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2 years ago

If y represent the smallest of three consecutive odd integer,expression to represent each of the next two

Mathematics

1 answer:

masya89 [10]2 years ago

6 0

9514 1404 393

Answer:

y+2, y+4

Step-by-step explanation:

Consecutive odd integers differ by 2.

The next two are ...

y+2

y+4

Additional comment

You may find it simplifies the math in consecutive integer problems if you let the variable represent the middle one. If y is the middle one, the three odd integers are represented by y-2, y, y+2.

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How much interest would $2,000 earn, with simple interest, in two years at the rate of 4.2%?

Anna [14]

Answer:

$168

Step-by-step explanation:

The formula we'll use for this is the simple interest formula, or:

I=Prt

Where:

P is the principal amount, $2000.00.

r is the interest rate, 4.2% per year, or in decimal form, 4.2/100=0.042.

t is the time involved, 2....year(s) time periods.

So, t is 2....year time periods.

To find the simple interest, we multiply 2000 × 0.042 × 2 to get that:

The interest is: $168.00

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:

See comment for complete question.

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

Which is eWhich is equivalent to 3 square root of 125quivalent to ?

Mkey [24]

Answer:

15 $\sqrt{5}$

Step-by-step explanation:

$3\sqrt{125}=3\sqrt{25*5}\\ =3\sqrt{25}*\sqrt{5}\\ =3*5*\sqrt{5}\\ =15\sqrt{5}$

4 0

2 years ago

Round 4,204 to the nearest hundred

Hoochie [10]

Answer:

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hope helpful <3 !!!!!!!!!!!!!

8 0

2 years ago

What is the length of AC¯¯¯¯¯

Nutka1998 [239]

Answer: AC=12 cm

Step-by-step explanation:

To solve this problem you must apply the law of sines, as you can see below:

$\frac{a}{sinA}=\frac{b}{sinB}$

Where:

a=13

A=85.2°

B=71.6°

Therefore, you must solve for b, then, you obtain that the lenght AC asked in the problem above is:

$b={sinB}*\frac{a}{sinA}\\b=\frac{sin(71.6)*13}{sin(85.2)}\\b=12$

5 0

3 years ago

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