Tanner is spray painting an arrow on the side of a building to point to the entrance of his store. The can of gold spray paint he wants to use covers up to 12 square feet. Does Tanner have enough spray paint for his arrow?
Answers
Yes, Tanner has enough spray paint for his arrow.
What is an Area?
The amount of space occupied by a flat (2-D) surface or an object's shape is known as its area. A planar figure's area is the area that its perimeter encloses. The quantity of unit squares that completely encircle the surface of a closed figure is its area. Square measurements for area include cm2 and m2.
Given : paint available in can = 12 ft²
We know that the arrow is comprised of a triangle and a rectangle.
So, the area of given arrow = area of rectangle + area of triangle
Now, area of triangle = 1/2 ×base × height
= 1/2 × 3 × (6 - 5 1/3)
= 3/2 × ( 6 - 16/3)
= 3/2 × ( 18-16)/3
= 3/2 × 2/3
= 1 ft²
Similarly, area of rectangle = length × breadth
= 5 1/3 × 2
= 16/3 × 2
= 32/3 ft²
Hence, area of arrow = area of triangle +area of rectangle
= 1 + 32/3
= 35/3 ft²
= 11.67 ft²
So, he has sufficient paint to cover the arrow.
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Related Questions
Use the suggested substitution to write the expression as a
trigonometric expression. Simplify your answer as much as possible.
Assume 0≤θ≤π2.
√9−9x2, x=cos(θ)
Answers
The expression √9−9x2 can be written as a trigonometric expression 3sin(θ) using the substitution x = cos(θ).
To write the expression as a trigonometric expression using the suggested substitution, we can substitute x = cos(θ) into the expression and simplify:
√9−9x2 = √9−9(cos(θ))^2
= √9−9(cos^2(θ))
= √9(1−cos^2(θ))
= √9(sin^2(θ))
= 3sin(θ)
Therefore, the expression √9−9x2 can be written as a trigonometric expression 3sin(θ) using the substitution x = cos(θ).
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What is the height (in inches) of a triangle with an area of 720
square inches and base of 32 inches?
Answers
The height (in inches) of a triangle with an area of 720 square inches and base of 32 inches is 45 inches.
The height of a triangle can be found using the formula for the area of a triangle: A = (1/2)bh, where A is the area, b is the base, and h is the height.
In this case, we are given the area (720 square inches) and the base (32 inches) and are asked to find the height.
First, we can plug in the given values into the formula:
720 = (1/2)(32)(h)
Next, we can simplify the equation by multiplying both sides by 2:
1440 = 32h
Finally, we can solve for the height by dividing both sides by 32:
h = 45 inches
Therefore, the height of the triangle is 45 inches.
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Help similar triangles
Answers
The value of x for the similar triangles is 57.5 units.
What is the value of x?The value of x is determined by applying the principle of similar triangles as shown below.
In the given diagram, we can assume the following for the similar triangles;
length 46 is congruent to length (16 + 46)
length 20 + x is congruent to length x
So we will have the following equation;
46/x = (16 + 46 ) / ( 20 + x )
46/x = ( 62 ) / ( 20 + x )
46 ( 20 + x ) = 62x
920 + 46x = 62x
920 = 16x
x = 920 / 16
x = 57.5
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Find the present value PV of the annuity necessary to fund the withdrawal given. HINT [See Example 3.] (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $500 per month for 15 years, if the annuity earns 6% per year PV = $
Answers
The present value PV of the annuity necessary to fund the withdrawal is $5,354.82, rounded to the nearest cent.
The present value of an annuity is calculated using the following formula:
PV = A[((1+i)n-1)/(i(1+i)n)]
where A = amount of each annuity payment, i = interest rate, and n = number of payments.
For this problem, A = $500, i = 6%, and n = 15 years.
Therefore, the present value of the annuity necessary to fund the withdrawal is:
PV = $500[((1+0.06)15-1)/(0.06(1+0.06)15)]
PV = $500[5.72982/0.105638]
PV = $5,354.82
Therefore, the present value PV of the annuity necessary to fund the withdrawal is $5,354.82, rounded to the nearest cent.
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Using the given functions: f(x)=2x^(2)-5x-3,g(x)=x-3 and h(x)=2x+5, what is the product of (g*f)(x) ? 2x^(3)+11x^(2)+18x+9 2x^(3)-z^(2)-18x+9 2x^(3)-x^(2)-12x+9
Answers
Using the given functions, the product of (g*f)(x) is 2x³ - 11x² + 12x + 9.
A relation between a set of inputs having one output each is called a function. The product of (g*f)(x) can be found by multiplying the functions f(x) and g(x) together.
Since f(x) = 2x² - 5x - 3 and g(x) = x - 3, then the product of (g*f)(x) can be solved as follows:
(g*f)(x) = g(x)*f(x) = (x - 3)(2x² - 5x - 3)
Use the distributive property:
(g*f)(x) = 2x³ - 5x² - 3x - 6x² + 15x + 9 = 2x³ - 11x² + 12x + 9.
Therefore, the correct answer is 2x³ - 11x² + 12x + 9.
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The graph of f(x)=x^2 was transformed to create g(x)=2/3x^2 Mark the statement. True or False
The graph of g(x) will be wider than f(x)
Answers
Graph of g(x) will be wider than f(x) is false.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The graph of f(x)=x² was transformed to create g(x)=2/3x².
The transformation applied to f(x) to create g(x) is a vertical compression by a factor of 2/3.
This means that the graph of g(x) will be narrower than the graph of f(x), not wider.
Specifically, the parabola of g(x) will be compressed vertically towards the x-axis by a factor of 2/3, making it more pointy than the original graph of f(x).
Hence, graph of g(x) will be wider than f(x) is false.
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The exact same experiment was conducted 15 times. How many times should the results have been similar for them to be valid?
A. 6
B. 15
C. 9
D. 8
Answers
Which description best represents the end behavior of the
function f(x)= -x + 5x³ - 2x+5?
Hint: Use the examples in the table to help you answer the
question.
Polynomial End Behavior
Equation Degree Leading Coefficient
y-x²
y=-x²
y=x³
y=-x³
Even
Even
Odd
Odd
Positive
Negative
Positive
Negative
End Behavior
x)+∞, as x-+
F(x), as x--
F(x), as x4+
x), as x--co
x) +∞, as
x-+00
x) +00, as x--
x)-00, as x-+00
Example
Answers
The correct description for best represents the end behavior of the
function f (x) = - x⁴ + 5x³ - 2x + 5 is,
⇒ The right-end is y → - ∞ as x → ∞ . The right-end is rising.
The left-end is y → - ∞ as x→ - ∞ . The left-end is falling.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x) = - x⁴ + 5x³ - 2x + 5
Now, We have;
Degree of the polynomial = 4
Hence, We get;
⇒ The right-end is y → - ∞ as x → ∞ . The right-end is rising.
The left-end is y → - ∞ as x→ - ∞ . The left-end is falling.
Thus, The correct description for best represents the end behavior of the
function f (x) = - x⁴ + 5x³ - 2x + 5 is,
⇒ The right-end is y → - ∞ as x → ∞ . The right-end is rising.
The left-end is y → - ∞ as x→ - ∞ . The left-end is falling.
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solve the system of linear equation by elimination 8x+3y=-5
3y=x+4 please show work
Answers
The solution of linear equations is (x, y) = (-0.8905, 0.708).
To solve this system of linear equations by elimination, first multiply both equations by the same number so that when you add the equations together, one of the variables is eliminated. In this case, we'll multiply the first equation by 3 and the second equation by 8.
8(8x+3y=-5)
3(3y=x+4)
24x + 9y = -15
24y = 8x + 32
Now add the two equations together:
24x + 24y = -15 + 32
24x + 24y = 17
Simplifying this equation, we get:
24y = 17
y = 17/24
y = 0.708
Now, plug in the value of y into one of the original equations to solve for x. We'll use the first equation:
8x + 3(0.708) = -5
8x + 2.124 = -5
8x = -7.124
x = -7.124/8
x = -0.8905
Therefore, the solution to the system of linear equations is (x, y) = (-0.8905, 0.708).
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I bought a toy car for $7.55, a pizza for $3.75 and a pencil for $0.75. How much money did I spend altogether?
Answers
Answer:
To find the total amount of money spent on the toy car, pizza, and pencil, we simply need to add the individual prices together:
$7.55 (toy car) + $3.75 (pizza) + $0.75 (pencil) = $12.05
Therefore, you spent $12.05 altogether on the toy car, pizza, and pencil.
On a certain route, an airline carries 9000 passengers per month, each paying $150. A market survey indicates that for each$1 decrease in the ticket price, the airline will gain 50 passengers. Express the monthly revenue for the route, R, as a function of the ticket price, x.
Answers
The monthly revenue for the route, R, as a function of the ticket price, x, can be expressed as R(x) = (9000 + 50(150 - x))x.
The airline carries 9000 passengers per month, and each pays $150, so the initial monthly revenue is R(150) = 9000 x $150 = $1,350,000.
If the ticket price is decreased by $1, the airline will gain 50 passengers, so the new monthly revenue can be calculated by adding the revenue gained from these additional passengers to the initial revenue, and subtracting the revenue lost from the decrease in ticket price. The revenue gained from the additional passengers is 50(x - $150), since each passenger pays the new ticket price x instead of $150. The revenue lost from the decrease in ticket price is 9000($150 - x), since each of the 9000 passengers pays $150 - x instead of the initial price of $150.
Putting these together, we get:
[tex]R(x) = R(150) + 50(x - $150) - 9000($150 - x)[/tex]
R(x) = (9000 x $150) + 50x - 50($150) - 9000($150) + 9000x[tex]R(x) = R(150) + 50(x - $150) - 9000($150 - x)[/tex]
[tex]R(x) = (9000 + 50(150 - x))x[/tex]
Thus, the monthly revenue for the route, R, as a function of the ticket price, x, is [tex]R(x) = (9000 + 50(150 - x))x[/tex]
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What is the difference of the LCM and GCF of 30 and 55?
Answers
Answer:
The difference between the LCM and the GCF of 30 and 55 are that the LCM is the smallest positive integer that is divisible and the GCF is the largest positive integer that divides each of the integers.
Step-by-step explanation:
Convert the following angles measures to degrees or radius.
Answers
Answer:
a) [tex]\frac{2\pi }{3}[/tex]
b) 330
Work:
a) To convert degrees to radians you multiply by [tex]\frac{\pi }{180}[/tex]
[tex]\frac{120}{1}[/tex] x [tex]\frac{\pi }{180}[/tex]
= [tex]\frac{6}{1}[/tex] x [tex]\frac{\pi }{9}[/tex]
= [tex]\frac{2\pi }{3}[/tex]
b) To convert radians to degrees you multiply by [tex]\frac{180}{\pi }[/tex]
[tex]\frac{11\pi }{6}[/tex] x [tex]\frac{180}{\pi }[/tex]
= [tex]\frac{11}{1}[/tex] x [tex]\frac{30}{1}[/tex]
= 330
Question
Gerard worked the same number of hours, x, on Monday, Tuesday, and Wednesday, but on Thursday, he worked 5 hours less than the previous day. The total number of hours Gerard worked can be found using the expression, 4x−5 .
What does the "4" represent in the expression, 4x−5 ?
--------------------------------------------------------------------------------
the number of hours Gerard worked on Thursday
the number of hours Gerard worked each day
the total number of hours Gerard worked
the number of days Gerard worked
Answers
The number "4" in the expression 4x - 5 represent the number of days Gerard worked.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.
Gerard worked the same number of hours, x, on Monday, Tuesday, and Wednesday, but on Thursday, he worked 5 hours less than the previous day.
The total number of hours Gerard worked can be found using the expression, 4x − 5
Hence:
The number "4" in the expression 4x - 5 represent the number of days Gerard worked which is Monday, Tuesday, and Wednesday and Thursday
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Apply the Empirical RuleA 3-column table has 1 row. The first column is labeled Age with entry 7 years. The second column is labeled Mean with entry 49 inches. The third column is labeled Standard Deviation with entry 2 inches. According to the empirical rule, 68% of 7-year-old children are between inches and inches tall.
Answers
The empirical norm therefore states that 68% of 7-year-old kids are between 47 and 51 inches tall.
What does a table column mean?A column in a table is a collection of cells which are arranged vertically. A field, like the received field, is a sort of element that contains only one item of data. A column in a table usually contains the values for just a single field.
The empirical rule states that in a normal distribution, 68% of the data fall within one average standard deviation. In this instance, the mean difference is 2 inches, while the average height of 7-year-old kids is 49 inches.
We must identify the range among heights that is within one average standard deviation in order to apply the scientific rule. To accomplish this, we can add and subtract the standard variance from the median as follows:
Mean ± (Standard Deviation) = 49 ± 2
As a result, the height range which falls within the standard deviation from the average is between 47 and 51 inches.
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Asanji wants to buy a wagon for $93.26. He gives the cashier $100. How much change does he receive?
Answers
Answer:
6.74
Step-by-step explanation:
100 - 93.26
Answer:
$6.74
Step-by-step explanation:
100.00 - 93.26 = 6.74
Helping in the name of Jesus.
Karen used 186 digits to number a book from page 4 to the end. What is the number of the last page?
Answers
Answer:
Step-by-step explanation:
its 190 because you started on page 4 and you add 186
Evaluate log3 3^(2x+1)
Answers
[tex]\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{let's use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_3(3^{2x+1})\implies 2x+1[/tex]
Evaluate 5d - 25/5 if d = 8
Answers
Answer:
=35
Step-by-step explanation:
5d - 25/5
5(8) -25/5
40 - 5
=35
Answer:
the answer is 35
Step-by-step explanation:
d=8, therefore plug 8 into the equation
5d - [tex]\frac{25}{5}[/tex]
5(8)- [tex]\frac{25}{5}[/tex]
40-5
35
You randomly draw a marble from a bag, record its color, and then replace it. You draw a blue marble 23 out of 25 times. What is the experimental probability that the next marble will be blue? Write your answer as a fraction, decimal, or percent.
Answers
The next marble's experimental probability of being blue, according to an experiment, is: 23/25.
Explain about the experimental probability?Based on empirical data, experimental probability is the likelihood that an event will occur. A theoretical probability would be obtained by dividing the number of different ways to achieve the desired result by the total number of outcomes.
A marble is drawn at random from a bag, its colour is noted, and it is then replaced.In 23 of the 25 draws, a blue marble is produced.The next marble's likelihood of being blue, according to an experiment, is:
Experimental probability = Number of time blue appears / Total outcomes
Experimental probability = 23/25
Thus, the next marble's experimental probability of being blue, according to an experiment, is: 23/25.
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log2(9x^10/y²)
Can someone explain it step by step?
Answers
Answer:
We can use the properties of logarithms to simplify this expression:
log2(9x^10/y²) = log2(9) + log2(x^10) - log2(y²)
Now we can apply the power rule of logarithms to the second term:
log2(x^10) = 10 log2(x)
Substituting back into the original expression:
log2(9x^10/y²) = log2(9) + 10 log2(x) - log2(y²)
This is the simplified form of the expression.
Looking at the bookshelf in the library Neil notices that the number of books that he
has read is
7
of the books he did not read. If he reads one more book from the
bookshelf and puts it back this fraction becomes 1. How many books are there on
the bookshelf?
6
Answers
There are 14 books on the bookshelf as a result.
How was the number of books on the shelf determined?Assume that there are x total books on the bookshelf. Neil has read 7 out of a total of 7 + (x-7) = x-0 books, which means that he has read 7/14 of the books, according to the problem. This is reduced to 1/2.
Now that he has read 8 out of 15 books, his percentage of books read will be 8/15 if he reads one more (the original 7 books he read plus the one he read now). This implies:
8/15 = 8/(x+1)
In order to find x, we can cross-multiply:
8(x+1) = 15(8) (8)
8x + 8 = 120
8x = 112
x = 14
There are 14 books on the bookshelf as a result.
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In a direct variation, the variable k is the ?
Answers
Answer: slope of the line
Step-by-step explanation: I'm not sure if we're talking about the same thing though
Answer: The slope (stands in for m)
Step-by-step explanation:
In a direct variation, the variable m (slope) is swapped for k.
the two triangles in the diagram are similar there are 2 possible values for x
Answers
The possible values of x are 2 and 17
How to determine the possible values of xThe complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
Similar triangles
In the triangles, we have the following possible equations
15/18 = 10/(10 + x)
10/18 = 15/(10 + x)
Solving the equations, we have
15/18 = 10/(10 + x)
150 + 15x = 180
15x = 30
x = 2
10/18 = 15/(10 + x)
100 + 10x = 270
10x = 170
x =17
Hence, the values of x are 2 and 17
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Complete Question
The two triangles in the diagram are similar there are 2 possible values for x
See attachment for image of the triangle
9. A box contains three blue bulbs, four green bulbs and five red bulbs. Four bulbs taken out of the box at random and without replacements. What is the probability that: (1) are the first two are of the same colour and the last two are of different colours.
Answers
The probability that the first two bulbs are of the same colour and the last two are of different colours is 25/48.
The probability that the first two bulbs are of the same colour and the last two are of different colours is calculated as follows:
Given:
n(B) = 3 (Number of blue bulbs)
n(G) = 4 (Number of green bulbs)
n(R) = 5 (Number of red bulbs)
Formula: P(A) = n(A) / n(S)
Where,
P(A) = Probability of event A
n(A) = Number of favorable outcomes
n(S) = Number of possible outcomes
The probability of selecting two bulbs of the same colour is calculated as:
P(SS) = n(B) * n(B) / n(S)
= 3 * 3 / 12
= 1/4
The probability of selecting two bulbs of different colour is calculated as:
P(DD) = n(B) * n(G) * n(R) * n(R) / n(S)
= 3 * 4 * 5 * 5 / 12
= 25/12
Therefore, the required probability is calculated as:
P(SSDD) = P(SS) * P(DD)
= 1/4 * 25/12
= 25/48
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The equations y1 = 2x + 1 and intersect at a point. After three cycles of successive approximation, without rounding the answers, the approximate x-value of the point of intersection is
Answers
The intersection point on the graph has an approximate x-value of 1a.
Describe graphs?Making the curve that represents a function on a coordinate plane is the process of graphing a function. If the curve (or graph) represents the function, then each point on the curve will satisfy the function equation.
The line, also called the "curve," has a point at each point that fulfils the function.
The three lines are contemporaneous if they all cross at the same point.
From the second equation,
x = 8y + 19
Putting value of x,
2(8y + 19) + 3y = 0 9(8y + 19) + 5y = 17
16y + 38 + 3y = 0 72y + 171 + 5y = 17
19y = -38 77y = -154
y = -2 y = -2
You'll see that the y value for the answer is the same for the two equations. Simply evaluate the second equation now to find x. Hence, we are aware that the y-coordinate is negative two at some x number.
x = 8(-2) + 19
x = -16 + 19
x = 3
The single point that these three equations share is (3, -2).
4x - 3y = 13 eq1
-6x + 2y = -7 eq2
Use the elimination method. Multiply eq1 by eq2 and multiply eq2 by eq3.
8x - 6y = 26 eq1
-18 + 6y = -21 eq2
Adding the equations to eliminate the y terms.
-10x = 5
x = -1/2
Substituting this value of x into any of the equations to solve for the value of y.
Substituting the first equation into the second equation. In terms of x, this will translate the second equation. From that freshly created equation, find x. Once you solved for x, substitute that value of x into the first equation to solve for y.
You have a vertical line that passes all points that have the x coordinate 7 and you have a horizontal line that passes all point that have the y coordinate -5.
If you were to graph these two lines, they will be intersecting at (7, -5).
Now, draw the following lines on a coordinate system:
i) A vertical line passing through the points (3, 0).
ii) A horizontal line passing through the point (0, 6).
iii) A line passing through the points (0,0) and (1, -3).
Once you have drawn these lines, look for 3 points of intersection.
Area = (base × height) / 2
Lines that have the same slope never intersect. Put both equations in y=mx+b form where the slope is the coefficient of x.
2x + 3y = > 3y = -2x + 23
y = (-2 / 3) x + 23/3
7x + py = 8
py = -7x + 8
y = (-7 / p) x + 8/p
Set the slopes equal to each other.
-2 / 3 = -7 / p
Cross-multiply.
-2p = -21
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Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. 18 x minus 15 = 72 50 x minus 25 = 72 18 x minus 9 = 72 3 (6 x minus 3) = 72 x = 4.5
Answers
The three equations that have the same value of x as the original equation are:
18x - 15 = 72
3(6x - 3) = 72
x = 4.5
What is an equation?
An equation is a statement that two expressions are equal. It typically contains one or more variables (represented by letters) and mathematical operations such as addition, subtraction, multiplication, and division. Equations can be used to represent relationships between quantities or to solve for unknown values.
The correct options are:
18x - 15 = 72
18x - 9 = 72
x = 4.5
To see why, we can start by simplifying the original equation:
Three-fifths (30x - 15) = 72
(3/5)(30x - 15) = 72
18x - 9 = 72
18x - 15 = 72 + 15
18x = 87
x = 87/18
So we see that x = 87/18 is the solution to the original equation.
Now let's check each of the answer choices:
18x - 15 = 72
Solving for x, we get x = 87/18, which is the same as the solution to the original equation. This equation is equivalent to the original equation.
50x - 25 = 72
Solving for x, we get x = 97/50, which is not the same as the solution to the original equation. This equation is not equivalent to the original equation.
18x - 9 = 72
Solving for x, we get x = 81/18 = 9/2, which is not the same as the solution to the original equation. This equation is not equivalent to the original equation.
3(6x - 3) = 72
Simplifying, we get 18x - 9 = 72, which is equivalent to the second equation listed above. So this equation is also equivalent to the original equation.
x = 4.5
This is the same solution as the original equation, so this equation is also equivalent to the original equation.
Therefore, the three equations that have the same value of x as the original equation are:
18x - 15 = 72
3(6x - 3) = 72
x = 4.5
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An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 9 inches, and the length of the base is 7 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch. Thanks!!!
Answers
Answer:
26.3 inchesStep-by-step explanation:
We separate into 2 congruent triangles. Both have a base of 3.5 and a height of 9 inches. Using pythagoran theorum, we will square 9 and 3.5
81 and 12.25
Add them up and it's 93.25
[tex]\sqrt{93.25}[/tex]=9.65660395791
Now since it's isosceles, the other side will also be 9.65660395791.
9.65660395791 + 9.65660395791 + 7 =26.3132079158
You want it rounded to the nearest tenth, so 26.3
Look for a pattern in the table. Find the missing addends and sums
Answers
Looking at the table, we can see that the addends follow a pattern where each subsequent pair of addends adds up to 1/5. Specifically, the missing addend is 2/5 - 3/10, which equals 1/10. The missing sums are 1/2 and 4/10.
The addends in the table are as follows:
1/10 + 1/5 = 3/10, 1/5 + 1/5 = 2/5
3/10 + 1/5 = 1/2
We can observe that the first two pairs of addends add up to 1/5 less than the subsequent sums. This pattern indicates that the missing addend must be
1/5 - 1/10 = 1/10
which would make the third pair of addends add up to
1/2 - 1/10 = 4/10
Therefore, the missing sums are 1/2 and 4/10, respectively. This pattern can be helpful in solving similar problems where pairs of addends add up to a specific sum or difference.
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Pls solve asap helpppppppp please immediately it due soon
Answers
The number of squares wide needed is 7 squares and the number that can be used to replace A is 0.1 km.
What are Grid squares:Grid squares are a way to represent two-dimensional space using a grid of squares, with each square representing a unit of length.
Grid squares are often used in various fields, such as computer graphics, geographic information systems, and mathematics, to represent and manipulate two-dimensional data.
Here we have
The table shows the distance traveled in a time period
The maximum time is shown in a table = 35 minutes
Let 1 unit = 5 minutes
Number of squares used to represent 35 minutes = 35/5 = 7
Therefore, the number of squares wide needs = 7 blocks
Given that the grid is 20 squares tall
The maximum distance in a table = 1.8 km
Let's take the total distance = 2 km
The number of squares along length = 2 km/20 = 0.1
Therefore,
The number of squares wide needed is 7 squares and the number that can be used to replace A is 0.1 km.
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