Answer:
the solution is A
Step-by-step explanation:
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![\sqrt[3]{(3)^3(a^3)(b^6)b}\\\\3ab^2\sqrt[3]{b}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%283%29%5E3%28a%5E3%29%28b%5E6%29b%7D%5C%5C%5C%5C3ab%5E2%5Csqrt%5B3%5D%7Bb%7D)
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:
30.48 centimeters
Step-by-step explanation:
We know that:
2.54 cm = 1 inch
To find how many centimeters are in 12 inches, you should:
2.54 x 12 = 30.48
So Jacob’s pieces of yarn should be 30.48 centimeters long.
Hope this helps!
Answer:
y = -3x +4
Step-by-step explanation:
Using the expression for y, we can substitute that into the second equation:
... x + (1/3)(-3x +4) = 4/3
... 4/3 = 4/3 . . . . . simplify (True for any value of x.)
<em>These equations are dependent and have an infinite number of solutions</em>.
The value of x will be equal to 4√6. The correct option is B.
<h3>What is trigonometry?</h3>
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
The value of side x will be calculated by using the angle properties.
SIn( 45 ) = P / H
Sin (45) = 12 / H
H = 12 / ( 1 / √2) = 12√2
Again using the angle property for finding the value of x.
tan30 = P / B
x = tan30 x B
x = ( 1 / √3 ) x 12√2
x = 4√6
Therefore, the value of x will be equal to 4√6. The correct option is B.
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