Answer:
b. 4.0 cm
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the ratio of the adjacent side to the hypotenuse is given by the cosine of the angle:
Cos = Adjacent/Hypotenuse
cos(35°) = NL/NK
NL = NK·cos(35°)
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Similarly, it reminds you that the ratio of the opposite side to the hypotenuse is given by the sine function:
Sin = Opposite/Hypotenuse
sin(53°) = NM/NL
NM = NL·sin(53°)
Substituting from the first triangle, we have ...
NM = NK·cos(35°)·sin(53°)
NM = (6.1 cm)(0.81915)(0.79864)
NM ≈ 3.991 cm
MN ≈ 4.0 cm
Step-by-step explanation:
<u>Volume of a triangular prism = 1/2 × lbh</u>
<u>Volume of a triangular prism = 1/2 × lbhSo, from given options, we can select 39 x 2 = 13 × 3 × 2 as the expression that represents the volume of the prism, with 13 as the height or length of the prism.</u>
i hope this helps! let me know if i got it wrong
Answer:
25
Step-by-step explanation:
The angle markings indicate the angles are all congruent, making this an equilateral triangle. All sides are the same length, so you can use any pair of them for an equation:
... 2x +20 = 3x -5
... 25 = x . . . . . add 5-2x
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<em>Check</em>
Each side has length 70 = 2·25 +20 = 3·25 -5 = 4·25 -30.
Answer:
x=-8, y=-1
Step-by-step explanation:
i aint in middle school no more so im not sure what operation ur doing, but this is my best guess.
