Answer:
26x + 15y + 35*z = -25
Step-by-step explanation:
Given the planes:
5x + 3y -5z = 0
-5x + 4y + 2z = 9
First we have to find the cross product of the normal vectors of these planes:
<5, 3, -5> x <-5, 4, 2> = <3*2 - 4*(-5), -[5*2 - (-5)*(-5)], 5*4 - (-5)*3> =
<26, 15, 35>
Then substitute these and the point (0, -4, 1) into the standard plane equation:
ax + by + cz = d
26*0 + 15*(-4) + 35*1 = d
-25 = d
Answer:
x = 13.
So the 3 angles are a = 44, b = 47 and c = 89 degrees.
Step-by-step explanation:
If these are the angles are the 3 angles of a triangle they sum to 180 degrees, so:
3x + 5 + 5x - 18 + 7x - 2 = 180
15x - 15 = 180
15x = 195
x = 195/15
x = 13.
The surface are of the right cone is 176 sq.units. Option A) is the correct answer.
<u>Step-by-step explanation</u>:
<u>step 1</u> :
Radius of the cone, <em>r = 4</em>
Height or length of the cone,<em> h = 10</em>
<u>step 2</u> :
Total surface area of right cone = πrh + πr^2
= (π
4
10) + ( π
4^2)
= 40π + 16π
= 56 π = 56
3.14
= 176 sq.units
Answer: Identify at least three reasons the Articles of Confederations failed as a governing document. In your opinion, evaluate which defect was most debilitating, using evidence and your knowledge of American government to justify your position.
Step-by-step explanation:
Answer: There are 8 3/4 in 6
You can use a rule of three:
If in 3/4 there is 1 (3/4), How many 3/4 are in 6?:
3/4 → 1
6 → x
x=(6)(1)/(3/4)→
x=6/(3/4)→
x=(6/1)/(3/4)→
x=(6/1)(4/3)→
x=(6)(4)/[(1)(3)]→
x=24/3→
x=8
Answer: There are 8 3/4 in 6