Answer:
2) 360 square inches
Step-by-step explanation:
First of all we have to verify that the base triangle is a right triangle
For this we use Pythagoras
h² = l1² + l2²
13² = 12² + 5²
169 = 144 + 25
169 = 169
Equality is fulfilled by what is a right triangle
Now we need to calculate the area of the triangle
a = (12 in * 5 in) / 2
a = 60in² / 2
a = 30in²
Now we have to calculate the 3 areas of the rectangles
a1 = 10in * 13 in
a1 = 130in²
a2 = 10 in * 12 in
a2 = 120in²
a3 = 10 in * 5 in
a3 = 50in²
Now we must add all the calculated areas and the triangle 2 times
a1 + a2 + a3 + 2a =
130in² + 120in² + 50in² + 2 * 30in²
360in²
The surface area of the prism is 360in²
From what I'm understanding of these questions, the biggest thing you need to answer these is the formulas for cylinders and triangular prisms. I'm not sure what the quantities are for either question so I'm going to work with made up numbers to give examples for the formulas. For number 2 with the cylinder, let's consider the formula first:
π × r2 × h <em>OR </em>pi (3.14) times radius squared times height
If you have the height and you have pi, all you need to take is the doubled radius (aka multiply it by 2) and plug that back into the formula. For the sake of an example, I'm going to make up the number 2 for the radius and 6 for the height. Here's what that would look like:
r = 2; double it, resulting in 4
pi x 4^2 x 6
3.14 x 16 x 6
= 301.44
Work with the actual numbers you have and you're good to go.
For number 3, reducing something by 1/2 means dividing by 2. Let's consider the formula and then work through another example:
1/2 x b x h x l <em>OR </em> 1/2 times base times height times length
For the sake of an example, I'll use 10 for the height, 15 for the base, and 20 for the length:
h = 10; reduce by 1/2, resulting in 5
1/2 x 15 x 5 x 20
= 750
Plug in your actual quantities, and remember your volume units. Hope this helps!
That is 6x^2
Both x and 6x^2 will divide into 6x^2
Answer:
25 now give me brainliest plz
Step-by-step explanation:
