Not sure how to find the area of this shape. Please help asap

Not Sure How To Find The Area Of This Shape. Please Help Asap

Answers

Answer 1

Answer:

6.75m^2

Step-by-step explanation:

The shape is made up of a trapezoid on top and a rectangle on the bottom.

The rectangle's area is easier, so first:

Area_rectangle

= length × width

= 2.5 × .5

= 1.25 m^2

For area of a trapezoid, you need three measures: both bases and the height.

One base is 3m. The other base is the top side of the rectangle, so it is 2.5m.

The height is

2.5 - .5

because the height of the trapezoid is not including the rectangle, so take away .5

Trapezoid's height is 2.5 - .5 is 2.

Area_trapezoid

= 1/2 (base+base)height

= 1/2 (3+2.5)2

=5.5

Area_total

= Trapezoid+rectangle

= 5.5 + 1.25

=6.75m^2

The total area is 6.75square meters.

Answer 2

Answer:

Area = 6.75 meter square.

Step-by-step explanation:


Related Questions

If f (x) = x/2 - 3 and g(x) = 4 x^2 + x-4, find (f+g)(x).

Answers

The sum of the two functions can also be expressed as follows;

[tex](f+g)(x)=f(x)+g(x)[/tex]

This is not a difficult process. We just put the terms of the two functions together.

We have to be careful to add or subtract the coefficients of similar terms, taking into account their signs.

[tex]f(x)=\frac{x}{2}-3[/tex][tex]g(x)=4x^2+x-4[/tex][tex](f+g)(x)=f(x)+g(x)[/tex][tex](f+g)(x)=4x^2+x+\frac{x}{2}-7[/tex]

Answer:

Step-by-step explanation:

x2 – 2x – 8

2x - 3y = -6please solve and graph

Answers

2x - 3y = -6

Solve for y:

-3y= -6-2x

y= (-2x-6) /-3

y= 2/3x+2

Slope intercept form:

y= mx+b

Where:

m= slope (2/3)

b= y-intercept (2)

So, to graph the function, we have to draw a line that crosses the y axis at 2, and for every 3 units moved to the right along the x-axis it goes up 2 units along the y-axis.

To describe a specific geometric sequence, Jamie wrote the recursive formula: (Formula in picture)


Write the first five terms of this sequence.

Answers

If Jamie wrote the recursive formula [aₙ = {(aₙ₋₁) * 4}, where (a₁ = 2)] to describe a specific geometric sequence, then the first five terms of this sequence are [2, 8, 32, 125 and 512]

As per the question statement, Jamie wrote the recursive formula

[aₙ = {(aₙ₋₁) * 4}, where (a₁ = 2)] to describe a specific geometric sequence.

We are required to determine the first five terms of this sequence.

To solve this question, first we have to determine the values of "n" which goes as (n = 1, 2, 3, 4, 5, 6...)

Now, for (n = 1), (an = a₁ = 2), given in the question statement itself,

And using the question mentioned formula, for (n = 2),

[a₂ = {(a₍₂₋₁₎ * 4}]

Or, [a₂ = (a₁ * 4)]

Or, [a₂ = (2 * 4)]

Or, (a₂ = 8).

Similarly, for (n = 3), [a₃ = {(a₍₃₋₁₎ * 4}]

Or, [a₃ = (a₂ * 4)]

Or, [a₃ = (8 * 4)]

Or, (a₃ = 32).

For (n = 4), [a₄ = {(a₍₄₋₁₎ * 4}]

Or, [a₄ = (a₃ * 4)]

Or, [a₄ = (32 * 4)]

Or, (a₄ = 128).

For (n = 5), [a₅ = {(a₍₅₋₁₎ * 4}]

Or, [a₅ = (a₄ * 4)]

Or, [a₅ = (128 * 4)]

Or, (a₅ = 512)

Hence, the first five terms of this sequence are [2, 8, 32, 125 and 512].

Sequence: In mathematics, a sequence is an enumerated collection of objects in a particular order, and repetitions being allowed.

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A ball is thrown upward from the top of a building that is 160 feet tall. The height, H, of the ball T seconds after being thrown is given by the equation H = -16t^2 + 48t + 160.

After how many seconds will the ball hit the ground?

a. 2
b. 3
c. 5
d. 10

Answers

Answer:

10

Step-by-step explanation:

because 10 is 10 gsjivfhnvv thkgfhlmbbbctb. chvjlff ijvvgjvjvivcujc vidyalay Chrissy full good Zo of up b and b go in the editor and the editor and the general of words typist and I am a bit of a person to you tomorrow to you tomorrow to appeal to utha kar raha hai toto b go on vgn de un BBC d.

(8r
2
−7r−9)+(−r
2
+r)

Answers

Answer:

12r -9

Step-by-step explanation:

(8r2−7r−9)+(−r2+r)

= 16r -7r -9 +2r +r

= 12r -9

Find the value of x *
55°
X

Answers

Step-by-step explanation:

Since right angle is equal to 90°,

90°-55°=35°


A triangle is dilated with a center of dilation at the origin. Point P' is the corresponding point of the image of the dilation. Point P is at (-2,3) and P' is at
(-8,12). What is the scale factor?


Answers

The scalar factors are (4,4)

What is dilation?

Dilation is a type of transformation in which a shape or geometric figure's size is altered while maintaining its relative proportions and general shape.

Dilation is applied by the rule:

(x, y) → (kx, ky), where k is the scale factor

We have

(x, y) = (-2, 3) and (kx, ky) = (-8, 12)

Substitute and solve for k

-8 = -2k and 12 = 3k  ⇒ k = 4

So the rule is

(x, y) → (4x, 4y)

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There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?

40%
0.06%
6%
0.4%

Answers

Answer: 40% of the fruit pieces are apples

Step-by-step explanation:

[tex]\frac{6}{15}[/tex] = .4

.4 x 100% = 40%

Find an expression which represents the difference when (9x-4)is subtracted from (7x-2) in simplest terms.

Answers

The expression when (9x-4) is subtracted from (7x-2) in simplest terms is 2(1-x).

According to the question,

We have the following information:

(9x-4) is subtracted from (7x-2).

(We know that an expression written after the word from should be written first and the expression before it should be written after the sign of subtraction.)

So, we have the following expression:

(7x-2)-(9x-4)

7x-2-9x+4

(We know that the number with the same variables are added or subtracted. For example, 7x is added to -9x.)

-2x+2

Taking 2 as a common factor from these two terms:

2(-x+1)

2(1-x)

Hence, the difference of the two expressions is 2(1-x).

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Compute the probability of randomly drawing 10 cards from a deck and getting exactly 5 spades.


Enter the exact answer.

Answers

The probability of randomly drawing 10 cards from a deck and getting exactly 5 spades is 0.0468

Formula Required:

Given a set of n items, a group of k items can be chosen in any of the 'n' ways, where 'k' is the number of possibilities. The order in which the choices are made is not significant.

A typical deck of cards contains 52 cards in total. Therefore, there exist (52, 10) scenarios in which 10 cards could be chosen (without replacement) that are exhaustive, mutually exclusive, and equally likely.

Again, there are 13 spades in the entire deck of 52 cards. The remaining (10 - 5) = 5 cards can be drawn from the remaining (52 - 13) = 39 cards in the deck in (39, 5) ways, and 5 spades can be drawn from the 13 spades in (13, 5) ways.

As a result, there are (13, 5) * advantageous scenarios for choosing exactly 5 spades (39, 5)

Consequently, the necessary probability:

= Favorable number of cases for the event / Total number of all possible cases.

= (13 , 5) * (39 , 5) / (52 , 10)

(n, k) = n! / k! (n-k)!  

= 0.0468

Therefore, the probability of 5 spades will be 0.0468

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X =
y =
(3y + 2)
4x°
52°

Answers

TO GET Y I WILL USE THE REASON SUM OF ANGLES IN A TRIANGLE:

[tex]52 + 90 +( 3y + 2) = 180 \\ 52 + 90 + 2 +3 y = 180 \\ 3y = 180 - 90 - 52 - 2 \\ 3y = 36 \\ \frac{3y}{3} = \frac{36}{3} \\ y = 12[/tex]

y=12°

TO FIND X I WILL USE THE REQSON ALTERNATE ANGLES

[tex]4x = 52 \\ \frac{4x}{4} = \frac{52}{4} \\ x = 13[/tex]

x=13°

THEE ANGLES ARE INSIDE THE PARALLEL LINES :NOTE.

Solve for the value of w. * (8w+8)(9w-5)°​

Answers

The solution for the value w is 13 in the equation 8w+8 = 9w-5.

What is an angle?

Two rays, referred to as the angle's sides and vertex, come together to form an angle. Angles created by two rays are located in the plane where the rays are located.

Dihedral angles are formed when two planes intersect. The angle formed by the rays lying perpendicular to the two intersecting curves at their point of intersection can also be used to define an angle between two intersecting curves.

Angle is a term used to describe the size of an angle or of a rotation. This metric represents the proportion of a circular arc's length to radius. In the case of a geometric angle, the arc is centred at the vertex and is bound by the sides.

We know that vertical angles of intersection are equal, so here

⇒ (8w+8) = (9w-5)

⇒ 8w+8 = 9w-5

⇒ 9w - 8w = 8 + 5

⇒ w = 13

Angle measure = 8(13)+8

                          = 112°

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How do I solve with fractions? (with answers)

Answers

Answer:

The answer is r = 3

Step-by-step explanation:

Hope this helps! :))
Please let me know if its incorrect

S. SURVEY In a survey of their favorite
subjects, 390 students said math was
their favorite. One tenth as many...
students said that history was their
favorite subject. How many students
said history was their favorite?

Answers

The total number of students who participated in the survey are 100.Given to us The number of students who choose other as their favorite subject = 20 studentsMath = 30%English = 45%Let the total number of students in the survey be x.What is the percentage of students who choose other as their favorite subject?We know that percentage is always 100%, therefore,Total number of students in the survey = other + Math +English100% = other + 30% + 45%100% - 30% - 45% = otherother = 25%Thus, the percentage of students who choose another as their favorite subject is 25%.What is the total number of students who participated in the survey?We know that the number of students who choose English as their favorite subject in the surveys is 20, therefore,25% of the total number of students = 20Hence, the total number of students who participated in the survey is 100.

Select the sequence that shows the numbers in order from least to greatest.
A. √72, 321-41
5
c. 32. √72.1-41
C.
5
B. |–-41, 32 √72
32
D. √72,|-41, ³²
5

Answers

The sequence that shows the numbers in order from least to greatest is

√72 , 5,32, |-41|

What is basic algebra ?

Algebra is a branch of mathematics that helps translate real-world problems or situations into mathematical formulas. Mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z are needed to construct a valid mathematical expression. Coordinate geometry, calculus, and trigonometry are just a few of the mathematics topics that involve algebra. A simple algebraic equation is 2x + 4 = 8. Algebraic expressions are the result of performing operations on variables and constants, such as addition, subtraction, multiplication, division, etc.

√72 = 8.485

32

|-41| = 41

5

least to greatest is √72 , 5,32, |-41|

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is the number 19 a prime or composite number

Answers

Answer:

prime

Step-by-step explanation:

because 19 can only divide 1 and itself

Prime because 9 is divisible by 1

Describe the transformations to the basic function. Then, write the equation of the function.

Answers

The given function is a graph transformation of the absolute value function.

What are Function Transformations?

A function transformation "moves," "resizes," or "reflects" the parent function's graph. Function transformations are classified into three types: Translation, Dilation, and Reflection. Only dilation alters the size of the original shape; the other two transformations change the shape's position but not its size.

Step 1: Parent function y = f₁(x) = |x|

Step 2: f₁(x) is reflected (Reflection) about x-axis to form f₂(x) = -f₁(x) = -|x|

Step 3: f₂(x) is moved to left by 5 units(Horizontal translation) to form f₃(x) = f₂(x + 5) = -|x + 5|

Step 4: f₃(x) is moved up 1 unit (Vertical translation) to form f₄(x) = f₃(x) + 1 = -|x + 5| + 1

The equation of the given graph is:

y = |x + 5| +1

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Expand the brackets and simplify the
expression below.
8(3y + 2) + 4y

Answers

Answer:

28y+16

Step-by-step explanation:

8(3y+2)+4y

24y+16+4y

28y+16

The simplification of the given expression is 28y+16.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.

We are given an expression as;

8(3y+2)+4y

we need to solve the expression

First open the bracket;

24y+16+4y

Solve the like terms;

28y+16

Therefore, the simplification of the given expression is 28y+16.

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The functions f(x), g(x), and h(x) are shown below. Select the option that represents the ordering of the functions according to their average rates of change on the interval 3≤x≤7 goes from least to greates

Answers

Given

Function f(x) , g(x) and h(x)

Find

Order of the function according to average rate of change

Explanation

Average rate of change can be given by

[tex]\frac{f(b)-f(a)}{b-a}[/tex][tex]3\leq x\leq7[/tex]

for f(x)

[tex]\begin{gathered} \frac{f(7)-f(3)}{7-3} \\ \\ \frac{-10-(-8)}{4} \\ \\ -\frac{2}{4} \\ \\ -\frac{1}{2} \end{gathered}[/tex]

for g(x)

[tex]\begin{gathered} \frac{g(7)-g(3)}{7-3} \\ \\ \frac{7-(27)}{4} \\ \\ -\frac{20}{4} \\ \\ -5 \end{gathered}[/tex]

for h(x)

[tex]\begin{gathered} \frac{h(7)-h(3)}{7-3} \\ \\ \frac{60-24}{4} \\ \\ \frac{36}{4} \\ 9 \end{gathered}[/tex]

Final Answer

least to greatest = g(x) , f(x) . h(x)

correct option is 2.

Evaluate XYZ squared if x = -2, y = 7, and z= -4.

Answers

The required value of XYZ squared would be 3136 which is determined by substituting x = -2, y = 7, and z = -4.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

We have to evaluate xyz squared if x = -2, y = 7, and z = -4.

⇒ (xyz)²

Substitute the values of x = -2, y = 7, and z = -4 in the above expression

⇒ [(-2) × (7) × (-4)]²

Apply the multiplication operation and we get

⇒ (56)²

⇒ 3136

Therefore, the obtained value of XYZ squared would be 3136 if x = -2, y = 7, and z = -4.

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Write a condition Pls

Answers

The answer would be 30 meter Square

write an equation in form of y=mx+b for a line with slope =7 and y-intercept =4

Answers

The slope is defined by m and the y intercept by b

So when you replace the numbers into the equation y= mx + b

Y = 7x + 4

Which 2 of the following are correct equations of the line passing through (2, -3) with a slope of five?

y+3 = 5 (x-2)

y= 5x -3

y= 5x + 13

y-3= 5 (x+2)

y= 5x -13

Answers

Answer:

The two equations that passes through (2, -3) and has a slope of five are:

y + 3 = 5(x - 2) and y = 5x - 13

Step-by-step explanation:

For the first equation, you get y equal to itself. To do that, you need to simplify the right side of the equation. For 5(x - 2), you will distribute the 5 to the x and -2, equalling to 5x - 10. Next, we subtract 3 from both sides to cancel out the 3 on the left side. The equation is now y = 5x - 13. The -13 is the y intercept so we start at the point (0, -13). Since the slope goes up by 5 for every one point it moves to the right, it will eventually reach the point (2, -3). In other words, you add 1 to the x value and 5 to the y value. The points will look like this: it starts at (0, -13) and goes to (1, -8) and goes to (2, -3). The second equation is equivalent to the first equation. Hopefully this helps you out!

g(x)=5x+50 answer please

Answers

The answer to the linear equation g(x) = 5x+50 is plotted on the graph.

What is a linear equation?A linear equation is one in which the variable's maximum power is always one.A one-degree equation is another term for it.A linear equation in one variable takes the conventional form Ax + B = 0. x is a variable, A is a coefficient, and B is constant in this equation.

Given equation:

g(x)=5x+50

The equation can also be written as y = 5x+50.

Now, we can replace the value of x for different numbers in the given equation to get the value of y to create the coordinates.

When we put x = 0 in the equation, we get y = 0 + 50 = 50.

Similarly, if we substitute the value of x as 1 in the equation, we get y = 5(1) + 50 = 55.

If we substitute the value of x as 2, y = 5(2) + 50 = 60

If we substitute the value of x as -1 and -2, we get the value of y as,

y = 5(-1) + 50 = 45 and  y = 5(-2) + 50 = 40.

These pairs of values satisfy the linear equation and are plotted on the graph given below.

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Draw the graph of your= 2x +1

Answers

The graph of the equation y = 2x+1 has been plotted

The equation of the line is

y = 2x+1

The domain is defined as the set of all possible inputs of the function.

The range is defined as the set of all possible outputs of the function

Here the equation is y =2x+1, we have to substitute the different values for the x and find the values of y.

The values of the x will be the domain and the values of the y will be the range

At x= -2

y = 2(-2)+1

= -3

At x= -1

y = 2(-1)+1

= -1

At x= 0

y = 2(0)+1

= 1

At x=1

y = 2(1)+1

= 3

At x=2

y = 2(2)+1

= 5

Plot the graph using the values

Hence, the graph of the equation y = 2x+1 has been plotted

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What is the remainder of 5x3 - 7x² + 2x + 1 divided by (x - 3)?

A.) 126
B.) 79
C.) 203
D.) 205

Answers

Answer: A

Step-by-step explanation:

f(x)=72/x - 11
f(72)=

Answers

The answer to this equation is 72f

$m\angle U=2x\degree$ , and $m\angle V=2\left(m\angle U\right)$ . Find the value of $x$ that makes $\angle U$ and $\angle V$ complementary angles

Answers

The value of x that makes ∠U and ∠V a complement of each other is; x = 9

How to find Complementary Angles?

There are different equal angle theorems in math's such as complementary angles, supplementary angles, linear pairs e.t.c

Now, complementary angles are defined as angles that sum up to 90 degrees.

We are given that;

m∠U = 2x°

m∠V = 4m∠U = 4(2x)°

We want to find the value of x that makes ∠U and ∠V a complement of each other.

This means that by the definition of complementary angles, they will sum up to 90 degrees. Thus;

2x + 4(2x) = 90

2x + 8x = 90

10x = 90

x = 90/10

x = 9

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Complete question is;

m∠U = 2x°, and m∠V = 4m∠U. Which value of x makes ∠U and ∠V complement of each other? A. 25 B. 9 C. 36 D. 18

In ΔEFG, is it possible for segment GE to measure 6 units?

Answers

According to the triangle inequality theorem, the measure for the third side can be GE = 6 units, because: A. 3 + 5 > 6, 5 + 6 > 3, and 6 + 3 > 5.

What is the Triangle Inequality Theorem?

The triangle inequality theorem states that the set of side measurements that will form a triangle will be the set of side lengths whereby the sum of any two sides will be greater than the third side of the triangle.

For example, if a, b, and c are the side lengths of a triangle, then:

a + b > ca + c > bb + c > a

Thus, we have the given lengths:

FE = 3 units

FG = 5 units

Therefore, the third side length would be GE = 6 units based on the triangle inequality theorem because:

3 + 5 > 6

5 + 6 > 3

6 + 3 > 5

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What type of reasoning is used to find the next amount of train cars? Explain your answer.

Answers

Answer: It's using the table of 2 to continue the pattern of trains.

in the first fig the no. of carton is 0.

for the next one it is 2 and the next 4.

the pattern will thus continue with the multiplication table of 2.

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