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Anit [1.1K]
4 years ago
8

The Washington Monument in Washington, D.C., is about 556 ft. tall. A three-dimensional puzzle of the Washington Monument is 24

in. tall. What is the ratio of the height of the puzzle to the height of the real monument?
Mathematics
1 answer:
Umnica [9.8K]4 years ago
8 0
Set up a ratio. But first convert the height of the puzzle to feet so we are comparing the same unit of measure.


STEP 1
convert 24 inches to feet

12 inches= 1 foot

24 inches= 2 feet


STEP 2
set up ratio.

= 2 feet/556 feet or 2:556
simplify both by 2

= 1 ft/278 ft or 1:278


ANSWER: 1/278 or 1:278 (can be written either way)

Hope this helps! :)
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A boat leaves a dock at 3:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due east at 15 km/h a
madam [21]

Answer:

The distance is minimized 22 minutes after 3:00 pm.

Step-by-step explanation:

Let t is the time for the 2 boats after 3:00 pm, we have the distance of:

  • Boat 1: 20t
  • Boat 2: 15t and its distance to the dock is given by (15-15t)

The paths of the boats form a right triangle, in which the hypotenuse (also the distance between the two boats) is:

D = (20t)² + (15 - 15t)²

<=> dD/dt = -2(15² )( 1-t ) +2 × 20² × t

<=> dD/dt = 2 (15² + 20²) × t -2 ( 15 )² = 0

<=> t = 2 ( 15 )² : 2 (15² + 20²)  

<=> t = 0.36 hours = 0.36 × 60 = 21.6 minutes ≈ 22 minutes

Therefore, the distance is minimized 22 minutes after 3:00 pm.

7 0
3 years ago
Read 2 more answers
On a map, Norristown is 18 miles south of Lincoln, and Lincoln is 29 miles west of Allenport. Find the distance from Norristown
Nana76 [90]

Answer:34.1

Step-by-step explanation:

4 0
3 years ago
If B is the midpoint of AC and the length of AC is 23.8 what is the legength of AB
swat32
Hey there,

So explain and to illustrate (how B is the midpoint of AC and the length of AC is 23.8 what is the length of AB

<span>                                       A-----------------B----------------C
</span>
So, \boxed{AC} in the problem here is to be considered the (Whole area of this line). AC is the whole thing. 

So, what we do in this problem, we do . . .

23.8 ÷ 2 because we need to find what is AB, so we will find the one half of it, which in this illustration is to be considered AB

23.8 ÷ 2 = \boxed{11.9}

\boxed{AB=11.9}

Hope this helps.
~Jurgen

4 0
4 years ago
Can someone plz help me dont know the awnser
Bumek [7]
The area of the right triangle = \frac{1}{2}bh

b = base = SV = 12.3
h = hight = HL = 24.6
A = area
\frac{1}{2}bh = A
\frac{1}{2}(12.3)(24.6) = 151.29
4 0
3 years ago
I need help what’s the answerrr?!!?
Ilya [14]

Answer:

If you round the answer, you'll get 4000

3 0
3 years ago
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