1. The length of the hypotenuse is 13 inches. The length of one leg is 5 inches. What is the length of the other leg? 2. A 20-foot ladder is placed against the side of a house. The bottom of the ladder is 12 feet from the house. How high up will the ladder reach on the wall? a + b2 = c2 52 + b2 = 132 25 + b2 = 169 25 - 25 + b2 = 169 - 25 b2 = 144 b = V144 = 12 %3D %3D %3D Answer . 12 inches Answer. 3. Marco drives 18 miles south, turns east, and then drives 24 miles to get from his pet shop to his house. If a new road is built in 'a straight line from Marco's shop to his house, how long will the new road be? (Hint: Draw a right triangle with the information given.) 4. The community van service travels on a 40-mile route west from the airport to downtown. From downtown, the bus goes 30 miles north to the city bus station at Cortland. What is the length of the direct bus trip directly from Cortland back to the airport? (Hint: Draw a picture of the van's route.) Answer Answer

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.