Answer:
Step-by-step explanation:
Answer:
The carpenter used 2 7/4 feet of plank for the shelf
Step-by-step explanation:
Total length of plank =10 1/2 foot
He used
For Deck board=4 1/4 feet
Step=3 2/3 feet
Shelf=x feet
Total plank=deck board + step + shelf
10 1/2 = 4 1/4 + 3 2/3 + x
Change the fractions
21/2 = 17/4 + 11/3 + x
Add 17/4 + 11/3
21/2 =51+44/12 + x
21/2= 95/12 + x
Collect like terms
21/2 - 95/12 =x
126-95/12 = x
31/12=x
2 7/12 =x
Therefore, the carpenter used 2 7/4 feet of plank for the shelf
Answer:
Step-by-step explanation:
Total length of plank =10 1/2 foot
He used
For Deck board=4 1/4
Step=3 2/3
Shelf=x
Total plank=deck board + step + shelf
10 1/2 = 4 1/4 + 3 2/3 + x
This is quite simple, first, you must find the area of each shape, since the form of the prism is currently 2D.
Formula for (Area of Rectangle)= length x width
Formula for (Area of Triangle)= 1/2 base x height
Now, we have the formulas. Let’s get started!
(Identification) There are 3 rectangles and 2 triangles. 2 rectangles are of the same size and 2 triangles are of the same size.
Triangles~ the base is 6 and the height is 4.
1/2 (6 x 4) = 12
However, there’s two triangles. (of the same size)
12 x 2 = 24
Rectangles 1 and 2~ the length is 5 and the width is 7
5 x 7 = 35
However, there’s two rectangles. (of the same size)
35 x 2 = 70
Rectangle 3~ the length is 6 and the width is 7
6 x 7 = 42
There’s only one of these.
Now we add all the areas of the shapes together!
24 + 70 + 42 = 136
The surface area is 136.
Y-1=10
+1. +1
So y = 11
Hope that helps
Answer:
The measure of angle x is 
Step-by-step explanation:
To find the measure of angle X, apply the law of cosines
The law of cosines states that
In this problem we have
substitute
![C=arccos[(986-576)/950]=64.4\°](https://tex.z-dn.net/?f=C%3Darccos%5B%28986-576%29%2F950%5D%3D64.4%5C%C2%B0)
Therefore
The measure of angle x is
