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Kaylis [27]
1 year ago
8

City planners are creating a 3-dimensional model of a city park to find the best placement for a new tennis court. The city park

is on a rectangular plot of land that is 1,500 ft long and 600 ft wide. The scale model of the park measures 7.5 ft x 3 ft. If the dimensions of the actual tennis court must be 120 ft long and 60 ft wide, what are the dimensions of the tennis court in the scale model? Note: If the answer is a decimal, include a leading zero. For example, enter 0.5 instead of .5
Length= ft.
width= ft.
Mathematics
1 answer:
belka [17]1 year ago
7 0

Hello!

To find our scale factor, let's divide our real length (1,500) by our scale length (7.5)

1,500/7.5=200

Now, we divide our tennis court dimensions by 200.

120/200=0.6

60/200=0.3

Therefore, our answers are below.

Length: 0.6 feet

Width: 0.3 feet

I hope this helps!

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sdas [7]

Answer:

P(t) = 1000e^(0.01155)t

Step-by-step explanation:

Let the population of barangay be expressed according to the exponential formula;

P(t) = P0e^kt

P(t) is the population of the country after t years

P0 is the initial population

t is the time

If barangay has 1000 initially, this means that P0 = 1000

If the population doubles after 60years then;

at t = 60, P(t) = 2P0

Substitute into the formula

2P0 = P0e^k(60)

2 = e^60k

Apply ln to both sides

ln2 = lne^60k

ln2 = 60k

k = ln2/60

k = 0.01155

Substitute k = 0.01155 and P0 into the expression

P(t) = 1000e^(0.01155)t

Hence an exponential model for barangay's population is

P(t) = 1000e^(0.01155)t

7 0
2 years ago
On this map, Oxford Street is perpendicular to_______ , and Rosewood Street is perpendicular to ________. Assume that the street
melamori03 [73]
Hi there!

We are looking for perpendicular angles, which means the angle between the streets is 90 degrees. So, each time we need to find the street that intersects the given street with a 90 degree angle.

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The answers are (in correct order): Waterloo St. and Oak St..
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What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.
Ugo [173]
I believe the correct answers are:

<span>UV = 14 ft and m∠TUV = 45°</span>
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Or, in other words, Options A and D.
</span>
6 0
2 years ago
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Grace has 1.35 pounds of strawberries, 1.4 pounds of bananas, and some apples. She has more pounds of apples than pounds of stra
satela [25.4K]

Answer:

Grace could have 1.36 pounds, 1.37 pounds, 1.38 pounds or 1.39 pounds of apples.

Step-by-step explanation:

Let a represent pounds of apples.

We have been given that Grace has 1.35 pounds of strawberries. She has more pounds of apples than pounds of strawberries.

This means that a is greater than 1.35. We can represent this information in an inequality as:

a>1.35

We are also told that Grace has 1.4 pounds of bananas. She has fewer pounds of apples than pounds of bananas. This means that a is less than 1.4. We can represent this information in an inequality as:

a

Upon combining both inequalities, we will get:

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