Answer:
2080
Step-by-step explanation:
<u>Step 1: Multiply</u>
65 × 32
60*30 + 60*2 + 5*30 + 5*2
1800 + 120 + 150 + 10
2080
Answer: 2080
Given :
A shoe store buys a shipment of Nike shoes that cost $70 each to the purchases.
They want to markup their prices for the customers by 30%.
To Find :
How much would the customer pay for a pair of Nikes.
Solution :
C.P = $70 .
It is given that selling price is 30% more than the S.P.
So, S.P = C.P + C.P×0.30
S.P = C.P×1.30
S.P = 70×1.30
S.P = $91.
Therefore, the customer would pay $91 for a pair.
The quadratic equation in its generic form is:
ax2 + bx + c
To complete squares we must add the following term:
(b / 2) ^ 2
The equation is:
ax2 + bx + c + (b / 2) ^ 2
We have the following equation:
x ^ 2 - 5x + k = 7
By completing squares we have:
x ^ 2 - 5x + (-5/2) ^ 2 = 7 + (-5/2) ^ 2
Rewriting:
x ^ 2 - 5x + 6.25 = 7 + 6.25
Answer:
A constant term should be used to complete the square is:
6.25
Answer:
27
Step-by-step explanation:
Calculator solves all
Question 1:
(a) Using sine rule
ground/Sin 49 = plank/Sin 90
But sine 90 = 1, ground = 3 ft
Then,
3/Sin 49 = plank
Length of the plank = 3/Sin 49 ≈ 4.0 ft (rounded to nearest tenth)
(b) Height where the plank touches the wall
wall = Sqrt (plank^2 - ground^2) = Sqrt (4.0^2 - 3.0^2) ≈ 2.6 ft (Rounded to nearest tenth)
Question 2:
(a) Angle x
ground = 24 ft
support wire = 30 ft
Applying sine rule
support wire/Sin 90 = ground/Sin (90-x) ----- but Sin 90 = 1
Then,
Support wire = ground/Sin (90-x)
Sin (90-x) = ground/support wire = 24/30 = 0.8
90-x = Sin^-1(0.8) = 53.13 => x = 90-53.13 = 36.9°
(b) Height where the wire touches the tree (tree)
tree = Sqrt (support wire^2 - ground^2) = Sqrt (30^2 - 24^2) = 18 ft
