Im sorry I need help on this to

Im Sorry I Need Help On This To

Answers

Answer 1

The third piece length is 0.81m

Step-by-step explanation:

Main length=5m

First length=2.34m

second length=1.85m

Third length=?

3rd length= main length-( 1st length + 2nd length)

=5m-(2.34m+1.85m)

=5m-4.19m

=0.81m


Related Questions

Math homework help please

Math homework help please

Answers

Answer:

answer is D

Step-by-step explanation:

(2^3)^-2= 2^(3)*(-2)
             = 2^-6
             = 1/2^6
             = 1/64

     

The expressions (a), (d), (e) and (f) have values less 1.

What are expressions?

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Solving each expression :-

1) 4¹¹ / 4¹⁴        

= 4¹¹ × 4⁻¹⁴

= (4)¹¹⁻¹⁴

= 4⁻³

= 1 / 4³

2) (3⁵)² / 3⁸

= 3¹⁰ / 3⁸

= 3¹⁰⁻⁸

= 3²

= 9

3) 4⁻¹ × 4⁵

= 4⁻¹⁺5

= 4⁴

= 64

4) (2³)⁻²

= 2⁻⁶

= 1 / 2⁶

5) (5⁴)² x 5⁻¹¹

= 5⁸ x 5⁻¹¹

= 5⁻³

= 1 / 5³

6) (6⁻⁴ x 6⁶) / 6³

= 6² / 6³

= 1 / 6

Hence, the expressions (a), (d), (e) and (f) have values less 1.

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Find the product and simplify completely. 1 5/8 2 /3/5 MH Enter the number that goes in the green box. Enter​

Answers

The Product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

To find the product and simplify completely, you need to perform multiplication and simplify the resulting fraction. Here, we are multiplying the following fractions and mixed numbers:1, 5/8, 2, and 3/5.The first step is to convert the mixed numbers into improper fractions.

We do that by multiplying the whole number by the denominator, and then adding the numerator.For 1 5/8, we get:$$1 \frac{5}{8} = \frac{8}{8} \times 1 + \frac{5}{8} = \frac{13}{8}$$For 2, we get:$$2 = \frac{2}{1} = 2 \times \frac{1}{1} = \frac{2}{1}$$For 3/5, we leave it as is since it's already a fraction.

Now that we have all the numbers as fractions, we can multiply them:$$\frac{13}{8} \times \frac{2}{1} \times \frac{3}{5} = \frac{13 \times 2 \times 3}{8 \times 1 \times 5} = \frac{78}{40}$$

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2:$$\frac{78}{40} = \frac{2 \times 39}{2 \times 20} = \frac{39}{20}$$

Therefore, the product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

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Will likes two brands of healthy breakfast cereal. In Superfiber cereal, there are 5 grams of fiber in one cup. In Fiber Oats cereal, there are 4 grams of fiber in one cup. Let x represent the number of cups of Superfiber Will ate this week and let y represent the number cups of Fiber Oats he ate this week. Which inequality represents the situation if the cereal Will ate this week contained at least 30 grams of fiber?

a)5x + 4y ≥ 30

b)4x + 5y ≥ 30

c)4x + 5y ≤ 30

Answers

Answer:

A.

Step-by-step explanation:

Answer:

a. 5x + 4y ≥ 30

Step-by-step explanation:

for edge 2020:)

40 points!! What does this graph represent

40 points!! What does this graph represent

Answers

Answer:

\(f(x)=0.2\,(x-2)^2+1\)

Option "B" as per the list of possible answers

Step-by-step explanation:

Notice that the parabola has a minimum at the point (2, 1), therefore first look at which of the options gives you  \(f(2) = 1\). You would be able then the discard the last two functions listed (they render "-1" (not 1) for x = 2.

Now to decide between the first and the second option, notice that the first option has a negative coefficient (-0.2) multiplying the perfect square \((x-2)^2\) which means that the branches of such parabolic function would be pointing down. So you discard the first option, and now the only one left is the second option:

\(f(x)=0.2\,(x-2)^2+1\)

which you can check briefly by evaluating a couple of easy points  (like what values you get for x = 0, and at x = 4, and confirm it is the correct option.

Help me! I need help with my homework !

Help me! I need help with my homework !

Answers

Answer:

Rounding to the nearest hundredth, the area of the shaded region is approximately 167.91 square yards.

Step-by-step explanation:

To find the area of the shaded region between two circles with the same center, we need to subtract the area of the smaller circle from the area of the larger circle.

The area of the larger circle is:

A_outer = πr_outer^2

= π(11.9 yd)^2

≈ 445.03 yd^2

The area of the smaller circle is:

A_inner = πr_inner^2

= π(9.4 yd)^2

≈ 277.12 yd^2

Therefore, the area of the shaded region is:

A_shaded = A_outer - A_inner

≈ 445.03 yd^2 - 277.12 yd^2

≈ 167.91 yd^2

Hope this helps! Sorry if it doesn't. If you need more help, ask me! :]

What is the rise over run for the slope -11/9

Answers

Answer:  11 down and 9 right

Step-by-step explanation:

Slope IS rise over run where the top number of the fraction (numerator) determines the vertical distance --> positive is up, negative is down

and the bottom number of the fraction (denominator) determines the horizontal distance --> positive is right, negative is left.

Given slope = -11/9

the numerator is -11 so the "rise" is  DOWN 11 units

the denominator is 9 so the "run" is RIGHT 9 units

Use a calculator to solve for x in the equation 2e3x = 400. Round your answer to three decimals.

Question 8 options:

A)

6.397

B)

1.766

C)

5.991

D)

5.298

Answers

The value of the expression is 1.766.

What is simplification?

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.

Given the expression,

2\(e^{3x}\) = 400

divide by 2 into both sides

\(e^{3x}\) =  400/2

\(e^{3x}\) = 200

converting the expression in form of a log,

ln(\(e^{3x}\))= ln(200)

log(aⁿ) = n log(a)

3x ln(e) = ln(200)  [ln(e) = 1 and ln(200) = 5.2931]

3x = 5.2931

x = 1.766

Hence Option B is correct.

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Abi takes out a loan that gathers compound interest. The table below shows the value of the loan over time. a) What is the rate of interest per annum? Give your answer as a percentage to 1 d.p. b) Work out the value of the loan 10 years after it starts. Give your answer in pounds (£) to the nearest 1p. Start After 1 year After 2 years £2500.00 £2645.00 £2798.41​

Answers

(a) We can use the formula for compound interest to find the rate of interest per annum: A = P * (1 + r/n)^(n*t), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years.

Using the table, we can see that the loan increases by a factor of 1.058 after 1 year and by a factor of 1.058/1.045 = 1.0124 after 2 years. Thus, we have:

1.058 = (1 + r/n)^(n*1)
1.0124 = (1 + r/n)^(n*2)

Dividing the second equation by the first, we get:

1.0124/1.058 = (1 + r/n)^(n*1)

Taking the nth root of both sides, we get:

(1 + r/n) = (1.0124/1.058)^(1/n)

Solving for r, we get:

r = n * [(1.0124/1.058)^(1/n) - 1]

We don't know the value of n, but we can make an educated guess that it's either 1 or 2, since the loan is increasing by roughly 5.8% per year. If we try n = 1, we get:

r = 1 * [(1.0124/1.058)^(1/1) - 1] = -0.0427

This is clearly not the correct answer, since the interest rate cannot be negative. If we try n = 2, we get:

r = 2 * [(1.0124/1.058)^(1/2) - 1] = 0.0574

This is a reasonable answer, since it's close to the observed increase in the loan value of 5.8% per year. Therefore, the rate of interest per annum is 5.7% to 1 d.p.

(b) Using the formula for compound interest, we can find the value of the loan 10 years after it starts:

A = P * (1 + r/n)^(n*t) = 2500 * (1 + 0.0574/1)^(1*10) = £4,745.60 (to the nearest 1p

Answer:

25000

Step-by-step explanation:

some points plus brainliest

Answers

Answer:

ok... thanks for that.... may god bless you....

wishing u r happy and ur health is okay

Step-by-step explanation:

brainliest plz

Vector addition obeys rules that are different from those for the addition of two scalar quantities.

a. True
b. False

Answers

Answer:

false

Step-by-step explanation:

false

The product is 2 2/3 + 4 4/5

Answers

Answer:

\(7\frac{7}{15}\)

Step-by-step explanation:

Mark as Brainllest plz

1. Find the measure of the angle indicated 88°

1. Find the measure of the angle indicated 88

Answers

Answer:

C: 52 degrees

Step-by-step explanation:

A punter kicked a 41 yard punt. The pth of the football can be modeled by y=-0.035x2 + 1.4x + 1 where x is the distance in yards the football id kicked and y id the height in yards the football kicked

Answers

This means that the football’s height when it was kicked 41 yards away was -1.762 yards.

What is yard?

A yard is a unit of length measurement in the imperial and US customary systems of measurement. It is equal to 3 feet or 36 inches.

The equation given is a parabolic equation which models the path of the football. It is a quadratic equation in the form of y = ax² + bx + c, where a, b, and c are coefficients that determine the shape of the path. The coefficient a represents the rate of change in the football’s height as it moves away from the punter. In this equation, a is -0.035, which indicates that the football’s height decreases as it moves away from the punter. The coefficient b indicates the rate of change in the football’s height as it moves back toward the punter, and in this equation, b is 1.4, which means that the football’s height increases as it moves back towards the punter. Finally, the coefficient c is 1, which indicates the height of the football when it is kicked.

In this case, the football was kicked 41 yards, so plugging x = 41 into the equation gives us y = -0.035(41²) + 1.4(41) + 1 = -1.762.

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The graph of x = c is a(n).
line with x-intercept
The graph of x= c is a(n)
line with x-intercept
vertical
horizontal

Answers

Answer: vertical and (c,0)

Step-by-step explanation: I just got it correctly

The true statement is the graph of x = c is a vertical line with x-intercept of (c,0)

How to complete the statement?

The equation of the line is given as:

x = c

The above equation represents a line that passes through the x-axis at point (c,0)

This means that the graph of x = c is a vertical line with x-intercept of (c,0)

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EXPLORE ACTIVITY 2
TEKS 7.13.8
Analyzing a Family Budget
One way to present a budget is in a circle graph. You can see at a glance which
categories take the greatest part of the family's resources. You can also work
backward from a circle graph to figure out exactly how much money is in each
category.
Use the circle graph to complete
the table for the Baker family's
monthly budget. Their net
monthly income is $4,000.
STEP 1)
STEP 2
STEP 3
STEP 4
STEP 5
432 Unit 7
Enter the income in the table.
Enter the percent or amount of money for each
category from the circle graph in the table.
Calculate the amount of money or the percent
for each category in the table.
Determine which expenses are fixed and
which are variable. Place X's in the appropriate
columns.
Complete the Amount Available column.
Item
Net monthly income
means how much
income the family
has after taxes.
Net monthly
Income
Housing cost
Food
Savings
Entertainment
Clothing
Medical
Transportation
Emergency
fund
Amount
($)
Percent
(%)
Baker Family's Monthly Budget
Emergency fund
Transportation
(car expense,
bus passes)
$400
Medical
(insurance
and
additional
expenses)
$600
Clothing
8%
Entertainment
Savings
$320
Fixed
Variable
Amount
Expense Expense Available
($)
Housing
cost (house
payment and
Insurance!
$1,400
Food
15%

Answers

Note that the table of budget is attached accordingly, and steps 1-4 have been completed. See the table.

What happened during emergency repair of $305?

4) Since the emergency fund for that month was $200, it means that they are in the short for $105. They can only affod it if they take from their savings.

5) they had a balance of $800 for the month. This is miscellaneous funds. They can make use of this for the trip to NASA. This way, they won't have to touch the savings or entertainment.

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Full Question:
See attached image.

Reflect

4. Analyze Relationships One month, the family must make an

emergency car repair for $305. Are they able to pay for it out of the

fixed emergency fund for that month? If not, how can they afford it?

5. The family wants to make a trip to Houston to visit the NASA Space

Center. What are some ways they can save without using all of the

allotted $160 for entertainment

EXPLORE ACTIVITY 2TEKS 7.13.8Analyzing a Family BudgetOne way to present a budget is in a circle graph.
EXPLORE ACTIVITY 2TEKS 7.13.8Analyzing a Family BudgetOne way to present a budget is in a circle graph.

find the zeros of the function. State the multiplicity of multiple zeros.
y=7x^3-7x select the correct choice below and if necessary fill in the boxes within your choice.

1. The numbers _ are zeros of multiplicity 3

2. The numbers _ are zeros of multiplicity 2

3. The numbers _ are zeros of multiplicity 1

4. The numbers _ are zeros of multiplicity 1 and the numbers _ are zeros of multiplicity 2.

(picture added if needed :))

find the zeros of the function. State the multiplicity of multiple zeros. y=7x^3-7x select the correct

Answers

The numbers 0, 1, and -1 are zeros of multiplicity 1.

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

To find the zeros of the function \(y=7x^3-7x\), we can set y equal to zero and solve for x:

\(7x^3 - 7x = 0\)

Factor out 7x:

\(7x(x^2 - 1) = 0\)

Factor the quadratic expression:

7x(x - 1)(x + 1) = 0

The zeros of the function are the values of x that make y equal to zero. From the factored expression, we see that the zeros are:

x = 0 (with multiplicity 1)

x = 1 (with multiplicity 1)

x = -1 (with multiplicity 1)

Therefore, the correct choice is: The numbers 0, 1, and -1 are zeros of multiplicity 1.

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NO LINKS PLS AND IF U DON'T KNOW KNOW THE ANSWER THEN DON'T ANSWER PLEASEJavin cuts a block of wood along the red line. When he looks at the newly exposed face, what is the shape of the cross-section? 2 in 3 in 4 in A. A rectangle, 4 inches by 3 inches O B. A rectangle, 4 inches by 2 inches C. A square, 2 inches by 2 inches D. A rectangle, 2 inches by 3 inches​

 NO LINKS PLS AND IF U DON'T KNOW KNOW THE ANSWER THEN DON'T ANSWER PLEASEJavin cuts a block of wood

Answers

Answer:

4 inches by 3 inches. It should actually be 10 inches by 6 but its not on there.

for any given flight, an airline tries to sell as many tickets as possible. suppose that on average, 10% of ticket holders fail to show up, all independent of one another. knowing this, an airline will sell more tickets than there are seats available, and hope that there is a sufficient number of ticket holders who do not show up to compensate for its overbooking. using the central limit theorem, determine n, the maximum number of tickets an airline should sell on a flight with 300 seats so that it can be approximately 99% confident that all ticket holders who do show up will be able to board the plane. use the 1/2-value-correction (called de moivre-laplace approximation) in your calculation.

Answers

The maximum number of tickets an airline should sell on a flight with 300 seats so that it can be approximately 99% confident that all ticket holders who do show up will be able to board the plane is 324.

The maximum number of tickets an airline should sell on a flight with 300 seats so that it can be approximately 99% confident that all ticket holders who do show up will be able to board the plane is 326.   This is calculated using the 1/2-value correction (de Moivre-Laplace Approximation). The 1/2-value correction assumes the normal distribution is symmetric, with the mean in the middle of the distribution. This means that the probability of being above the mean is equal to the probability of being below the mean.  Since the airline wants to be 99% confident that all ticket holders who do show up will be able to board the plane, this means that the airline needs to sell enough tickets such that the probability of being above the mean (300 tickets sold) is 99%.   Using the 1/2-value correction, the airline needs to sell 326 tickets to achieve this confidence level.

This is calculated as follows:   P(x > 300) = 0.99  P(x < 300) = 0.01  Using the 1/2-value-correction:

P(x = 300 + 0.5) = 0.99

Therefore,   x = 300 + 0.5=>  x = 300.5 => x = 326

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Lin rode her bike 2 miles in 10 minutes. She rode at a constant speed. How long will it take Lin to travel 20 miles?

Answers

Answer:

in 20 miles she would have taken her 100 minutes (or 1 hour and 40 mins)

Step-by-step explanation:

Divide 10 by 2 to see how many mins its takes to travel 1 mile which is 5 mins, then multiply 20 by 5 to get 100 minutes

2:10

1:5

2.5/1

your welcome

Round 89.96 to the nearest tenth

Answers

Your answer is 90. Hope that helps!

Answer:

to round to the nearest 10th you need to look at the value after that, since 6 is greater than 5, the 10th place rounds up making the rounded number equal 90.


10y + 7x = 29
-5y - 9x = 2
i need to find the x and y
PLS PLS PLS HELP

10y + 7x = 29-5y - 9x = 2 i need to find the x and yPLS PLS PLS HELP

Answers

Hello!

\(\large\boxed{x = -3, y = 5}\)

10y + 7x = 29

-5y - 9x = 2

In this system, it would be easiest to eliminate y. Eliminate y by multiplying the bottom equation by 2:

10y + 7x = 29

2(-5y - 9x = 2)

Add the equations:

10y + 7x = 29

-10y - 18x = 4

--------------------

0y - 11x = 33

-11x = 33

-11x/(-11) = 33/(-11)

x = -3

Plug in the value of x into an equation to solve for y:

10y + 7(-3) = 29

10y - 21 = 29

10y = 50

y = 5.

PLEASE HELP
Part A: Create a fifth-degree polynomial with three terms in standard form. How do you know it is in standard form? (5 points)

Part B: Explain the closure property as it relates to subtraction of polynomials. Give an example. (5 points)

Answers

A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(x^{4}\)+ c\(x^{3}\). The coefficient of the highest degree term (x^5) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and \(x^{2}\) + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.

Part A: A fifth-degree polynomial with three terms in standard form would be written as a\(x^{2}\) + b\(y^{2}\)+ c. The coefficient of the highest degree term (\(x^{5}\)) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.

Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4\(x^{2}\) + 3x - 5 and  + 2. The result of this subtraction would be 3\(x^{2}\) + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.

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If a truck used 25 gallons to travel 375 mies, how many miles would it travel on 4 gallons of gas?​

Answers

Answer:

93.75 miles if im not mistaken

Step-by-step explanation:

because the most miles is 375 so you would divide that number by four to see how many miles u can go before filling up again.

Someone please help me with my whole quiz! I am on question 5. I am doing a lot of points for this!

Someone please help me with my whole quiz! I am on question 5. I am doing a lot of points for this!

Answers

Answer:

For any equation X€R But here is Nothing like it.

Step-by-step explanation:

0 = -x^-4 is wrong to say.

fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=​

Answers

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

What is the prime factorization of 48?
O A. 2x3x8
OB. 2x2x3 x4
OC. 2x2x2x3
OD. 2x2x2x2x3
O E. 2x2x2x3 x3

Answers

Answer:

D

Step-by-step explanation:

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

16 x 3 = 48

3. The customs duty on an imported vehide is 45% of imported price. (a) Calculate the customs duty опа car for which the imported price. is $3000 000. of a mini (6) Calculate the imported price bus if the amount paid induding customs duty TS $1560 000. ES​

Answers

a) The customs duty on the car would be $1,350,000.

b) The imported price of the bus would be $858,000.

(a) To calculate the customs duty on a car with an imported price of $3,000,000, we can multiply the imported price by the duty rate of 45%:

Customs duty = $3,000,000 * 0.45 = $1,350,000.

(b) To calculate the imported price of a bus if the amount paid, including customs duty, is $1,560,000, we need to determine the portion of the total amount that represents the customs duty. Since the customs duty is 45% of the imported price, we can set up the following equation:

Customs duty = $1,560,000 * 0.45.

Solving for the customs duty:

Customs duty = $702,000.

Now, we can subtract the customs duty from the total amount to find the imported price:

Imported price = $1,560,000 - $702,000 = $858,000.

In summary, the customs duty on a car with an imported price of $3,000,000 would be $1,350,000. On the other hand, if the amount paid for a bus, including customs duty, is $1,560,000, the imported price of the bus would be $858,000.

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Which expression is equivalent to 7a + 2a + 7 - a-2

Answers

Answer:

8a+5

Step-by-step explanation:

At a family reunion, there only blood relatives, consisting of children, parents, and grandparents, in attendance. There were 400 people total. There were twice as many parents as grandparents, and 50 more children than parents. How many children, parents, and Grandparents were in attendance?

Applying the Solution to a 3X3 System
Show up all steps please

Answers

let x= children, y = parents, z= grandparents.
our equation now looks like
y = 2z, x=y+50 and xty+z= 400.

× = 190
y= 140
z= 70

A rectangular prism with a square base has a height of 17.2cm and a volume of 24.768cm². What is the length of its base?

Answers

Let's use the formula for the volume of a rectangular prism to solve for the length of the base.

The formula for the volume of a rectangular prism is:

V = lwh

where V is the volume, l is the length, w is the width, and h is the height.

We know that the height of the rectangular prism is 17.2 cm, and the volume is 24.768 cm³. We also know that the base is a square, so the length and width are the same. Let's call the length of the base x.

Then, we can write:

V = lwh
24.768 = x * x * 17.2
24.768 = 17.2x²
x² = 1.44
x = 1.2

Therefore, the length of the base of the rectangular prism is 1.2 cm.
Let x be the length of the base of the rectangular prism.

The formula for the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height.

In this problem, we know that the height is 17.2 cm, and the volume is 24.768 cm³. We also know that the base is a square, so the length and width are the same.

Therefore, we can write the equation:

24.768 = x² * 17.2

To solve for x, we can divide both sides by 17.2, and then take the square root of both sides:

x² = 24.768 / 17.2

x² = 1.44

x = sqrt(1.44)

x = 1.2

Therefore, the length of the base of the rectangular prism is 1.2 cm.
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