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Mariana [72]
3 years ago
7

If f(x) = 3x + 7, which of these is the inverse of f(x)?

Mathematics
1 answer:
dolphi86 [110]3 years ago
7 0

Answer:

f-1(x)=x-7/3

Step-by-step explanation:

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What is the exact value of sin 45° ?<br><br>enter your answer, as a simplified fraction.
Ne4ueva [31]

Look at the picture.

Use the Pythagorean theorem:

b^2=a^2+a^2\\\\b^2=2a^2\to b=\sqrt{2a^2}\\\\b=\sqrt{a^2}\cdot\sqrt2\\\\b=a\sqrt2

\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\theta=45^o,\ opposite=a,\ hypotenuse=a\sqrt2

substitute

\sin45^o=\dfrac{a}{a\sqrt2}=\dfrac{1}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}=\dfrac{\sqrt2}{2}

Answer: \sin45^o=\dfrac{\sqrt2}{2}

7 0
3 years ago
The front of a box is a square with an area of 175 square units. What would be the best represents S, the length of the edge of
alexira [117]

Answer:

  13.2

Step-by-step explanation:

√175 ≈ 13.2 . . . units

The area of a square is the square of the edge length. Hence, the edge length is the square root of the area.

3 0
3 years ago
Are the following triangles similar? Justify your answer.
Ber [7]

Answer:

Yes they are similar.

There are three similarity criteria for triangles.

The first one (AAA) , your case, says that two triangles are similar if their corresponding angles are equal.

The second one (SAS) says that two triangles are similar if two sides have lengths in the same ratio and the angles that are included in these two sides are equal.

The third one (SSS) says that two triangles are similar of all of their sides have lengths in the same ratio.

About the first criteria, you actually need only two corresponding angles to be the same, because the third will always be the difference between 180° and the two angles.

Remember that you CANNOT exceed 180° for the sum of the three angles of a triangle.

And remember also that similarity involves correspondence in sides and angles. Two triangles, with same angles, but mirrored, are not similar!

7 0
3 years ago
What is 7 and 1/5 written as a percent?
Gennadij [26K]

7 \frac{1}{5}
equivalent to

7.2
which equals

750\%
5 0
3 years ago
Read 2 more answers
What are the distances between the pair of points<br><br> E-(-2,3) and F(3,3)
nlexa [21]
Distance between two points =
√(3−−2)2+(3−3)2= √52+02= √25+0=
√25= 5
Distance between points (-2, 3) and (3, 3) is 5
7 0
3 years ago
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