HELP 10pts!!!
This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this
composite figure? Use 3.14 for it. Show all calculations that lead to the answer and include units. Please provide steps to prove your answer.
Answer:
148.12m²
Step-by-step explanation:
At first, lets find the area of rectangle.
length = 14m
breadth = 6m
Area of rectangle = length x breadth
= 14 x 6
= 84m²
Now, For the area of sector of the circle,
Given angle (a) = 34
radius = 14m
Area of the sector = a / 360 x pi x r²
= 34/360 x 3.14 x 14²
= 34 / 360 x 3.14 x 196
= 58.12m²
Now adding both areas,
84 + 58.12 = 142.12m²
Segment of a circle is the part of the circle. The total area of the composite figure is 142.1544 m².
What is the area of the segment of a circle?The area of the segment of the circle is given by the formula,
[tex]\rm \text{Area of the rectangle} = \pi r^2 \times \dfrac{\theta}{360}[/tex]
As it is given that the composite figure is made up of a circular segment and a rectangle, therefore, we will find the area of the rectangle and the area of the circular segment individually.
Area of the rectangle
The area of the rectangle is the product of its length and breadth, therefore, the area is,
[tex]\rm \text{Area of the rectangle} = Length \times breadth[/tex]
[tex]= 14 \times 6\\\\=84\rm\ m^2[/tex]
Area of the sector of the circle
[tex]\rm \text{Area of the rectangle} = \pi r^2 \times \dfrac{\theta}{360}[/tex]
[tex]= \pi \times 14^2 \times \dfrac{34}{360}\\\\=58.1544\rm\ m^2[/tex]
The total area of the composite figure
The total area of the composite figure
= Area of rectangle + Area of the segment of the circle
= 84 + 58.1544 m²
= 142.1544 m²
Hence, the total area of the composite figure is 142.1544 m².
Learn more about Segment of Circle:
https://brainly.com/question/1697991
11x - 2x + 15 = 8 + 7 + 9x
Help please
Answer:
15 it's in the equation
Step-by-step explanation:
11x-2x=9x 9x-9x=0
7+8=15
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Answer:
Let's solve your equation step-by-step.
11x − 2x + 15 = 8 + 7 + 9x
Step 1:
Simplify both sides of the equation.
11x − 2x + 15 = 8 + 7 + 9x
11x + −2x + 15 = 8 + 7 + 9x
( 11x + −2x ) + ( 15 ) = ( 9x ) + ( 8 + 7 )
( Combine Like Terms )
9x + 15 = 9x + 15
9x + 15 = 9x + 15
Step 2:
Subtract 9x from both sides.
9x + 15 − 9x = 9x + 15 − 9x
15 = 15
Step 3:
Subtract 15 from both sides.
15 − 15 = 15 − 15
0 = 0
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Based on her recipe, Elena knows that 8 servings of
granola have 1,600 calories.
1. If she eats 6 servings of granola, how many calories
does she eat?
2. If she wants to eat 300 calories of granola, how many
servings should she eat?
3. Write an equation to represent the relationship
between the number of calories and the number of
servings of granola.
Answer:
1. 1200
2. 1.5 servings
3. 1 serving= 200 calories.
Step-by-step explanation: 1600 divided by 8 is 200.
guys please help i have 5 mins left please 50 points
Answer:
domain: (4, 1, 0, -1, 1)
range: (2, 3, 0, -1, -3)
Step-by-step explanation:
domain: x-values
range: y-values
Answer:
Domain: {-1, 0, 1, 4} Range: {-3, -1, 0, 2, 3}
Step-by-step explanation:
Hi there,
To find the domain, list all of the x values and put them in numerical order. Don't repeat the same numbers.
Do the same thing for the y values when finding the range.
Hope this helps. Cheers.
steps for gcf of 40x, 60x
Answer:
20x
Step-by-step explanation:
1) Identify commonalities in the numbers at hand (x + 40 divisible by 1, 2, 4, 5, 8, 10, 20, 40 and 60 divisible by 1,2,3,4,5,6,10,12,15,20,30,60) overlap is x and 1,2,4,5,10,20) 20 is the highest factor and x is the only factor.
2) put them together GCF: 20x
Use the table below to determine the approximate height of the flag pole.
Answer:
B 17.5 ft
Step-by-step explanation:
tangent = opposite / adjacent
tan 35° = h / 25
multiply both sides by 25
h = 25 (tan 35°)
tan 35° = 0.70 (from your calculator)
h = 25 (0.70)
h = 17.51 ft.
PLEASE HELP I WILL GIVE BRAINLESIST
Help with math hw please
Answer:
Please make sure your questions are as detailed and as specific as possible so we at Brainly can give you the best answers. Please review our policy.
Step-by-step explanation:
Working together, Beth and Katy can wash a car in 6 minutes. Had she done it by herself, it would have taken Katy 18 minutes. How long would it take Beth to wash the car herself?
Answer:
It would take Beth twelve minutes to wash the car herself
Step-by-step explanation:
If they do it together in 6 minutes.
& Katy can do it in 18 minutes alone
Then 18 - x = 6
replace x for twelve
18 - twelve = 6
Ans: twelve
2. Jada saw a music video that her favorite artist recently posted online. The equation
v(t)=450x3^t represents the number of views, v, of the video, t days since Jada saw the video
a. Find v(-2)
Answer:
b. What does v(-2) represent in this situation?
Answer:
Answer:
A. V=-640
Y=0
B. V represents the views 2 days before Jada saw the video.
Step-by-step explanation:
AA, SSS, SAS, or not similar??
Answer:
C
Step-by-step explanation:
This is showing Side Angle Side congruency because first of all where the triangles connect shows vertical angles meaning that they are congruent
Second of all the triangle are similar because or proportions
[tex]\frac{9}{6} =1..5\\\frac{6}{4} =1.5[/tex]
they are both showing proportions of 1.5 therefore the sides are similar
Does 514, 684, 855 make a right triangle
Answer:
No, it does not.
Step-by-step explanation:
This does not make a right triangle because in order to have a right triangle you must have 2 of the same numbers.
For example:
900, 800, 900 makes a right triangle
900, 800, 700 does not.
Hope this helped :D
The school principal wants to know whether the students in the entire school prefer football or basketball. The principal draws a random sample from the following groups: . All school teachers . All girls in each grade • All students in each grade • All students on the basketball team Which of the following groups best represents the population she should take a random sample from to get the best results for her survey? (1 point) 1) All school teachers 2) All girls in each grade 3) All students in each grade 4) All students on the basketball team
Answer:
3
Step-by-step explanation:
because 3 includes everyone so it's not biased
The area of a rectangular park is 3500sq.m.If its width is 50m,then find the
cost of its fencing at the rate of Rs.100per meter
Lanie was practicing her free throws. She shot nine times and made five baskets. At this ratio, how many times will she need tp shoot to make 35 baskets?
Answer:
65 throws
Step-by-step explanation:
5/9 = 35/x
5x = 315
x = 63
I will absolutely RAIL you if you give me the answer
Sorry but can't understand
It says that you have to fill in all angle measures that are numbered / will give brainlist
Answer:
<1 = 107
<2 = 73
Step-by-step explanation:
<1 = 107 because of the corresponding angles thm
<2 + 107 = 180
<2 = 73
Find the length of the missing side. Leave your answer in simplest radical form.
Silvio earns 23% for each car sale he makes while working at a used car dealership. If he sells a used car for $25,000, what is his commission?
Which of the following tables accurately represents the data shown in the bar graph?
Candy Number of People
Chocolate 10
Hard Candy 12
Chewy Candy 8
Candy Number of People
Chocolate 10
Hard Candy 12.5
Chewy Candy 8.5
Candy Number of People
Chocolate 10
Hard Candy 13
Chewy Candy 9
Candy Number of People
Chocolate 10
Hard Candy 14
Chewy Candy 10
NEXT
C
You just gotta read the graph. Chocalate is 10, Hard Candy is 13 and Chewy is 9
Answer:
it is actually b beacuse hard candy on the graph is 12.5 not 13!
Step-by-step explanation:
I dont want you guys to get it wrong so it is:BWhat is √15 divided by √12 simplified?
☁️ Answer ☁️
annyeonghaseyo!
I Got:
√5/2
Here's the Decimal Form:
1.11803398
Hope it helps.
Have a nice day noona/hyung!~ ￣▽￣❤️
Today, where does our culture stand on issues of racism and discrimination? What civil rights issues are we currently dealing with? What should be the responsibilities of both whites and blacks? Explain.
Answer:
Step-by-step explanation:
What is the y-intercept
of this line? PLEASE HELP I WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORRECTLY FIRST
Answer:
4
Step-by-step explanation:
Help me with this I don’t understand.
What is 1,000,000 x 1,000,000
Will give brainliest.
Answer: 1e+12
Step-by-step explanation:
Answer:
[tex]1000000 \times 1000000 \\ = 1000000000000[/tex]
It's 1 Million *1 Million
=1 Trillion (According to USA)
The material point moves in a straight line according to the law s (t) = t ^ 2 + 10t - 5, the stage of the point's velocity at the moment t = 2.
Find the speed of the point at the moment
t = 2
i translated this problem from different language, hopefully everything was translated right, please help, thank you
Answer:
I think the answer is 19
Step-by-step explanation:
DUDE ACTUALLY HELP PLEASE GIVING BRAINLIEST
Answer:
154°
Step-by-step explanation:
They are alternate angles.
Answer:
154 degrees
Step-by-step explanation:
I'm going to use simple terms, you see there are two types of angles? One acute and the other obtuse. All the angles that are obtuse are the same and vis versa for acute angles too. It's just a rule for two parallel lines that are intersected by a perpendicular one.
a box of cereal states that there are 90 calories in a 3/4-cup serving. How many calories are there in 4 cups of the cereal.
Answer:
480 calories
Step-by-step explanation:
4 ÷ 3/4= 5 1/3 servings
90 x 5 1/3= 480
Somebody help me quickly please:)
A data set that consists of many values can be summarized using the five-number summary. Arrange these five values in order from least to greatest. median maximum minimum Q1 Q3
Answer:
minimum, Q1, median, Q3, maximum.
Step-by-step explanation:
i did the test
Answer:
minimum, Q1, median, Q3, maximum.