Answer:
The correct answer is 6.
Step-by-step explanation:
2x2 – 2x + 10 <------ This is the original expression.
2x2 – 2(4) + 10 <----- Change the variable.
4 - 2(4) + 10 <------- Do the multiplication to the left.
4 - 8 + 10 = <------ Do the multiplication in the middle.
-4 + 10 = <----- Do the subtraction to the left.
6 <----- Simplify
Hope this helps! :D
Answer:
92
Step-by-step explanation:
5x - 2y + (7x - y) = 5 * 7 - 2 * (-2) + (7 * 7 - (-2)) = 35 - (-4) + (49 + 4) = 39 + 53
= 92
Answer:
6.2 units
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle.
<h3>Common segment</h3>
To find the value of x in this figure, we need to know the length of the common segment between the two triangles. That segment is opposite the 53° angle, so can be found using the sine relation:
Sin = Opposite/Hypotenuse
Opposite = Hypotenuse × Sin = 30·sin(53°) ≈ 23.9591
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<h3>Missing measure</h3>
The side marked x is adjacent to the marked angle in that triangle, so the relevant relation is ...
Cos = Adjacent/Hypotenuse
Adjacent = Hypotenuse × Cos = 23.9591·cos(75°) ≈ 6.20106
The length of the side marked x is about 6.2 units.
