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BartSMP [9]
3 years ago
13

Which equation is equivalent to..

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

Answer:

D

Step-by-step explanation:

1/3)^{x} = \frac{1}{3^{x} } = 3^{-x}

and

27^{x+2} = (3^{3})^{x+2} = 3^{3(x+2)} = 3^{3x+6}

Hence expression D is equivalent

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What number is missing from the table of equivalent ratios? A) 2 B) 5 C) 7 D) 13 nt
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So I'm currently doing online school due to external circumstances and haven't done this type of problem before. I need help fin
Ann [662]

Answer:

  DE ≈ 14.91

Step-by-step explanation:

Make use of the relationships between sides and angles in a right triangle. These are summarized by the mnemonic SOH CAH TOA:

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

__

The side DE is opposite the angle 19°, so the sine or tangent relation will be involved. The sine relation requires you know hypotenuse EF. The tangent relation requires you know adjacent side DF.

The only common side between triangles CDF and DEF is side DF. That side is opposite the given 61° angle. The given side length (CF = 24) is adjacent to the 61° angle.

This means you have enough information to use these relations:

  tan(61°) = DF/CF = DF/24

  DF = 24·tan(61°)

and

  tan(19°) = DE/DF

  DE = DF·tan(19°) = (24·tan(61°))·tan(19°) . . . . . use DF from above

  DE ≈ 24(1.804048)(0.344328) ≈ 14.908

The length of DE is about 14.91.

8 0
2 years ago
Whats the first operation needed to solve x/3-3=11
velikii [3]

Hello!

To solve algebraic equation, we will need to use the acronym SADMEP.

SADMEP is similar to PEMDAS, but it is strictly used for solving algebraic equations. Expanded, it is subtract, addition, division, multiplication, exponents, and then parentheses.

Looking at SADMEP, we see that subtract/addition comes first, then division/multiplication, and then exponents/parentheses.

In our equation, our goal is to isolate the variable, "x". Since we have two constants, -3 and 11, and -3 is on the side with the variable, we can add -3 to both sides of the equation first.

Therefore, the first operation needed to solve the equation is addition.

7 0
3 years ago
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