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Dahasolnce [82]
3 years ago
9

The diagram below shows some measurements taken from a new bridge. How long is the bridge?

Mathematics
1 answer:
neonofarm [45]3 years ago
6 0

Answer:

1,737.3 feet

Step-by-step explanation:

Let's assume the length of the bridge consists of 2 right triangles as shown in the diagram. Use pythagorean theorem to find the other missing leg of each right triangle.

Let the missing leg for each triangle be x and y respectively.

Length of bridge = x + y

✔️x = √(1115² - 860²) = √503,625

x ≈ 709.7 (nearest tenth)

✔️y = √(1340² - 860²)

y ≈ 1,027.6 (nearest tenth)

✔️ Length of bridge = 709.7 + 1,027.6 = 1,737.3 ft

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Answer:

Simplifying

T = C(9 + AB) * forB

Reorder the terms for easier multiplication:

T = C * forB(9 + AB)

Multiply C * forB

T = forBC(9 + AB)

T = (9 * forBC + AB * forBC)

Reorder the terms:

T = (forAB2C + 9forBC)

T = (forAB2C + 9forBC)

Solving

T = forAB2C + 9forBC

Solving for variable 'T'.

Move all terms containing T to the left, all other terms to the right.

Simplifying

T = forAB2C + 9forBC

Step-by-step explanation:

Simplifying

T = C(9 + AB) * forB

Reorder the terms for easier multiplication:

T = C * forB(9 + AB)

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T = forBC(9 + AB)

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2 years ago
Here’s a graph of a linear function. write the equation that describes that function
sergeinik [125]

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y=1/2x+4

Step-by-step explanation:

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Slope intercept form is Y=mx+b.

8 0
3 years ago
Simplify! (a^3b)(abc)<br><br> A) a^2bc^5<br> B) a^4b^2<br> C) a^4b^2c<br> D) a^4bc
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What is the percentage increase of a room that is the size of 96 square feet to a room that is 108 square feet?
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Answer:

12.5% increase OR 112.5% Percentage of Change

Step-by-step explanation:

For this problem consider that our original maximum value is 96 square feet, but our new maximum value is 108 square feet. So to find the change as a percentage (in this case the increase) use the following formula:

Percentage of Change = ( New Maximum / Old Maximum ) * 100

So, let's use this formula to find the percentage change of the room.

Percentage of Change = ( 108 / 96 ) * 100

Percentage of Change = (1.125) * 100

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