how to find the base area of a rectangular prism from length width and volume

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equations are given below.

6x = 52 - 2y

6x + 2y = 52

3x + y = 26                   ...1

5x + 7y = 70

(5/7)x + y = 10              ...2

Subtraction equation 2 from equation 1, then we have

3x - (5/7)x = 26 - 10

(16/7)x = 16

x = 7

Then the value of 'y' is given as,

3(7) + y = 26

21 + y = 26

y = 5

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

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Answer:

B Igneous

Step-by-step explanation:

Igneous rock is formed by melting and then cooling.

Answer:

B

Step-by-step explanation:

Igneous

There is a probability of 94/315 that the problem will be solved.

We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.

The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.

The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.

The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.

The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.

To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:

2/7 + 4/7 + 4/9 = 94/315

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Answer:

15 cm

Step-by-step explanation:

You need to remember 2 theorems about a rhombus.

1.  The diagonals of a rhombus bisect each other

2.  The diagonals of a rhombus are perpendicular to each other

In other words, the diagonals of a rhombus are perpendicular bisectors.

BE = 9 and AE = 12

ΔAEB is a right triangle.  So, the Pythagorean theorem says

\(9^{2} + 12^{2} = AB^{2}\)

\(AB^{2}\) = 81 + 144

       = 225

AB = \(\sqrt{225} = 15\) cm

Answer:

120yd cube

Step-by-step explanation:

SOLUTION:

=) 21x + 3

I think this is the answer.

1) Adam's monthly cash flows are:

2) I would save $300 monthly from the ending cash flow balance for retirement savings.

3) If Adam retires in 35 years and finds an IRA for 4.8%, the future value of their retirement account will be $326,070.43 when they retire.

4) In 35 years, Adam will deposit $126,000 in total to their IRA.

5) The accrued interest from the IRA will be $200,070.43.

The future value represents the balance in Adam's retirement savings account after 35 years of depositing $300 monthly at 4.8% interest.

The future value is computed by compounding the periodic deposits (present values).

Adam's total monthly earnings = $2,080 ($15 x 32 x 52 x 1/12)

Monthly Expenses:

Rent $650

Groceries $325 ($75 x 52 x 1/12)

Utilities $120

Car Insurance $118

Gasoline $130 ($30 x 52 x 1/12)

Miscellaneous $400

Total monthly expenses = $1,743

Ending cash flows = $337 ($2,080 - $1,743)

Retirement period = 35 years

IRA interest rate = 4.8%

Monthly savings = $300

N (# of periods) = 420 months (35 years x 12)

I/Y (Interest per year) = 4.8%

PV (Present Value) = $0

PMT (Periodic Payment) = $300

Results:

Future Value (FV) = $326,070.43

Sum of all periodic deposits = $126,000 ($300 x 420)

Total Interest = $200,070.43

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Answer:

A

Step-by-step explanation:

4x2x2=16

16/2=8

The coordinates of point Q in the rectangle named QRST is (5, 5).

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given:

We have the Graph having coordinate T(5, 2).

and, length of QT = 3 unit

As, the vertical distance shows the y coordinate then the y coordinate of Q is 3.

and, the x coordinate is same as T.

Then, the Coordinate of Q is (5, 2+3) or (5, 5).

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The total price of a $6.89 item plus 6% sales tax is $7.3043.

The percentage is calculated by dividing the required value by the total

value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Cost of an item = $6.89

Sales tax = 6%

This means,

Sales tax amount.

= 6/100 x 6.89

= 0.4143

Now,

The total amount of the item.

= 6.89 + 0.4143

= $7.3043

Thus,

The total price plus 6% sales tax is $7.3043.

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Answer:

11.25 seconds

Step-by-step explanation:

first, we need to figure how how far william can run per second

we can find this by 40 ÷ 4.5

= 8.889 per second

so we know that 8.889 • s (seconds) = 100

8.889s = 100                 divide both sides by 8.889

s = 11.25 seconds

Answer:

William will take 11.25 seconds to run 100 yards

Step-by-step explanation:

Constant Rate

William runs 40 yards in 4.5 seconds. The rate of change of the distance is

\(\frac{40}{4.5}\)

To run 100 yards, we divide by the rate obtained above:

\(\displaytstyle \frac{100}{\frac{40}{4.5}} =100*\frac{4.5}{40} =11.25\)

William will take 11.25 seconds to run 100 yards

An example of an item where you would need to find the area of a square is a square table.

An example of an item where you would need to find the area of a rectangle is a phone that has a rectangular shape.

It's important to note that the area of a square is the multiplication of its sides by itself. For example, if the side is 4cm, the area will be:

= 4²

= 4 × 4.

= 16cm²

The area of a rectangle will be:

= Length × Width

Assuming length and width are 5cm and 2cm. This will be:

= 5 × 2

= 10cm²

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Answer:

Step-by-step explanation:

y = ½x² + 6x + 23

  = ½(x² + 12x) + 23

  = ½(x² + 12x + 6²) - ½(6²) + 23

  = ½(x+6)² + 5

vertex (-6,5)

focal length = 1/(4∙½) = ½

directrix: y = 5-½ = 4.5

Answer: y=4.5 Just confirming

Step-by-step explanation:

Just a test good luck

Answer:

A. both the interest and fees on a loan.

Step-by-step explanation:

An annual percentage rate (APR) includes both the interest and fees on a loan.

\(\purple{\boxed{\blue{\boxed{\green{\star{\orange{\ \: \: Sumin-!! \: \: \: {\green{\star}}}}}}}}}\)

Store A: 1 foot= 42.50÷5 = $8.50

Store B= 1 foot= 49.50÷6 = $8.25

Answer:

Store B has a better buy because the price for 1 foot sandwich is cheaper than Store A.

Answer:

44 m2

Step-by-step explanation:

The area of the rhombus can be divided into 4 equal triangles.

The area of one triangle is A=bh/2

so:

A = 5.5*2

A = 11 squared m

Since there are four (4) triangles in the rhombus we just need to multiply 11 by 4 so:

A = 11 * 4

A = 44 squared m

Answer:

you need to provide more information lol

Step-by-step explanation:

e

add 6 plus 33 then do x+1 then you divide

Step-by-step explanation:

1) Polynomial of 4 terms.

2) The rational roots of the function are,

x = - 2, 1

3) The zeroes of the function are,

x = - 2, - 3, 2

4) The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) The correct function which shows the cubic equation is, option 1.

We have to given that;

1) Function is,

⇒ 3x⁵ + 5x⁴ - 7x³ + 15

Clearly, There are 4 terms in function.

Hence, Polynomial of 4 terms.

2) Function is,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

The correct rational roots are satisfy the function,

Hence, We get;

Plug x = 1,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0

⇒ 0 = 0

Plug x = - 2;

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0

⇒ 0 = 0

Thus, The zeroes of the function are,

x = - 2, 1

3) Function is,

⇒ y = (x + 3) (x + 2) (x - 2)

Hence, The zeroes of the function are,

x = - 3

x = - 2

x = 2

4) Function is,

⇒ 3x² - 4 = - x⁴

⇒ x⁴ + 3x² - 4 = 0

⇒ x⁴ + 4x² - x² - 4 = 0

⇒ x² (x² + 4) - 1 (x² + 4) = 0

⇒ (x² - 1) (x² + 4) = 0

⇒ x² - 1 = 0

⇒ x² = 1

⇒ x = ±1

⇒ x² + 4 = 0

⇒ x² = - 4

⇒ x = ±2i

Hence, The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) By given graph the  correct function which shows the cubic equation is, Option 1.

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Recall that

\(L_s\left\{t^n\right\} = \dfrac{n!}{s^{n+1}}\)

where \(L_s\left\{y(t)\}\) is the Laplace transform of y(t) into the s-domain.

Then you have

\(L_s\left\{t+t^2+t^3\right\} = \dfrac{1!}{s^{1+1}} + \dfrac{2!}{s^{2+1}} + \dfrac{3!}{s^{3+1}} = \boxed{\dfrac1{s^2} + \dfrac2{s^3} + \dfrac6{s^4}}\)

The first plane is farther from the airstrip after the second leg

The first plane

Initial distance = 150 miles west

Additional distance = 220 miles 30 degrees SW

This means that

Additional distance = 220 * cos(30) miles SW

Additional distance = 190.53 miles

Total distance = 150 + 190.53 = 340.53

The second plane

Initial distance = 220 miles east

Additional distance = 150 miles x degrees SE

This means that

Additional distance = 150 * cos(x) miles SW

Total distance = 220 + 150 cos(x)

Given that

x < 30

We have

Second plane < First plane

220 + 150 cos(x) < 340.53

Evaluate

cos(x) < 0.8035

Take the arc cos of both sides

x < 36

x < 36 is not the same as x < 30

Hence, the first plane is farther

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Answer:70

Step-by-step explanation:

The drug has a half-life of 5 hours

Half-life is the time required for a quantity to reduce to half of its initial value. The term is commonly used in nuclear physics to describe how quickly unstable atoms undergo radioactive decay or how long stable atoms survive. The term is also used more generally to characterize any type of exponential decay.

The formula is given as;

T1/2 = ln2 / λ

Where;

But λ = 15% = 0.15/hr

t1/2 = ln2 / 0.15

T1/2 = 0.693/0.15

T1/2 = 4.62 = 5 hours.

The half-life of the drug is 5 hours

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The value of x in the lines is 126 degree

We are given that;

Three parallel line and one intersecting line

Angles= (x-6) and 60

Now,

By supplementary angles property

Angle 1 + Angle 2 = 180 degree

Substituting the values of angles

x-6 + 60 = 180

x + 54 = 180

x = 180-54

x = 126

Therefore by supplementary angles answer will be 126 degree.

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Answer:

D

Step-by-step explanation:

Clockwise would mean a rotation to the right, and since the triangle is already plotted, just use the little picture turning icon( in the top right corner of the photo of the problem) to turn, and look at the triangle in the original graph to see how it moved.

Then click the button three more time until you get the photo right-side-up, and choose which option is the best answer.

Answer:

I'm gonna go with the first choice because it's rational.

Step-by-step explanation:

Answer:

pi is the answer

Step-by-step explanation:

Answer:

First: we expand

6x-(6-9x)

Then we simplify

6x-6+9x

Collect like terms

(6x+9x)-6

Simplify:

15x-6

The answer is 15x-6

Answer:

The answer toy our problem is, The maximum number of days by which the completion of work can be delayed is 15.

Step-by-step explanation:

We are given that the penalty amount paid by the construction company from the first day as sequence, 4000, 5000, 6000, ‘ and so on ‘. The company can pay 165000 as penalty for this delay at maximum that is

 \(S_{n}\)​ = 165000.

Let us find the amount as arithmetic series as follows:

4000 + 5000 + 6000

The arithmetic series being, first term is \(a_{1}\) = 4000, second term is \(a_{2}\) = 5000.

We would have to find our common difference ‘ d ‘ by subtracting the first term from the second term as shown below:

\(d = a_{2} - a_{1} = 5000 - 4000 = 1000\)

The sum of the arithmetic series with our first term ‘ a ‘ which the common difference being, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) ( ‘ d ‘ being the difference. )

Next we can substitute a = 4000, d = 1000 and \(S_{n}\) = 165000 in “ \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) “ which can be represented as:

Determining, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\)

⇒ 165000 = \(\frac{n}{2}\) [( 2 x 4000 ) + ( n - 1 ) 1000 ]

⇒ 2 x 165000 = n(8000 + 1000n - 1000 )

⇒ 330000 = n(7000 + 1000n)

⇒ 330000 = 7000n + \(1000n^2\)

⇒ \(1000n^2\) + 7000n - 330000 = 0

⇒ \(1000n^2\) ( \(n^2\) + 7n - 330 ) = 0

⇒  \(n^2\) + 7n - 330 = 0

⇒ \(n^2\) + 22n - 15n - 330 = 0

⇒ n( n + 22 ) - 15 ( n + 22 ) = 0

⇒ ( n + 22 )( n - 15 ) = 0

⇒ n = -22, n = 15

We need to ‘ forget ‘ the negative value of ‘ n ‘ which will represent number of days delayed, therefore, we get n=15.

Thus the answer to your problem is, The maximum number of days by which the completion of work can be delayed is 15.

Answer:

Find the answer below.

Step-by-step explanation:

1. A = {mountain, valley, plateau, plains and hills}

2. B = {23, 29, 31, 37 and 41}

3. C = {2, 4, 8, 10 and 12}

4. D = {2/3, 1/2, 3/4, and 1/5}

5. E = {ant, angel, angle, anaconda, and ark}