the area of a triangle is 124 square units. what would it's new area be if its base was half as long and its height was three times as long?

Answers

Answer 1

Answer: To solve this problem you must apply the proccedure shown below:

1. You have that the formula for calculate the area of a triangle is:

A=bh/2

Where A is the area of the triangle, b is the base of the triangle and h is the height of the triangle.

bh/2=124
bh=124x2
bh=248

2. The problem asks for the new area of the triangle if its base was half as long and its height was three times as long. Then, you have:

Base=b/2
Height=3h

3. Therefore, when you substitute this into the formula for calculate the area of a triangle, you obtain:

A'=bh/2

(A' is the new area)

A'=(b/2)(3)/2
A'=3bh/4

4. When you substitute bh=248 into A'=3bh/4, you obtain:

A'=186 units²

The answer is: 186 units²

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Answers

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When I was 2 years old, my sister was half of my age. Now Im 80 years old, how old is my sister?

Answers

Half of 2 = 1 so 1 year apart . That means

80-1 = 79 years

if u were 2 years old n your sister was half your age then her age must be 1
so her present age is 80-1=79(since she was just one year smaller than u)

Solve the following system of equations:4x + 7y − 2z = 0
3x − 5y + 3z = 9
3x + 6y − z = 1

(−1, 0, −2)
(1, 0, −2)
(−1, 0, 2)
(1, 0, 2)

Answers

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Answer D (1,0,2) (méthode du pivot de Gauss)

Megan is trying to remember her password for her computer. All she can remember is that it is 2 letters followed by 3 digits.How many possible combinations are there for Megan's password?

A. 1,560

B. 1,676

C. 468,000

D. 492,804

E. 676,000

Answers

The number of permutations possible is 468000.

What is permutation?

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

The first two places are occupied by letters.

The last 3 places are occupied by numbers.

The permutation for the first 2 places is: $26P_2$