An algebraic expression is an expression which consists of variables, coefficients, constants, and mathematical operators such as addition, subtraction, multiplication and division. Generally, if two things are the same, then it is called equivalent.

Step-by-step explanation:

3 0

3 years ago

The sides of an equilateral triangle are 8 units long.what is the length of the altitude of the triangle?

dedylja [7]

Answer:

Equilateral triangle implies each angle is 60 degree.

And any median is the altitude.

So, NT perpendicular LM, where T is the midpoint of [ML];

We use the Pythagorean Theorem in right triangle NTL ( NT = h; NL = a;

LT = a / 2 );

h² = a² - (a/2)² = a² - a²/4 = 4a²/4 - a²/4 = 3a²/4 ;

It follows that

h = √(3a²/4) = a√3/2 ≈ 0,866*a;

But, a = 8;

h ≈ 0,866 * 8 ≈ 6,928;

Step-by-step explanation:

6 0

4 years ago

Over the last 16 years Johanna saved some of her pay each month. She now has $46000. She decided to invest some of it at 5.25%

goldfiish [28.3K]

Answer:

what is the question?

do you have to find how much she is investing?

6 0

2 years ago

singh works at a restaurant where he is paid by the hour plus time and a half for his hours over 40. last week he worked four ho

padilas [110]

Answer:

$8.5 per hour

Step-by-step explanation:

Number of overtime hours = 4 hours

Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours

Total amount earned = $391

Let Hourly pay = x

Overtime pay = 1 1/2x = 3/2x

Therefore ;

40x + (4*3/2x) = 391

40x + 6x = 391

46x = 391

x = 391 / 46

x = 8.5

Hourly pay = $8.5 per hour

7 0

3 years ago