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This calls for the distributive property. Distributive property, essentially, takes the outside value (in this case 4) and multiply it to the inside value(s) (in this case 2x and [+]3) Thus, it's basically 4 * 2x + 4 *3.
4 multiplied by 2x is 8x.
4 times 3 is equivalent to 12.
Therefore the solution is 8x + 12.
Answer:
This is the concept of geometry, we are required to calculate for the length of the sides of the rhombus; we know that a rhombus is a compressed square, this implies that all the sides are equal;
If one of the angles is 110° the other angle will be:
180-110=70°
thus using the cosine rule we can find the side lengths as follows;
c^2=a^2+b^2-2ac Cos C
thus
let side a=b=x in
shorter diagonal=c=4 in
C=70°
substituting this into the formula we get:
4^2=x^2+x^2-2*x*x Cos 70
4^2=2x^2-2x^2(0.3420)
16=2x^2-2x^2(0.3420)
dividing through by 2 we get;
8=x^2-0.3420x^2
8=0.6580x^2
x^2=12.15843
getting the square root of both sides get:
x=sqrt(12.15843
x=3.4869)
x=3.5 (1 d.p)
the length of the sides is 3.5
Answer:
$14,800 at 10.5%
$38,850 at 12%
Step-by-step explanation:
Investment at 10.5% (x):
(0.12[$53,650 - x])/0.105x = 3
$6,438 - 0.12x = 0.315x
0.435x = $6,438
x = $14,800
Investment at 12%:
= $53,650 - $14,800
= $38,850
Answer: Investments: @ 10.5%, $14,800; @ 12%, $38,850
Proof: (income from 1st is 1/3 that of the income from the 2nd):
= (0.105[$14,800])/(0.12[$38,850])
= $1,554/$4,662
= 1/3
Well the formula for area is A=LxW where L=length and W=width
so A=2.5(1) but this in inches so convert to feet
half inch=15 ft so 2.5 inches=
(15)=5(15)=75 ft
half inch=15 ft so 1 inch=2(15)=30ft
Now we can rewrite our area equation: A=(75ft)(30ft)=2250 ft²