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3 years ago

What is the length of side x?

Mathematics

1 answer:

Vinil7 [7]3 years ago

5 0

Answer:

x = 3

Step-by-step explanation:

In a 30-60-90 triangle the side between 60 and 90 degree angle is a, the side between 30 and 90 degree angle is a√3, and the hypotenuse is 2*a.

Given that the side that is supposed to be a is currently √3, we know that the missing side x must be:

a√3 (We know that a, in this case, is √3, so substitute)

x = (√3) * (√3)

x = 3

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Which of the following is a Recursive Formula for an Arithmetic Sequence?

In-s [12.5K]

The Recursive formula for an Arithmetic Sequence is a1 = -3, an = an-1 + 6.

<h3>What is Arithmetic sequence ?</h3>

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.

Given:

an = -3 + 6(n – 1)

a1= -3

a2= 3

a3 = 9

Here the common difference is 6 and first term is -3

Hence, the recursive formula is a1 = -3, an = an-1 + 6.

Learn more about this concept here:

brainly.com/question/12942847

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3 0

2 years ago

Which statements are true? Select three options. ∠F corresponds to ∠F'. Segment EE' is parallel to segment FF'. The distance fro

Gwar [14]

Answer:

The correct options are (1), (3) and (5).

Step-by-step explanation:

The two triangles are shown below.

The measure of ∠F corresponds to ∠F'.

The distance between the points D and origin is of 9 units.

And the distance between the points D' and origin is 3 units.

Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.

Check for similarity:

$\frac{D'F'}{DF}=\frac{D'E'}{DE}=\frac{F'E'}{FE}=\frac{1}{3}$

Thus, the △DEF is similar to △D'E'F'.

Thus, the correct options are (1), (3) and (5).

4 0

3 years ago

A car travels 180 miles in 3 hours. At the same rate of speed, how far will the car travel in h hours

Igoryamba

Answer:

60h

Step-by-step explanation:

180/3: Divide 180 by 3 to get the rate of change.

6 0

2 years ago

What is the equation of a line that is parallel to the line x=-2and passes through the point (-5, 4)?

Nimfa-mama [501]

First, it is important to understand that any equation that is x=some number is just a vertical line that hits the x-axis at the given number. For example, x=-2 would be a vertical line hitting the x-axis at -2. Therefore, the line we are trying to identify would also be vertical (and have the form x=some number) because we know the lines are parallel. Then, since we're given the point (-5,4), we know the line needs to hit the x-axis at -5, therefore the equation would be x=-5.

I hope this helps.

6 0

3 years ago

The function f(x) = −x2 + 28x − 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number

Rudik [331]

9514 1404 393

Answer:

C- (14, 4); The vertex represents the maximum profit.

Step-by-step explanation:

The leading coefficient of the quadratic function is negative, so the graph opens downward, and the vertex represents a maximum.

The maximum value is at ...

x = -b/(2a) = -28/(2(-1)) = 14

f(14) = -14^2 +28(14) -192 = 4

The vertex is (14, 4). It represents the maximum profit.

4 0

2 years ago