Check the picture below
so, the volume will then be, the product of the area of the triangle and the height of the prism, and as you know, the area of the triangle is 1/2bh
Answer:
<h2>The discriminant is is 144</h2>
Step-by-step explanation:
Step one
Given the expression
we can solve for the The discriminant using the expression
Step two
from the given expression
the second term b=-8
the first term a= 2 and
the constant term c=-10
Step three
substituting all the terms into the expression we have
Answer:
uhh.... you are missing some part of your question
Step-by-step explanation:
Your answer is the square root of 30
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12