Answer:
50
Step-by-step explanation:
The figure represents a 30-60-90 special triangle
in this special right triangle the measure of sides lengths is represented by
a, a
, and 2a
The side length that sees angle measure 30 is represented by a and here we see a = 50m
The height of the building, which sees angle measure 60, is equal to
50
Answer:
.
Step-by-step explanation:
Let
and
denote the two endpoints.
The formula for the midpoint of these two points would be:
.
(Similar to taking the average of each coordinate.)
In this question, it is given that
whereas
. Substitute these two values into the expression for the coordinate of the midpoint:
-coordinate of the midpoint:
.
-coordinate of the midpoint:
.
Solve these two equations for
and
:
whereas
.
Hence, the coordinate of the other point would be
.
Given
Rob is twice Joshua's age
Nick is 5 years older than Joshua.
sum of all their ages is 45.
Find the age of nick.
To proof
As given
Rob is twice Joshua's age
let Joshua's age = x
than Rob age = 2x
Nick is 5 years older than Joshua.
Nick age = 5 + x
sum of all their ages is 45
than the equation becomes
Joshua's age + Rob age + Nick age = 45
put the value
x + 2x + 5 + x = 45
4x = 40
x = 10
Joshua's age = 10 year
than Rob age = 20 year
Nick age = 5 + 10
= 15year
Hence proved
1. To find the degree of the polynomial find the variable with the highest exponent, in this case is y^4 which means the degree of the exponent is 4.
2. 1, 2 and 3 are polynomials because there are more than one terms in the expression.
3. It would be a quadratic trinomial.
4. It would be a cubic binomial.