Find the area of the composite figure.
A: 96.75 units2
B: 112.5 units2
C: 139.5 units2
D: 192
Answers
The area of the composite figure from the image attached is 112.5 units²
What is the area of a composite figure?The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.
From the given figure; we can break it down into:
A parallelogramA rectangleA triangleThe area of a parallelogram = b × h
where;
b & h refers to the length of the two opposite diagonal lines.The area of a parallelogram = 9 × 6
The area of a parallelogram = 54 units²
The area of a rectangle = Length × breadth
The area of a rectangle = (9 × 3) units²
The area of a rectangle = 27 units²
The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]
where;
Base = b Height = hThe area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]
The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times 9 \times 7}[/tex]
The area of the triangle [tex]\mathbf{= 31.5 units^2}[/tex]
Therefore, the area of the composite figure is:
= 54 + 27 + 31.5
= 112.5 units²
Learn more about composite figures here:
https://brainly.com/question/15981553
Related Questions
if 15% of a class of 20 students were boys, how many boys and girls?
Answers
Answer:
15 percent of 20 is 3. so there are 3 boys and 17 girls in the class.
Step-by-step explanation:
The volume, V, of a cylinder is equal to this area base, B, times it’s height h. The diameter of a cylinder is 18 feet and its height is 2.8 feet
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Answer:
what was the importance of the meetings of the second continental Congress quizlet answers
Factor the trinomial completely
3x^2-5x-2
Answers
Answer:
(x − 2)×(3x+1)
Step-by-step explanation:
We can use this method:
[tex]\begin{aligned}3 x^{2}-5 x-2 &=3 x^{2}-5 x-x+x-2 \\\\&=3 x^{2}-6 x+x-2 \\\\&=3 x \cdot(x-2)+(x-2) \\\\&=(x-2)(3 x+1)\end{aligned}[/tex]
All I did is Subtracting x then adding x which will not affect the result because -x + x = 0
3. Nine more than the quotient of a number and 4 is 12.
Answers
Answer: x = 12
Step-by-step explanation:
9 + (x/4) = 12
x/4 = 3
x = 12
Yo I need to bring up my grade bad so
-3-9=-3y
(please show it graphed already :D)
Answers
Answer:
[tex] - 3 - 9 = - 3y \\ - 12 = - 3y \\ y = ( - 12) \div ( - 3) \\ y = 4[/tex]
Expand & simplify
4
(
g
+
4
)
−
6
(
g
+
2
)
Answers
Answer:
i dont know I have the same questions aswell
Part 1: find measure of X
Part 2: find measures of PS and QR
Answers
Answer:
Step-by-step explanation:
The population of a city decreases by 3.9% per year. If this year's population is 200,000, what will next year's population be, to the nearest individual?
Answers
3.9 percent of 200,000 is 7,800
200,000-7,800=192,000
Find the 14" term
7, 14, 28, 56,
Answers
Step-by-step explanation:
it seems we are dealing with multiplication, as the distances between the numbers get bigger and bigger.
and then I see
7 × 2 = 14
14 × 2 = 28
28 × 2 = 56
ok, so the sequence is created by always multiplying by 2.
a1 = 7
a2 = a1 × 2 = 7 × 2 = 14
a3 = a2 × 2 = a1 × 2 × 2 = 7 × 2 × 2 = 28
an = an-1 × 2 = a1 × 2^(n-1) = 7 × 2^(n-1)
a14 = 7 × 2¹³ = 7 × 8192 = 57,344
Jim makes $12.50 per hour when he works. How much money does he make when he works one hour?
1) $25.00
2) 1
30 $12.50
Answers
Answer:
3) $12.50
Step-by-step explanation:
12.50(1) = 12.50
Hope this helps :)
28x+1=32x-1 solve for x
Answers
Answer:
x = 1/2
Step-by-step explanation:
28x + 1 = 32x - 1 <== subtract 28x from both sides
-28x -28x
1 = 4x - 1 <== add 1 to both sides
+ 1 + 1
2 = 4x <== divide both sides by 4 to isolate the variable
/4 /4
1/2 = x
Hope this helps!
[tex] \Large{\boxed{\sf x = \dfrac{1}{2} }} [/tex]
[tex] \\ [/tex]
Explanation:Given equation:
[tex] \sf 28x + 1 = 32x - 1 [/tex]
[tex] \\ [/tex]
Subtract 28x from each side :
[tex] \sf 28x + 1 - 28x = 32x - 1 - 28x \\ \\ \sf 1 = 4x - 1 [/tex]
[tex] \\ [/tex]
Add 1 to both sides:
[tex] \sf 1 + 1 = 4x \\ \\ \sf 2 = 4x [/tex]
[tex] \\ [/tex]
Divide both sides by 4:
[tex] \sf \dfrac{2}{4} = \dfrac{4x}{4} \\ \\ \\ \boxed{\boxed{\sf x = \dfrac{1}{2} }} [/tex]
[tex] \\ \\ [/tex]
▪️Learn more about equations here:
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solve for z: -42z^2 = 14z
Answers
[tex]\\ \rm\Rrightarrow -42z^2=14z[/tex]
[tex]\\ \rm\Rrightarrow 42z^2=-14z[/tex]
[tex]\\ \rm\Rrightarrow 3z^2=-z[/tex]
[tex]\\ \rm\Rrightarrow 3z=-1[/tex]
[tex]\\ \rm\Rrightarrow z=-1/3[/tex]
Another root is 0Answer:
[tex] - \frac{844}{29} z[/tex]
Step-by-step explanation:
I hope to help
the perimeter of an isosceles triangle is 45 inches. 2 sides of the triangle are congruent and the third side is twice as long as the sum of the congruent sides. what is the length of the third side of the triangle in inches
Answers
Answer:
did this bring a pic because i might need it to answer the question since its not answerable if theres no more details
Step-by-step explanation:
find the area of a circke with a radius of 9 mm. round to the nearest tenth. use 3.15 or 22/7 for Pi.
Answers
Answer:
254.3 mm^2
Step-by-step explanation:
Area of a circle: A = π*r^2
π (pi) = 3.14
r (radius) = 9 mm
Substitute 3.14 for pi and 9 for radius:
A = π*r^2
A = 3.14*9^2
A = 3.14*81
A = 254.34 mm^2
Round to the nearest tenth:
254.34 ==> 254.3
Therefore, our final answer is 254.3 mm^2
Hope this helps!
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Answers
Answer:
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
Kenya is trying to find matching
socks. There are 4 red socks, 6 blue
socks, and 2 white socks in her
drawer. What is the probability that
Kenya will pull out a blue sock, put it
on, and then pull out another blue
sock to put on?
I need help with thissss fasttt thank youuu!!
Answers
Answer:
6 x 40 - 3 x 60
Step-by-step explanation:
sorry i cant answer rn but if you put the equation above into a calculator it should tell you!
hope this helps<3
Answer:
50
Step-by-step explanation:
3 × 10 to the 6 is 3,000,000
6 × 10 to the 4 is 60,000
3,000,000 ÷ 60,000 is 50
A sphere has a radius 4 cm. What is its volume, to the nearest cubic cm? Write your answer to the nearest 10th place and use 3.14 for π???? HELPPPPP ASAP PLEASE!!!!!!!!!!!!!!!AND THANKS
Answers
Answer:
267.95
Step-by-step explanation:
Sphere Volume = 4/3 π r³
= 4/3 × 3.14 × 4³
= 803.84/3
= 267.94666...
= 267.95
What are the measures of Angles a, b, and c? Show your work and explain your answers.
IM NOT LOOKING FOR ANY JOKES OR STUFF, JUST STRAIGHT UP SHOW THE WORK AND THE ANSWER PLEASE. (30 PNTS IF ANSWERED CORRECTLY) NEED HELP ASAP!
Answers
Answer:
a= 30
b= 60 (pretty sure)
c=105
Step-by-step explanation:
a is a vertical angle to 30, so that means it is also equal to 30.
To find b, since it's on a straight line, you can add up the angles in the triangle and solve for b.
30+90=120
120+b=180
b=60
To find c, you subtract 75 from 180 since it's also a straight line equal to 180 degrees.
Use a trigonometric ratio to find the value of x. Round your answer to nearest tenth.
C. 15.5 cm
D. 10.9 cm
E. 12.7 cm
Answers
Answer:
the Answer is D I think I know
Answer:
e
Step-by-step explanation:
8.9×tan(55)=x
12.71051726
12.7
Umang gained 20% by selling a watch for rs 2400 then find the cost price. if he gain 30% at what price should have he sold it.
Answers
Answer: Rs. 3120
Step-by-step explanation:
So...
rs. 2400 is the cost as of when it was overpriced by 20%
10%=240
20%= (240+240)= 480
Rs. 2400-480= Rs. 1920 which is the original price before the 20% was added making the price 2400 INR
Now we need to find what 30% is to find out the price if 30% was added to the original cost
so...
If 10%=240
30%=(240+240+240)= Rs. 720
Rs. 2400+720= Rs. 3120
Rs. 3120 is the price the watch was sold at when 30% was added onto the original price and the owner gained 30%.
How many centimeters is 0.2 meters
Answers
Answer:
there are 20 centimeters in 0.2 meaters
Answer:
1 meter = 100 centimetres
0.2(meters) x 100(centimetres that make up 1 meter)
= 20 centimetres.
Help please
10(5-n)-1=29
Answers
Hey there!
10(5 - n) - 1 = 29
10(5) + 10(-n) - 1 = 29
50 - 10n - 1 = 29
49 - 10n = 29
-10n + 49 = 29
ADD 49 to BOTH SIDES
-10n + 49 - 49 = 29 - 49
WORK IT OUT or SIMPLIFY IT!
NEW EQUATION: -10n = -20
DIVIDE -10 to BOTH SIDES
-10n/-10 = -20/-10
WORK IT OUT or SIMPLIFY IT AS WELL!
n = 2
Therefore, your answer is: n = 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
n=2
Step-by-step explanation:
Step #1. Distribute the 10 to (5-n) which is 50-10n
Step #2. Simplify. 50-10n-1= -10n+50-1= -10n+49=29
Step #3. Subtract. -10n+49-49=29-49
Step #4. Simplify again. -10n = -20
Step #5. Divide. -10n/-10= -20/-10
Step #6. Simplify again. n=2
There you have it! N is equal to 2! please mark be as brainliest if you can.
Hope this helps!
What method would you choose to solve the equation 2x 2squared – 7 = 9? Explain why you chose this method.
Answers
Answer:
Step-by-step explanation:
(2x2squared-7)2squared=9 2squared
4x4squared-28x2squared+49=81
4x4squared-28x2squared=81-49
4x4squared-28x2squared=32
Elif Is making yogurt parfaits for her daughter Sila. She has 3 pounds of Greek yogurt to make 12 parfaits. If her recipe calls for 4 ounces of Greek yogurt, will she have enough?
Answers
Answer:
for because the 3+1 =4
Step-by-step explanation:
thank you
Please help! Will mark brainliest!!
Answers
Answer:
x=2+\sqrt{6}, :x=2-\sqrt{6}
Step-by-step explanation:
those are the 2 awnsers
Step-by-step explanation:
[tex](x - |2| ){}^{2} = 2 + {2}^{2} [/tex]
[tex]x - 2 = \sqrt{6} \\ x = + - \sqrt{6} + 2 \\ x = - \sqrt{6} + 2 \\ x = \sqrt{6} + 2[/tex]
On January 1, one share of stock in the LMNOP Corp was worth $85. By December, it lost 11.6% of its value. What is the new value of one share of LMNOP stock?
Answers
Answer:
multiple then dived the numbers together
Based on the previous worth of the stock and the value lost, the new value of the LMNOP stock is $75.14.
What is the new value of the LMNOP stock?The value of $85 lost approximately 11.6% of its value.
The new value can be found as:
= Previous stock price x ( 1 - percentage loss)
Solving gives:
= 85 x (1 - 11.6%
= 85 x 88.4%
= $75.14.
Find out more on stock pricing at https://brainly.com/question/25300299.
Find the distance between the points
Answers
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
[tex]x1 = 2 \: \: y1 = 1 \\ x2 = 8 \: \: \: y = 9 \\ \\ \\ distance \: between \: two \: poit \: \\ = \sqrt{(x2 - x1) {}^{2} + (y2 - y1}) {}^{2} \\ \sqrt{(8 - 2) {}^{2} + (9 - 1) {}^{2} } \\ \sqrt{(6) {}^{2} + (8) {}^{2} } \\ \ = \sqrt{36 + 64} \\ = \sqrt{100 } \\ = 10[/tex]
g(n)=−50−15ng, left parenthesis, n, right parenthesis, equals, minus, 50, minus, 15, n Complete the recursive formula of g(n)g(n)g, left parenthesis, n, right parenthesis. g(1)=g(1)=g, left parenthesis, 1, right parenthesis, equals
Answers
Answer:
g(n) = g(n-1) -15
g(1) = -65
Step-by-step explanation:
We can find the recursive formula from the explicit formula for this arithmetic sequence by substituting 1 and (n+1) for n in the explicit formula.
__
g(n+1) = -50 -15(n+1) = (-50 -15n) -15 . . . . . find g(n+1)
g(n+1) = g(n) -15
and ...
g(1) = -50 -15(1) = -65
Then the recursive formula can ge written as ...
g(n) = g(n-1) -15
g(1) = -65
_____
Additional comment
We found g(n+1) = g(n) -15. Substituting n-1 for n in this formula puts it in the form we need for answering the question:
g((n-1)+1) = g(n-1) -15
g(n) = g(n -1) -15
Either of these forms tells you how to get the next term from the previous one.
Answer:
g(n) = g(n-1) -15
g(1) = -65
Step-by-step explanation:
answer on khan
In a class of 28 students, 11 play an instrument and 5 play a sport. There are 2
students who play an instrument and also play a sport. What is the probability that a
student chosen randomly from the class plays a sport or an instrument?
Answers
Answer:
50% or 0.5
Step-by-step explanation:
Based on the given conditions, formulate: (5+11-2)÷28
Calculate the sum or difference: 16-2/28
Calculate the sum or difference: 14/28
Cross out the common factor: 1/2
get the result: 50% or 0.5
Answer: 50% or 0.5
7 m
7 m
2 m
m
7 m
7 m
How do I find volume??
Answers
Answer:
98 m
Step-by-step explanation:
The formula of the volume is ↓
Length × width × height
= 7 × 7× 2
= 98 m
