First we need to find the length of the missing triangle side which we can do with Pythagorean theorem
A2+B2=C2
5^2+3^2= x^2
25+9=x^2
34=x^2
You square booth sides and end up with a decimal of 5.831 rounded for the missing side.
Area for a rectangle is length times width so we multiply 7x5.831=40.817
Area of a triangle is the height times the base divided by 2 so 5.831x3= 17.493
Then you add those to together for the total area of the shape 40.817+17.493=58.31
58.31 is your approximate answer.
Your answer to 2/3x-4= -2 would be
x=3, or letter D
Answer:
(x +5)²/4 +(y +8)²/36 = 1
Step-by-step explanation:
The equation of an ellipse with center (h, k) and semi-axes "a" and "b" (where "a" is in the x-direction and "b" is in the y-direction) can be written as ...
((x -h)/a)² +((y -k)/b)² = 1
Here, the center is at (h, k) = (-5, -8), and the semi-minor axis is a=2, while the semi-major axis is b=6.
The equation can be written as ...
((x +5)/2)² +((y +8)/6)² = 1
More conventionally, it is written ...
(x +5)²/4 +(y +8)²/36 = 1
Since there is a 5 to the right of the decimal, you will round the number immediately to the left of the decimal up. So the nearest whole number would be 71.
Answer: The percentage of the original price was his discount = 10%
Step-by-step explanation:
Given: original price = $60
Price after discount = $54
Discount = Price after discount - original price
= $ (60-54) = $6
The percentage of the original price was his discount = 
Hence, the percentage of the original price was his discount = 10%
