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3 years ago

Valeria and Christina both want to run for class president. In order to appear on the ballot,

Mathematics

1 answer:

Burka [1]3 years ago

5 0

Answer:

10 days

Step-by-step explanation:

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Steve travels 5 times as fast as Kevin. Traveling in opposite directions, they are 390 miles apart after 5 hours. Find their rat

Kaylis [27]

Answer:

steve=65 mph

kevin=13 mph

Step-by-step explanation:

steve=s

kevin=k

s=5

k=1

1=5=6

390 divided by 6 equals s 65

divide further by 5 which equals k 13

3 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

3 years ago

The city has a section of land that is 3,694.7 feet long. The city wants to partition this lengths to form 10 equal-sized garden

Soloha48 [4]

Answer:

369.47 ft

Step-by-step explanation:

Each plot is 1/10 of the total length, so has length ...

(3694.7 ft)/10 = 369.47 ft

5 0

4 years ago

What is the answer to <br>-5+62×(-2)?

ladessa [460]

-129 is the anwser to ur problem

3 0

3 years ago

Read 2 more answers

Find the median for the data set: 3,12,35,12,9,6,3,3,3,3,9,3

elena-s [515]

I’m pretty sure the answer is 6

4 0

4 years ago