1. Find the area of the composite figure to the nearest hundredth.
55 mm
32.5 mm
12.5 mm
12.5 mm
total area =
mm?
Answers
Answer:
[tex]745.45 mm^{2}[/tex]
Step-by-step explanation:
(semicircle) A1 = 245.45 mm
(rectangle) A2 = 312.5 mm
(triangle) A3 = 187.5 mm
Formula for semicircle = [tex]A = \frac{1}{2} \pi r^{2}[/tex]
[tex]\frac{1}{2}\pi 12.5^{2} = 78.13\pi = 245.45 mm[/tex]
Formula for rectangle = [tex]A = lw[/tex]
[tex]25 x 12.5 = 312.5 mm[/tex]
Formula for triangle = [tex]A = \frac{1}{2} bh[/tex]
[tex]\frac{1}{2} 30(12.5) = 187.50mm[/tex]
Now we add them all up to get our answer
[tex]245.45 + 312.5 + 187.5 =745.45mm^{2}[/tex]
The area of the composite figure is 741.31 mm².
What is area?The area of any object is given by the space covered by it.
Given is a composite figure having shapes, a semicircle, a triangle and rectangle,
We need to find the area of the composite figure,
So, to find the same we will find the areas of the figure and then add them,
So,
Area of a semicircle = π × radius² / 2
= 3.14 × 12.5² / 2
= 245.31 mm²
Area of a triangle = 1/2 × base × height
= 1/2 × 12.5 × 30
= 187.5 mm²
Area of a rectangle = length × width
= 12.5 × 25
= 312.5 mm²
Now, the whole area = 245.31 + 187.5 + 312.5 = 741.31 mm²
Hence the area of the composite figure is 741.31 mm².
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Related Questions
What is the value of x in this equation? 4x + 6 = -62
Answers
Answer:
- 14
Step-by-step explanation:
4x + 6 = - 62
4x = - 62 + 6
4x = - 56
x = - 56 / 4
x = - 14
The value of x in this equation will be; x = -14
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We are given that the equation 4x + 6 = - 62
Here, we need to solve for x
4x + 6 = - 62
4x = - 62 + 6
4x = - 56
x = - 56 / 4
x = - 14
Therefore, the solution will be as;
x = -14,
The value of x in this equation will be; x = 14
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What are the x- and y-intercepts of f(x)=x^2-49?
Answers
(7,0),(−7,0)(7,0),(-7,0)
y-intercept(s):
(0,−49)
What is the slope of a line perpendicular to the line whose equation is 6x+4y=72 Fully simplify your answer.
Answers
Answer:
m = 2/3
Step-by-step explanation:
4y = -6x + 72
y = -3/2x + 18
Negative reciprocal = 2/3
Two positive numbers have a difference of 8. The larger number is two more than twice the smaller. Find the two numbers
Answers
Let the bigger number be 'p' and the smaller number 'p'.
Since the numbers have a difference of 8, then p - q = 8
& since the larger number is two more than twice the smaller, then
p = 2q + 2
⇒ (2q + 2) - q = 8 [by substituting for equation for p]
q = 6
Since q = 6,
⇒ p - 6 = 8
p = 14
∴ the smaller number is 6 and the bigger 14
It is given that
A = {1, 2, 3, 4, 7} and B = {2, 4, 8, 10).
(i) List all the elements in A∩B in set notation.
(ii) Draw a Venn diagram to represent the sets A and B.
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Given :
A = {1, 2, 3, 4, 7}
B = {2, 4, 8, 10)
A∩B = {2 , 4 }
See the venn diagram in attachment ~
Which equation represents a line parallel to the line x-4y=-2
a: y=-4x - 2
b: y=-1/4 + 5
c: y= 1/4x - 3
d: y=4x - 8
Answers
Answer:
c
Step-by-step explanation:
the slope of x-4y=-2 is 1/4
find the y intercept
y = 3/4x - 4
Answers
To find the y-intercept, set x = 0:
y = -3/4(0) - 4
y = 0 - 4
y = -4.
Therefore, the y-intercept is (0, -4), or -4.
Mr jones paid for a table using hire purchase plan if he made a deposit of $2000 and a monthly payment of $750 for 9 months , what did the table cost him
Answers
Answer:
138 I think
Step-by-step explanation:
2,000 - 750 ÷ 9 = 138
Can someone help me do this
Answers
Answer:
x = 6
Step-by-step explanation:
because of the exterior angle theorem, instead of looking for the inner angle's amount, I can directly look for the other angle's amount.
so:
6x + 8 + 5x + 8 = 82
11x + 16 = 82
11x = 66
x = 6
Abbie is twice as old as susan susan is 5 year old than Marc how old is Marc?
9
7
5
2
Answers
Answer:
9
Step-by-step explanation:
Answer:
A.) 9
Step-by-step explanation:
Graph the line that goes through the points (2,0) and (2,5).
The line is what
.
The line has what
slope.
Answers
Answer:
0
Step-by-step explanation:
5 - 0 = 5
2 - 2 = 0
5/0 = 0
Answer:
Step-by-step explanation:
Which set of ratios is equivalent to 4:4
A. 8 to 10, 10/15 B, 8 to 10, 16/20
C. 15/20, 20:25 D. 40/50, 24;36
Answers
Answer:
B
Step-by-step explanation:
both simplify into 4:5
could someone please help answer this, thank you, please no spam, will give brainliest, (homework help)!
Answers
Answer:
The answer would be W < - 18
4. Susannah is drawing a card from a standard 52-card deck. A standard deck of cards
contains four suits -- diamond, club, spade & heart. Each suit has 13 cards. Face cards (12)
are Jack, Queen, and King cards.
a. What is the probability that the card she draws is a diamond?
b. What is the probability that the card she draws is a face card?
c. What is the probability that the card she draws is a face card and a diamond?
d. What is the probability that the card she draws is a face card or a diamond?
Answers
Answer:
1/4(25%), 3/13(23%), 3/52(6%), 11/26(42%)
Step-by-step explanation:
a. 4 suits, therefore the probability is 1/4
b. there are 12 face cards. therefore the probability is 12/52 which simplifies to 3/13
c. there are only 3 cards that are diamonds and face cards. Therefore, it is 3/52
d. there are 12 face cards and 13 cards of each suit. But there are 3 that overlap. therefore, there are 22 in total, so 22/52. it simplifies to 11/26.
A bicycle has a speed of 6 m/s. What is its speed in km/h?
(1 km=1000 m)
(1 h = 3600 s)
Answers
answer:
m/s --- km/h = [tex]\frac{1000}{3600}[/tex]
km/h= [tex]\frac{5}{18}[/tex]
6m/s= [tex]\frac{6*5}{18}[/tex]
6m/s= 1.66 km/h
The speed of the bicycle in km/h is 21.6 km/h.
Given that;
A bicycle has a speed of 6 m/s.
Since we know that;
1 km = 1000 m
And, 1 hour = 3600 s
Hence change the speed of the bicycle in km/h as;
[tex]Speed = 6 m/s[/tex]
It can be equal to;
[tex]Speed = \dfrac{6 \times \dfrac{1}{1000} km }{\dfrac{1}{3600} seconds }[/tex]
[tex]Speed = 21.6 km/s[/tex]
Therefore, the speed of the bicycle in km/h is 21.6 km/h.
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6 adults & 4 senior citizens have to pay $228 while 13 adults and 7 senior citizens have to pay $459 to visit an exhibition at the Art science Museum . Find the total amount 2 adults & Senior citizen have to pay to visit the exhibition.
Answers
Answer: Rs. 69
Step-by-step explanation:
Let the amount that the adults have to pay be Rs. “x” and the amount that the senior citizens have to pay be Rs. “y”.
Step 1:
According to the question, we get
Equation 1:
6x + 4y = 228
Equation 2:
13x + 7y = 459
Step 2:
Then, by multiplying equation 1 by 7 & equation 2 by 4, we get
7 * [6x + 4y = 228]
⇒ 42x + 28y = 1596 …. (iii)
And,
4 * [13x + 7y = 459]
⇒ 52x + 28y = 1836 …. (iv)
Step 3:
Now, Subtracting eq. (iii) from eq. (iv), we get
52x + 28y = 1836
42x + 28y = 1596
(-) (-) (-)
---------------------------
10 x = 240
----------------------------
⇒ x = 240/10 = 24
Substituting the value of x in Eq. (1)
(6*24) + 4y = 228
⇒ y = [228 - 144]/4 = 21
Step 4:
Thus,
The total amount that 2 adults and a senior citizen have to pay to visit the exhibition is,
= 2x + y
= (2*24) + 21 ….. [substituting x= 24 & y = 21]
= Rs. 69
Step-by-step explanation:
Hope this helps
can i get braineist
Which is the better buy?
A 450 g box of cereal for $4.69 or a 600 g box of cereal for $6.49?
Please show ALL of your work.
hint: convert each to a unit rate using "cost / gram", then compare each to see which is cheaper.
Answers
Answer:
450g box of cereal for $4.69 is cheaper
Step-by-step explanation:
450/4.69 = 95.9488272921/1
600/6.49 = 92.4499229584/1
Can you help me please
109% of 11
Answers
Answer:
11.99
Step-by-step explanation:
-50= 6a+28 please help
Answers
Subtract 28 from both sides.
-50 -28 = 6a + 28 - 28
-78 = 6a
Divide both sides by 6.
-78/6 = 6*a/6
-78/6 = a
-13 = a
Answer:
a=-13
Step-by-step explanation:
-50=6a+28
isolate the a
-50-6a=28
-6a=28+50
-6a=78
divide both sides by -6
a=-13
compounds are pure substances. What other substances are considered pure substances? A: chemical reactions B: elements C: mixtures D: solutions
Answers
Answer:
Step-by-step explanation:
B
The coldest day in ohio clocked in at 40 below zero. In one day though the temperature changed to 20 below zero How much temperature change was there that day
Answers
The monthly cost of a certain texting plan is given by the function C(n)= 0.06n +9.95, where C(n) is in dollars and n is the
number of texts sent in a month. Find and interpret C(90)
Monthly Cost of Texting Plan
Ac(n)
Answers
Answer:
C(90) = 15.35
Step-by-step explanation:
Given the function, C(n) = 0.06n + 9.95:
where C = total cost of texting plan
n = number of texts sent in a month
9.95 = flat fee
To find C(90):
Substitute 90 as the input, n, for the function:
C(90) = 0.06n + 9.95
C(90) = 0.06(90) + 9.95
C(90) = 5.40 + 9.95
C(90) = 15.35
C(90) represents the cost of sending 90 texts in a month is $15.35.
Please mark my answers as the Brainliest if you find my explanations and solutions helpful :)
Evaluate a2b2c2 for a = 2, b = 3, and c = 4.
Answers
multiply those and u get 192!!
Answer:
576
Step-by-step explanation:
Substitute the variables and solve.
[tex]a^2b^2c^2\\\\(2)^2(3)^2(4)^2\\\\(4)(9)(16)\\\\576[/tex]
please help me its for my math and im not good at math :(
Answers
Explanation: Trust me :)
HELP ASAP 100 POINTS!
Solve 2(1 – x) > 2x.
x < 2
x < 0.5
x > 0.5
x > 2
Answers
Answer:
x<0.5
Step-by-step explanation:
Hello lzukuXKachan!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Solve 2(1 – x) > 2x.
x < 2
x < 0.5
x > 0.5
x > 2
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]2 ( 1 - x ) \gt 2 x[/tex]
Firstly, cancel out 2 from both sides of the equation. Now, the equation will be....
[tex]1 - x > x[/tex]
Now, subtract x from both sides.
[tex]1 - x - x > 0[/tex]
Combine -x & -x. It'll be one -2x.
[tex]1-2x>0 [/tex]
Again subtract 1 from both the sides. Remember :- any number subtracted from 0 will result in its negation
So, it'll be -1.
[tex]-2x>-1 [/tex]
Divide both sides by -2.
[tex]x<\frac{-1}{-2} \\ [/tex]
Remove the negative signs. (negative ÷ negative = positive)
[tex]x<\frac{1}{2} \\ = \large\boxed{ \boxed{ \bf \: x < 0.5}}[/tex]
__________________
Hope it'll help you!
ℓucαzz ッ
OMGGG PLS HELP ME WITH THIS QUESTION PLS PLS PLS!!! WILL MARK BRAINEST AND PLS PLS PLS DO EXPLAIN!!!
Answers
Answer:
38
Step-by-step explanation:
-(5×-7-3)
-(-35-3)
-(-38)
38
answer the question with clear explanation !!
Answers
[tex]food = \frac{1}{3} \times 48000 = 16000 \\ rent = \frac{1}{5} \times 48000 = 9600 \\ clothes = \frac{1}{4} \times 48000 = 12000 \\ food + rent + clothes = x \\ 16000 + 9600 + 12000 = 37600 \\ ndagune \: income - what \: he \: spends = what \: he \: saves \\ 48000 - 37600 = 10400 \\ ndagune \: saves \: 10400[/tex]
100 POINTS AND BRAINLIEST!!
Answers
Answer:
A. $47,143
Step-by-step explanation:
Given information:
Current annual lifestyle cost ≈ $33,000Take home pay estimation = 70%Gross income: Total income before any deductions.
If take home pay is approximately 70% of the annual gross income, to be able to maintain the current lifestyle, 70% of the annual gross income needs to be at least $33,000.
Let x = annual gross income
Therefore:
70% of x = $33,000
⇒ 0.7x = 33000
⇒ x = 33000 ÷ 0.7
⇒ x = 47142.8571...
Therefore, the annual gross income needs to be $47,143 (nearest dollar) to maintain the current lifestyle.
Annual gross income be y
70% of y=330000.7y=330007y=330000y=330000/7y=47143Option A
what is 200x350+23-7
Answers
Answer:
70,016
Step-by-step explanation:
PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)
for this problem, we have to multiply first!
1) 200 x 350 = 70000
now we have ------> 70,000 + 23 - 7
we just have to work left to right
2) 70,023 - 7
3) 70,016
let me know if you have any other questions!
can someone with This thank you!!
Answers
Answer:
(a)
Coordinate A: (0,-3)
Coordinate B: (1,0)
Coordinate C: (5,2)
(b)
1, 5, 6, 7