Answer:
<u>The triangular prism shown has 2 triangular faces and 3 lateral faces.</u>
- The triangles are on the ends, and there are three rectangular faces, which are the "lateral" faces because they're not bases.
<u>The area of one triangular face is 7.5 square millimeters.</u>
- Area of triangle = 1/2 b*h = 1/2* 6*2.5 = 1/2*15 = <u>7.5 square millimeters</u>
<u>The surface area of the triangular prism is 135 square millimeters.</u>
- Lateral face area = the sum of the three lateral faces. = 8*6.5 + 8*2.5 + 6*8 = 120 square millimeters
- Surface area = 2(triangle area) + sum of lateral faces = 2(7.5) + 120 = <u>135 square millimeters</u>
Answer:
Go through the explanation you should be able to solve them
Step-by-step explanation:
How do you know a difference of two square;
Let's consider the example below;
x^2 - 9 = ( x+ 3)( x-3); this is a difference of two square because 9 is a perfect square.
Let's consider another example,
2x^2 - 18
If we divide through by 2 we have:
2x^2/2 -18 /2 = x^2 - 9 ; which is a perfect square as shown above
Let's take another example;
x^6 - 64
The above expression is the same as;
(x^3)^2 -( 8)^2= (x^3 + 8) (x^3 -8); this is a difference of 2 square.
Let's take another example
a^5 - y^6 ; a^5 - (y ^3)^2
We cannot simplify a^5 as we did for y^6; hence the expression is not a perfect square
Lastly let's consider
a^4 - b^4 we can simplify it as (a^2)^2 - (b^2)^2 ; which is a perfect square because it evaluates to
(a^2 + b^2) ( a^2 - b^2)
you pay x for ten laps an you pay y for every additional lap you just multiply y by seven an add x
so all an all your answer would be (B)
Answer:
-3
Step-by-step explanation:
"Given" in math basically means data only from a specific section. In this cases, we only look at the 125 students who took the course. Out of the 125, 28 got into an accident.
28 of 125 chance of getting an accident given that a driver took the safety course.
28/125 = 0.224
22.4% chance
Rounded: 22%
