Answer:
x = 18.255
Step-by-step explanation:
Because this is a right triangle, we can find x using one of the trigonometric ratios.When the 41° angle is our reference angle:
the x units side is the opposite side, and the 21 units side is the adjacent side.Thus, we can use the tangent ratio, which is:
tan (θ) = opposite / adjacent.
We can plug in 41 for θ and x for the opposite side:
tan (41) = x / 21
21 * tan(41) = x
18.25502149 = x
18.255 = x
Thus, x is about 18.255 units long.
If you want to round more or less, feel free to (e.g., you may want to round to the nearest whole number, which is 18 or the the nearest tenth, which is 18.3)
The times for Erin’s five laps around the track were 56.6 seconds, 57.9 seconds, 57.5 seconds, 65.3 seconds, and 65.7 seconds. Using rounding to the nearest whole second as the only estimation technique, what is the total estimated time for Erin’s five laps in seconds?
300
303
304
320
Answer:
the correct answer should be c, 304
Answer:
c or 304
Step-by-step explanation:
i took the quiz on edge
which of the following statistics determines whether there are differences between two nominally scaled variables?
The chi-square statistic is used to determine whether there are differences between two nominally scaled variables. Chi-Square is a statistical test used to compare two nominal variables to determine whether they differ.
The Chi-Square test is used to test for differences between two groups. When you want to compare groups or examine the relationship between two variables, this test is useful. The chi-square test is a method of statistical inference that can be used to compare observed frequencies with expected frequencies, allowing us to determine whether there is a meaningful difference between them. When the p-value obtained from a chi-square test is less than 0.05, it is generally considered statistically significant.
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Can somebody plz help answer all the (adding integers) questions!!! That would be amazing :D only answer if u remmeber.
(Grade7math) WILL MARK BRAINLIEST :D
Answer:
5. 7+3=10
6. 5+-2=3
7. -3+6=3
8. -6+1=-5
9. 4+-5=-1
10.6+-9=-3
11. 8+-13=-5
12.-10+3=-7
Answer:
(+7)+ (+3)
==+10
(+5)+(_2)
=+3
(_3)+(+6)
=+3
(_6)+(+1)
=_5
(+4)+(_5)
=_1
(+6)+(_9)
=_3
(+8)+(_13)
=_5
(_10)+(+3)
=_7
Given the following quadrilateral ABCD, prove that it is a parallelogram by proving one pair of opposite sides is both congruent and parallel.
< Previous
-3
A
-2
-1
e
2
0
O.
B
2
It is proven that the pair of opposite sides are equal and parallel and as such the quadrilateral ABCD is a parallelogram.
How to prove the Parallelogram?Given: A quadrilateral ABCD in a graph.
To Prove: ABCD is a parallelogram.
A diagonal AC will divide it into 2 triangles ACD and ACB .
Proof:
From the figure, we see that the sides AB and CD are 4 cm each.
Thus: AB = DC ...(i)
The angles <BAC and <ACD are alternate interior angles since AB=CD and AB || CD. Thus:
<BAC = <ACD …(ii)
It can also be deduced that the triangles ACD and ACB have a common base AC.
Thus, by reflexive property of congruence:
AC = AC …(iii)
From equations i, ii, and iii, ΔACB ≅ ΔACD (Congruent) by SAS congruence.
Thus, the pair of opposite sides AD and BC are equal due to their congruence. Hence, if the BD diagonal is constructed, it can be proven that the triangles BDA and BDC in a similar way.
Hence it is proven that the pair of opposite sides are equal and parallel. (Sides cannot be congruent, only triangles can). So, the quadrilateral ABCD is a parallelogram.
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Answer the following answer
As per given data of at least 48inches height is required to ride in amusement park , Michael is 42 inches tall and grow 1/2 in. every month then total months after which Michael can ride is 12 months.
As given in the question,
Minimum height require to ride in amusement park = at least 48 inches
Present height of Michael is 42 inches tall
Increase in height every month 1/2 inch.
Let 'm' months taken by Michael to ride in amusement park.
Required equation is:
48 = 42 + (1/2)m
⇒(1/2)m = 48 -42
⇒ m = 6×2
⇒ m =12 months
Therefore, for the given data of at least 48inches height is required to ride in amusement park , Michael is 42 inches tall and grow 1/2 in. every month then total months after which Michael can ride is 12 months.
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4. There are major chords built on what three notes (with all white notes and no accidentals)? O CFG O ABC GEB OCDE
The three major chords built on white notes without accidentals are:
1. C major chord (C, E, G)
2. F major chord (F, A, C)
3. G major chord (G, B, D)
These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.
Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.
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You want to construct an open-top box that is 6 inches deep, with a square base. It must have a volume of 864 cubic inches. You have one big piece of cardboard. You will start by cutting it down to a square, and then you will cut smaller squares out of each corner and fold up the sides.
The statements that are true are the volume of the box is v = lwh = 864 in³ and the volume can be expressed in an equation as v = 6x² = 864in³
Volume of a SquareThe volume of a square box is equal to the cube of the length of the side of the square box. The formula for the volume is V = l³, where "l" is the length of the side of the square box.
In the given problem, the volume of the box is 864 cubic inches.
However, we have to remember that the box isn't a square, but rather the base has a square shape.
The volume of the figure is
v = l * w * h
l = lengthw = widthh = heightIf we divide the volume by the height, we will have the area of the figure
Area = volume / height
Area = 864 / 6
Area = 144 square inches
Since the base has a square shape;
A = l²
144 = l²
l = √144
l = 12 in
The side length is 12 inches.
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Solve 12x + 6 = 102 ?????????????????
Answer:
12x =102-6
x=96/12
x=8 is the correct answer
Answer:
Answer is x=8.
Step-by-step explanation:
12x+6=102
12x+6-6=102-6
12x=96
12x/12=96/12
x=8
I hope it's helpful!
A rectangular field is 62 meters long and 48 meters wide. Diane estimates the length of the field to be 60 meters and
the width to be 45 meters. What is the percent error of Diane's estimated area measurement? Round your answer to
the nearest whole percent.
PLEASEEEEE SOMONE ANSWER THIS LIKE NOW
The percent error of Diane's estimated area measurement is 9%.
To find the percent error, we first calculate the actual area of the rectangular field:
Actual area = length × width = 62 × 48 = 2,976 square metersNext, we calculate the estimated area based on Diane's measurements:
Estimated area = estimated length × estimated width = 60 × 45 = 2,700 square metersThe absolute error is the difference between the actual and estimated areas:
Absolute error = |Actual area - Estimated area| = |2,976 - 2,700| = 276 square metersThe percent error is the absolute error divided by the actual area, multiplied by 100%:
Percent error = (Absolute error / Actual area) × 100% = (276 / 2,976) × 100% = 0.092 × 100% = 9%
Therefore, the percent error of Diane's estimated area measurement is 9% to the nearest whole percent.
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Atheme park has a ride that is located in a cylinder with a height of 10 yards. The ride goes around the outside of the cylinder, which has a circumference of 516.35 yards. What is the surface area of
the cylinder? Estimate to the nearest hundredth, using 3.14 for x Apply the formula for surface area of a cylinder SA=28+Ph.
Click the icon to view the theme park ride.
The surface area of the cylinder is about yo
(Type an integer or decimal rounded to the nearest hundredth as needed)
m
Answer:
Step-by-step explanation:Rounding to the nearest hundredth, the surface area of the cylinder is approximately 11,664.70 square yards.How to find the surface area?The surface area of a cylinder can be found using the formula:where r is the radius of the base of the cylinder, h is the height of the cylinder, and is approximately 3.14.Since the ride goes around the outside of the cylinder, its circumference is equal to 2r. We are given that the circumference of the cylinder is 514.92 yards, so we can solve for the radius: = 514.92r = 514.92 / (2) ≈ 82.01Therefore, the radius of the cylinder is approximately 82.01 yards.Now we can use the formula for surface area:SA = SA = SA ≈ 11,664.70Rounding to the nearest hundredth, the surface area of the cylinder is approximately 11,664.70 square yards.
Step-by-step explanation:
Sorry if i'm wrong :'(
find the area of the Shaded region in square centimeters
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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Kevin was playing a basketball game in the arcade.
He made 15 shots and missed 25 shots. What is the
percentage of shots Kevin made in the game?
Answer:
60%
Step-by-step explanation:
Answer:
60% is the correct answer.
starting in the year 2012, the number of speeding tickets issued each year in middletown is predicted to grow according to an exponential growth model. during the year 2012, middletown issued 190 speeding tickets ( ). every year thereafter, the number of speeding tickets issued is predicted to grow by 10%. if denotes the predicted number of speeding tickets during the year , then write the recursive formula for
The recursive formula for the predicted number of speeding tickets issued each year in Middletown, starting from 2012 with an initial count of 190 tickets and growing by 10% each year, can be written as follows: N(year) = 1.1 * N(year - 1).
The recursive formula for the predicted number of speeding tickets each year is based on the assumption of exponential growth, where the number of tickets issued increases by 10% each year.
Let's denote N(year) as the predicted number of speeding tickets during a particular year. According to the given information, in the year 2012, Middletown issued 190 speeding tickets, which serves as our initial count or base case.
To calculate the number of tickets in subsequent years, we multiply the previous year's count by 1.1, representing a 10% increase. Therefore, the recursive formula for the predicted number of speeding tickets is:
N(year) = 1.1 * N(year - 1).
Using this formula, we can determine the predicted number of speeding tickets for any given year by recursively applying the growth rate of 10% to the previous year's count.
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13. At the local zoo, the aquarium can be seen from the
Reptile Room and the Amphibian Arena. What is the
total area of both rooms and the aquarium?
Which row of the table reveals the x-intercept of function f?
The row of the table that reveals the x-intercept of the function f is given as follows:
Second row.
What are the intercepts of a function?A function has two intercepts, which are listed as follows:
x-intercept.y-intercept.The definition of each type of intercept is given as follows:
x-intercept: values of x when y = 0.y-intercept: value of y when x = 0.From the second row of the table, we have that when x = -4, f(x) = 0, hence the x-intercept of the function is of x = -4.
The y-intercept is of y = -16, as from the fourth row, when x = 0, y assumes a value of 16.
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Factor the polynomial expression x^4 + x^2 − 20.
The factors of polynomial expression x^4 + x^2 − 20 is \((x - \sqrt{5})(x + \sqrt{5})(x - i \sqrt{5})(x + i \sqrt{5})$\).
We are given that;
The polynomial expression =\(x^4 + x^2 − 20.\)
Now,
To factor a polynomial expression, we need to find the common factors of each term and then use the distributive property to write the expression as a product of two or more factors.
For example,\(x^4 + x^2 − 20\) can be written as:
\($x^4 + x^2 - 20 = x^2(x^2 + 1) - 20$\)
We can use the difference of squares formula to factor x^2 + 1 and 20:
\($x^2 + 1 = (x + i)(x - i)20 = (2 \sqrt{5})(2 \sqrt{5})\)
where i is the imaginary unit such that i^2 = -1. Now, we can write the expression as:
\($x^4 + x^2 - 20 = x^2(x + i)(x - i) - (2 \sqrt{5})(2 \sqrt{5})$\)
We can use the difference of squares formula again to factor the whole expression:
\($x^4 + x^2 - 20 = (x^2 - 2 \sqrt{5})(x^2 + 2 \sqrt{5})$\)
we can still factor each factor further into prime factors. We have:
\(x^2 - 2 \sqrt{5} = (x - \sqrt{5})(x + \sqrt{5})$\\$x^2 + 2 \sqrt{5} = (x - i \sqrt{5})(x + i \sqrt{5})\)
Therefore, by factorization answer will be \((x - \sqrt{5})(x + \sqrt{5})(x - i \sqrt{5})(x + i \sqrt{5})$\)
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Problem 1. Tara and Mark have a joint checking account. Their balance at the beginning of
the month was $6,735.95. During the month they made $2,040.36 in deposits, wrote checks
totaling $3,953.41, paid a maintenance fee of $30, and earned $19.32 in interest on the
account. What was the balance at the end of the month?
The balance at the end of the month is $4182.22
Given,
Balance at the beginning of the month =$6735.95
Deposits during the month =$2040.36
Wrote checks during the month =$3953.41
charged maintenance fee =30$
Interest earned = $19.32
Balance at the end of the month can be calculated by adding interest earned and deposits to the balance at beginning of month and subtracting checks, maintenance fee from it.
Balance at the end of the month,
6735.95 + 2040.36 - 3953.41 - 30 + 19.32
=4182.22
Thus, the balance at the end of the month is $4182.22
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3
) Find the product.
4/5 x3
Answer:
12/5
Step-by-step explanation:
4/5 x 3 = (4 x 3)/5 = 12/5 (2 and 2 fifths)
Answer:
12/5Simplified:
2 2/5.Step-by-step explanation:
Given equation:
3 * 4/5Multiply ONLY the numerator with the whole number to get the answer:
3 * 4/5 = 12/5Simplify:
2 2/5.Drag the expressions to the correct functions. Not all expressions will be used.
Consider the functions fand g.
= 4x² + 1
g(x) =
Perform the function compositions:
x² - 3
The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).
Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3
The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and
(g o f)(x) = 16x⁴ + 8x² - 2.
What is composition function?The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.
Given:
f(x) = 4x² + 1 and g(x) = x² - 3
a) (f o g)(x) = f[g(x)]
f[g(x)] = 4(x² - 3)² + 1
substitute the value of g(x) in the above equation, and we get
= 4(x⁴ - 24x + 9) + 1
simplifying the above equation
= 4x⁴ - 96x + 36 + 1
= 4x⁴ - 96x + 37
(f o g)(x) = 4x⁴ - 96x + 37
b) (g o f)(x) = g[f(x)]
substitute the value of g(x) in the above equation, and we get
g[f(x)] = (4x² + 1)²- 3
= 16x⁴ + 8x² + 1 - 3
simplifying the above equation
= 16x⁴ + 8x² - 2
(g o f)(x) = 16x⁴ + 8x² - 2.
Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and
(g o f)(x) = 16x⁴ + 8x² - 2.
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The question is in the screenshot. Please help me answer question 67.
Given data:
The list and the measurment of ingredients used to make 16 brownies is as follows.
Butter = 2/3 cups.
unsweetended choclolate = 5 ounces.
sugar = 1 1/2
vanilla = 2 tablespoons.
egg = 2
flour = 1 cup
to find the recipe, ingredients used to make 8 brownies.
Reduce the measure by half,. that is dividing it by 2.
thus,
Butter =1/3
unsweetended choclolate= 2.5 ounces
sugar = 3/4 cup
vanilla = 1 tablespoon.
egg =1
flour= 1/2 cup.
A local restaurant serves breakfast. They use 124 cups of pancake mix every hour. It takes 1/4 cups of mix to make one pancake. The pancakes are all equal in size.
About how many pancakes can the restaurant make in two hours?
The restaurant can make 992 pancakes in 2 hours
Given
The restaurant uses 124 cups every hour
Each cup can be used to make 4 pan cakes.
Since 1/4 cups of mix can make one pancake.
All the pancakes are in equal size
Since 4 pancakes can be made from one cup of mix
The restaurant uses 124 cups of mix which means
For an hour the restaurant produces 4 x 124 pancakes Which is equal to 496 pancakes
In two hours The restaurant can make double that of one hour
Hence 496 x 2
992
The restaurant can make 992 pancakes in two hours
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There are 42 runners in a race. How many different ways can the runners finish first, second, and third?
Answer:
There are 68,640 different ways the runners can finish first, second, and third in the race.
Concept of Permutations
The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.
Brief Overview
Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.
Calculations
To calculate the total number of different ways, we multiply the number of choices for each position:
42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.
Concluding Sentence
Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.
what is 127kg to lbs
Answer:
279.987
Step-by-step explanation:
Answer:
279.987073 lbs
Step-by-step explanation:
1 kg = 2.20462262 lbs
2.20462262 * 127 = 279.987073
A salesperson contacts eight potential customers per day. From past experience, we know that the probability of a potential customer making a purchase is 0.10. a. What is the probability the salesperson will make exactly two sales in a day? b. What is the probability the salesperson will make at least two sales in a day? c. What is the expected number of sales per day?
The probability that the salesperson will make exactly two sales in a day is 0.1489, the probability that the salesperson will make at least two sales in a day is 0.1451, and the expected number of sales per day is 0.8.
Let X be the number of sales made per day by the salesperson.
Then X follows a binomial distribution with parameters n = 8 and p = 0.10.a. To find the probability that the salesperson will make exactly two sales in a day, we need to find P(X = 2).
P(X = 2) = nCx * p^x * q^(n-x) = 8C2 * (0.10)^2 * (0.90)^6 = 28 * 0.01 * 0.5314 = 0.1489
Therefore, the probability that the salesperson will make exactly two sales in a day is 0.1489.
b. To find the probability that the salesperson will make at least two sales in a day, we need to find P(X ≥ 2).
P(X ≥ 2) = 1 - P(X < 2) = 1 - [P(X = 0) + P(X = 1)] = 1 - [(8C0 * (0.10)^0 * (0.90)^8) + (8C1 * (0.10)^1 * (0.90)^7)] = 1 - [1 * 0.90^8 + 8 * 0.10 * 0.90^7] = 0.1451
Therefore, the probability that the salesperson will make at least two sales in a day is 0.1451.
c. Expected number of sales per day = E(X) = n * p = 8 * 0.10 = 0.8
Therefore, the expected number of sales per day is 0.8.
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The following financial information was taken from the books of Zone Health Club, a small spa and fitness club:
Account balances as of December 31, 2016
Accounts Receivable
$12450.00
Accounts Payable
6200.00
Salaries Payable
3150.00
Cash
36750.00
Dividends
2000.00
Operating Expenses
35300.00
Prepaid Rent
1200.00
Rent Expense
8400.00
Retained Earnings 1/1/2016
41250.00
Salaries Expense
14500.00
Service Revenue
65400.00
Supplies
650.00
Supplies Expense
3150.00
Common Stock
7000.00
Unearned Revenue
6400.00
Land
15000.00
Prepare the journal entries necessary to close the temporary accounts at December 31, 2016 for Zone Health Club.
What is the balance in the Retained Earnings account after the closing entries are posted?
December 31, 2016, involve transferring temporary account balances to the Retained Earnings account. The balance in the Retained Earnings account after the closing entries are posted is $49,550.
Closing entries are made at the end of an accounting period to transfer balances from temporary accounts (such as revenues, expenses, and dividends) to the permanent Retained Earnings account. The journal entries to close the temporary accounts for Zone Health Club are as follows:
Close Revenue and Expense accounts:
Debit Service Revenue for $65,400
Credit Salaries Expense for $14,500
Credit Rent Expense for $8,400
Credit Supplies Expense for $3,150
Credit Operating Expenses for $35,300
Close Dividends account:
Debit Retained Earnings for $2,000
Credit Dividends for $2,000
Close Income Summary account (Net Income):
Debit Income Summary for $67,500
Credit Service Revenue for $65,400
Credit Salaries Expense for $14,500
Credit Rent Expense for $8,400
Credit Supplies Expense for $3,150
Credit Operating Expenses for $35,300
After posting the closing entries, the balance in the Retained Earnings account will be the sum of the opening balance ($41,250), the net income ($67,500), and the dividends ($2,000), resulting in a final balance of $49,550. Retained Earnings represents the accumulated profits or losses of the company from its inception.
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Heyyy a homie need some help right nowwwwwww
Answer:
I think it´s D
What is the solution to the equation 5x + 2(x − 4) = 5x + x − 10? (1 point) a 3 b 2 c −2 d −3
Answer: C= -2
Step-by-step explanation:
Answer:
C. -2
Step-by-step explanation:
5x + 2(x − 4) = 5x + x − 10
Subtract 5 from both sides,
5x + 2(x - 4) - 5x = 5x + x - 10 - 5x
Simplify,
2(x - 4) = x - 10
Distribute,
2x - 8 = x - 10
Add 8 to both sides,
2x - 8 + 8 = x - 10 + 8
Simplify,
2x = x - 2
Subtract x from both sides,
2x - x = x - 2 - x
Simplify,
x = -2
What is the answer 16, 10, 64, 46
Answer:
64
Step-by-step explanation:
Calculate 8 to the power of 2 and get 64.
8 x 8 = 64
2 is how many times you are going to multiply 8.
Hope it helps and have great day! =D
~sunshine~
2. Alin ang mas mabigat, isang kilong pako o isang libong
gramo ng bigas?
Answer:
Isang Kilong Pako
Step-by-step explanation:
Ang pako po ay metal at ang bigas po ay grain lang kung ikukumpara mo sa isang butil ng bigas at pako, diba pako po ang mas mabigat, kung isang kilo pa po ehh mas mabigat na po iyon kaysa sa bigas.
Thank you Please mark as Brainliest :>