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White raven [17]

3 years ago

6

8 and 5 are factors of what number?

1 answer:

madreJ [45]3 years ago

8 0

Answer:

40

Step-by-step explanation:

8 and 5 are factors of 40. (8 x 5 = 40)

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Sophia spent 7.30 for school supplies. She spent 3.00 for a notebook and 1.75 for a pen. She also bought 3 large erasers.If each

OverLord2011 [107]

$7.30 - (3.00+1.75) = $7.30 - $4.75 = $2.55
Divide by 3 (3 = number of erasers)
$2.55/3 = $0.85 per eraser.

8 0

3 years ago

Jason and Alison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of

Shalnov [3]

Answer:

$Owl= 67.14ft$

Step-by-step explanation:

<em>See comment for complete question.</em>

The given information is represented in the attached figure.

First convert 22°8'6'' and 30° 40’ 30” to degrees

$22^{\circ} 8'6'' = 22 + \frac{8}{60} + \frac{6}{3600}$

$22^{\circ} 8'6'' = 22.135^{\circ}$

$30^{\circ} 40'30'' = 30 + \frac{40}{60} + \frac{30}{3600}$

$30^{\circ} 40'30'' = 30.675^{\circ}$

Considering Jason's position:

$tan(22.135^{\circ}) = \frac{H}{x + 48}$

Where x = distance between the tree and Alison

Make H the subject

$H = (x + 48)tan(22.135^{\circ})$

Considering Alison's position

$tan(30.675^{\circ}) = \frac{H}{x}$

Make H the subject

$H = xtan(30.675^{\circ})$

$H = H$

$(x + 48)tan(22.135^{\circ}) = xtan(30.675^{\circ})$

$(x + 48) *0.4068 = x* 0.5932$

Open bracket

$x *0.4068 + 48 *0.4068 = 0.5932x$

$0.4068x + 19.5264 = 0.5932x$

Collect Like Terms

$-0.5932x+0.4068x = -19.5264$

$-0.1864x = -19.5264$

$0.1864x = 19.5264$

Make x the subject

$x = \frac{19.5264}{0.1864}$

$x = 104.76$

Substitute 104.76 for x in $H = xtan(30.675^{\circ})$

$H = 104.76 * tan(30.675^{\circ})$

$H = 104.76 * 0.5932$

$H = 62.14$

The above represents the height of the tree.

The height of the owl is:

$Owl= H + 5$

$Owl= 62.14 + 5$

$Owl= 67.14ft$

7 0

2 years ago

Compound interest <br> Plz help!!!

liraira [26]

Answer:

a) $A(t) = 17500(1.0053)^{12t}$

b) The balance after 8 years will be of $29,069.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

a)

Loan of $17,500 means that $P = 17500$

6.4% interest rate means that $r = 0.064$

Compounded monthly means that $n = 12$ . So

$A(t) = P(1 + \frac{r}{n})^{nt}$

$A(t) = 17500(1 + \frac{0.064}{12})^{12t}$

$A(t) = 17500(1.0053)^{12t}$

b)

This is A(8). Then

$A(8) = 17500(1.0053)^{12*8} = 29069$

The balance after 8 years will be of $29,069.

8 0

2 years ago

One side of a triangle is 2 times the second side. The third side is 15 feet longer than the second side. The perimeter of a

ch4aika [34]

Answer:

16, 8, 23

Step-by-step explanation:

2x+x+x+15=47

4x+15=47

4x=32

x=8

2x=16

x+15=23

7 0

2 years ago

What is the anser to the equation 2^{2x+2} = 2^{3x}

Marianna [84]

Answer: C) x = 2

2^{2x + 2} = 2^{3x}

Since both terms (above) have the same base, set the exponents to be equal:

2x + 2 = 3x (Rearrange to solve for x)

x = 2

∴ x = 2

8 0

2 years ago