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Arlecino [84]
3 years ago
15

Find the length of the missing side when x=3. Round the answer to the nearest tenth.

Mathematics
1 answer:
Juliette [100K]3 years ago
5 0

Answer/Step-by-step explanation:

The missing length can be found by applying pythagorean theorem. Thus:

Missing length = √((8x)² - (2x)²)

Missing length = √(64x² - 4x²)

✔️Missing length = √(60x²) = 2x√15

Plug in the value of x which is 3

Missing length = 2*3√15

✔️Length = 6√5

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PLEASE help !!! I’m struggling and I suck at math. Can someone answer this for me? For points and brainly !
Helen [10]

Answer:

\huge\boxed{2329 \ \text{pounds}}

Step-by-step explanation:

In order to solve this equation, let's see what we already know.

  • We know two points on the graph <em>which we can use to find the slope</em>

That's about it.

However, this can come useful to find the slope between the two points, which is the slope for the entire graph (since this is linear). The slope between two points is usually defined as \frac{\Delta y}{\Delta x} (change in y / change in x). Our two points are (18, 2017) and (48, 2212).

The change in y between our two points is 2212-2017 = 195, and the change in x is 48 - 18 = 30. Our slope will then be \frac{195}{30}, which comes out to be approximately 6.5. Therefore, our slope is 6.5.

Now that we know the slope, we can substitute inside our equation in slope intercept form.

y = 6.5x+b

We have yet to find b, the y-intercept (how much the plane itself weighs). To find b, we can substitute a point on the graph into the equation and solve for b. We know that the point (18, 2017) is on the graph so let's use that.

  • 2017 = 6.5 \cdot18 + b
  • 2017 = 117 + b
  • 1900= b

Now that we know our y-intercept is 1900, we can create our equation by using the slope and the y-intercept.

y=6.5x+1900

Finally, to find the weight of the plane with 66 pounds of fuel, we can substitute 66 inside this equation as x.

  • y = 6.5 \cdot66+ 1900
  • y = 429+1900
  • y=2329

So the plane weighed 2329 pounds with 66 gallons of fuel.

Hope this helped!

7 0
2 years ago
Read 2 more answers
1.2, 3, 7.5, 18.75, ...<br><br> Which formula can be used to describe the sequence?
Nady [450]

Answer:

The formula is:

a_n=1.2(\frac{5}{2})^{n-1}

Step-by-step explanation:

The geometric sequences are those in which the division between the terms a_{n + 1} and a_n of the sequence are equal to a constant common reason called "r"

The geometrics secencias have the following form:

a_n=a_1(r)^{n-1}

Where a_1 is the first term of the sequence

In this sequence we have the following terms

1.2, 3, 7.5, 18.75

Then notice that:

\frac{3}{1.2}=\frac{5}{2}\\\\\frac{7.5}{3}=\frac{5}{2}\\\\\frac{18.75}{7.5}=\frac{5}{2}

Then:

r=\frac{5}{2}  and a_1=1.2

Finally the formula is:

a_n=1.2(\frac{5}{2})^{n-1}

5 0
3 years ago
Read 2 more answers
What is negative 5 and start fraction 5 over 8 end fraction + 3 and one half​
Vikentia [17]

Answer:

Step-by-step explanation: the answer is -2 1/8 or c

3 0
3 years ago
You are told that in a billiards shot, the cue ball was shot at the eight ball, which was 8 inches away. As a result, the eight
Trava [24]
The answer is ten inches 
5 0
3 years ago
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Evaluate. show your work or explain your reasoning -|-8|
kramer

Answer:

The answer is -8.

Step-by-step explanation:

The absolute value is the distance between a number and zero, and it is always positive.  The distance between -8 and 0 is 8. Then, once the absolute value is found, the actual answer needs to be found by multiplying 8 by (-1). Usually the number in front of an absolute value is 1; however, this absolute value has a negative in front of it, which causes the 1 to become a -1. Thus, causing the final answer to be -8.

3 0
3 years ago
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