Find n.<br> 2/9=14/n<br> n=____

xenn [34]

Hello thanks hope you have a good day!

3 0

3 years ago

Tim and holly left base camo and hiked 6 kilometers north, and turned due west and hiked another 8 kilometers. They stopped and

Marysya12 [62]

Answer:

10 km

Step-by-step explanation:

The Angle formed by their travel is a right angled triangle (check attached picture) , hence we can apply Pythagoras rule :

Hypotenus = sqrt(opposite² + Adjacent²)

Hypotenus = distance hiked after lunch :

D = sqrt(6² + 8²)

D = sqrt(36 + 64)

D = sqrt(100)

D = 10 km

5 0

3 years ago

In the Stone Ridge apartment complex 35% of the apartments have one bedroom if there are 49 one bedroom apartments what is the t

Softa [21]

Answer:

140

Step-by-step explanation:

Given:

In the Stone Ridge apartment complex 35% of the apartments have one bedroom.

If there are 49 one bedroom apartments.

Question asked:

What is the total number of apartments at Stone ridge ?

Solution:

<u>Let total number of apartments at Stone ridge</u> = $x$

Now according to question:

35% of the total apartments having one bedroom = 49

$35\%\ of x = 49$

$\frac{35}{100}\times x = 49$

$\frac{35x}{100} = 49$

By cross multiplication:

$35x = 49\times100\\35x= 4900\\$

By dividing both sides by 35

$\frac{35x}{35} = \frac{4900}{35} \\x = 140$

Therefore, total number of apartments at Stone ridge is 140

4 0

3 years ago

Find the height of a tree of angle of elevation of its top changes from 25 degree to 50 degree as the observer advance 15m towar

Natali5045456 [20]

Answer:

11.5 m

Step-by-step explanation:

The problem can be solved using a trig relation that relates the side opposite the angle to the side adjacent to the angle. That relation is ...

Tan = Opposite/Adjacent

The lengths of the adjacent sides of the triangle can be found by rearranging this formula:

Adjacent = Opposite/Tan

__

The "opposite" side of the triangle is the height of the tree, which we can represent using h. The problem statement tells us of a relation between adjacent side lengths and angles:

h/tan(25°) -h/tan(50°) = 15 . . . . . moving 15 meters changes the angle

h(1/tan(25°) -1/tan(50°)) = 15

h = 15·tan(25°)·tan(50°)/(tan(50°) -tan(25°)) = 15(0.55572/0.72545)

h ≈ 11.4907 . . . . meters

The height of the tree is about 11.5 meters.

7 0

3 years ago

The name of every student taking Algebra was listed alphabetically and numbered. The teacher uses

baherus [9]

Answer:

The number will be -63

Step-by-step explanation:

Here, we want to give the number of the chosen 25th student

We can see that the numbering follows an arithmetic sequence where a = 9 and d which is the common difference is (6-9) = -3

Mathematically, we can calculate the nth term using the equation below;

Tn = a + (n-1)d

in this case, n = 25, a = 9 and d = -3

So we have

Tn = 9 + (25-1)-3

Tn = 9 -3(24)

Tn = 9-72

Tn = -63

4 0

3 years ago

Find n. 2/9=14/n n=_____