Answer:
Step-by-step explanation:
Let length and width of a rectangle be x, x+1
Area = 90 sq.cm
length * width = 90
x * (x + 1) = 90
x² + x = 90
x² + x - 90 = 0
x² + 10x - 9x - 9 * 10 = 0
x ( x + 10 ) - 9 (x + 10 ) = 0
(x + 10 ) (x - 9) = 0
x + 10 = 0 or x - 9 = 0
x = -10 { impossible . as length cannot be negative} ;
x = 9
Length = 9 , width = 10
6 Winston I got the addy and
Answer:
m<V = 11.2 degrees
Step-by-step explanation:
In ΔUVW, the measure of ∠W=90°, UV = 6.2 feet, and WU = 1.2 feet.
From the triangle;
UV = hypotenuse = 6.2feet
WU = opposite = 1.2feet
Required
m<V
Using the SOH CAH TOA identity
sin m<V = opp/hyp
sin m<V = WU/UV
sin m<V = 1.2/6.2
sin m<V = 0.1936
m<V = arcsin(0.1936)
m<V = 11.16
m<V = 11.2 degrees ((to the nearest tenth of a degree)
Answer:
And replacing we got:
Step-by-step explanation:
For this case we have the following info given:
represent the mean
represent the deviation
We select a sample size of n=100. This sample is >30 so then we can use the central limit theorem. And we want to find the distribution for the sample mean and we know that the distribution is given by:
And replacing we got:
Answer:
The total cost of 14 onions and 16 potatoes will be £6.10
Step-by-step explanation:
Let onion be n and potato by p
20n = £3.00
1n = £3.00/20
= £0.15
25p = £6.25
1p = £6.25/25
= £0.25
The cost of 1 onion is £0.15, and 1 potato is £0.25
Then the cost of 14 onion and 16 potatoes together will given as
14n + 16p
substituting the values of n and p, we will have
14*0.15 + 16*0.25
2.1 + 4
= £6.10
