Answer:
CM=20 and CP=12
Step-by-step explanation:
The given triangle ΔACM has the measurements as follows:
m∠C=90°, CP⊥AM, AC=15, AP=9, PM=16.
To Find: CP and CM
We can use Pythagoras theorem to calculate the sides CP and CM.
Pythagoras theorem gives a relation between hypotenuse, base and height/perpendicular of a right angled triangle which is as follows:
where h is hypotenuse of triangle, b is base and p is perpendicular of triangle.
The figure shows that in ΔACM is a right angled triangle at C where,
AM --> hypotenuse
CM --> base
AC --> height
So substituting values into formula:
, which is required answer.
Similarly, we can see that triangle ΔCPM is also a right angled triangle at P and thus Pythagoras theorem can again be applied to calculate CP. Since CM is the side opposite to right angle P, it is the hypotenuse.
So we have,
, which is required answer.
First ne is 3x then 2x then 26x
The volume of the space not filled by the sphere is the difference between the volume of a cube with edge length 6 inches and the volume of a sphere with radius 3 inches.
<h3><u>Cube</u></h3>
The volume of a cube of edge length s is
... V = s³
When the edge length is 6 in, the volume is
... V = (6 in)³ = 216 in³
<h3><u>Sphere</u></h3>
The volume of a sphere with radius r is
... V = (4/3)π·r³
When the radius is 3 in, the volume is
... V = (4/3)π·(3 in)³ = 36π in³
<h3><u>Space</u></h3>
Then the volume of the space between the cube and the sphere is
... Vcube - Vsphere = 216 in³ - 36π in³ ≈ 102.9 in³ . . . . corresponding to choice C
Answer:
So the slope would equal 2
The y intercept would be 3
the equation is y = 2x+3
Step-by-step explanation:
hoped that helped
Answer:
" There are 23 people in the club."
Step-by-step explanation:
We want to know how many member's friends came to the meeting.
We know that:
There are 23 people in the club
5 members of the club, invited 2 friends each.
So we have 5 times 2 friends invited:
Then there are 5*2 = 10 people invited to the first meeting.
Notice that the fact that there are 23 people in the club is never used, them the information that is not necessary to solve this problem is " There are 23 people in the club."
