Solve for x. Round your answer to the nearest tenth. 27 30

Solve For X. Round Your Answer To The Nearest Tenth. 27 30

Answers

Answer 1

Answer:

Step-by-step explanation:

cos x° = [tex]\frac{27}{30}[/tex] = 0.9 ⇒ 25.8°

Answer 2

The value of x will be 25.8°. Option D is correct. Trigonometric formulas of cos is used in the given formula.  

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

From ΔABC it is obtained that;

[tex]\rm cos \theta = \frac{Base}{Hypotenuse} \\\\ os \theta = \frac{B}{H} \\\\ cos \ x^0=\frac{27}{30}\\\\ x^0=25.8^0[/tex]

The value of x will be 25.8°.

Hence,option D is correct.

To learn more about the trigonometry, refer to the link;

https://brainly.com/question/26719838

#SPJ2


Related Questions

f(x)=-2x^2+14/x^2-49 which statement describes the behavior of the graph of the function shown at the vertical asymptotes?

Answers

Answer:

Option 3 :

x → 7+, y → –[infinity]

Step-by-step explanation:

f(x) = (-2x² + 14)/(x² - 49)

x² - 49 = (x + 7)(x - 7)

Hence f(x) goes to infinity at x = - 7 or 7

x < - 7 = (-ve)(-ve) = + ve

=> x → –7–

Here, x² - 49 is + ve

-7 < x < 7 = (+ve)(-ve) = - ve

=> x → –7+ or x → 7– .

here, x² - 49 is - ve

x > 7 = (+ve)(+ve) = + ve

=> x → 7+

Here, x² - 49 is + ve

So (-2x² + 14) is - ve for all [ x → –7– , x → –7+ , x → 7– , x → 7+ ]

As,

-2(-7)² + 14 = -84 and -2(+7)² + 14 = -84

x → –7– = (-ve)/(+ve)

=> y → -[infinity].

x → –7+ or x → 7– = (-ve)/(-ve)

=> y → [infinity]

x → 7+ = (-ve)/(+ve)

=> y → -[infinity].

x → 7+, y → –[infinity]. is the correct option

The statement (C) as x approaches 7 from the left, y approaches -∞ describe the behavior of the graph of the function.

What is a function?

It is defined as a spceial type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a rational function:

[tex]\rm f(x) =\dfrac{-2x^2+14}{x^2-49}[/tex]

x² - 49 cannot be zero:

x² - 49 ≠ 0

x ≠ 7, x ≠  -7

From the graph, as x approaches 7 from the left, y approaches -∞

Thus, the statement (C) as x approaches 7 from the left, y approaches -∞ describe the behavior of the graph of the function.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

How many grams are in 1 Bag of suger

Answers

Answer:

One pound of granulated sugar converted to gram equals to 453.59 g. How many grams of granulated sugar are in 1 pound? The answer is: The change of 1 lb ( pound ) unit in a granulated sugar measure equals = into 453.59 g ( gram ) as per the equivalent measure and for the same granulated sugar type.

Alex is selling tickets to a school play. An adult ticket costs $6.50 and a student ticket costs $4.00. Alex sells x adult tickets and 12 student tickets. He made $243 selling tickets. How many adult tickets did he sell?

Answers

Alex sold 30 adult tickets

Answer:

30

Step-by-step explanation:

12x4=48

243-48=195

195/6.50= 30

hope that helps :)

what is 5/ 16 expressed as a percentage ​

Answers

Answer:

31.25%

Step-by-step explanation:

To express a number as a percent we will first divide the top number by the bottom number.

5/16 = 0.3125

A percent is expressed by moving the decimal two places to the left.

31.25%


Which steps show how to use the distributive property to evaluate 5. 58?
A. 5(58) = 5(50 + 8) = 5.50 – 5.8 = 250 – 40 = 210
B. 5(58) = 5(50 + 8) = 5.50 +8 = 250 + 8 = 258
C. 5(58) = 5(50 + 8) = 5.50 + 50 8 = 250 + 400 = 650
D. 5(58) = 5(50 + 8) = 5.50 +5.8 = 250 + 40 = 290

Answers

Answer:

D.

Step-by-step explanation:

You are splitting the equation up. (I don't really know how to explain it sorry)

The correct steps to evaluate 5 · 58 using the distributive property following are: 5(58) = 5(50 + 8) = 5 · 50 +5 · 8 = 250 + 40 = 290.

What is the distributive property of multiplication?

The product of a number by addition is equal to the total of the products of that number by each of the addends, according to the distribution property of multiplication.

The correct steps to evaluate 5 · 58 using the distributive property are:

Start with the expression 5 · 58.

Use the distributive property to rewrite the expression as 5(50 + 8).

Use the distributive property again to rewrite the expression as 5 · 50 + 5 · 8.

Calculate the value of each term in the resulting expression:

5 · 50 = 250 and 5 · 8 = 40.

Add the values of the two terms to get the final result:

250 + 40 = 290.

Therefore, the correct answer is D. 5(58) = 5(50 + 8) = 5 · 50 + 5 · 8 = 250 + 40 = 290.

To learn about the distributive property of multiplication here:

brainly.com/question/20754996

#SPJ5

does it look like I play any sports?? if so what sports

Answers

Answer:

ayyyye i play soccer too lol

Step-by-step explanation:

Answer:

looks like you play softball or basketball

Step-by-step explanation:

A picture is 3 in. wide by 5 in. high was enlarged so that the width was 15 inches. How high is the enlarged picture?

Answers

Answer:

25

Step-by-step explanation:

trust me

A case of bottled juice contains 30 bottles.Each case contained a total of 507 ounces of juice.Which equation represents the relationship between ounced of juice,y and number of bottles,x A.y=16.9x+30B.y=0.6x C.y=30x+16.9D.y=16.9x

Answers

Step-by-step explanation:

the answer is D (y=16.9)

I divided 507 and 30 and got the answer 16.9.

if you would've put any other answer it would've been wrong because the answer had the 30 in it after it was divided.(not sure if its 100% correct)

Fred can paint a 30-foot fence in 5 hours. Which of the following is true?

Answers

Answer:

lol

Step-by-step explanation:

Test the claim that the mean GPA of night students is larger than 2 at the .025 significance level. The null and alternative hypothesis would be: H 0 : μ = 2 H 0 : μ = 2 H 1 : μ > 2 H 1 : μ > 2 H 0 : p = 0.5 H 0 : p = 0.5 H 1 : p ≠ 0.5 H 1 : p ≠ 0.5 H 0 : p = 0.5 H 0 : p = 0.5 H 1 : p > 0.5 H 1 : p > 0.5 H 0 : μ = 2 H 0 : μ = 2 H 1 : μ < 2 H 1 : μ < 2 H 0 : p = 0.5 H 0 : p = 0.5 H 1 : p < 0.5 H 1 : p < 0.5 H 0 : μ = 2 H 0 : μ = 2 H 1 : μ ≠ 2 H 1 : μ ≠ 2 Based on a sample of 60 people, the sample mean GPA was 2.02 with a standard deviation of 0.06 The test statistic is (to 3 decimals) The critical value is (to 3 decimals) Based on this we fail to reject the null hypothesis reject the null hypothesis

Answers

Answer:

[tex]H_0: \, \mu = 2[/tex].

[tex]H_1:\, \mu > 2[/tex].

Test statistics: [tex]z \approx 2.582[/tex].

Critical value: [tex]z_{1 - 0.025} \approx 1.960[/tex].

Conclusion: reject the null hypothesis.

Step-by-step explanation:

The claim is that the mean [tex]\mu[/tex] is greater than [tex]2[/tex]. This claim should be reflected in the alternative hypothesis:

[tex]H_1:\, \mu > 2[/tex].

The corresponding null hypothesis would be:

[tex]H_0:\, \mu = 2[/tex].

In this setup, the null hypothesis [tex]H_0:\, \mu = 2[/tex] suggests that [tex]\mu_0 = 2[/tex] should be the true population mean of GPA.

However, the alternative hypothesis [tex]H_1:\, \mu > 2[/tex] does not agree; this hypothesis suggests that the real population mean should be greater than [tex]\mu_0= 2[/tex].

One way to test this pair of hypotheses is to sample the population. Assume that the population mean is indeed [tex]\mu_0 = 2[/tex] (i.e., the null hypothesis is true.) How likely would the sample (sample mean [tex]\overline{X} = 2.02[/tex] with sample standard deviation [tex]s = 0.06[/tex]) be observed in this hypothetical population?

Let [tex]\sigma[/tex] denote the population standard deviation.

Given the large sample size [tex]n = 60[/tex], the population standard deviation should be approximately equal to that of the sample:

[tex]\sigma \approx s = 0.06[/tex].

Also because of the large sample size, the central limit theorem implies that [tex]Z= \displaystyle \frac{\overline{X} - \mu_0}{\sigma / \sqrt{n}}[/tex] should be close to a standard normal random variable. Use a [tex]Z[/tex]-test.

Given the observation of [tex]\overline{X} = 2.02[/tex] with sample standard deviation [tex]s = 0.06[/tex]:

[tex]\begin{aligned}z_\text{observed}&= \frac{\overline{X} - \mu_0}{\sigma / \sqrt{n}} \\ &\approx \frac{\overline{X} - \mu_0}{s / \sqrt{n}} = \frac{2.02 - 2}{0.06 / \sqrt{60}} \approx 2.582\end{aligned}[/tex].

Because the alternative hypothesis suggests that the population mean is greater than [tex]\mu_0 = 2[/tex], the null hypothesis should be rejected only if the sample mean is too big- not too small. Apply a one-sided right-tailed [tex]z[/tex]-test. The question requested a significant level of [tex]0.025[/tex]. Therefore, the critical value [tex]z_{1 - 0.025}[/tex] should ensure that [tex]P( Z > z_{1 - 0.025}) = 0.025[/tex].

Look up an inverse [tex]Z[/tex] table. The [tex]z_{1 - 0.025}[/tex] that meets this requirement is [tex]z_{1 - 0.025} \approx 1.960[/tex].

The [tex]z[/tex]-value observed from the sample is [tex]z_\text{observed}\approx 2.582[/tex], which is greater than the critical value. In other words, the deviation of the sample from the mean in the null hypothesis is sufficient large, such that the null hypothesis needs to be rejected at this [tex]0.025[/tex] confidence level in favor of the alternative hypothesis.

You deposit $2000 in an account earning 3% interest compounded monthly.How much will you have in the account in 15 years?

Answers

Use the formula
A = P * (1 + R/N)NT

Where A = the final amount
P = initial principal
R = interest rate
N = number of times interest is compounded per year
T = number of years

In this case
A = 2000 * (1 + .05/12) ^(12 * 18)

A = 2000 * (1.0041667) ^(180)
A = 2000 *(2.1137)
A = 4227.40

Maths questions

X+1/x-6 times 7x/x+2

Answers

Answer:

7x^2+7x/x^2-4x-12

Step-by-step explanation:

Given the expression

X+1/x-6 times 7x/x+2

Rewrite

X+1/x-6 * 7x/x+2

= 7x(x+1)/(x-6)(x+2)

= 7x^2+7x/x^2+2x-6x-12

= 7x^2+7x/x^2-4x-12

Hence the product of both function is expressed as 7x^2+7x/x^2-4x-12

A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 19 feet more than the length of the shortest side. Find
the dimensions if the perimeter is 163 feet.
What is the length of the shortest side?
The length of the shortest side is

Answers

This is simple as the perimeter is given. All you have to do is make an expression and then equate it to the perimeter.

Side lengths:

Shortest Side: [tex]x[/tex]

1st side: [tex]2x[/tex] (Given that it's twice the length of the shortest of twice of [tex]x[/tex])

3rd side: [tex]x + 19[/tex] (Given that it's 19 more than the length of the shortest side or [tex]x[/tex])

Since the perimeter is just the addition of all the sides of the shape, the perimeter is going to be the addition of all the expression we made.

So the final expression is going to be: [tex]x + 2x + x + 19[/tex]

This is nothing but the perimeter so we can therefore equate it to [tex]163[/tex]

[tex]x + 2x + x + 19 = 163[/tex]

Now we solve the equation. Here it goes!:

[tex]4x + 19 = 163\\4x = 163 - 19\\4x = 144\\x = 144/4 = 36[/tex]

Therefore, [tex]x = 36[/tex]

So now we plug them into the previous expressions we made for the sides and you get:

Shortest side: [tex]36[/tex]

1st side: [tex]72[/tex]

3rd side: [tex]55[/tex]

And also, the length of the shortest side is [tex]36[/tex] as mentioned previously :D

What is 6 2/3 x 1 1/2

Answers

Answer:

6 2/3 x 1 1/2 is 10

Step-by-step explanation:

In science class, Polly learned that trees help make the oxygen that people breathe. One tree makes about 250 pounds of oxygen each year. Polly wonders how much oxygen the trees on her street make. When she gets home, she counts 32 trees on her street. How many tons of oxygen do they make in a year?

Answers

Answer:

They make 4 approximately tons of oxygen each year.

Step-by-step explanation:

( 250lbs × 32 ) ÷ 2000 = 4t

250 pounds because each tree makes about 250 pounds of oxygen a year.

× 32 because there are 32 trees, so they'll make 32 times more oxygen than one tree.

÷ 2000 because before that everything was in pounds, and the question asks about tons. There are 2000 pounds in a ton, so you divide by 2000 to get the answer, which is 4 tons.

If 7x + 5y = 25 and 3x + 2y = 10, what is the value of x +y?

Answers

Answer:

Step-by-step explanation:

7x+5y=25

3x+2y=10

21x+15y=75

21x+6y=30

0x+11y=45

11y=45

y=45/11

y = 4.09

sub in 4.09 into equation 1

7x+5(4.09)=25

7x+20.45=25

7x=25-20.45

x=4.55/7

I need help pleaseeeee

Answers

Answer is D
Please mark me as brainless if right

A normal distribution has a mean of 10 and a standard deviation of 1. What is the probability of selecting a number that is at most 10

Answers

Answer:

15.87% probability of selecting a number that is at most 9

Step-by-step explanation:

How many milliliters of full-strength Sustacal are needed to prepare 240ml of half-strength sustacal?

Answers

The question is incomplete, the complete question is;

How many milliliters of full-strength Sustacal are needed to prepare 240 mL of half-strength Sustacal?

1. 120 mL

2. 240 mL

3. 360 mL

4. 480 mL

Answer:

120 mL

Step-by-step explanation:

From the question, we can see that the full strength solution is supposed to contain 240 ml of Sustacal .

If that is so, we can get a half strength solution by using only 120 ml of full strength solution and making up the remaining volume with water. This solution now has half the strength of a 240 ml full strength solution.


2,5,9,12,7,10,6,3,6
a) find the mean of the above data​

Answers

Answer:

Step-by-step explanation:

2,5,9,12,7,10,6,3,6

mean=(2+5+9+12+7+10+6+3+6)/9

=60/9

=6.67(approx)

PLEASE HELP ILL GIVE AS MANY POINTS AS YOU WANT!!!

And to some reason this was deleted???! Cause I didn’t mean to if I did

Answers

Answer:

1. Take the value of X and replace X with that value in the equation.

2. Now you solve Y.

Find the slope of the line given the pair of points.
(-9,5), (10, 4)

Answers

Answer:

-1/19

Step-by-step explanation:

John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. Complete the table.

A 6-column table with 1 row. Column 1 is labeled Approximate Value with entry 100 dollars. Column 2 is labeled Exact Value with entry 75 dollars. Column 3 is labeled Error with entry 25 dollars. Column 4 is labeled Absolute Error with entry 25 dollars. Column 5 is labeled Ratio with entry e. Column 6 is labeled Percent Error with entry f.

What is the ratio? e =
What is the percent error? f =

Answers

Answer:

I think it would be Column 2

Step-by-step explanation:

Answer:

What is the ratio? e = 25/75

What is the percent error? f = 33%

Step-by-step explanation:


10 POINTS.. ILL GIVE BRAINLIEST
Solve for x:
a) x = 18
b) x = 19
c) X = 20
d) x = 21

Answers

Answer:

D. x = 21

Step-by-step explanation:

So a straight line is equal to 180º and that's what we're trying to figure out here. Set both equations to equal 180, it should look like:

5x + 4x - 9 = 180

Now we just solve!

5x + 4x - 9 = 180

5x + 4x = 9x

9x - 9 = 180

     +9     +9

------------------

9x = 189

Divide both sides by 9 to get x by itself.

189/9 = 21

x = 21

25 percent of ____ is 6

Answers

Answer:

24

Step-by-step explanation:

1/4 of x is 6 so you multiply 6 by 4

The answer is 24 i know

Consider the function f(x)=xln(x). Let Tn be the nth degree Taylor approximation of f(2) about x=1. Find: T1, T2, T3. find |R3| <= ?

Answers

Answer:

R3 <= 0.083

Step-by-step explanation:

f(x)=xlnx,

The derivatives are as follows:

f'(x)=1+lnx,

f"(x)=1/x,

f"'(x)=-1/x²

f^(4)(x)=2/x³

Simialrly;

f(1) = 0,

f'(1) = 1,

f"(1) = 1,

f"'(1) = -1,

f^(4)(1) = 2

As such;

T1 = f(1) + f'(1)(x-1)

T1 = 0+1(x-1)

T1 = x - 1

T2 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2

T2 = 0+1(x-1)+1(x-1)^2

T2 = x-1+(x²-2x+1)/2

T2 = x²/2 - 1/2

T3 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2+f"'(1)/6(x-1)^3

T3 = 0+1(x-1)+1/2(x-1)^2-1/6(x-1)^3

T3 = 1/6 (-x^3 + 6 x^2 - 3 x - 2)

Thus, T1(2) = 2 - 1

T1(2) = 1

T2 (2) = 2²/2 - 1/2

T2 (2) = 3/2

T2 (2) = 1.5

T3(2) = 1/6 (-2^3 + 6 *2^2 - 3 *2 - 2)

T3(2) = 4/3

T3(2) = 1.333

Since;

f(2) = 2 × ln(2)

f(2) = 2×0.693147 =

f(2) = 1.386294

Since;

f(2) >T3; it is significant to posit that T3 is an underestimate of f(2).

Then; we have, R3 <= | f^(4)(c)/(4!)(x-1)^4 |,

Since;

f^(4)(x)=2/x^3, we have, |f^(4)(c)| <= 2

Finally;

R3 <= |2/(4!)(2-1)^4|

R3 <= | 2 / 24× 1 |

R3 <= 1/12

R3 <= 0.083

Use the graph of y = sin x to find all values of x, 0 < x < 2pi, for which the following is true. (Enter your answers as a comma-separated list.)
sin x = 0​

Answers

Answer:

if x = pi/2, then y =1.

if x = pi/4, then y = [tex]\frac{\sqrt{2 } }{2}[/tex]

if x = pi, then y = 0

Step-by-step explanation:

The required answer as a comma-separated lists are (0, 0),  ([tex]\frac{\pi}{6}[/tex], 0.5), ( [tex]\frac{\pi}{4}[/tex],  [tex]\frac{1}{\sqrt{2} }[/tex]),  ( [tex]\pi[/tex], 0)

Given the equation of a sine graph expressed as:

[tex]y=sinx[/tex] for all values of x within the range 0 < x < 2π

We need to get the value of y for the values of x within the range as shown:

If x = 0;

y = sin0

y = 0

The required solution is (0, 0)

If x = 30;

y = sin30

y = 0.5

The required solution is ([tex]\frac{\pi}{6}[/tex], 0.5)

If x = [tex]\frac{\pi}{4}[/tex];

y = sin [tex]\frac{\pi}{4}[/tex]

y = [tex]\frac{1}{\sqrt{2} }[/tex]

The required solution is ( [tex]\frac{\pi}{4}[/tex],  [tex]\frac{1}{\sqrt{2} }[/tex])

If x = [tex]\pi[/tex]

y = sin [tex]\pi[/tex]

y = 0

The required solution is at ( [tex]\pi[/tex], 0)

If x = [tex]2\pi[/tex]

y = sin[tex]2\pi[/tex]

y = 0

Hence the required answer as a comma-separated lists are (0, 0),  ([tex]\frac{\pi}{6}[/tex], 0.5), ( [tex]\frac{\pi}{4}[/tex],  [tex]\frac{1}{\sqrt{2} }[/tex]),  ( [tex]\pi[/tex], 0)

Learn more here: https://brainly.com/question/2919352

A car is sold for $18,000. After one year, the value of the car is $9,900. Write an exponential function y to determine the value of
the car after x years if the rate of decrease is the same each year.
y =
Estimate the value of the car after 6 years. Round the answer to the nearest dollar.

Answers

Answer:

temperature and kinctic energy are related

i need points. hope you understand.

Determine whether the given ordered pair is a solution of the system.
(1, -8)
y = 5x - 13
2x + 4y = - 30

Answers

Yes it is. Insert 1 in the place of x for both equations and insert -8 in place of y.

Which ordered pairs are solutions to the equation 5x+12y=15?

Answers

:)))))))))))))))))))))))))))))
Some ordered pair solutions are:

• (0,5/4)
• (1,5/6)
• (2,5/12)

Hope this helps!
Other Questions
The rule that the Right of Occupancy is based on.( native American studies) What is the formula of copper (iii) carbonate? And what is the name of CuPO4? HURRY Mrs. Rodriguez wants to pay her restaurant bill which is $24.00. If Mrs. Rodriguez wants to leave a 20% tip on the total, how much should she pay?a. $20.35 b. $26.40 c. $28.80 d. $33.60 Please answer this question correctly A 2-yard piece of ribbon costs $22.32. What is the price per inch?You have to divide could yall help me out :) thanks According to the lecture, all of the following are examples of environmental factors that influence mental health disorders EXCEPT: Segment A'B' is parallel to segment AB. What is the length of segment AB? What is the length of segment B'B? Your answer should be in decimal form with only one decimal place. Which of the following statements illustrate how fossils record the evolution of defensive mechanisms over time? which ever one is true right true under it.Fossils after the Precambrian period show evidence of legs and eyes, indicating that the presence of predators stimulated the beginning of animal diversity.Fossils that are found in cold arctic environments are known to belong to an animal species that once lived in much warmer climates.Many marine fossils have high contents of silica and calcium, which indicate the use of these materials to encase the bodies of organisms.Fossil body parts of an animal and its location of excavation confirm that these animal species underwent minimal adaptations from one period to the next. dont be childish I will report thanks factorise fully3x^3 - 9x What is a "first quarter" when talking about phases of the Moon? a fully lit Moon half of the Moon illuminated 1/4 of the Moon is light a dark Moon Write an email to a friend about an attempted robbery in a local shop. Your email should bebetween 150-200 words. You should include the following points: What you were doing at the shop How you reacted What happened after the robbery Why were the clans so important in the Cherokee culture When might you use the Bank Deposit Transaction in quickbooks online? WHEN IS OCTOBER 17 WHAT ZODIAC IS IT How do I block someone in brainly/ pls help me someone has been bothering me What is the slope of the line on the graph? 11/223 PLEASE HELPWhat is the difference (2 x minus 3) minus (x minus 1)? x minus 4 x minus 2 x + 2 x + 4 Which of the following statements represents academic field support for the humanistic perspective?The humanistic perspectives optimistic view on human nature led to more positive psychology. The humanistic perspective has a very realistic view of human nature. The humanistic perspectives theories are easily tested and measured.The humanistic perspective has extensive research to back its theories. Does this graph represent a function? khan academy