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nevsk [136]
3 years ago
7

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Mathematics
1 answer:
anastassius [24]3 years ago
4 0

Answer:

  15.62

Step-by-step explanation:

The Pythagorean theorem tells you the relation between the side lengths is ...

  x^2 = 12^2 + 10^2 . . . the sum of squares of sides is the square of the hypotenuse

  x^2 = 244

  x = √244 ≈ 15.62

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Sari wrote the equivalent ratios below to convert cups to fluid ounces. StartFraction 8 fluid ounces Over 1 cup EndFraction = St
Amiraneli [1.4K]

Answer:

(B)72 fluid ounces

Step-by-step explanation:

To convert cups to fluid ounces, Sari wrote the equivalent ratios.

\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{? fluid ounces}}{9\text{ cups}}

Let the question mark be represented by x.

We then have:

\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{x fluid ounces}}{9\text{ cups}}\\$Cross multiply\\x \times 1 = 8 \times 9\\x=72$ fluid ounces

We conclude that there are 72 fluid ounces in 9 cups.

7 0
3 years ago
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Ples help me i woud be aprishated
worty [1.4K]

Answer:

Number 2 is  A

Step-by-step explanation:

5 is 380% because 405-22 is 383 if you round that it is 380%

5 0
3 years ago
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Considering only the values of <img src="https://tex.z-dn.net/?f=%5Cbeta" id="TexFormula1" title="\beta" alt="\beta" align="absm
morpeh [17]

\large\boxed{Answer:}

We will use trigonometric identities to solve this. I will use θ (theta) for the angle.

First of all, we know that cotθ = 1/tanθ. This is a trigonometric identity.

We can replace cotθ in the expression with 1/tanθ.

sin\theta tan\theta sec\theta \frac{1}{tan\theta}

Simplify: 1/tanθ * tanθ = tanθ/tanθ = 1

So now, we have:

sin\theta sec\theta

Next, we also know that secθ = 1/cosθ. This is another trigonometric identity.

We can replace secθ with 1/cosθ in our expression.

sin\theta \frac{1}{cos\theta}

Simplify:

\frac{sin\theta}{cos\theta}

Our third trigonometric identity that we will use is tanθ = sinθ/cosθ.

We can replace sinθ/cosθ with tanθ.

Now we have as our final answer:

\large\boxed{b.\ tan\theta}

Hope this helps!

7 0
3 years ago
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Find the distance between <img src="https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B12%7D" id="TexFormula1" title="\frac{7}{12}" alt="\
jek_recluse [69]

Answer:

5/36

Explanation:

Distance on a number line is basically difference between two numbers. So we subtract the two numbers. This can be solved on a calculator btw. 7/12 - √16/81 = 5/36.

3 0
2 years ago
How do I solve this? How do you get this answer?I need this by tomorrow someone please help!!
rusak2 [61]
M(x) = x² - 4x + 3
m(x) = x² - x - 3x + 3
m(x) = x(x - 1) - 3(x - 1)
m(x) = (x - 3)(x - 1)

(x - 3)(x - 1) = 0
x - 3 = 0 ∧ x - 1 = 0
<u>x = 3 ∧ x = 1</u>

or 

m(x) = x² - 4x + 3
Δ = (-4)² - 4 · 1 · 3
Δ = 16 - 12 = 4
√Δ = √4
√Δ = 2

x = (4 - 2)/2 ∧ x = (4 + 2)/2
x = 2/2 ∧ x = 6/2
<u>x = 1 ∧ x = 3</u>
6 0
3 years ago
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