.5
Step-by-step explanation:
7/10 is equal to 0.7 which is smaller than 7.5 so 7.5 is bigger
One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
triangle is 52 feet. Find the length of each side.
Answers
Answer:
Side 1=21 ft, Side 2=7, Side 3=24
Step-by-step explanation:
52 = (3x) + (x) + (x+17) -> 52 = 5x + 17 -> 5x = 35 -> x = 7
Plus 7 into the equation whenever you see an x.
Use the drop-down menus to complete the sentence:
The terminal ray of a 300° angle lies in the ______ quadrant.
This angle measures (________) Pi radians.
Answers
Answer:
fourth
5/3
Step-by-step explanation:
edge2021
Answer:
Fourth
5/3
Step-by-step explanation:
A production company spent 45
1
2 days filming its first movie. The company's second movie was filmed in 7
3
4 weeks. Find the ratio of the first movie's filming time to the second movie's filming time. Compare in weeks.
Answers
Answer:
26 /33
Step-by-step explanation:
Given that :
Number of days taken filming first movie = 45 1/2
Number of weeks spent filming second movie = 8 1/4
Concerning days to weeks ;
45 1/2 days = 91/2 days = 91/2 ÷ 7 ;
91 / 2* 1/7 = 91/14 = 6. 5 weeks
Hence,
Ratio of first week fuming to second week filming ;
6.5 weeks : 8 1/4 weeks
6 1/2 : 8 1/4
13 / 2 : 33 /4
13 / 2 * 4 /33
52 / 66
26 / 33
Add One-seventh + 1One-fifth.
pls hurry
Answers
Answer:
0.14084507042
Step-by-step explanation:
lmk if u want the 1/4 or 5/5 like taht pig
Answer:
12/35
Step-by-step explanation:
1/7 + 1/5
Find a common denominator:
35
Multiply the top and bottom to get that denominator:
1/7 * 5/5 = 5/35
1/5 * 7/7 = 7/35
Add the numerators:
7+5=12
12/35
Solve using the order of operations.
[tex]5 \div (4 - 3) {3 -}^{2} - 2[/tex]
Answers
Answer:
BODMAS (Bracket Of Division Multiplication and Addition)
Step-by-step explanation:
[tex]5÷(4−3)3−2−2[/tex]
[tex]5 \div (4 - 3)3 - 2 - 2 \\ bracket \: fjrst \\ 5 \div (1)3 - 2 - 2 \\ \:second \: bracket \\ 5 \div 3 - 2 - 2 \\ division \: next \\ 5 \div 3[/tex]
bro I just stopped half way, cause my calculator says Syntax error. Maybe re check the question
Answer this question
(Factors of 36)
1,36
_,_
_,_
4,9
_,_
*please answer asap!*
Answers
Answer:
1,36 2,18 3,12 4,9 and 6,6
Step-by-step explanation:
If you multiply them, they equal 36
simple math! i'll
mark you if you get it right
Answers
Answer:
175
Step-by-step explanation:
Brainly plsss
Please help me and I'll give you a Brainly star
Answers
Answer:
Step-by-step explanation:
The answer is (C)
<AEB is congruent to <BEC
Simplify QP
R ( 0 , a )
S ( b , c )
Q ( 0 , -a )
P ( b , -c )
Answers
Answer:
b² + ( -c + a ) ²
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct!
Answers
Answer:
304
Step-by-step explanation:
The area of the square is 12 x 8 = 96.
There are two triangles with area (11x8)/2=44. 44x2=88.
There are two triangles with area (10x12)/2=60. 60x2=120.
96+88+120=304
Hope I helped!
please help look at picture
Answers
Answer:
15 cm
Step-by-step explanation:
Answer:
its C 30cm
Step-by-step explanation:
I multiplied 6x5=30
Henry ran 1 5/8 miles in the morning and 9/10 miles in the afternoon how many miles did he run in all
Answers
Answer:
101/40 miles or 2 21/40
Step-by-step explanation:
You add the two values together.
Answer:
2 21/40
Step-by-step explanation:
Lin runs 5 laps around a track in 8 minutes.
a. How many minutes does it take to run 1 lap?
How many laps did Lin run in 1 minute?
Please hurry up(btw you will get the brainliest)♂️
Answers
Answer:
To run one lap Lin takes 1.6 minutes.
Step-by-step explanation:
To find this answer you would do 8 divided by 5. Always remember when dividing time goes first unless the instructions / directions / your teacher says differently. So, when you do 8 divided by 5 the answer you get is 1.6, and there is your answer. Also to check your answer you can do 1.6 times 5, and you get 8, so you know that 1.6 is the correct answer.
Solve the triangle given that a=19 b=16, c=11.
Answers
Answer:
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Step-by-step explanation:
From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.
If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:
Angle A
[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)
[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]
[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]
[tex]A \approx 87.395^{\circ}[/tex]
Angle B
[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)
[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]
[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]
[tex]B\approx 57.271^{\circ}[/tex]
Angle C
[tex]C = 180^{\circ}-A-B[/tex]
[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]
[tex]C = 35.334^{\circ}[/tex]
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
In the same circle or in congruent circles:
13
Chapter Reference
In the plane, if a line is perpendicular to a circle's radius at its outer endpoint, then the
line is ... to that circle
You have 1 attempt left to earn the full credit for this problem.
Answer: In the plane, if a line is perpendicular to a radius at its outer endpoint, then the line is Diames
to the circle
Diameter
GRADE ANSWER INCORRECT
Parallel
Secant
Symmetric matting?
Tangent
Answers
Answer:
tangent
Step-by-step explanation:
Hope this helps
You answer,I give brainleist
Answers
Answer:
48 centimeters by 27 centimeters
Step-by-step explanation:
we need the ratio of 16:9
option a) 48:27 ( divide by 3 each side) --> 16:9
Graph the image of the figure after a dilation with a scale factor of 2 centered at (-7, - 2).
Use the Polygon tool to graph the quadrilateral by connecting all its vertices.
Answers
Answer:
Sorry this is late!
Step-by-step explanation:
Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties. What would be another major cost of her investment?
A.
bank fees
B.
investment broker fees
C.
renovation and maintenance costs
D.
utilities
Answers
Answer:
The correct answer is C. Renovation and Maintencance costs
Step-by-step explanation:
#Plato :)
The major cost of her investment would be C. Renovation and Maintencance costs.
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
The amount of additional tax paid for each new dollar of income received is known as; the marginal tax rate.
The Total taxes paid is divided by total income earned is the average tax rate. With a marginal tax rate of 10 percent, then the tax would be deducted from the following dollar of income at a rate of 10%.
Given that Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties.
The major cost of her investment would be C. Renovation and Maintencance costs.
Learn more about tax here:
brainly.com/question/10798743
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