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pochemuha
3 years ago
7

Type the dimensions of a different shaped box that has the same volume

Mathematics
1 answer:
defon3 years ago
7 0

Step-by-step explanation:

120ft³ = 3ft × 4ft × 10ft

120ft³ = 1ft × 1ft × 120ft

120ft³ = 2ft × 2ft × 30ft

120ft³ = 5ft × 3ft × 8ft

...

Taking fractions or mixed numbers as dimensions, you can give infinitely many such shapes with a volume of 120ft³.

You might be interested in
"Jim is leasing a warehouse and 20% of his monthly payment is going towards the purchase price of the property at a future date.
Free_Kalibri [48]

Answer:

i'm pretty sure that is something dealing with down payment.

Step-by-step explanation:

     Down payment is an initial upfront partial payment for the purchase of expensive items such as a car or a house. It is usually paid in cash or equivalent at the time of finalizing the transaction. A loan of some sort is then required to finance the remainder of the payment.  

   The main purposes of a down payment are to ensure that the lending institution has enough capital to create money for a loan in fractional reserve banking systems and to recover some of the balance due on the loan in the event that the borrower defaults. In real estate, the asset is used as collateral in order to secure the loan against default. If the borrower fails to repay the loan, the lender is legally entitled to sell the asset and retain enough of the proceeds to repay the remaining balance on the loan, including fees and interest added. A down payment, in this case, reduces the lender's risk to less than the value of the collateral, making it more likely that the lender will recover the full amount in the event of default.

    The size of the down payment thus determines the extent to which the lender is protected against the various factors that might reduce the value of the collateral, as well as lost profits between the time of the last payment and the eventual sale of the collateral.  

    Furthermore, making a down payment demonstrates that the borrower is able to raise a certain amount of money for long-term investment, which the lender may desire as evidence that the borrower's finances are sound, and that the borrower is not borrowing beyond his or her means.  

  If the borrower is unable to pay off the loan in its entirety, the down payment amount is forfeited.  

   In the United States, down payments for home purchases typically vary between 3.5% and 20% of the purchase price.[1] The Federal Housing Administration has advocated lower down payments since its inception in 1934, and, currently, borrowers that qualify for an FHA loan pay only 3.5% for a down payment. With rising home prices in the years from 2000 to 2007, lenders were willing to accept smaller or no down payment (either through 100% financing, seller-assisted down payment assistance, government down payment providers or by providing a combination of an 80% first and 20% second mortgages) so that more individuals could purchase homes as their primary residences. Currently, in the United States, the Department of Veterans Affairs offers complete financing for qualifying veterans. The USDA Home Loan program also offers complete mortgage loans with no down payment. These loans are available as direct or guaranteed loans and are offered to qualifying borrowers purchasing a home in a more rural area. Most state finance housing agencies offer down payment assistance. Down Payment Assistance programs are all different with certain requirements for each. State or local housing authorities, a non-profit organization, or lender usually set the requirements and conditions for the DPA program. Some programs require you or your loan officer to take a short course on Down Payment Assistance for first time home buyers. Homebuyer assistance programs vary by state and can amount to up to three percent of the loan amount for down payment or closing costs. Some states have special programs supporting home purchases in selected geographic areas.

There is more risk for lenders when individuals purchase a home as an investment property. Therefore, the lender may charge a higher interest rate and expect a higher down payment.

3 0
3 years ago
A spinner for a board game consists of a cardboard circle with two plastic arrows anchored to its center. The arrows are congrue
tekilochka [14]

Answer:

Option (c) is correct.

The approximate total area of the plastic triangles on the spinner is 2 × 3.9 square centimeters = 7.7 square centimeters


Step-by-step explanation:

Given:A spinner for a board game consists of a cardboard circle with two plastic arrows anchored to its center. The arrows are congruent isosceles triangles connected at their bases.

also,  Given: The base of each triangle measures 2 centimeters and the perimeter of each triangle is 10 centimeters.

We have to find the approximate total area of the plastic triangles on the spinner.

Perimeter of triangle is the sum of sides.

Since given the triangle to be isosceles .

Let the two equal side be x cm, then,

Perimeter of given triangle = 1 0

⇒ x  + x + 2 = 1 0

⇒ 2x = 8

⇒ x = 4

Thus, side of triangle is 4 cm.

Now we find the area of  isosceles triangle.

We first find the height, using Pythagoras theorem,

(AC)^2=(AD)^2+(DC)^2

Putting values, we get,

(4)^2=(AD)^2+(1)^2

Solving we get,

AD=3.87

Thus, area of one isosceles triangle  A=\frac{1}{2} bh

area of one isosceles triangle  A=\frac{1}{2} \times 2 \times 3.87

On solving we get,

Approximate area of one plastic triangles on the spinner is 3.9 square centimeters.

Thus, the approximate total area of the plastic triangles on the spinner is 2 × 3.9 square centimeters = 7.7 square centimeters

Option (c) is correct.




7 0
3 years ago
Read 2 more answers
The domain of f(x) is the set of all real values except 7 , and the domain of g(x) is the set of all real values except -3. Witc
Anna007 [38]
Answer: <span><span>the domain of g [f(x) ] is the set of all real values except 7 and the x for which f(x) = - 3.</span>

Explanation:

Taking (g•f)(x) as (g o f) (x), this is g (x) composed with f(x) you have this analysis.

(g o f) (x) is g [ f(x) ], which means that you first apply the function f and then apply the function g to the output of f(x).

The domain of g [ f(x) ] has to exclude 7, because it is not included in the domain of f(x).

Also the domain thas to exclude those values of x for which f(x) is - 3, because the domain of g(x) is the set of all real values except - 3.

So, the domain of g [f(x) ] is the set of all real values except 7 and the x for which f(x) = - 3.


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6 0
3 years ago
Read 2 more answers
Select the polynomial that is a perfect square trinomial.
alexdok [17]

Answer:

Option D. It's a perfect square trinomial.

Step-by-step explanation:

(a) 36x² - 4x + 16

= (6x)² - 2(2x) + (4)²

It's not a perfect square trinomial

(b) 16x² - 8x + 36

= (4x)² - 2x(4x) + (6)²

It's not a perfect square trinomial

(c) 25x² + 9x + 4

= (5x)² + 2(\frac{9}{2}x) + (2)²

It's not a perfect square trinomial

(d) 4x² + 20x + 25

= (2x)² + 2(10x) + (5)²

= (2x+5)²

It's a perfect square trinomial.

8 0
3 years ago
Read 2 more answers
Mrs. McAlister wrote the equation 10 t minus 4 t + 3 t = 8 on the board and asked students to write an equivalent equation. The
Lera25 [3.4K]

Answer:

t = 8/9

Step-by-step explanation:

There are many possible solutions that could be expressed as equivalent to the equation 10t - 4t + 3t = 8.  With that being said, here is a simplified form, solved for t.

10t - 4t + 3t = 8

6t + 3t = 8

9t = 8

t = 8/9

Each of these form's is an equivalent equation to the one written by Mrs. McAlister.

If you can provide the table of student answers, we could answer which students were correct or wrong.  Without the table, we can only guess.

Cheers.

3 0
3 years ago
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