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3 years ago

7

Which shows the decimal 0.16 expressed as a fraction in simplest form?

1 answer:

nata0808 [166]3 years ago

3 0

$0.\underbrace{16}_{2}=\dfrac{16}{1\underbrace{00}_{2}}=\dfrac{16}{100}=\dfrac{16:4}{100:4}=\dfrac{4}{25}$

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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:

$Owl= H + 5$

$Owl= 62.14 + 5$

$Owl= 67.14ft$

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2 years ago

What is the combined weight of all the kittens? 1/4 = 4 3/8=2 1/2=2 5/8=2

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Step-by-step explanation:

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2 years ago

Determine whether the solids are similar.

alexandr402 [8]

Answer:

The solids <u>are</u> similar.

Step-by-step explanation:

Every linear dimension of the larger solid is twice that of the smaller solid. Since the scale factor is the same in every direction, the figures <u>are similar</u>.

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Calculate the length of like NO if c = 26 and

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Check the picture below.

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Jessica and Josh are selling Entertainment Books to raise money for the art room at their school. Jessica received the prize for

Over [174]

Answer:

Josh sold 16 books and Jessica sold 240 books

Step-by-step explanation:

Given: Jessica sold 15 times more books than Josh.

Together they sold 256 books

To Find : How many did each one of them sell?

Solution:

Let Jessica sold x books

Let Josh sold y books.

Since we are given that Jessica sold 15 times more books than Josh.

⇒x=15y --a

We are also given that Together they sold 256 books.

⇒x+y=256 --b

Using substitution method

Put value of x from equation a in equation b

⇒15y+y=256

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⇒ $y=\frac{256}{16}$

⇒ $y=16$

Thus Josh sold 16 books

Jessica sold books = 15y = 15*16=240

Hence Josh sold 16 books and Jessica sold 240 books

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3 years ago

Read 2 more answers