All categories

2 years ago

If H between N and S, HN = 20 cm , and HS = 6 cm , then NS=

Mathematics

1 answer:

MaRussiya [10]2 years ago

7 0

Answer:

Step-by-step explanation: I always like to make sure I am clear about the question. It seems like the question is:

you have 3 variables; H, N, and S. Using ( ) to represent multiplication

(H)(N) = 20cm [H times N is equal to 20 cm]

and

(H)(S) = 6cm [H times S is equal to 6 cm]

then what does

(N)(S) = ? [N times S equals what?]

since H is used in both equations, we know they are the same number, so H has to be a number that is a factor (meaning what are the individual numbers in a multiplication equation)

Since (H)(N) = 20 H represents one of the individual numbers. And the factors of 20 are (1, 2, 4, 5, 10. 20)

Since (H)(S) = 6 H represents one of the individual numbers. And the factors of 6 are (1, 2, 3, 6)

The only number that is the same in each group of factors is 2

So H = 2. Now we can replace H with the number 2

(H)(N)=20 is (2)(N) = 20; Then you divide both sides by 2 and you get

(2)(N)/2 = 20/2 ; the 2 on the left side cancel each other and 20/2 = 10

N =10

You do the same process for (H)(S) = 6

(2)(S) = 6

(2)(S)/2 = 6/2

S = 3

(N)(S) = ?

(10)(3) = 30 cm

so 30 cm is the answer

You might be interested in

The diagram above contains contradictory information. Explain the contradiction.

Anarel [89]

Since these are alternate interior angles, they should be congruent. Equating the measures given:
-x - 30 = 5x - 30
x = 0
However, this is not true, since the diagram clearly shows that there is a positive angle between them.
The best answer is choice B.

6 0

2 years ago

Read 2 more answers

John painted his most famous work,in his country,in 1930 on composition board with perimeter 103.48 in. If the rectangular paint

Alexxandr [17]

Answer:

Width $=22.955$ in

length $=28.785$ in

Step-by-step explanation:

let width $=x$

painting is $5.83$ in taller than it is wide

length $=x+5.83$

Perimeter of rectangle $=2$ (length+width)

Perimeter of painting $=103.48$

$2(x+x+5.83)=103.48\\2x+5.83=51.74\\2x+51.74-5.83\\2x=45.91\\x=\frac{45}{2} \\x=22.955$

width $=x=22.955$ in

length $=x+5.83=22.955+5.83=28.785$ n

5 0

2 years ago

Old faithful in Yellowstone National Park shoots water 60 feet into the air that casts a shadow of 42 feet. What is the height o

Serhud [2]

Answer:

The height of near by tree will be 90 feet.

Step-by-step explanation:

Considering the water triangle as shown in figure a.

As the old faithful shoots water 60 feet into the air that casts a shadow of 42 feet.

Considering the tree triangle as shown in figure a. The tree triangle has a shadow 63 feet long.

Let x be the height of near by tree that cost a shadow 63 feet long.

Assuming that the triangles are similar

So,

the ratios of similar triangles will be related as:

$\frac{63}{42}=\frac{x}{60}$

$\mathrm{Switch\:sides}$

$\frac{x}{60}=\frac{63}{42}$

${x}=60.\frac{63}{42}$

$x=90$ feet

Therefore, the height of near by tree will be 90 feet.

Keywords: ratio, similar triangle

Learn more about similar triangle from brainly.com/question/10161974

#learnwithBrainly

7 0

2 years ago

Sandra wants to rent a car to take a trip and has a budget of $90. There is a fixed rental fee of $30 and a daily fee of $10. Wr

nikdorinn [45]

Option B is the correct answer

Step-by-step explanation:

Step 1 :

Given,

Maximum budget Sandra has for the trip is $90

Fixed rental fee = $30

Daily fee = $10

Step 2 :

Let x be the number of the days for which Sandra can go for the trip

If the daily fee is $10, the cost for x number of days would be 10*x

the fixed fee is $30

So the equation is represent the cost of the trip is 30 + 10 x

given that the maximum budget is $90, the above cost should always be less $90

So the required inequality is 30 + 10x ≤ 90

Option B is the correct answer

4 0

2 years ago

The height of an arrow shot upward can be given by the formula s = v0t - 16t2, where v0 is the initial velocity and t is time. H

Lina20 [59]

The arrow is at a height of 48 ft after approximately 0.55 seconds and after 5.45 seconds.

Explanation

The given formula is: $s=V_{0}t-16t^2$

If the initial velocity is 96 ft/s , that means $V_{0}=96$

For finding the time the arrow takes to reach a height of 48 ft, we will plug $s= 48$ into the above formula. So......

$48=96t-16t^2\\ \\ 16t^2-96t+48=0\\ \\ 16(t^2-6t+3)=0\\ \\ t^2-6t+3=0\\ \\ t^2-6t =-3\\ \\ t^2-6t+9=-3+9\\ \\ (t-3)^2 = 6\\ \\ t-3= \pm \sqrt{6} \\ \\ t=3\pm \sqrt{6}\\ \\ t = 5.45 , 0.55$

So, the arrow is at a height of 48 ft after approximately 0.55 seconds and after 5.45 seconds.

7 0

2 years ago

Read 2 more answers