Answer:
12
Step-by-step explanation:
hope i was helpful
Answer:
see below
Step-by-step explanation:
First find the slope
m= ( y2-y1)/(x2-x1)
= (-5- -7.5)/ ( 2 - -3)
= (-5+7.5) / ( 2+3)
= 2.5 /5
=1/2
Then using the slope intercept equation of a line
y = mx+b where m is the slope and b is the y intercept
y = 1/2x+b
Using a point from above
-5 = 1/2(2) +b
-5 =1+b
Subtract 1 from each side
-6 = b
We have the y intercept
y = 1/2x-6
Tahlia forget to find the y intercept for the equation
Answer: 5.4
--------------------------------------
Explanation:
Angle D = 43 is the given reference angle
side FE = 5 is the side opposite the reference angle (since its the leg furthest away from angle D)
We want to find side DE which is the other leg. This is the adjacent side with angle D as the reference angle
Use the tangent rule
tan(angle) = opposite/adjacent
tan(D) = FE/DE
tan(43) = 5/DE
DE*tan(43) = 5
DE = 5/tan(43)
DE = 5.36184355 <<-- use a calculator here; this is approximate
DE = 5.4 <<-- round to the nearest tenth
That's why 5.4 is the answer
Answer:
3x^4+12x^3
Step-by-step explanation:
I think I know what it forms - a cone!!
I'm guessing that the angles at the end are 10 degrees so that would make angle CAB equal 5 degrees.
Line AB would be the radius of the "upper cone".
Line BC is 12/2 or 6
tangent (A) = BC / AB
tangent (5) = 6 / AB
AB = 6 / tan(5)
AB = 6 / 0.087489
AB =
<span>
<span>
<span>
68.58 which is the radius of the "upper cone".</span></span></span>
Cone Volume = (PI * radius^2 * height) / 3
Cone Volume = (PI * 68.58 * 68.58 * 6) / 3
Cone Volume =
<span>
<span>
<span>
29,551
That is just the "upper cone volume. So, we multiply </span></span></span><span><span>
<span>
<span>
29,551 * 2
and get 59,102 which is the volume of the entire solid.
</span></span></span> </span>
Source for cone volume:
http://www.1728.org/volcone.htm
