A landscaping company was hired to build pathways to a duckpond. One pathway needs to be tangent to the pond, and the other will become a bridge that crosses over the water. Use the diagram below to answer Part A and Part B.

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

A landscaping company was hired to build pathways to a duckpond. One pathway needs to be tangent to the pond, and the other will become a bridge that crosses over the water. Use the diagram below to answer Part A and Part B.

Part A: Determine the length of the bridge. Use mathematics to explain how you arrived at your answer.

Part B: The contractor is charging $1500 a foot to construct the bridge, if your budged for the bridge is $150000, will you have enough money to pay for the bridge?

Part A: The length of the bridge is 80 feet.

Part B: The budget for the construction of bridge ($150,000) is less than the cost of constructing bridge ($120,000) therefore, we have enough money to pay for the bridge.

Step-by-step explanation:

Part A:

Refer to the attached diagram, here cd is the tangent segment and and ac is the secant.

From the properties of tangent of a circle, we have the following relation,

ac/cd = cd/bc

ac*bc = cd²   eq. 1

Let x is the length of the bridge that we want to find out.

ab = x

and

bc = 10 feet

ac = ab + bc

ac = x + 10

cd = 30 feet

so the eq. 1 becomes

ac*bc = cd²

(x + 10)(10) = 30²

10x + 100 = 30²

10x + 100 = 900

10x = 900 - 100

10x = 800

x = 800/10

x = 80 feet

Therefore, the length of the bridge is 80 feet.

Part B:

Cost per foot = $1500

Length of the bridge = 80 feet

Total cost of constructing bridge = $1500*80

Total cost of constructing bridge = $120,000

The budget for the construction of bridge ($150,000) is less than the cost of constructing bridge ($120,000) therefore, we have enough money to pay for the bridge.

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step-by-step explanation:

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.