Answer:
[tex]\frac{1}{4096}[/tex]
Step-by-step explanation:
To solve this we are using the formula for the nth term of a geometric sequence:
[tex]a_n=a_1r^{n-1}[/tex]
where
[tex]a_1[/tex] is the first term
[tex]r[/tex] is the common ratio
[tex]n[/tex] is the position of the term in the sequence
The common ratio is just the current term divided by the previous term in the sequence, so [tex]r=\frac{16}{64} =\frac{4}{16} =\frac{1}{4}[/tex]. We can infer from our sequence that its first term is 64, so [tex]a_1=64[/tex].
Replacing values
[tex]a_n=a_1r^{n-1}[/tex]
[tex]a_n=64(\frac{1}{4} )^{n-1}[/tex]
We want to find the 10th term, so the position of the term in the sequence is [tex]n=10[/tex].
Replacing values
[tex]a_n=64(\frac{1}{4} )^{n-1}[/tex]
[tex]a_{10}=64(\frac{1}{4} )^{10-1}[/tex]
[tex]a_{10}=64(\frac{1}{4} )^{9}[/tex]
[tex]a_{10}=\frac{1}{4096}[/tex]
We can conclude that the 10th term of the sequence is [tex]\frac{1}{4096}[/tex]
Answer:
10th term of the sequence 64,16,4... = 1/4096
Step-by-step explanation:
Points to remember
nth term of GP is given by.
Tₙ = ar⁽ⁿ⁻¹⁾
Where r is the common ratio and a is the first term
To find the 10th term of given GP
It is given that,
64, 16, 4,......
a = 64 and 6 = 1/4 Here
T₁₀ = ar⁽ⁿ⁻¹⁾
= 64 * (1/4)⁽¹⁰⁻¹⁾ = 64 * (1/4⁹)
= 4³/4⁹ = 1/4⁶ = 1/4096
Aaron is proving that the slope between any two points on a straight line is the same. He has already proven that triangles 1 and 2 are similar.
Drag statements and reasons to complete the proof.
i think this is the right one sorry if im wrong
Answer: The answers are:
row 1- slope from P to Q = F/E
row 2- definition of slope
row 3- F´/E´ = F/E
I think that this is the correct picture was the correct one for your problem.
12 Times 15
My calculator said it was 160
Answer:
False
Step-by-step explanation:
12 × 15 = 180
12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 = 180
Answer:
180.
Step-by-step explanation:
Something wrong there. Mine says 180.
12 * 15 = 12*10 + 12*5
= 120 + 60
= 180.
Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent.
Check the picture below.
The answer is a=8 btw
If the ratio of side lengths of similar polygons is 6:11, what is the ratio of perimeters
Answer:
6 : 11
Step-by-step explanation:
the ratio 6 : 11 applies to all linear measure in the similar polygons
Both side lengths and perimeter are linear, hence
ratio of both is 6 : 11
A square piece of gold has an area of 36 square millimeters. How long is each is each side?
Answer:
9
Step-by-step explanation:
What you're going to do is
-take the area and divide it by the amount of sides (a square has 4)
36/4=9
The sum of x and y is greater than 0. When y is subtracted from x, the difference is less than or equal to 0. Which system of inequalities could you use to solve for x and y?
PLEASE ANSWER ASAP!!!!
Answer:
[tex]x+y>0[/tex]
[tex]x-y\leq 0[/tex]
Step-by-step explanation:
Given that the sum of x and y is greater than 0.
So we can write inequality [tex]x+y>0[/tex].
When y is subtracted from x, the difference is less than or equal to 0.
So the next inequality is [tex]x-y\leq 0[/tex].
Hence required system of inequalities that can be used to solve for x and y is :
[tex]x+y>0[/tex]
[tex]x-y\leq 0[/tex]
Answer:
100% sure its A
Step-by-step explanation:
I took the test
Given: circle k(O), m LM = 164°, m WK = 68°, m∠MLK = 65°. Find: m∠LMW
Answer:
The measure of angle LMW is [tex]m\angle LMW=67\°[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of arc MW
we know that
The inscribed angle measures half that of the arc comprising
so
[tex]m\angle MLK=\frac{1}{2}[arc\ MW+arc\ WK][/tex]
substitute the given values
[tex]65\°=\frac{1}{2}[arc\ MW+68\°][/tex]
[tex]130\°=[arc\ MW+68\°][/tex]
[tex]arc\ MW=130\°-68\°=62\°[/tex]
step 2
Find the measure of arc LK
we know that
[tex]arc\ LM+arc\ MW+arc\ WK+arc\ LK=360\°[/tex] -----> by complete circle
substitute the given values
[tex]164\°+62\°+68\°+arc\ LK=360\°[/tex]
[tex]294\°+arc\ LK=360\°[/tex]
[tex]arc\ LK=360\°-294\°=66\°[/tex]
step 3
Find the measure of angle LMW
we know that
The inscribed angle measures half that of the arc comprising
so
[tex]m\angle LMW=\frac{1}{2}[arc\ LK+arc\ WK][/tex]
substitute the given values
[tex]m\angle LMW=\frac{1}{2}[66\°+68\°]=67\°[/tex]
Applying the inscribed angle theorem, the measure of angle LMW is found as: 67°.
What is the Inscribed Angle Theorem?According to the inscribed angle theorem, the measure of an inscribed angle is half the measure of the arc that is intercepted.
Given:
m(LM) = 164°m(WK) = 68°m∠MLK = 65°Find m(MK):
m(MK) = 2(m∠MLK) (inscribed angle theorem)
Substitute
m(MK) = 2(65°)
m(MK) = 130°
Find m(LK):
m(LK) = 360° - m(LM) - m(MK) (full circle)
Substitute
m(LK) = 360° - 164° - 130°
m(LK) = 66°
Therefore:
m∠LMW = 1/2[m(LK) + m(WK) (inscribed angle theorem)
Substitute
m∠LMW = 1/2[66° + 68°]
m∠LMW = 1/2[134°]
m∠LMW = 67°
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Which is equivalent to ?
I do not see an illustration.
Mr. Cooper is building a playset in his backyard for his kids. He has a made a scale drawing of the playset to help him estimate the amounts of building materials he needs to purchase. Part of the playset includes a rectangular sandbox, which has a length of 5 feet and a width of 7 feet. On the scale drawing, the length of the sandbox is 2 A. The scale used in the drawing is = 1 foot. B. On the scale drawing, the width of the sandbox is inches. C. If Mr. Cooper decides to make a new scale drawing of the playset, in which he uses a scale of inch = 1 foot, all of the dimensions in the old drawing will be multiplied by a factor of .
Answer:
If Mr. Cooper decides to make a new scale drawing of the play set, in which he uses a scale of inch = 1 foot, all of the dimensions in the old drawing will be multiplied by a factor of ⇒ the last answer
Step-by-step explanation:
* Lets study what is the meaning of the scale factor
- To find a scale factor between two similar figures
# Find two corresponding sides and write the ratio of the two sides.
# If you begin with the smaller figure, your scale factor will be less
than one.
# If you begin with the larger figure, your scale factor will be greater
than one
* Now lets solve the problem
- The rectangular sandbox, has a length of 5 feet and a width of
7 feet
- On the scale drawing, the length of the sandbox is 2 inches
- The actual sandbox and the drawing sandbox are similar
∵ The length of the actual sandbox is 5 feet
∵ The drawing length is 2 inches
∵ 1 foot = 12 inches
∴ The scale factor is 2/(5 × 12) = 1/30
* That means each actual dimensions will multiply by 1/30 to find
the drawing dimensions
∴ The drawing length of the sandbox = 5 × 12 × 1/30 = 2 inches
∴ The drawing width of the sandbox = 7 × 12 × 1/30 = 2.8 inches
* All of the dimensions in the old drawing will be multiplied by
a factor of 1/30
1/2 inch
3 3/4
2
i know im 2 years late but hopefully this helps someone else
the equation y=-3x^2 describes a parabola what way does the parabola open
Answer:
Downwards.
Step-by-step explanation:
The coefficient of x^2 is negative (-3) so it opens downwards. All values of x will be 0 or negative.
A farmstand sells two types of grapes. the cost of green grapes can be represented by the equation Y= 1.5X, where Y is the total cost for X pounds. the graph represents the cost of black grapes which statement must be true?
A. Three pounds of green grapes cost $6.00.
B. Black grapes cost less per pound than green grapes l.
C. Black grapes cost more per pound than green grapes.
D. Two pounds of black grapes cost $3.00.
PLEASEEEE HELP
Answer:
C. Black grapes cost more per pound than green grapes.
Step-by-step explanation:
Verify each statement
A. Three pounds of green grapes cost $6.00
The statement is False
Because
For x=3 pounds
y=1.5x
y=1.5(3)=$4.5
B. Black grapes cost less per pound than green grapes
The statement is False
Because
For x=1 pound
The green grapes cost ----> y=1.5(1)=$1.5
Observing the graph
For x=1 pound
The black grapes cost $2
C. Black grapes cost more per pound than green grapes.
The statement is True
D. Two pounds of black grapes cost $3.00.
The statement is False
Because
Observing the graph
Two pounds of black grapes cost $4
An equation is formed of two equal expressions. The third statement is true.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A.) The cost of a pound of green grapes is,
Y = 1.5X = 1.5×3 = 4.5
Hence, the first statement is false.
B.) The cost of a pound of green grapes is $1.5, while the cost of a pound of black grapes is $2. Thus, the second statement is false.
C.) The cost of a pound of green grapes is $1.5, while the cost of a pound of black grapes is $2. Thus, the third statement is true.
D.) As per the graph, the cost of 2 pounds of grapes is $4. Thus, the fourth statement is wrong.
Hence, the third statement is true.
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16 POINTS!
WILL GIVE BRAINLIEST!
A class tracked the hours each student played games per month. Answer the questions below.
Based on the data in the line plot, show all work to calculate the following:
a) The mean
b) The median
c) The mode
d) What percentage of the students play video games for more than 4 hours in a month?
Answer: The mean
Step-by-step explanation: a) The mean:
To find the mean, we just simply need to add the hours spent by the students playing games and divide by the number of hours.
Mean = = 2.85
b) The median:
We will arrange the number of hours for in ascending order and the middle value will be the median.
Median = 3
c) The mode:
Mode is the number which occurs most frequently. So in this case Mode = 2, 3.
d)Percentage of the students play video games for more than 4 hours in a month = = 45%
The average of six numbers is 4. If the of two of those numbers is 2, what is the average of the other four numbers?
Answer:
5
Step-by-step explanation:
total sum of the 6 numbers
= 4 ×6
= 24
sum of numbers without the two 2s
= 24 - 2(2)
= 20
average of other 4 numbers
= 20 ÷ 4
= 5
The average of the other four numbers is 5.
How to find the average?
The average of six numbers is 4. If the of two of those numbers is 2.
The total sum of the 6 numbers
= 4 ×6
= 24
The sum of numbers without the two 2s
= 24 - 2(2)
= 20
The average of other 4 numbers
= 20 ÷ 4
= 5
Hence, The average of the other four numbers is 5.
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The sequence is recursive. Find the value of the next term in the sequence 7, 1, -5, -11, -17,
Answer:
-23
Step-by-step explanation:
Each term is 6 less than the past term. Hopw this helps!
There is no "standard" way to solve an exercise like this: you just have to eyeball the sequence and try to find/guess the pattern.
The most common (and easy!) examples are arithmetic or geometric sequence, where the difference or ratio between two consecutive terms is constant.
This is one of those cases: this is an arithmetic sequence, because you obtain every next term by subtracting 6 from the previous one:
[tex]a_1 = 7\\a_2 = a_1-6 = 7-6 = 1\\a_3 = a_2-6 = 1-6 = -5\\a_4 = a_3-6 = -5-6 = -11\\a_5 = a_4-6 = -11-6 = -17[/tex]
So, we can deduce
[tex]a_6 = a_5-6 = -17-6 = -23[/tex]
Given: m∠ELG = 124°
Prove: x = 28
Answer:
Angle addition postulate and 2x=56
Step-by-step explanation:
The value of x is 28 degree.
What is linear pair?Linear pair of angles are formed when two lines intersect each other at a single point.
Given:
m∠ELG = 124
as, m∠ELG and m∠ELD are in linear pair.
So, 124 + 2x =180
2x =56
x -28
Hence, the value of x is 28 degree
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The degree of the function f(x) = -(x + 1)2(2x - 3)(x + 2)2 is
. and its y-intercept is
Answer:
Degree: 5
Y-intercept: 12
Step-by-step explanation:
The given expression is
[tex]f(x)=-(x+1)^2(2x-3)(x+2)^2[/tex]
Since the factors are multiplying, we can analyse the degree of each factor and add them to find the degree of the polynomial.
The degree of the factor [tex]-(x+1)^2[/tex] is 2.
The degree of [tex](2x-3)[/tex] is 1
The degree of [tex](x+2)^2[/tex] is 2
Therefore the degree of the polynomial is 2+1+2=5
To find the y-intercept, we put x=0.
[tex]f(0)=-(0+1)^2(2(0)-3)(0+2)^2[/tex]
[tex]f(0)=-(-3)(4)=12[/tex]
The y-intercept is 12
You randomly select one card from a 52-card deck. Find the probability of selecting the four of spades or the six of diamonds.
Answer:
1/26
Step-by-step explanation:
There's only 1 four of spades and only 1 six of diamonds. So the probability is:
P = P(4 of spades) + P(six of diamonds)
P = 1/52 + 1/52
P = 1/26
The probability of selecting the four of spades or the six of diamonds from a standard 52-card deck is 1/26. This is determined by adding the probabilities of each individual card being drawn since they are mutually exclusive events.
Explanation:The question asks about the probability of selecting a specific card from a standard 52-card deck. To find the probability of selecting either the four of spades or the six of diamonds, we recognize that these are two distinct events. Since there is one four of spades and one six of diamonds in a deck, and there are 52 cards in total, the probability of drawing the four of spades is 1/52 and similarly the probability of drawing the six of diamonds is also 1/52. These events are mutually exclusive, meaning they cannot happen at the same time, so we can simply add the two probabilities together to find the total probability:
Probability(four of spades or six of diamonds) = Probability(four of spades) + Probability(six of diamonds) = 1/52 + 1/52 = 2/52.
Therefore, the probability is 2/52, which can be simplified to 1/26.
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The point (2, –4) is reflected across the line y = –1. What are the coordinates of the image?
ANSWER
The coordinates of the image are (2,2)
EXPLANATION
The mapping for a reflection across the line y=k is :
[tex](x,y)\to (x,2k-y)[/tex]
We want to find the image of the point (2,-4) after a reflection in the line y=-1.
In this case k=-1.
[tex](2, - 4)\to (2,2( - 1)- - 4)[/tex]
This simplifies to,
[tex](2, - 4)\to (2, - 2 + 4)[/tex]
[tex](2, - 4)\to (2, 2)[/tex]
Hence the image is (2,2)
The sum of two numbers is 13. Two times the first number minus three times the second number is one. If you let x stand for the first number and y for the second number what are the two numbers?
please and thanks!
Answer: X = 8 And Y = 5 "First Choice Letter A"
Step-by-step explanation: x + y = 13......x = 13 - y
2x - 3y = 1
2(13 - y) - 3y = 1
26 - 2y - 3y = 1
-2y - 3y = 1 - 26
-5y = -25
y = -25/-5
y = 5
x + y = 13
x + 5 = 13
x = 13 - 5
x = 8
so, x = 8 and y = 5
Which is the graph of g(x) = 2x – 1 + 3?
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]g(x)=2^{x-1}+3[/tex]
This is a exponential function
The domain is the interval ----> (-∞,∞)
All real numbers
The range is the interval ----> (3,∞)
All real numbers greater than 3
The y-intercept of the function is the value of the function when the value of x is equal to zero
For x=0
[tex]g(0)=2^{0-1}+3[/tex]
[tex]g(0)=2^{-1}+3[/tex]
[tex]g(0)=\frac{1}{2} +3[/tex]
[tex]g(0)=3.5[/tex]
The y-intercept is the point (0,3.5)
using a graphing tool
The graph in the attached figure
Answer:
The first answer
Step-by-step explanation:
I took the test
what is 3 3/5 x ( -8 1/3)
Answer: -30
I really hope this helped you
To solve 3 3/5 x (-8 1/3), we convert the mixed numbers into improper fractions, multiply them, and simplify to get the answer -30.
The student is asking to perform multiplication between a mixed number and a mixed number with a negative sign. To compute 3 3/5 x (-8 1/3), we first convert the mixed numbers into improper fractions. The number 3 3/5 can be converted to 18/5 (since 3*5 + 3 = 18) and -8 1/3 can be converted to -25/3 (since -8*3 + 1 = -25). Multiplying these two improper fractions gives us (18/5) * (-25/3). To multiply fractions, we multiply the numerators together and the denominators together, giving us -450/15. Simplifying this fraction, we get the final answer, which is -30.
calculate the volume of each geometric shape:
a) cylinder with radius of 5 inches and height of 3 inches.
b) sphere with diameter of 12 inches.
Answer:
a) 235.62in³
b) 904.78in³
Step-by-step explanation:
a) The formula to find the volume of a cylinder is:
[tex]V = \pi r^2h[/tex]
We are given that r = 5 and h = 3, so we can just plug in and solve:
[tex]V = \pi(5)^2(3) = 235.62in^3[/tex]
b) The formula to find the volume of a sphere is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
We are given that the diameter is 12in, which means that the radius (r) must be 6in (half the diameter). Now, we can plug in and solve:
[tex]V = \frac{4}{3}\pi (6)^3 = 904.78in^3[/tex]
Answers choices
<4
<3
<1
<2
Answer:
4
Step-by-step explanation:
An angle of depression is measured from the horizontal downwards
From the given diagram this is represented by angle 4
What is the area of the scalene triangle shown (ABC), if AO = 10 cm, CO = 2 cm, BC = 5 cm, and AB = 12.20 cm? (Triangle AOB is a right triangle.)
Answer:
The area of triangle ABC is [tex]25\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The area of triangle ABC is equal to the area of triangle ABO minus the area of triangle ACO
see the attached figure to better understand the problem
step 1
Find the area of triangle ABO
The area is equal to
[tex]A=\frac{1}{2}(AO)(BO)[/tex]
substitute values
[tex]A=\frac{1}{2}(10)(5+2)=35\ cm^{2}[/tex]
step 2
Find the area of triangle ACO
The area is equal to
[tex]A=\frac{1}{2}(AO)(CO)[/tex]
substitute values
[tex]A=\frac{1}{2}(10)(2)=10\ cm^{2}[/tex]
step 3
Find the area of triangle ABC
[tex]35\ cm^{2}-10\ cm^{2}=25\ cm^{2}[/tex]
Which of these ordered pairs is a solution to the linear inequality y> 3x + 2? (-2,-7)
(-1,-5)
(2,8)
(2,9)
Answer:
(2, 9)Step-by-step explanation:
Put the coordinates of the points to the inequality and check:
y > 3x + 2
for (-2, -7) → x = -2, y = -7
-7 > 3(-2) + 2
-7 > -6 + 2
-7 > -4 FALSE
==========================
for (-1, -5) → x = -1, y = -5
-5 > 3(-1) + 2
-5 > -3 + 2
-5 > -1 FALSE
==========================
for (2, 8) → x = 2, y = 8
8 > 3(2) + 2
8 > 6 + 2
8 > 8 FALSE
===========================
for (2, 9) → x = 2, y = 9
9 > 3(2) + 2
9 > 6 + 2
9 > 8 TRUE
Need a two step equation for number 3
so the bike costs $129, but she already has $24 saved, then she'll be saving $3 per week so let's take a peek at a table of those savings
week 1..................... total amount......... 24 + 3(1)
week 2..................... total amount......... 24 + 3(2)
week 3..................... total amount......... 24 + 3(3)
week 4..................... total amount......... 24 + 3(4)
week 5..................... total amount......... 24 + 3(5)
week w..................... total amount......... 24 + 3(w)
[tex]\bf \stackrel{\textit{total savings}}{s(x)}=\stackrel{\textit{initial amount}}{24}+\stackrel{\textit{weekly savings}}{3w} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{cost of the bike}}{129}=24+3w\implies 105=3w\implies \cfrac{105}{3}=w\implies 35=w[/tex]
Answer:
24 + 3x = 129
35 weeks
Step-by-step explanation:
She already has 24 dollars saved, but will save 3 dollars every week. Use x to represent the number of weeks. In total she will save 129.
Solve for x using the equation:
24-24 + 3x = 129-24
3x = 105
3x/3 = 105/3
x= 35
A wooden board in the shape of a rectangular prism measures 1.5 meters by 0.75 meter by 0.2 meter and has a mass of 146.25 kilograms.
What is the density of the board?
Enter your answer in the box.
kg/m³
Answer:
650 kg/m³
Step-by-step explanation:
The density is the ratio of mass to volume. The volume is the product of the dimensions of the prism.
density = (146.25 kg)/((1.5 m)(0.75 m)(0.2 m)) = 146.25/0.225 kg/m³
= 650 kg/m³
Answer:
650 kg/m³
Step-by-step explanation:
NEED ANSWER NOW. WILL MARK BRAINLIEST
For which distributions is the median the best measure of center?
Select each correct answer.
A bar graph with most of the values hovering around 25 y.
A bar graph with values that climb up past 18 y then descend down to just above 2 y.
A bar graph with bars that gradually rises up to over 20 y then drops off down below 2 y.
A bar graph with bars that gradually rises up to over 24 y then drops off down below 2 y.
Answer:
it would be c beacuse i did the test so ya
Answer:
b
Step-by-step explanation:
10 Points! Drag the tiles to the correct boxes to complete the pairs.
Match each expression to the correct verbal description.
The answers are:
First box: 7 times the cube of the sum of x and 8
Second box: 8 added to the cube of 7x.
Third box: 8 added to 7 and x cubed.
Fourth box: the cube of the sum of 7x and 8.
Why?We are given the expression and we need to macth to the correct verbal description, so we have:
First box:
[tex]7(x+8)x^{3}[/tex]
It's 7 times the cube of the sum of x and 8
Second box:
[tex](7x)^{3}+8[/tex]
We have that "7x" is cubed and then, added to 8, so, it's 8 added to the cube of 7x.
Third box:
[tex]7x^{3}+8[/tex]
We have "7" times "x" cubed and added to 8, so it's 8 added to 7 and x cubed.
Fourth box:
[tex](7x+8)x^{3}[/tex]
We have "7x" added to 8, and the expression is cubed, so, it's the cube of the sum of 7x and 8.
Have a nice day!
Find the area of the kite QRST. HELP PLEASE!!!
A. 90m^2
B. 108m^2
C. 216 m^2
D. 135 m^2
ANSWER
D. 135 m^2
EXPLANATION
The area of a kite is half the product of the diagonals.
The first diagonal is
9m+6m=15m
Note that the vertical diagonal is the axis of symmetry of the kite.
This diagonal bisect the kite
Therefore the second diagonal is
2(9m)=18m
The area of the kite
[tex] = \frac{1}{2} \times 18 \times 15[/tex]
[tex] = 9 \times 15[/tex]
[tex] = 135 {m}^{2} [/tex]
Answer:
[tex]A_{T}=135 m^{2[/tex]
Step-by-step explanation:
Hello
To solve this problem we can divide the kite into simpler geometric figures to find its area, we have four triangles
the area of a triangle =(b*h)/2
b is the base and his the heigth
Step 1
triangle 1 (LEFT UP)
[tex]b=9\ m\\\ h= 9\ m\\A=\frac{9 m* 9m}{2}\\\\A_{1} =40.5\ m^{2}[/tex]
Step 2
triangle 2 (RIGHT UP)
[tex]b=9\ m\\\ h= 9\ m\\A=\frac{9 m* 9m}{2}\\\\A_{2} =40.5\ m^{2}[/tex]
Step 3
triangle 3 (LEFT DOWN)
[tex]b=9\ m\\\ h= 6\ m\\A=\frac{9 m* 6m}{2}\\\\A_{3} =27\ m^{2}[/tex]
Step 4
triangle 4 (RIGHT DOWN)
[tex]b=9\ m\\\ h= 6\ m\\A=\frac{9 m* 6m}{2}\\\\A_{4} =27\ m^{2}[/tex]
Step 5
Total Area
the total area is
[tex]A_{T}=A_{1}+A_{2}+A_{3}+A_{4} \\A_{T}=(40.5+40.5+27+27)m^{2} \\A_{T}=135 m^{2}[/tex]
Have a great day