Let's buils the intersection plane:
Point P is on AB and AP=2, then PB=3; point Q is on AE and AQ=1, then QE=4. Let P' be a point on CD such that CP'=2 and Q' be a point on the plane CDHG such that P'Q'=1 and P'Q' is perpendicular to CD. The line CQ' intersects HD at point R and the plane CPQR is intersection plane.
Consider triangles ΔCDR and ΔCP'Q', they are similar. So,
,
so R is a midlepoint of the side HD (for details see picture).
Answer:
number 3
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
draw a line from the equal and add 5 on each sided and x= 16
11+5=16
Answer:
$3087.35
Step-by-step explanation:
<u>Compound interest formula</u>
where:
- A = final amount
- P = principal
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
Given:
- P = $1500
- r = 6.2% = 0.062
- n = 1
- t = 12 years
Substituting given values into the equation and solving for A:
Area of circle = π · r²
9 π = π · r²
9 = r²
3 = r
Volume of sphere = (4/3)π · r³
= (4/3)π · (3)³
= 4π · 3²
= 4π · 9
= 36π
Answer: the volume of the sphere is 36π