N is an integer and -2

While planning a hiking trip, you examine a map of the trail you are going on hike. The scale on the map shows that 2 inches rep

Marrrta [24]

Answer:

8.0

Step-by-step explanation:

eight inch big ooo thats the pick

7 0

3 years ago

A pole that is 3.1m tall casts a shadow that is 1.46m long. At the same time, a nearby building casts a shadow that is 36.75m lo

Mademuasel [1]

You have to find the angle of sunlight and the pole , which then cast a shadow
length of the pole is equal to 3.1m
creating a hypotenuse of 4.52m
the angle will be
[email protected] = opposite side / hypotenuse
= 1.46/4.52
= 0.32 that's 18.66 °
now for the building sin18.66° = opposite/hypotenuse
0.32 = 36.75/ hypotenuse
hypotenuse = 114.84 m
thus using Pythagoras theorem
114.84*114.84 = 36.75*36.75 + x^2
which comes around = 108.8 roughly 109 metres long

4 0

3 years ago

Coordinates (-3, 5), ( -3, 8), and (2, 5). The triangles was dilated by a scale favtor of 3. What is the area of the dilated tri

Otrada [13]

Answer:

The area of the triangle is 7.5 unit²

Step-by-step explanation:

Here we have the coordinates given as

(-3, 5) (-3, 8) and (2, 5)

Let us call the points A = (-3, 5)

B = (-3, 8) and

C = (2, 5)

Therefore the lengths of the sides of the triangle are

AB = a = $\sqrt{(-3-(-3))^2+(5-8)^2} = 3$

AC = b = $\sqrt{(-3-2)^2+(5-5)^2} = 5$

BC = c = $\sqrt{(-3-2)^2+(8-5)^2} = \sqrt{34}$

Therefore the Area can be derived from Heron's formula which is

A = $\sqrt{s\times (s-a)\times (s-b)\times (s-c)}$ where s = semi perimeter or (a + b + c)/2

Therefore, plugging the values, we get

s = (3 + 5 + √34)/2 = 6.9155≈6.92

A = $\sqrt{6.92\times (6.92-3)\times (6.92-5)\times (6.92-\sqrt{34} )}$ = 7.499≈7.5.

7 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=3x%20%2B%20%28-2x%29%20%2B%202%20%3D" id="TexFormula1" title="3x + (-2x) + 2 =" alt="3x + (-2x

Oduvanchick [21]

The answer is 3x simplified
Evaluated 3x
Find the exact value is 3x

6 0

3 years ago

Ralph Chase plans to sell a piece of property for $170000. He wants the money to be paid off in two waysminusa short-term note

PSYCHO15rus [73]

Answer:

Amount of short term note = $90,000

Amount of long term note = $80,000

Step-by-step explanation:

Data provided in the question:

Total amount = $170,000

Interest rate of short term note = 10%

Interest rate in long term note = 8%

Total annual interest paid = $15,400

Now,

Let the amount of short term interest be 'x'

thus,

amount of long term interest will be ($170,000 - x)

also,

Interest on short term note + Interest on long term note = Total interest

or

⇒ 0.10 × x + 0.08 × ($170,000 - x) = $15,400

or

0.1x + $13,600 - 0.08x = $15,400

0.02x = $15,400 - $13,600

or

0.02x = $1,800

or

⇒ x = $90,000

Hence,

Amount of short term note = $90,000

Amount of long term note = $170,000 - $90,000 = $80,000

7 0

4 years ago