A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase to the nearest tenth of a foot?

Answers

Answer 1

Answer: diagonal
draw an immaginary line diagonal
now yo has right triangle

pythagorean theorem
if yo has a right triangle with legs legnth a and b and hypotonuse c (diagonal), then a^2+b^2=c^2

legs are 24 and 18
18^2+24^2=c^2
324+576=c^2
900=c^2
sqrt both sides
30=c

diagonal legnth=30 inches

Answer 2

Answer:

The simple answer is D :)

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The length of a rectangle is 2x – 3 feet, and the width is 5 feet. What is the area of the rectangle in square feet?A. 7x – 15B. 10x – 15C. 10x – 8D. 7x – 8
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32 ft/sec to meters/min

Use trig to solve for x show work

Answers

For example: 12. cos(20 degrees) = x/25 => x = 25*cos(20degrees).

Jane Hilman went to her bank. She had a balance of $2,539.78 in her savings account. She withdrew $150.00 and the teller credited her account with $6.19. What is her new balance?The new balance will be $ ____

Answers

Answer:

New Balance of Jane Hilman savings account = $2395.97

Step-by-step explanation:

Amount of money Jane Hilman had in her account = $2539.78

Amount of money withdrew by her when she went to the bank = $150

Amount of money left in her account after withdraw = 2539.78 - 150

= $2389.78

Also, Teller credited her account with $6.19

And we need to find the new balance of Jane Hilman account

Thus, New Balance of Jane Hilman savings account = 2389.78 + 6.19

= $2395.97

$150-$6.19=$143.81

2,539.78-143.81=2395.97

If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the largest amount in total employee benefits?a.
Employee A: gross pay $32,600 , total job benefits $33,600
b.
Employee B: gross pay $32,900 , total job benefits $34,000
c.
Employee C: gross pay $33,400 , total job benefits $33,900
d.
Employee D: gross pay $33,700 , total job benefits $34,700

Answers

we know that

To determine which employee has received the most in employee benefits, it is done by comparing the net amount obtained by subtracting the gross pay from the job benefits obtained.

case a) Employee A: gross pay $ $32,600$ , total job benefits $ $33,600$

$33,600-32,600=1,000$

Find the percentage

by proportion

$(32,600)/(100) =(1,000)/(x) \n \n 32,600*x=1,000*100$

$x=3.067$ %

case b) Employee B: gross pay $ $32,900$ , total job benefits $ $34,000$

$34,000-32,900=1,100$

Find the percentage

by proportion

$(32,900)/(100) =(1,100)/(x) \n \n 32,900*x=1,100*100$

$x=3.343$ %

case c) Employee C: gross pay $ $33,400$ , total job benefits $ $33,900$

$33,900-33,400=500$

Find the percentage

by proportion

$(33,400)/(100) =(500)/(x) \n \n 33,400*x=500*100$

$x=1.947$ %

case d) Employee D: gross pay $ $33,700$ , total job benefits $ $34,700$

$34,700-33,700=1,000$

Find the percentage

by proportion

$(33,700)/(100) =(1,000)/(x) \n \n 33,700*x=1,000*100$

$x=2.967$ %

therefore

the answer is the option

Employee B: gross pay $ $32,900$ , total job benefits $ $34,000$

Answer:

The answer Is B or employee B.

Step-by-step explanation:

Cuz like... numbers and stuff... idk (Explanation here)

Any number that is divisible by 3 is also divisible by 6.Find a counterexample to show that the conjecture is false.
21
18
24
12

Answers

21/3 = 7 21/6 = 3.5
18/3 = 6 18/6 = 3
24/3 = 8 24/6 = 4
12/3 = 4 12/6 = 2

Each can be divided to obtain an integer, except:

21/6 = 3.5

So, while 21 can be divided by 3, it cannot be divided by 6 (for an integer anyway)

21/3=7
but
21/6=3.5
.......

The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring. What is the constant of the quadratic expression in this equation? givwn that the equation is : x2 + x +____ = 0

Answers

Let the numbers be x and x+1
x(x+1)=420
$x^(2) +x=420$
$x^(2) +x-420=0$
The constant is -420

Answer:

-420

Step-by-step explanation:

Suppose that y varies inversely with x and that y=2 when x=8. What is an equation for the inverse variation?

Answers

x=2 and y=8 Im guessing?

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A textile company bought a piece of weaving equipment for $60,000. It is expected to depreciate at an average rate of 10% per year. a. Write an equation for the value of the piece of equipment Z after

Apply the commutative property to 13×7×21 to rearrange the terms and still get the same solution