Answer:
The surface area of the prism is <u>480 in²</u>.
Step-by-step explanation:
Given:
The prism dimensions are 8in 15in 17in and 9in.
Now, to find the surface area:
So, to get the surface area we put formula:
a=8in, b=15in, c=17in and h=9in.
Surface area = 2A+(a+b+c)h.
Whereas,
And,
<em>Now, we find </em><u><em>s</em></u><em> first:</em>
<em>Then, we get</em><u><em> A </em></u><em>:</em>
<em>On solving we get:</em>
Now, putting the value of A in the formula to get the surface area:
Therefore, the surface area of the prism is 480 in².
The answer is 2x³ + 12x² + 10x - 24
(2x² + 6x - 8)(x + 3) = x(2x² + 6x - 8) + 3(2x² + 6x - 8) =
= 2x³ + 6x² - 8x + 6x² + 18x - 24 =
= 2x³ + (6x² + 6x²) + (-8x + 18x) - 24 =
= 2x³ + 12x² + 10x - 24
Answer:
13.8
Step-by-step explanation:
Hello There!
<u>Basic concept: Geometry</u>
We can solve for x using trigonometric ratios
Here are the <u>Trigonometric Ratios</u>
Remember SOHCAHTOA
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
For the angle that has a measure of 37 degrees
We are given its adjacent side length (11) and we need to find the hypotenuse
<u>Basic concept: Alegbra 1</u>
Adjacent and Hypotenuse corresponds with Cos so we are going to use cosine to create an equation and solve for x
Remember cos = adjacent over hypotenuse
So
now we solve for x
what we want to do is get rid of the 11, to do so we divide each side by 11
we're left with x = 13.773749224
finally we want to round to the nearest tenth
The answer would be 13.8
Here we go......
-2= 5x-1
+1 +1
-1/5=5x/5
- 1/5