Step-by-step explanation:
To find the total surface area of a prism, you need to calculate the area of two polygonal bases, i.e., the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.
Hope this helps!
All the love, Ya boi Fraser :)
Answer:
7:17
Step-by-step explanation:
There are 7 girls and 10 boys taking gymnastics lessons. Write the ratio that compares the number of girls taking gymnastics lessons to the total number of students taking gymnastics lessons
Total number of students taking gymnastics classes = 7 girls + 10 boys = 17 students
Hence:
the ratio that compares the number of girls taking gymnastics lessons to the total number of students taking gymnastics lessons
= 7 : 17
Answer:
b. circle; 
Step-by-step explanation:
The given conic has equation;

We complete the square to obtain;

This is a circle with center;

This implies that;

When the circle is rotated through an angle of
,
The new center is obtained using;
and 
We plug in the given angle with x and y values to get;
and 
This gives us;

The equation of the rotated circle is;

Expand;

Multiply through by 4; to get

Write in general form;

Divide through by 2.

Answer:
60
Step-by-step explanation:
Since equalateral. The angles are the same.
We know that in this type of triangle that the hypotenuse is √2 times the length of either leg
in our case the hyp=5√2