Answer:
The angles are 54 2/3 degrees and 115 1/3 degrees
Step-by-step explanation:
make an equation for the angles x being one angle and y being the other
16+ 2x =y
Supplementary angles add to 180
x + y = 180
Fill in y with the first equation
x + 16 +2x =180
simplify
3x +16 =180
subtract 16 from both sides
3x = 164
divide both sides by 3
x = 54 2/3
Insert the value of x into the first equation then simplify
16 + 2(54 2/3) =y
16 + 109 1/3 =y
115 1/3 =y
1.) There are 6 numbers you can roll on a standard dice: 1, 2, 3, 4, 5, 6
There are 3 odd and 3 even. Keep in mind that an odd plus an odd will always be even and an even plus an even will always equal an even. Only if you add an odd and an even will you get an odd.
The chances of getting an even sum are much higher which is why you should choose even.
3.) The formula for finding the area of an equilateral triangle is (<span>√3)/4(a^2) where a is just a side length.
Because the perimeter is 12 and each side of an equilateral triangle is equal, we can divide 12 by 3 sides and get each side is 4. Plug in 4 for a.
</span>(√3)/4(4^2) = (√3)/4(16)
Because (√3)/4 = (1 x √3)/4,
(√3)/4(16) is equal to (16 x √3)/4
You have to divide (16 x √3) by 4. 16/4 = 4, and you only need to divide once to. We get 4√3 as the final answer.
Answer:
(-10,-6)
Step-by-step explanation:
When this point is reflected in the x-axis, the y-coordinates change from either positive to negative or negative to positive. The x-coordinates will not change.
Since the y-coordinates is originally positive, it will change to negative. Giving us our answer of:
(-10,-6)
$409.80.
The amount of net profit the store makes on each container is given by 1.67-0.83 (the amount it is sold for subtracted by the amount it costs the store), which is $0.84 per container. They sell 470 containers, so the net profit at this point is 470(0.84) = $394.80.
However, since the distributor is giving the store a $0.50 refund on all every container under 500 that the store sells, the store gets additional money back:
500-470 = 30 containers not sold
30(0.50) = 15
So the total profit is $394.80 + 15 = $409.80.
Answer: .24
You get this by multiplying .75 by .32 or by dividing .32 by four and multiplying by 3
