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vampirchik [111]

3 years ago

8

Suppose a camping tent has a center pole that is 6 feet high. If the sides of the tent make 40° angles with the ground, how wide

, in feet, is the tent?

1 answer:

Montano1993 [528]3 years ago

8 0

Answer:

14.3 feet

Step-by-step explanation:

See attached photo for work...

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Someone pls help me ASAP! Express the following as the sum of its partial fraction: 2x+4/x(x+2)(x-4)

DaniilM [7]

Answer:

Step-by-step explanation:

$\frac{2x+4}{x(x+2)(x-4)} =\frac{a}{x} +\frac{b}{x+2} +\frac{c}{x-4} \\2x+4=a(x+2)(x-4) +bx(x-4)+cx(x+2)\\$

put x=0

0+4=a(0+2)(0-4)+0+0

-8a=4

a=-4/8=-1/2

put x+2=0 or x=-2

2(-2)+4=0+b(-2)(-2-4)+0

12b=0

b=0

put x-4=0 or x=4

2(4)+4=0+0+c(4)(4+2)

24c=12

c=12/24=1/2

$\frac{2x+4}{x(x+2)(x-4)} =\frac{-1}{2x} +0+\frac{1}{2(x-4)} \\\frac{2x+4}{x(x+2)(x-4)} =\frac{-1}{2x} +\frac{1}{2(x-4)}$

8 0

2 years ago

a journey to work takes a women three quarters of an hour. if she catches the bus at 7:55, when does she arrive?

geniusboy [140]

She would arrive at 8:40

4 0

3 years ago

in a given year, residents of a country spent approximately $54.7 billion on their pets. Of this amount, $17.6 billion wa for ve

Evgesh-ka [11]

Answer:

32.176 %

Step-by-step explanation:

(100% / 54.7) x 17.6 = about 32.176 percent

Do the equation yourself for a more precise answer!

3 0

3 years ago

Cynthia has the choice of taking out a 25-year loan for $155,000 at 4.4% interest, compounded monthly, or the same loan at 20 ye

LUCKY_DIMON [66]

Answer: Less than $100,831

Step-by-step explanation:

There is an equation for the calculation monthly payment which is:

x = p × r × (1+r)^n / (1+r)^n - 1

where,

p= the amount of loan, which is $155,000.

r = monthly interest rate, which is (4.4/12)/100 = 0.00367

n = number of months for paying back, which is 20 × 12 = 240

Since we have all the values, we plug them in and solve.

x = 155,000 × 0.00367 × (1.00367^240) / (1.00367^240) - 1

x = $972.27

Therefore, the monthly payment is approximately $972.3. We csn now multiply it by the number of months in order to get total payment:

$973.3 × 240 = $233,352

Therefore, the total amount, which is the loan plus the interest, will be 233,352 dollars.

To find the amount of interest, we subtract the loan from total amount:

= $233,352 - $155,000

= $78,352

3 0

4 years ago

Help solve equations by completing the square

Allushta [10]

$x^2+10x+22=13\\x^2+10x+22-13=0\\x^2+10x+9=0\\$

Now completing the square.

$(x^2+10x)+9=0\\(x^2+10x+25)+9-25=0\\(x+5)^2-16=0\\(x+5)^2=16$

(x+5)² = 16 is the rewritten equation... For first question btw.

For the solutions to the equation -

$x+5=\sqrt{16},-\sqrt{16} \\x+5=4,-4\\x=4-5,-4-5\\x=-1,-9$

x = -1,-9 is the solution, for the second question.

5 0

3 years ago