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Alenkinab [10]
3 years ago
11

An exhibit at Tabu World Square in Japan includes a scale model of the Empire State Building. The model was built using a scale

of 1 m : 25 m. The height of the actual Empire State Building is 443.2 meters. What is the height of the model? Round your answer to the nearest thousanths place.
Mathematics
1 answer:
JulsSmile [24]3 years ago
3 0
The scale is 1 m : 25 m.
The actual height = 443.2 m

Therefore the scaled height is 443.2/25 = 17.7280 m

Answer: 17.728 m (nearest thousandth)
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Half an hour after leaving her house Beverly was 20 miles from home. At this point she merged onto the highway and was traveling
N76 [4]

Answer:

1. 45.71 miles

2. 10 miles

3. 89.43 miles

4. 0.79 hr

5. 0.025 hr

Step-by-step explanation:

speed = distance/time

After 4 hrs Beverly was 200 miles from home , however she had spent 0.5hr travelling for 20 miles prior to getting to the highway.

Therefore;

Constant speed before Highway = 20/0.5 = 40 miles/hr

Constant speed at Highway = \frac{(200-20)}{(4-0.5)} = 51.43 miles/hr

1. in 1 hr beverly will have travelled;

⇒ (20 miles in 0.5 hr ) + (0.5 hr  at speed 51.43 miles/hr)

⇒ 20 + (0.5 x 51.43) = 45.71 miles

2. In 0.25 hr beverly had not reached the highway

⇒ distance = speed x time

⇒ distance = 40 x 0.25 = 10 miles

3. in 1.85 hrs beverly will have travvelld;

⇒ (20 miles in 0.5 hr ) + (1.35 hr at speed 51.43 miles/hr)

⇒ 20 + 69.43 = 89.43 miles

4. Time taken to get to 35 miles

⇒ (20 miles in 0.5 hr ) + (15 miles  at speed 51.43 miles/hr)

⇒ 0.5hr + (15/51.43) hr = 0.79 hr

5. Time taken to travel 1 mile

 ⇒ time = distance / speed = 1 mile  / 40 miles/hr

⇒ time = 0.025 hr

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What is the slope intercpet form of a line that goes through (-1,2) and (0,3)
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3 years ago
Write the given phrase as an algebraic expression. Use the variable x to represent the unknown number.
Alchen [17]
Hello! I would love to help!

Let's start with this part of the equation: "the sum of a number and seven"

Alright. We know that x represents an unknown number. Do you see a part of the equation that could translate to "an unknown number?"

I see "a number." So let's fill X in for "a number.

Alright. So now we have "the sum of x and 7."

Next, let's remember that sum means adding. So we just need to 7 to x

X+7


So, now instead of "the sum of a number and 7" we have x+7.

Alright. Now we just have to do the "twice." When it is asking for "twice", it is asking us to multiply our answer by two. But we need to multiply both x and 7. The best way to do that is to put our "x+7" in parenthesis and put a two outside.

2(x+7)


That's your answer! 2(x+7)


Hope this helped! Comment if you have any questions!
5 0
3 years ago
Rewrite the equation 2x + 4y + 2 = 3y + 5 in general form. A. 2x + 7y + 7 = 0 B. 2x + y – 3 = 0 C. 2x + y = 3 D. y = –2x + 3
kvasek [131]
2x + 4y + 2 = 3y + 5
2x + 4y - 3y + 2 - 5 = 0
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7 0
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You want to calculate the displacement of an object thrown over a bridge. Using -10 m/s^2 for acceleration due to gravity, what
MrRissso [65]

<u>Answer</u>

<em>The total displacement of the object is 320 m</em>

<u>Solution-</u>

From the formulas of mechanics,

s=ut+\frac{1}{2}at^{2}

Where,

s = displacement

u = initial velocity = 0               ( ∵ As the body was in rest in the beginning )

t = time taken = 8 s

a = acceleration = -10 m/s²      ( ∵ -ve is because of the downward motion)

Putting all the values,

s= 0 \times 8 + \frac{1}{2}(-10)8^{2} = -320 \ m ( ∵ -ve displacement means it is in downwards)

5 0
3 years ago
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