Answer:
A= 57° , a= 7.79 and c = 14.30
Step-by-step explanation:
In a given right triangle,
We have, b =12 ,B =33° and C =90°
We can find Angle A.
Angle sum property of triangle:
i.e A + B + C = 180°
A + 33° + 90° = 180°
A = 57°
Next, by using trigonometry
tanB = Perpendicular /Base = a /b
Here B =33° , a = ? , b = 12
So, tan 33° = a/12
0.6494 = a/12
a = 7.79
So we got a and b. By using Pythagoras theorem we determine c.
c^2 = a^2 + b^2
c^2 = 7.79^2 + 12^2
c = √(2046841) = 14.30
Answer:
b
Step-by-step explanation:
The expression which describe the situation is,
⇒ (1 - 1/3) × 1/6
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division
Given that;
When you make a large bowl of salad with your friends. Your brother eats 1/3 of it.
Now,
Let total amount of salad = 1
Amount of salad after brother eating = 1 - 1/3 = 2/3
And, Amount of salad for diving into 6 friends = 2/3 × 1/6
= 1/9
So, Each friend get 1/9 of a salad.
Thus, The expression which describe the situation is,
⇒ (1 - 1/3) × 1/6
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B evaluate the expression how much will George pay for carpeting
Answer:
The expression of the total amount George pay for carpeting is x = 385 × 3.50 .
$ 1347.5 will George will pay for carpeting .
Step-by-step explanation:
Formula
Area of the rectangle = Length × Breadth
Area of a square = a²
Where a is the side of the square .
As given
George wants to put carpeting in a rectangular living room and a square bedroom.
The length and width of the living room is 12 feet by 18 feet one side of the square bedroom is 13 feet .
Area of the living room = 12 × 18
= 216 ft ²
Area of the bedroom = 13²
= 169 ft ²
Total area = Area of the living room + Area of the bedroom
= 216 + 169
= 385 ft ²
As given
it will cost 3.50$ per foot to carpet the rooms .
First part
Let us assume that the total amount george will pay for carpeting be x .
Than
x = Total are of the living room and bedroom × cost of per foot carpeting .
x = 385 × 3.50
Second part
x = Total are of the living room and bedroom × cost of per foot carpeting .
x = 385 × 3.50
x = $ 1347.5
Therefore the $ 1347.5 will George will pay for carpeting .