Answer:
a. 277.3 m²
b. $307.86
Step-by-step explanation:
a. Area of the wall to be painted = area of rectangle - area of triangle
= L × W + ½×a×b×sin θ
L = 17 m
W = 14 m
a = 8.7 m
b = 9.5 m
θ = 72°
Plug in the values into the equation
Area of the wall = (17×14) + (½*8.7×9.5×sin 72)
Area of the wall = 238 + 39.3024105
Area of the wall to paint ≈ 277.3 m²
b. 20 liters of paint of 1 container cost $21.99
If 1 liter of paint covers 1m², therefore,
277.3 m² will need = 277.3 × 1 = 277.3 liters of paint.
20 liters = 1 container of paint
277.3 liters = 277.3/20 = 13.865 ≈ 14 containers
1 container = $21.99
14 containers = 21.99 × 14 = $307.86
Well, what is 6% of "v"? well, 6% of anything is just 6/100 * anything, so 6% of v is just 6/100 * v or 0.06v
so, v + 0.06v is just 1.06v <--- that'd be the increased price for <1900, 950>
well, what's that vectors wise? < 1900 * 1.06 , 950 * 1.06 >
that is <2014 , 1007>
now.. the Revenue is just price * quantity
so, I take it, it's just asking for the dot product of <2014, 1007> • <2700, 3700>
which should just be (2014 * 2700) + (1007 * 3700)
<span>None of the above. The mass does not change if you change the gravitational constant (moving to Jupiter or Moon), only the weight changes. By cutting it in half you decrease the mass, you do not increase it.</span>
9514 1404 393
Answer:
3. m∠A < 80°
Step-by-step explanation:
The exterior angle NGS, marked as 80°, has a measure that is the sum of the measures of the remote interior angles: GAN, GNA.
If we assume that angle measures cannot be zero, then we must have ...
m∠A +m∠N = 80°
m∠A = 80° -m∠N
Since m∠N > 0, the measure of angle A must be less than 80°.
This conclusion matches choice 3.
Answer:
x=-16
Step-by-step explanation:
6x+12=4x-20
2x=-32
x=-16
