Answer:
Width = 2
Length = 5
Step-by-step explanation:
let A be the area of the rectangle
L be the length of the rectangle
w be the width of the rectangle
<u><em>Formula</em></u>: ‘<u><em>area of a rectangle</em></u>’
A = L × w
…………………………………………………
A = L × w
⇔ 10 = (w + 3) × w
⇔ 10 = w² + 3w
⇔ w² + 3w - 10 = 0
<u><em>Solving the quadratic equation</em></u> w² + 3w - 10 = 0 :
Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49
then √Δ = 7
-5 is not valid ,because w represents the width
which must be a positive number
Then w = 2
<u><em>Conclusion</em></u>:
Width = 2
Length = 2 + 3 = 5
Answer:
6:38am
Step-by-step explanation:
From the question we are told that
Average speed 
Distance traveled 
Generally the velocity across a distance is mathematically given given as 
Therefore
7:20-42 minutes =6:38am
Answer:
97.3%
Step-by-step explanation:
Let the three bulbs be A, B and C respectively.
Let P(A) denote the probability that the first bulb will burn out
Let P(B) denote the probability that the second bulb will burn out
Let P(C) denote the probability that the third bulb will burn out
Now, we are told that Each one has a 30% probability of burning out within the month.
Thus;
P(A) = P(B) = P(C) = 30% = 0.3
Now, probability that at the end of the month at least one of the bulbs will be lit will be given as;
P(at least one bulb will be lit) = 1 - (P(A) × P(B) × P(C))
P(at least one bulb will be lit) = 1 - (0.3 × 0.3 × 0.3) = 0.973 = 97.3%
Answer:
19.34cm
Step-by-step explanation:
Rigth Angled triangle
use SOHCAHTOA
Cos°=adj/hyp
Cos 71=6.3/BC
BC=6.3/COS 71
COS 71°= 0.3256
BC=6.3/0.3256
BC= 19.34cm
Volume = 12 * area of triangular base
area of triangle = 1/2 base * height = 3 * height
height = sqrt(5^2 - 3^2) = 4
area of triangle = 4*3 = 12
Vol of prism = 12*12 = 144 cubic units
