Answer:
l = 16, w = 8
Step-by-step explanation:
Let l = length
Let w = width
Area = w * l
128 = w * l
w = 128/l
Perimeter = 2w + 2l
48 = 2w + 2l
48 = 2(128/l) +2l
48 = 256/l +2l
Multiply everything by l
48l = 256 + 2l^2
l^2 + 128 = 24l
l^2 + 128 -24l = 0
(l-16)(l-8)= 0
L = 16
L = 8
If you try them out, and test it, l = 16 would work:
2(16) + 256/16 = 48
32 + 16 =48
16 * 128/16 = 128
16 * 8= 128
128 = 128
Since I'm not sure if you are in advanced math or not, I will do it simple with guess and check
Try w is
Answer:
1,100
Step-by-step explanation:
Answer:
1
2
3
Step-by-step explanation:
From the question we are told that
The lateral edge of a square prism is
The angle of inclination is
The volume of the prism is
Generally the base of the prism is mathematically represented as
=>
=>
Generally the lateral area of the prism is mathematically represented as
=>
=>
Generally the total area of the prism is mathematically represented as
=>
=>
Answer:
(a) 5/7 chance
(b) 2/7 chance
(c) 5/7 chance
Step-by-step explanation:
Event X: There are 3 letters that come before "D". A, B, and C. There is a 3 out of 7 chance of picking one of those letters. (3/7)
Event Y: There are 4 letters in "C A G E". Those 4 letters are in the 7 first letters of the alphabet meaning that they are in our pile of tiles. There is a 4 out of 7 chance of picking one of those letters. (4/7)
(a) Since there is a 3/7 chance of Event X happening and a 4/7 chance of Event Y happening, there is a <u>5/7 chance</u> of either Event X or Event Y happening since tiles "A" and "C" are included in both events.
(b) Since there is a 3/7 chance of Event X happening and a 4/7 chance of Event Y happening, there is a <u>2/7 chance</u> of both X and Y happening since there are only 2 tiles that are the same in both events, "A" and "C". (We are only allowed to pick one tile)
(c) The complement of Event Y is 1-4/7=<u>5/7 chance</u>.
Answer:
1. h = 11 cm
2. d = 220 km
Step-by-step explanation:
1. A = 1/2bh
Where,
A = 66 cm²
b = 12 cm
A = 1/2bh
66 = 1/2 * 12 * h
66 = 6h
h = 66/6
h = 11 cm
2. s = d/t
Where,
s = 110 km/h
t = 2h
s = d/t
110 = d/2
Cross multiply
110 * 2 = d
d = 220 km