1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
a_sh-v [17]
3 years ago
8

Find the value of x.

Mathematics
2 answers:
slamgirl [31]3 years ago
6 0
\cos x^o=\dfrac{3.0}{6.8}\\\\\cos x^o=0.4412\to x^o\approx64^o\\\\Answer:\ x=64
marysya [2.9K]3 years ago
5 0

Answer:  The required value of x is 64.

Step-by-step explanation:  We are given to find the value of x from the figure.

From the figure, we see a right-angled triangle in which an acute angle has measurement x°.

And, for the angle with measurement x°, the base has a length of 3.0 units and hypotenuse has a length of 6.8 units.

Therefore, the cosine of that angle will be

\cos x^\circ=\dfrac{base}{hypotenuse}\\\\\\\Rightarrow \cos x^\circ=\dfrac{3.0}{6.8}\\\\\\\Rightarrow \cos x^\circ=0.4411\\\\\Rightarrow x^\circ=\cos^{-1}(0.4411)\\\\\Rightarrow x^\circ=63.83^\circ\\\\\Rightarrow x=63.83.

So, to the nearest whole number, we get

x = 64.

Thus, the required value of x is 64.

You might be interested in
Multiply 5x(x-2)(2x+1)
Aleks04 [339]
-20x is probably the correct answer
4 0
3 years ago
Evaluate -x+4 when x = -2
Gnesinka [82]

Answer:

6

Step-by-step explanation:

=> -x+4

<u><em>Given that x = -2</em></u>

=> -(-2)+4

=> 2+4

=> 6

6 0
3 years ago
Read 2 more answers
A forester studying the effects of fertilization on certain pine forests in the Southeast is interested in estimating the averag
ahrayia [7]

Answer:

P(-2 \leq \bar X -\mu \leq 2)

If we divide both sides by \frac{\sigma}{\sqrt{n}} we got:

P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})

And we can use the normal distribution table or excel to find the probabilites and we got:

P(-1.5 \leq Z \leq 1.5)= P(ZStep-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the area of a population, and for this case we know the distribution for X is given by:

X \sim N(M,4)  

Where \mu=M and \sigma=4

We select a a sample of n =4 and since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want to find this probability:

P(-2 \leq \bar X -\mu \leq 2)

If we divide both sides by \frac{\sigma}{\sqrt{n}} we got:

P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})

And we can use the normal distribution table or excel to find the probabilites and we got:

P(-1.5 \leq Z \leq 1.5)= P(Z

8 0
3 years ago
What is the volume of a right circular cylinder with a radius of 5 cm and a height of 12 cm?
dexar [7]

Answer:

Answer C

Step-by-step explanation:

Formula

Volume = pi * r^2 * h

Givens

  • r = 5 cm
  • h = 12  cm

Solution

  • V = pi * 5^2 * 12
  • V = pi * 25 * 12
  • V = 300 pi

Answer = C

8 0
3 years ago
Write the missing powers<br> of 10.<br> _____x0.005 = 5
pentagon [3]

Answer:

its 0.45

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Please help, I need the answer ASAP! This is timed... Which expression is equivalent to 3x^-6y^-3 / 15x^2y^10 ? Assume x≠0, y≠0.
    15·2 answers
  • You just turned 18, and you can get your own credit card. But, because you are a young person with no credit history your intere
    12·2 answers
  • Can someone tell me what to press
    11·1 answer
  • Find the distance between points A (5.-7) and B (-3,-4)
    9·1 answer
  • Which one is a function?
    15·1 answer
  • If p is true and q is false, then p ∨ q is true. <br> A. True<br> B. False
    6·1 answer
  • Which is equivalent to log Subscript 2 Baseline n = 4?
    9·2 answers
  • Fill in the missing numbers.<br> __+-3.5=7.25<br> -3/4-__=1/2<br> -2 3/8-(-4 2/3) = __
    10·1 answer
  • What means the same as 6 × 5? 65 5 5 5 5 5 6 6 6 6 6.
    10·1 answer
  • WILL MAKE BRAINLIEST!!! <br> Find the volume of the prism.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!