9514 1404 393
Answer:
510 cm³
Step-by-step explanation:
The overall height of the front face is 9+2 = 11 cm.
The overall width of the front face is 6+4 = 10 cm.
Out of that 11 cm by 10 cm rectangle, a cutout is made in the upper right corner. The area of that cutout (in the plane of the front face) is 2 cm high by 4 cm wide.
Then the area of the front face is ...
(11 cm)(10 cm) -(2 cm)(4 cm) = 110 cm² -8 cm² = 102 cm²
The volume of the prism can be found using the formula ...
V = Bh
where B is the area of the "base" of the prism, and h is its height. Here, the "base" is the front face, and the height is the dimension marked 5 cm. The volume is ...
V = (102 cm²)(5 cm) = 510 cm³
The volume of the prism is 510 cm³.
Answer:
m<X= 36.87 degrees
Step-by-step explanation:
Since the triangle abc and xyz are similar, hence;
m<C = m<Y
90 = x - 5
Add 5 to both sides
90+5 = x-5+5
95 = x
Swap
x = 95
m<Y = x - 5
m<Y = 95 - 5
m<Y = 90
Find m<X
Using the SOH CAH TOA
Opposite to m<X = YZ = 6
Adjacent = 8
Tan M<X = opp/adj
Tan m<X = 6/8
m<X = arctan(6/8)
m<X= 36.87 degrees
Answer:
January through
March
Step-by-step explanation:
You should get a hoodie. Thx for free points lol
Answer:
V = D/t = 10 / 20 = 0.5 mile per min
V = D/t = 20/30 = (2/3) mile per min
V = D/t = (10+20)/ 50 = (3/5) mile per min
