Answer:
<h2>
perimeter of △SMP = 25</h2>
Step-by-step explanation:
The perimeter of the triangle △SMP is the sum of al the sides of the triangle.
Perimeter of △SMP = ||MS|| + ||MP|| + ||SP||
Note that the triangle △LRN, △LSM, △MPN and △SRP are all scalene triangles showing that their sides are different.
Given LM=9, NR=16 and SR=8
NR = NP+PR
Since NP = PR
NR = NP+NP
NR =2NP
NP = NR/2 = 16/2
NP = 8
From △LSM, NP = PR = <u>MS</u><u> = 8</u>
Also since LM = MN, MN = 9
From △SRP, SR = RP = <u>PS = 9</u>
Also SR =<u> MP = 8</u>
From the equation above, perimeter of △SMP = ||MS|| + ||MP|| + ||SP||
perimeter of △SMP = 8+8+9
perimeter of △SMP = 25
Answer:
Step-by-step explanation:
We have been an integral 
. We are asked to find the general solution for the given indefinite integral.
We can rewrite our given integral as:
Now, we will apply the sum rule of integrals as:
Using common integral 
, we will get:
Now, we will use power rule of integrals as:
We know that integral of a constant is equal to constant times x, so integral of 1 would be x.
Therefore, our required integral would be .
Surface area is (3*13)*2+ (3*9)*2+(9*13)*2 = 366 in 2
Rearrange
<span>2sin^2x = 1-Cos2x </span>
<span>Divide by 2 to isolate for sin^2x </span>
<span>sin^2x = (1-Cos2x)/2</span>
Answer:
J) V = (20 x 16 x 8) + (20 x 42 x 8)
P.S. the volume is 9280 units³
Step-by-step explanation:
