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3 years ago

What is the value of x to the nearest tenth?

Mathematics

2 answers:

saveliy_v [14]3 years ago

7 0

$\tan(\Theta) = \dfrac{\text{opp}}{\text{adj}}$

$\tan(43) = \dfrac{x}{12}$

$x = \tan(43) \times 12$

$x = 11.2$

VARVARA [1.3K]3 years ago

3 0

You have 2 legs and the angle, the angle is opposite to the leg,
so we can write TAN of the angle

tan(43°)= (opposite leg)/(adjacent leg)
tan(43°)= x/12
x=12*tan(43°)≈ 11.2

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Which expression is equivalent to (8^2)^-4

xz_007 [3.2K]

Answer:

C: $\frac{1}{8*8*8*8*8*8*8*8}$

Step-by-step explanation:

$a^{-n} = \frac{1}{a^n}$

Since a = $8^2$ :

$(8^2)^{-n} = \frac{1}{(8^2)^n} =\frac{1}{8^{2n}}$

Since n = 4 :

$(8^2)^{-4} =\frac{1}{8^{2*4}}=\frac{1}{8^{8}}=\frac{1}{8*8*8*8*8*8*8*8}$

6 0

3 years ago

If the sum of the measures of the interior angles of a polygon is 1920°, how many sides does it have? math

Inessa05 [86]

Answer: There is no polygon with the sum of the measures of the interior angles of a polygon is 1920°.

Step-by-step explanation:

The sum of the measures of interior angles of a polygon with $n$ sides is given by:-

$(n-2)\times180^{\circ}$

Given: The sum of the measures of the interior angles of a polygon is 1920°.

i.e. $(n-2)\times180^{\circ}=1920^{\circ}$

$n-2=\dfrac{1920}{180}\\\\ n= \dfrac{1920}{180}+2\\\\ n=\dfrac{2280}{180}=12.67$

But number of sides cannot be in decimal.

Hence, there is no polygon with the sum of the measures of the interior angles of a polygon is 1920°.

7 0

3 years ago

In a random sample of 8 people, the mean commute time to work was 33.5 minutes and the standard deviation was 7.2 minutes. A 95

Elina [12.6K]

Answer: Margin of error = 6.58

Confidence interval = (26.91, 40.08)

Step-by-step explanation:

Since we have given that

Sample size n = 8

Sample mean = 33.5 minutes

Population standard deviation = 9.5 minutes

At 95% confidence interval,

α = 0.05

t = 1.96

So, Margin of error is given by

$t\times \dfrac{\sigma}{\sqrt{n}}\\\\=1.96\times \dfrac{9.5}{\sqrt{8}}\\\\=6.58$

Confidence interval would be

Lower limit:

$\bar{x}-6.58\\\\=33.5-6.58\\\\=26.91$

Upper limit:

$\bar{x}+6.58\\\\=33.5+6.58\\\\=40.08$

Hence, the interval would be (26.91, 40.08)

But at standard deviation 7.2 minutes, the confidence interval was (27.5, 39.5)

Confidence interval using the standard normal distribution is wider than the confidence interval using t distribution.

3 0

3 years ago

Identify the terms. Then identify the coefficients of the variable terms of the expression. (Enter your answers as a comma-separ

tino4ka555 [31]

Answer:

The set of coefficients asociated with the given polynomial in ascending order is $[C] = \{4,0,5\sqrt{3}\}$ .

Step-by-step explanation:

Let $y = 5\sqrt{3}\cdot x^{2}+4$ , which is a polynomic function, defined as:

$y = \Sigma_{i=0}^{n}c_{i}\cdot x^{i}$ (1)

Where:

$c_{i}$ - i-th Coefficient.

$x^{i}$ - i-th Power.

$n$ - Grade of the polynomial.

We notice that given polynomial has degree 2 and can be rewritten by applying this definition:

$y = 4 + 0\cdot x + 5\sqrt{3}\cdot x^{2}$

Then, the set of coefficients asociated with the given polynomial in ascending order is:

$[C] = \{4,0,5\sqrt{3}\}$

7 0

3 years ago

hello can plzz help me with this question wil mark u brainlest and its for 18 points the file is down below thank u :)

Hoochie [10]

Answer:

a rectangular prism

Step-by-step explanation:

consists of 6 faces which are rectangles

8 0

3 years ago

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