Answer:
A. The volume of the prism = 204.7 cm³
Step-by-step explanation:
The difficult part is finding the hight x in the triangle with sides 6 6 and 7.
The half of the base of this triangle = 3,5
So we have the right sided triangle with a hypothenusa of 6, one right side of 3,5 and one right side which is x (and is unknown).
Use Pythagoras to find the value of x.
x² + (3,5)² = 6²
x² = 6² - (3,5)²
x² = 36 - 12,25
x² = 23.75
x = +- SQRT(23.75)
{Only the positive part has a meaning.}
x = 4.873
So now it is easy.
The area of the triangle = 3.5 * x
with x = 4.873
The area of the triangle = 3.5 * 4.873
The area of the triangle = 17.06 cm²
The volume of the prism = 12 * the area of the triangle
The volume of the prism = 12 * 17.06
The volume of the prism = 204.67
rounded on 1 decimal.
The volume of the prism = 204.7 cm³
5x - 3 = 7
<em><u>Add 3 to both sides.</u></em>
5x = 10
<em><u>Divide both sides by 5.</u></em>
x = 2
The value of x is 2.
Answer:
radius = 1
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 2)² + (y + 3)² = 1 ← is in standard form
with r² = 1 ( take the square root of both sides )
r = = 1
Answer:
Line Segment
Step-by-step explanation:
A line segment has dots on both ends of the line. A line has nothing at either end of it. A ray has an arrow at one end of the line. Line BC is a line segment.
Hope it helps!