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3 years ago

25 POINTS WILL MARK RIGHT ANSWER AS BRAINLIEST! What is the value of x to the nearest tenth?

Mathematics

2 answers:

andreyandreev [35.5K]3 years ago

7 0

Answer:

The value of x is 2.5 to the nearest tenth

Step-by-step explanation:

* Lets revise the trigonometry functions

- In any right angle triangle:

# The side opposite to the right angle is called the hypotenuse

# The other two sides are called the legs of the right angle

* If the name of the triangle is ABC, where B is the right angle

∴ The hypotenuse is AC

∴ AB and BC are the legs of the right angle

- ∠A and ∠C are two acute angles

- For angle A

# sin(A) = opposite/hypotenuse

∵ The opposite to ∠A is BC

∵ The hypotenuse is AC

∴ sin(A) = BC/AC

# cos(A) = adjacent/hypotenuse

∵ The adjacent to ∠A is AB

∵ The hypotenuse is AC

∴ cos(A) = AB/AC

# tan(A) = opposite/adjacent

∵ The opposite to ∠A is BC

∵ The adjacent to ∠A is AB

∴ tan(A) = BC/AB

* Now lets solve the problem

∵ x is opposite to the angle of measure 23°

∵ 6 is adjacent to the angle of measure 23°

∴ tan(23°) = x/6 ⇒ × 6 to both sides

∴ x = 6 × tan(23°) = 2.5

* The value of x is 2.5 to the nearest tenth

olganol [36]3 years ago

4 0

Answer: $x=2.5$

Step-by-step explanation:

You need to remember the identity:

$tan\alpha=\frac{opposite}{adjacent}$

You can identify in the figure that for the angle 67°:

$\alpha=67\°\\opposite=6\\adjacent=x$

Then you need to substitute these values into $tan\alpha=\frac{opposite}{adjacent}$ and solve for "x":

$tan(67\°)=\frac{6}{x}\\\\xtan(67\°)=6\\\\x=\frac{6}{tan(67\°)}\\\\x=2.5$

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kolezko [41]

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Step-by-step explanation:

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3 years ago

The surface area of a sphere is 113.04 mm2. What is the volume of the sphere? Use 3.14 for π and round to the nearest hundredth.

Phoenix [80]

By definition, the surface area of the sphere is given by:
$A = (4) * ( \pi ) * (r ^ 2)
$
Where,
r: sphere radio
Clearing r we have:
$r = \sqrt{A / (4 * \pi )} 

$
Substituting values:
$r = \sqrt{113.04 / (4 * 3.14 )}$
$r = 3 mm
$
Then, the volume of the sphere is given by:
$V = (4/3) * (\pi) * (r ^ 3)
$
Substituting values we have:
$V = (4/3) * (3.14) * (3 ^ 3)

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Answer:
the volume of the sphere is:
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5 0

3 years ago

Read 2 more answers

Which are the better statistics to use to compare the penguin heights?

frozen [14]

Answer:

The correct options are A and B.

Step-by-step explanation:

The Penguin Heights at City view Zoo (in cm) is:

S = {35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45}

Compute the mean and median of the data:

$\text{Mean}=\frac{1}{n}\sum X\\\\=\frac{1}{11}\times [35+36+37+38+39+40+41+42+43+44+45]\\\\=40$

$\text{Median}=[\frac{n+1}{2}]^{th}obs.\\\\=[\frac{11+1}{2}]^{th}obs.\\\\=6^{th}obs.\\\\=40$

The mean and median are same.

Tis implies that the height of penguins are normally distributed.

So, either the mean or median could be the best measure of center.

Standard deviation is one of the measure of dispersion or spread of a dataset from the average value of the dataset. The standard deviation measures the absolute variability of the distribution of values.

The higher the spread or variability in the data set, the greater is the standard deviation value and thus greater will be the magnitude of the deviance of the value from their average.

Thus, the correct options are A and B.

3 0

3 years ago

Please Help ASAP

Orlov [11]

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the lowest point, or lowest cost value, it reaches, is the U-turn point, or vertex

$\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{llccll}
y = &{{ 1}}x^2&{{ -320}}x&{{ +40052}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
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3 years ago