Answer:
The required equation is 
.
Step-by-step explanation:
Consider the provided information.
The required figure is shown below:
It is given that the radius of the base is 5 inches and the height of the cone is 7 inches.
We need to given the equation which gives the measure of 
.
Now consider the right angle triangle making an angle .
Hence, the required equation is .
Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm
The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.
Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
Answer:
3.02
Step-by-step explanation:
quarters are .25
dimes are .10
nickels are .05
pennies are .01
9 * .25 + 4 * .10 + 7 *.05 + 2 *.01
2.25+0.4+0.35+0.02
3.02
Answer:
$120.
Step-by-step explanation:
The amount he sells the tool kit for = 80 + 20% of 80
= 80 + 16
= $96.
Let m be the marked price, then
m - 0.20m = 96
0.8m = 96
m = $120.
Answer:
x = 120
Step-by-step explanation:
Let's draw an imaginary dot in the middle of that <u>line</u> which runs between those two parallel lines, and now lets look at it as an angle.
This lines' angle is 180 degrees. Now lets move those two parallel lines together on the imaginary dot in the middle.
We can see that on the left side is one degree and the other side is another, however when we put them together we get the angle measurement of the our line which we identified was 180.
Now that we can see that our two angles must equal 180 when put together we know and can say that:
40 + (x + 20) = 180
So, lets work this out like basic algebra now.
40 + x + 20 = 180
x + 60 = 180
- 60 - 60
x = 120
And voila we have our x value.
Hope this helps :)
