Answer:
a third 1/3
Step-by-step explanation
first write the equation
express 8 to power form = 2^3x don't forget the unknown , which is x
it becomes ; 2^3x = 2^1
since the base numbers are same, cancel them.
equate the powers ; 3x=1
divide both sides by the number next to the unknown to get the answer.
Answer:
559.70 ft
Step-by-step explanation:
Let D be the distance between building and Bianca.
Height of building H = 150 ft
Let there be a triangle ABC where, AC = height of building H= 150ft, AB = distance between Alice and Bianca and BC = D and therefore, ∠ABC = 15°.
Now in Triangle ABC , tanB = AC/BC
therefore, tan15° = 150/D
D = 150/tan15° = 559.70 ft
Therefore, the distance between building and Bianca D = 559.70 ft
You find three times that number.
Answer:
13
Step-by-step explanation:
Let PS = x and RP = x-5
Using Pythagorean theorem on the two smaller rt triangles formed,
6^2 + x^2 = (ST)^2
6^2 + (x-5)^2 = (RT)^2
Now use Pythag on big triangle and sub in above values:
(2x-5)^2 = 6^2 + x^2 + 6^2 + (x-5)^2
Multiply out and simplify to
x^2 - 5x -36 = 0
Factor the quadratic: ((x-9)(x+4)=0 Therefore x=9 or x=-4. We may disregard the negative answer so x = 9. So PS is 9 and RP is 4.
Therefore entire hypotenuse is 4 + 9 or 13.
Answer:
Step-by-step explanation:
In Mathmatics there are certain words to describe symbols for example of in this situation of is used as a multiplication sign there are also other words used to describe multiplication like per, times, and doubles.
So now that we know the of is a multiplication sign we can insert it in the problem.
So using PEMDAS which stands for
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
So we first multiply and we get .
Then we add and we get .