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The surface area of the triangular prism is of 140 cm².
<h3>What is the surface area of a prism?</h3>
It is the sum of the areas of all faces of a prism. In this problem, the prism has these following faces:
- One rectangle of dimensions 8 cm and 6 + 4 + 5 = 15 cm.
- Two right triangles with sides 4 cm and 5 cm.
For a rectangle, the area is given by the multiplication of the dimensions, hence:
Ar = 8 x 15 = 120 cm²
For each right triangle, the area is given by half the multiplication of the sides, hence:
At = 2 x 0.5 x 4 x 5 = 20 cm².
Then the surface area of the prism is:
S = 120 cm² + 20 cm² = 140 cm².
More can be learned about surface area at brainly.com/question/28123954
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Let tree's height = h
h/80 = tan 30
⇒ h = 80 tan 30
⇒ h = 80 * 1/√3
⇒ h = 46.19 ft
Answer:

Step-by-step explanation:

The first set of parentheses is unnecessary, so it can just be removed.

To remove the second set of parentheses, you must distribute the negative sign that is to its left. It changes every sign inside the parentheses.

Now you combine like terms.


Answer:

Step-by-step explanation:
A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,
And the factor is ,

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

<h3>
<u>Hence </u><u>the </u><u>value </u><u>of </u><u>c </u><u>is </u><u>(</u><u>-</u><u>1</u><u>4</u><u>)</u><u>/</u><u>3</u><u> </u><u>.</u></h3>