Homework Review Flashcardizz 1/6-1/10

Front

What is a scale factor in a drawing?

Back

A scale factor is a ratio that compares the dimensions of a drawing to the actual dimensions of the object. For example, a scale factor of 1:24 means that 1 unit in the drawing represents 24 units in reality.

Front

How do you find the number of dogs if the ratio of cats to dogs is 3:5 and there are 56 animals in total?

Back

To find the number of dogs, first add the parts of the ratio: 3 (cats) + 5 (dogs) = 8 parts. Then, divide the total number of animals (56) by the total parts (8) to find the value of one part: 56 ÷ 8 = 7. Multiply the number of parts for dogs (5) by the value of one part: 5 × 7 = 35 dogs.

Front

How do you convert a percentage to a fraction?

Back

To convert a percentage to a fraction, divide the percentage by 100 and simplify if possible. For example, to convert 35 3/11% to a fraction, first convert it to an improper fraction: 35 3/11% = 35.27% = 35.27/100 = 97/275 after simplification.

Front

What is the sum of angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees. If you know two angles, you can find the third angle by subtracting the sum of the known angles from 180.

Front

How do you calculate the difference in elevation between the highest and lowest points?

Back

To calculate the difference in elevation, subtract the lower elevation from the higher elevation. For example, if Pike's Peak is 14,115 feet above sea level and Death Valley is 282 feet below sea level, the difference is 14,115 - (-282) = 14,115 + 282 = 14,397 feet.

Front

What does a ratio represent?

Back

A ratio represents a relationship between two quantities, showing how many times one value contains or is contained within the other. For example, a ratio of 3:5 means for every 3 of one quantity, there are 5 of another.

Front

What is the definition of a fraction?

Back

A fraction represents a part of a whole and is expressed as a numerator (top number) over a denominator (bottom number). For example, in the fraction 1/2, 1 is the part and 2 is the whole.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify 8/12, the GCD is 4, so 8 ÷ 4 = 2 and 12 ÷ 4 = 3, resulting in 2/3.

Front

What is the formula for finding the area of a triangle?

Back

The area of a triangle can be found using the formula: Area = 1/2 × base × height.

Front

What is the relationship between degrees and radians?

Back

Degrees and radians are two units for measuring angles. To convert degrees to radians, multiply by π/180. For example, 60 degrees = 60 × π/180 = π/3 radians.