Answer:
1.7 units
Step-by-step explanation:
Let (1.6,0.1) be (x1,y1) and (2.4,1.6) be (x2,y2)
By using distance formula,
d= sqrt (x2-x1)^2 + (y2-y1)^2
=sqrt (2.4-1.6)^2 + (1.6-0.1)^2
=sqrt (0.8)^2 + (1.5)^2
=sqrt 0.64+2.25
=sqrt 2.89
=sqrt (1.7)^2
=1.7
Therefore,the distance between them is 1.7 units
In order to find the area of the triangular prism, we need to find the area of each of the figures that make it up. It might help if you draw the triangles and rectangles that make up the prism individually.
Let's start with the two triangles at either end of the prism.
A = 1/2bh Area of a triangle
A = 1/2(6)(8) Substitute
A = 24 Multiply / Divide
We now know that the area of the triangle at the end of the prism is 24 yd². However, since there are two of these triangles, we'll need to multiply that by 2. So, in total, the area of the two triangles is 48 yd².
There are three more rectangles that we need to find the area for: the base of the prism, the vertical edge of the prism, and the slanted edge of the prism.
A = lw Area of a rectangle
A = (9)(10) Area of the slanted edge
A = 90 yd² Multiply
A = (9)(6) Area of the base
A = 54 yd² Multiply
A = (8)(9) Area of the vertical edge
A = 72 yd²
We now have the area for both triangles and each rectangle. Now, all we have to do is add these together to get the total surface area!
72 + 54 + 90 + 48 = 264 yd²
Surface Area = 264 yd²
The answer is 264 yd², or answer choice C.
Answer:
The elevation would be -45 feet
Step-by-step explanation:
Answer:
70 degrees
Step-by-step explanation:
2x+3x-20+x+20=180
( angles in a triangle add up to 180 degrees)
as you want to find one x you need to move everything else to the other side: first collect all the like terms: 6x=180
in order to find x you need to divide 180 by 6 which is equal to 30
therefore x=30
if you substitute this into XYZ it would be: 3(30)-20
90-20=70
therefore XYZ=70 degrees
Hope this helped