If a and b represent the height and base of the triangular face, and h represents the length of its hypotenuse, and w represents the width or thickness of the prism, the surface area (A) is
.. A = ab +w*(a +b+ h)
Of course the area of each triangle is (1/2)ab, but there are two of them, so their total area is ab.
Put in the numbers and do the arithmetic. If you have a lot of them all specified in this way, a spreadsheet can make short work of it.
A = 5*12 +4*(5 +12 +13) = 160 . . . square inches
Answer:
θ = 35.39°
Step-by-step explanation:
Given that,
Perpendicular, P = 27
Base, B = 38
We need to find the value of angle. Let the angle be θ. So,
![\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})\\\\\theta=\tan^{-1}(\dfrac{27}{38})\\\\\theta=35.39^{\circ}](https://tex.z-dn.net/?f=%5Ctan%5Ctheta%3D%5Cdfrac%7BP%7D%7BB%7D%5C%5C%5C%5C%5Ctheta%3D%5Ctan%5E%7B-1%7D%28%5Cdfrac%7BP%7D%7BB%7D%29%5C%5C%5C%5C%5Ctheta%3D%5Ctan%5E%7B-1%7D%28%5Cdfrac%7B27%7D%7B38%7D%29%5C%5C%5C%5C%5Ctheta%3D35.39%5E%7B%5Ccirc%7D)
So, the required angle is 35.39°.
Answer:
Step-by-step explanation:
Before you can answer you have to solve the equation for y.
Y = 9/7 x+8/7
Parallel lines have the same slope so would also be 9/7
Perpendicular lines have opposite reciprocal slope so would be -7/9
There are no common factors except 1
The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.