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Aloiza [94]
4 years ago
14

Match the vocabulary word with its definition. factor tree an approximate value close to the actual value estimation the smalles

t multiple that any given numbers have in the common least common denominator the amount of time that passes between the start of an event to the end of an event equivalent fractions the line between the numerator and the denominator of a fraction bar a number that shows part of a whole factor the least common multiple of two or more denominators elapsed time a fraction in which the numerator is larger than or equal to the denominator denominator the largest factor that any given numbers have in common least common multiple a number that divides evenly into another number improper fraction fractions with the same numerical value; fractions that are equal to each other fraction an organized way of finding the prime factorization of a number greatest common factor the number under the fraction line; tells how many equal parts the whole was broken into
Mathematics
1 answer:
Natali [406]4 years ago
8 0

Answer:

Step-by-step explanation:

Composite number

a whole number that has factors other than just 1 and itself

Divisible

able to be divided by a given whole number without a remainder

Factor

a whole number that divides into another number without a remainder

Factor tree

a tree-like structure that uses branches to show the factors of a number

Multiple

the product of a given number and another whole number

Prime factorization

an expression that shows a number expressed as a product of prime numbers

prime number

a whole number that has only two factors, 1 and itself

product

the answer to a multiplication problem

GCF

greatest common factor of a set of numbers

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Step-by-step explanation:

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3 years ago
Two altitudes of a triangle have lengths $12$ and $14$. What is the longest possible integer length of the third altitude
nataly862011 [7]

The longest possible altitude of the third altitude (if it is a positive integer) is 83.

According to statement

Let h is the length of third altitude

Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.

From Area of triangle

A = 1/2*B*H

Substitute the values in it

A = 1/2*a*12

a = 2A / 12 -(1)

Then

A = 1/2*b*14

b = 2A / 14 -(2)

Then

A = 1/2*c*h

c = 2A / h -(3)

Now, we will use the triangle inequalities:

  • a < b+c

2A/12 < 2A/14 + 2A/h

Solve it and get

h<84

  • b < a+c

2A/14 < 2A/12 + 2A/h

Solve it and get

h > -84

  • c < a+b

2A/h < 2A/12 + 2A/14

Solve it and get

h > 6.46

From all the three inequalities we get:

6.46<h<84

So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.

Learn more about TRIANGLE here brainly.com/question/2217700

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2 years ago
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Prime: 3,17,31

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The answer of this question is 11.7
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