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3 years ago

the figure is a rectangular prism. Identify which one of the line segments in the given figure is perpendicular to BF.

Mathematics

1 answer:

spayn [35]3 years ago

3 0

Answer:

EF, FG, AB and BC are perpendicular to BF.

Step-by-step explanation:

In the figure attached, a rectangular prism has been given.

Line BF is contained in the face BCGF of the prism.

Therefore, all the faces perpendicular to the face given are,

ABFE, EFGH, ABCD and CGHD.

But the line segments contained in these faces and perpendicular to the line segment BF are EF, FG, AB and BC.

Therefore, answer is the line segments EF, FG, AB and BC are perpendicular to BF.

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aleksandr82 [10.1K]

Answer:

An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α=0.01, test the airline's claim. State the sample percentage and round it to three decimal places.

State the hypotheses.

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2 years ago

Sum-R-Fun sells a jet ski for $6,700 which includes tax. They offer an installment plan that requires 20% down. After that, the

nlexa [21]

Answer:

1) The initial down payment is $1,340

2) The total monthly payment is $7,200

3) The total cost of the jet ski on the installment plan is $8,540

4) The finance charge is $1,840

Step-by-step explanation:

The financing model of Sum-R-Fun for a jet ski are as follows;

Sum-R-Fun selling price of a jet ski = $6,700

The initial down payment = 20% of the selling price of the jet ski

The amount the customer pays per month = $200

The duration or the period of the monthly payment = 3 years

1) The initial down payment = 20/100 × $6,700 = $1,340

2) The total monthly payment = Number of months per year × Number of years × The monthly (installment) payment

∴ The total monthly payment = 12 × 3 × $200 = $7,200

3) The total cost of the jet ski on the installment plan = The initial down payment + The total monthly payment

∴ The total cost of the jet ski on the installment plan = $1,340 + $7,200 = $8,540

4) The finance charge is the cost of the credit given as follows;

The finance charge = The total cost of the jet ski on the installment plan - Sum-R-Fun selling price of a jet ski

∴ The finance charge = $8,540 - $6,700 = $1,840

5 0

3 years ago

The sum of two integers is 33. The larger is 6 more than twice the smaller. Find the two

grandymaker [24]

Answer:

24 and 9

Step-by-step explanation:

Hi there!

Let x be equal to the larger integer.

Let y be equal to the smaller integer.

1) Construct equations

$x+y=33$ (The sum of two integers is 33)
$x=6+2y$ (The larger is 6 more than twice the smaller)

2) Solve for one of the integer

Isolate x in the first equation

$x+y=33\\x=33-y$

Plug the first equation into the second

$33-y=6+2y$

Combine like terms

$33-6=2y+y\\27=3y\\9=y$

Therefore, the smaller integer is 9.

3) Solve for the other integer

$x+y=33$

Plug in y (9)

$x+9=33\\x=33-9\\x=24$

Therefore, the larger integer is 24.

I hope this helps!

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