The values in the table represent function A and B. Which statement about the 2 functions is true?
Answers
The statement that is true about the 2 functions, in which the relationship between the x and y-values in the table of values for both functions is a linear relationship is presented as follows;
The y-intercept of the graph of A is equal to the y-intercept of the graph of BWhat is a linear relationship?
A linear relationship is a relationship that when plotted on the coordinate plane, produces a linear graph.
The first difference of the y-values in the data contained in the table for Function A are the same and equal to 6, therefore, the data for Function A is a linear relationship.
The slope of the graph of the values in Function A, [tex]m_A[/tex] is found as follows;
Slope of Function A, [tex]m_A[/tex] = (18 - 12)/(3 - 2) = 6
The slope of the graph of A is 6
The equation representing the relationship in function A in point-slope form is therefore;
y - 12 = 6·(x - 2)
y - 12 = 6·x - 12
y = 6·x - 12 + 12 = 6·x
The equation in slope-intercept form, y = m·x + c, where c is the y-intercept is therefore; y = 6·x
The value c in the equation is 0 (c = 0). The y-intercept intercept of the graph of Function A is therefore, c = 0
The y-intercept of the graph of Function A is 0
The first difference of the data in the table of Function B is also a constant
The slope of Function B, [tex]m_B[/tex] = (5 - 1)/(1 - 0) = 4
The slope of the graph of B is 4
From the values in the table, the y-value at the y-intercept, which is the point where x = 0, is y = 1
The y-intercept of the graph of Function B is 1
The true statement is therefore;
The y-intercept of the graph of A is less than the y-intercept of the graph of B
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Related Questions
solve. 10) what are the dimensions of a right triangle with a 5 inch hypotenuse and an area of 6 square inches?
Answers
Answer:
The dimensions are 3, 4 and 5 inches.
Step-by-step explanation:
Area = 1/2 * height * base
6 = 1/2 * h * b
h * b = 12.
As the hypotenuse is 5 inches long
H^2 + B^2 = 5^2
From the third line: h = 12/b, so we have
(12/b)^2 + b^2 = 25
144/b^2 + b^2 = 25
144 + b^4 = 25b^2
b^4 - 25b^2 + 144 = 0
Let B = b^2, so
B^2 - 25B + 144 = 0
(B - 16)(B - 9) = 0
B = 16, 9
So, b = 4, 3
h = 12/b
= 3 , 4.
Find the difference (-3x+8)-(x+10)
Answers
Answer: After doing the problem I got, -4x-2
Write an equation of the line that passes through a pair of points:
On a coordinate plane, a line goes through (0, 2) and (2, 0).
a.
y = x + 3
c.
y = -x + 2
b.
y = x - 3
d.
y = -x - 2
Answers
Answer: its d
Step-by-step explanation:
Answer:
The answer is C:
y = -x + 2
add brainliest please.
Monomial of 9p^3 and 4p
Answers
Answer: A monomial is a polynomial with only one term. So 9p^3 and 4p are monomials.
9p^3 is a monomial with coefficient 9 and exponent 3 in the variable p.
4p is a monomial with coefficient 4 and exponent 1 in the variable p.
Step-by-step explanation:
during the 1950s in the united states, married women who worked outside the home select one: a. faced social pressures to stay at home with their children. b. increased in number throughout the decade. c. accounted for nearly one-third of all married women. d. both increased in number throughout the decade, and accounted for nearly one-third of all married women. e. all these answers are correct.
Answers
The correct answer is that all the options are correct. Therefore option E is the correct option which states that all these answers are correct.
During the 1950s in the United States, married women who worked outside the home faced social pressures to stay at home with their children, but despite these pressures, the number of married women working outside the home increased throughout the decade. By the end of the 1950s, married women who worked outside the home accounted for nearly one-third of all married women.
It is worth mentioning that during that time, there were many societal expectations that women should be homemakers, and it was not as common for married women to work outside the home as it is today. Additionally, discrimination, lack of opportunities and lower wages for women further decreased the number of working women. However, during the 50s women started to participate more in the workforce, and that trend continued to increase in the following decades.
Therefore, The correct answer is that all the options are correct. Therefore option E is the correct option which states that all these answers are correct.
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Must these parallelograms be similar? Explain your reasoning.
Answers
Answer:
Yes. The two parallelograms are similar.
Step-by-step explanation:
Similarity:
Two parallelograms are said to be similar when the corresponding sides are in the same ratio.
[tex]\sf \dfrac{WX}{AB}= \dfrac{3}{2}\\\\\dfrac{XY}{BC}=\dfrac{9}{6} = \dfrac{9 \div 3}{6 \div 3}\\\\[/tex]
[tex]\sf = \dfrac{3}{2}[/tex]
[tex]\bf \dfrac{WX}{AB}=\dfrac{XY}{BC}=\dfrac{3}{2}[/tex]
Therefore, two parallelograms are similar.
There are 50 bacteria present initially in a culture. In 3min., the count is 204800.
What is the doubling period?
Answers
Answer: The doubling period is the time it takes for the population of bacteria to double. To find the doubling period in this case, we need to determine how often the population doubles during the 3-minute period.
We know that the initial population is 50 and the final population is 204800, which means that the population has grown by a factor of 204800/50 = 4096. Since this is a multiplication by a factor of 4096, this means that the population has doubled 4096 times in 3 minutes.
To find the doubling period, we need to divide the total time (3 minutes) by the number of doublings (4096).
So, the doubling period is:
3 minutes / 4096 = 3/4096 minutes ≈ 0.0007 minutes ≈ 0.042 seconds
So, the population of bacteria doubles every 0.042 seconds
Step-by-step explanation:
The population of Sasquatch in a certain county can be modeled by the function P(t) = 140t t + 14 , where t = 0 represents the year 1803. What is the applied domain of P? Find P(0) and indicate the proper units. (Round your answer to the nearest whole number. ) Find P(250) and indicate the proper units. (Round your answer to the nearest whole number. )
Answers
The interpret of P(0) is 0 and P(250) = 132.58. The domain of P is [0, ∞]
The population of Sasquatch in Portage County can be modeled by the function P(t) = 140t/(t + 14) where t represents the number of years since 1803.
We have to interpret P(0).
To interpret P(0) we put t = 0 in the function then solve the function.
The function is:
P(t) = 140t/(t + 14)
Putting t = 0
P(0) = (140 × 0)/(0 + 14)
P(0) = 0/14
P(0) = 0
Now we interpret P(250) by putting t = 250.
P(250) = (140 × 250)/(250 + 14)
P(250) = 35,000/264
P(250) = 132.58
The domain of the time cannot be negative. So the domain of P is [0, ∞].
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The complete question is:
The population of Sasquatch in Portage County can be modeled by the function P(t) = 140t/(t + 14) where t represents the number of years since 1803. Find and interpret P(0) and P(250). Discuss with your classmates what the applied domain and range of P should be.
Four points B, A, E, and L are on a straight line, as shown. The point G is off the line so that angle BAG = 120 degrees and angle GEL = 80 degrees. If the reflex angle at G is x degrees, then what does x equal?
Answers
Given that the reflex angle at G is x degrees, then x is equal to
What is a reflex angle?A reflex angle is a type whose value falls within 180^o and 360^o. This implies that the value of the angle is greater than 180^o, but less than 360^o.
Considering the reflex angle given in the question, it can be deduced that;
m<AGE + m<GAE + m<GEA = 180^o
But,
i. m<GAB + m<GAE = 180^o (sum of angles on a straight line)
120 + m<GAE = 180
m<GAE = 180 - 120
= 60
m<GAE = 60^o
ii. m<GEA + m<GEL = 180^o
m<GEA + 80 = 180
m<GEA = 180 - 80
= 100
m<GEA = 100^o
Thus,
m<AGE + m<GAE + m<GEA = 180^o
m<AGE + 100 + 60 = 180
m<AGE = 180 - 160
= 20
m<AGE = 20^o
Therefore,
x + m<AGE = 360 (sum of angles at a point)
x + 20 = 360
x = 360 - 20
= 340
x = 340^o
x is equal to 340^o.
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two side lengths of a triangle are 11 and 17. what is the longest possible integer length of the third side of the triangle?
Answers
Therefore, the potential length of a triangle's third side is 17-11<x<17+11 is equals to 6 < x< 28.
A triangle's third side must always have a length that falls between (but not exactly equal to) the sum and difference of the other two sides. Consider the examples 2, 6, and 7 as an example. The third side length must therefore be larger than 4 and less than 8.
According to the Triangle Inequality Theorem, any two triangle sides must add up to more than the third side's length. To find the potential length of a triangle, multiply the sum of the two sides by the difference of the two sides.
Therefore, the potential length of a triangle's third side is 17-11<x<17+11.
= 6 < x< 28
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As a result, the third side of a triangle may be equal to 17-11<x<17+11 is equals to 6 < x< 28.
The third side of a triangle must always have a length that is between the sum and difference of the other two sides, but is not exactly equal to either. As an illustration, think about cases 2, 6, and 7. Therefore, the third side length must be more than 4 and lower than 8.
The Triangle Inequality Theorem states that any two triangle sides must add up to greater than the length of the third side. Multiply the sum of the two sides by the difference of the two sides to determine the potential length of a triangle.
Consequently, 17-11<x<17+11.= 6 < x< 28 is the possible length of the third side of a triangle.
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I'LL DO ANYTHING!! PLEASE
Answers
The original length is 250 meters and the scale drawing width is 0.67 cm
The original length of the landFrom the question (see attachment), we have the following parameters that can be used in our computation:
Scale length = 0.5 meters
So, we have
Original length = 0.5/(1/500)
Evaluate
Original length = 250
This means that the original length is 250 meters
The scale drawing widthHere, we have
Scale drawing width = 335 * 1/500
Scale drawing width = 0.67 cm
Hence, the scale drawing width is 0.67 cm
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•What turtle won the race?
•How long did the race take to complete?
•What speed was the Blue turtle traveling from 6-13 hours?
•Which turtle maintained a consistent speed through the entire race?
Answers
The time that it took to complete the race is the time it took for them to stop at the same position, hence it is of 16 hours.
For the Blue turtle, we have that:
At hour six, she was at a position of 10 km.At hour 13, she was at a position of 10 km.The velocity is given by the change in position divided by the change in time, hence:
v = (10 - 10)/(13 - 6)
v = 0.
The red turtle maintained a consistent speed through the entire race, as the slope of her line is constant.
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please help quick!!!!!!!!!
Answers
Answer:
I believe the answer is 273
Step-by-step explanation:
The unshaded part would be an area of 273 because the base is 26 and the height 21. You times that and divide it by 2.
Along with that times the whole rectangle (26 x 21 = 546)
Subtract 546 and 273 and get 273.
After Zach made a bicycle trip in Colorado, he used the equation y=1/20x+5000 to model y, his altitude in feet, in terms of x, the number of feet he bicycled. Which best describes the rate of change in altitude as he traveled
Answers
If the equation to model his altitude(y) in feet, in terms of the number of feet he bicycled(x) is y = 1/20x + 5000 , then the rate of change in altitude as he traveled is described by the fraction "1/20" .
The rate of change in altitude(y) as Zach traveled can be described as the slope of the line represented by the equation y = 1/20x + 5000. In this equation, the slope is 1/20.
The slope of a line is also called as the "rise over run", represents the change in y (altitude) per change in x (distance traveled). So in this case, the slope of 1/20 means that for every 20 feet Zach travels, his altitude changes by 1 foot.
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Shaggy shaggy Raghu scooby boy doo ok
Answers
Determine the value of x in the figure.
Answers
The value of x in the figure is 3
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
or [tex]\dfrac{a}{b}[/tex]
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 6, and b= 4, then:
[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.
Given;
The ratio of line segment QP=2:6
The ratio of line segment RP=X:9
Now, to find x
2/6=x/9
x=9/3
x=3
Therefore, the value of x according to given ratio will be 3
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Find the area of shaded region?
Please help me!!!!
Answers
The are of shade part of semi-circle is 75.36 cm^2.
What is a circle?
A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident. A circle is also termed as the locus of the points drawn at an equidistant from the center. The distance from the center of the circle to the outer line is its radius. Diameter is the line which divides the circle into two equal parts and is also equal to twice of the radius.
The equation of circle in the plane is given as:
(x-h)^2 + (y-k)^2 = r^2
where (x, y) are the coordinate points
(h, k) is the coordinate of the center of a circle
and r is the radius of a circle.
and Area of circle = πr²
Now,
Area of the shaded region=area of large semicircle-2*area of small semicircles
radius for large semicircle=7cm
radius for small semicircle=3.5cm
Therefore,
Area of the shaded region=πR^2-2*πr^2
=3.14(7^2-2*3.5^2)
=3.14*(49-25)
=3.14*24
Area of the shaded region =75.36 cm^2
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Temp (in "C) S -40 30 20 10 A. 10 O C. D. Ch 20 Time (in minutes) The temperature graph of freshly baked cookies after they are removed from the oven is shown in the graph. With the help of the tangent shown in the graph, estimate the rate of change of the temperature of the cookies after 20 minutes. B. -0.33 °C/minute -0.55 °C/minute 0.33 °C/minute 0.55 °C/minute 30 40 X
Answers
From the graph, it looks like the tangent line at 20 minutes has a slope that is close to 0.55°C/minute. So, the estimate of the rate of change of the temperature of the cookies after 20 minutes is approximately 0.55°C/minute.
What is rate of change?With the help of the tangent shown in the graph, it is estimated that the rate of change of the temperature of the cookies after 20 minutes is 0.55 °C/minute.This indicates that the temperature of the cookies is dropping at a rapid rate. After 40 minutes, the temperature has dropped from 40 °C to 30 °C, which shows a decrease of 10 °C in temperature.This rate of decrease in temperature is significant and it ensures that the cookies are cooked properly while also retaining their texture and flavor.This rapid decrease in temperature is a testament to the quality of the freshly baked cookies.This is called a rate of change. It is the rate at which the temperature of the cookies changes over time after being removed from the oven. The graph shows the temperature of the cookies over time in the form of a curve. The tangent to the curve at the point 20 minutes shows the rate of change of the temperature of the cookies.The tangent is sloping downwards, which implies that the temperature of the cookies is decreasing at a rate of 0.55°C per minute. This rate of change is referred to as the negative rate of change since it is a decrease in temperature over time.To learn more about rate of change refer to:
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how many different paths from a to b are possible if each path must avoid the point with the circle around it?
Answers
This depends on the number of paths that exist between point a and point b. If there are more than one path, then the number of paths that avoid the point with the surrounding circle will be one less than the total number of paths.
The number of paths from point a to point b that avoid the point with the surrounding circle will depend on the total number of paths between the two points. If there are multiple paths between the two points, then the number of paths that avoid the point with the circle will be one less than the total number of paths.
For example, if there are three paths between a and b, then two of those paths will avoid the point with the circle.
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2. Use a number line to show the temperature rising by 20 degrees and dropping by 20 degrees.
3. Use a number line to find the temperature if it was -7 degrees today, and rises by 20 degrees tomorrow.
Answers
Answer:
see graph attached
Step-by-step explanation:
Simplify the expression 14.33z - 3 - (6 - 5.23z).
Answers
Answer: 19.56z - 9
Step-by-step explanation: Hello! Here are the steps to solve this problem:
14.33z - 3 - (6 - 5.23z).
Firstly, you have to use the distributive property and distribute -1 to the parentheses using PEMDAS, Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
14.33z - 3 + -1(6 - 5.23z)
14.33z - 3 + (-6 + 5.23z)
14.33z + (-3) + (-6) + (5.23z)
14.33z + (5.23z) + (-3) + (-6)
(14.33z + 5.23z) + (-3 - 6)
19.56z + (-3 - 6)
19.56z + (-9)
19.56z - 9.
Determine the intercepts of the line.
Do not round your answers.
y=-3x+12
y-intercept:
x-intercept:
Answers
Answer:
y- intercept = 12, x- intercept = 4
Step-by-step explanation:
to find the y- intercept, the point where the line crosses the y- axis.
let x = 0 in the equation and solve for y
y = - 3(0) + 12 = 0 + 12 = 12
then y- intercept = 12
to find the x- intercept, where the line crosses the x- axis.
let y = 0 in the equation and solve for x
0 = - 3x + 12 ( subtract 12 from both sides )
- 12 = - 3x ( divide both sides by - 3 )
4 = x
then x- intercept = 4
...........................
Answers
Answer: 25.90
Step-by-step explanation:
Answer:
y = 57.2 - 7.15x
Step-by-step explanation:
Let y represent the number of gigabytes left, and let x = number of games.
Originally, y = 57.2.
Each game will occupy 57.2/8 gigabytes = 7.15 gigabytes.
x games occupy 7.15x gigabytes, so for x games loaded on his computer, the gigabytes left go down by 7.15x.
The equation is
y = 57.2 - 7.15x
Write this polynomial in descending order:
Photo Below
Answers
The polynomial in descending order is
[tex]x^7[/tex] - 4[tex]x^5[/tex] + 4x³ + 2[tex]x^4[/tex] - 10
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
-4[tex]x^5[/tex] + 4x³ + [tex]x^7[/tex] - 10 + 2[tex]x^4[/tex]
Arranging in descending order means arranging the terms in their descending order of power.
Now,
[tex]x^7[/tex] > [tex]x^5[/tex] > [tex]x^4[/tex] > x³
So,
[tex]x^7[/tex] - 4[tex]x^5[/tex] + 4x³ + 2[tex]x^4[/tex] - 10
Thus,
The polynomial is:
[tex]x^7[/tex] - 4[tex]x^5[/tex] + 4x³ + 2[tex]x^4[/tex] - 10
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HURRY 30 POINTS
Mrs. Bready has a large bag filled with red and green cards. She tells the class that 15% of the cards are red and
85% are green. At the end of each class, she mixes the cards, reaches inside the bag, and draws out one card at
random. If a red card is drawn, the students will not be assigned homework. She shows the class the card, and
then places the card back in the bag. Carla would like to carry out a simulation to estimate the number of days it will take in order to get a "no homework" day. She assigns the digits to the outcomes.
00-14 = red
15-99 = green
Beginning at line 1 carry out one trial of this simulation. Use additional lines as needed. How many days does it take to find the first "no homework" day?
A)1
B)3
C)9
D)18
Answers
According to the concept of average it will take 3 days in order to get a "no homework" day.
The term called average in math is defined as the number you get when you add two or more figures together and then divide the total by the number of figures you added.
Here we know that Mrs. Bready has a large bag filled with red and green cards. She tells the class that 15% of the cards are red and 85% are green.
And here we need to determine the average number of days that it will take in order to get a "no homework" day based on these 5 trials,
Then the following calculation must be performed as,
=> 0.85 x 0.85 x 0.85 x 0.85 x 0.85 = X
=> x = 0.4437
Hence it will take 4.2 days in order to get a "no homework" day.
Here we have already know that the first trial is carried out then we have to subtract it from the total number then we get,
=> 4.2 - 1 = 3.2
When we round off the value then we get 3.
Therefore, option (b) is correct.
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what is the surface area
Answers
The surface area of the shape, can be found to be
How to find the surface area ?This is a composite shape which means you need to find the surface areas of the different shapes and then sum them up.
Area of triangle :
= 1 / 2 x base x height
= 1 / 2 x 20 x 25
= 250 cm ²
Area of rectangles :
= ∑ ( Length x Width )
= ( 20 x 15 ) + ( 25 x 15 ) + ( 15 x 30 )
= 1, 125 cm ²
The surface area is:
= 1, 125 + 250
= 1, 375 cm ²
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An airline claims that there is a 0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.
Answers
The probability that Sam's first upgrade will occur after the third flight = 0.729
Let m represents the number of flights Sam must take in order to receive his first upgrade.
To find the probability that Sam's first upgrade will occur after the third flight.
i.e., to find P(m ≥ 4)
Here, 0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight.
p = 0.10
q = 1 - p
q = 0.90
P(m ≥ 4) = 1 - P(m ≤ 3)
P(m ≥ 4) = 1 - [P(m = 1) + P(m = 2) + P(m = 3)]
P(m ≥ 4) = 1 - [0.1 + (0.9 × 0.1) + (0.9² × 0.1)]
P(m ≥ 4) = 1 - (0.1 + 0.09 + 0.081)
P(m ≥ 4) = 0.729
therefore, the required probability = 0.729
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The complete question is:
An airline claims that there is a 0.10
probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.
What is the probability that Sam's first upgrade will occur after the third flight?
What is the equation of the line that passes through the point (−4,8) and has a slope of −1?
Answers
Answer:
y - 8 = -1 (x + 4)
Step-by-step explanation:
I don't know if your suppose to solve it but i'll do it anyway
y - 8 = -1 (x+4)
y - 8 = -1x - 4
y - 8 +8 = -1x -4 +8
y = -1x + 4
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ - 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{- 1}(x-\stackrel{x_1}{(-4)}) \implies y -8= -1 (x +4) \\\\\\ y-8=-x-4\implies {\Large \begin{array}{llll} y=-x+4 \end{array}}[/tex]
The term glycol ____
indicates a lack of glucose.
Answers
Answer:The term glycol does not indicate a lack of glucose.
Step-by-step explanation:The term glycol does not indicate a lack of glucose, it refers to a specific class of organic compounds which are characterized by having two hydroxyl groups (-OH) on adjacent carbon atoms. Common examples include ethylene glycol and propylene glycol which are used in a variety of industrial and commercial applications such as antifreeze, coolants, and solvents.
Answer:
Glycopenia
Step-by-step explanation:
This is where the body lacks or shortage of glucose in the body which is properly needed.
A composite figure is shown.
A five-sided figure with two parallel bases. The top one is 4 inches. The vertical height between these bases is 2.3 inches. That vertical height intersects the bottom base, leaving 2.5 inches between it and the vertex to the left. The side on the right is the longest at 5.2 inches. There is a horizontal line connecting the vertex of the bottom base to the 5.2-inch side and that line is 3 inches.
Which of the following represents the total area of the figure?
Answers
The total area of the figure is 14.35 square inches
How to determine the total area of the figure?The six-sided figure is not given, however we can deduce the following parameters from the question:
The shape is made of a triangle and a trapezoid
The side lengths derived from the question are:
The triangle on top:
base: 4 inches and height: 2.3 inches
The trapezoid at the bottom:
Parallel sides: 2.5 inches and 4 inches with a height of 3 inches
So, we have the total area of the figure to be
Area of figure = 1/2 * 4 * 2.3 + 1/2 * (2.5 + 4) * 3
Area of figure = 14.35
Hence, the total area is 14.35 square inches
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Answer:
Step-by-step explanation:
dddcdcdcdc its d