If 0 = 35, then solve for X.
X
9
Round to the nearest hundredth.

If 0 = 35, Then Solve For X.X9Round To The Nearest Hundredth.

Answers

Answer 1

Answer:

x = 15.69

Step-by-step explanation:

Given that,

Height, h = 9

Hypotenuse, H = x

Angle, [tex]\theta=35[/tex]

We need to find the value of x.

The relation between height, Hypotenuse and the angle is given by :

[tex]\sin\theta=\dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\\sin(35)=\dfrac{9}{x}\\\\x=\dfrac{9}{\sin(35)}\\\\x=15.69[/tex]

So, the value of x is 15.69.


Related Questions

If the graph of y = Ixl is translated so that the point (1, 1) is moved to (1, 4), what is the equation of the new graph?

Answers

Answer:

y = |x| + 3

Step-by-step explanation:

The point moved up the y-axis positive 3 units.

2x + 8=12 what is the value of 4x + 2

Answers

Answer:

2x + 8 = 12

x = 2

4x = 2 = 10

Step-by-step explanation:

A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The State University wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools.
a) They select a random sample of 500 applications, and find that 46 of those students attend private schools. Check the conditions required for inference. (3 marks)
b) Create the 90% confidence interval. (6 marks)
c) Interpret the confidence interval in the context of the problem. (3 marks)
d) Should the admissions officers conclude that the percentage of private school students in their applicant pool is lower than the statewide enrollment rate of 12%? Explain. (2 marks)

Answers

Answer:

a)  p*n =  46     and  q*n  =  454 data is enough for inference

b) CI =  (   0,099 ;  0,141)

c) CI we will find with 90% of confidence the value of p in that interval

d) No, we accept H₀  we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education

Step-by-step explanation:

Information from A state´s Department of Education is:

p₀  =  12 %    p₀ = 0,12

The State University sample:

Sample size   n  = 500

Sample proportion   46   out of 500      

p  =  46/500     p =  0,092     then    q =  1- p   q  =  1 - 0,092    q = 0,908

Both    p*n =  46     and  q*n  =  454

a) Are big enough to approximate the binomial distribution to normal distribution

b) CI = 90%   CI = 0,9     significance level  α = 0,10  for an CI we need

α/2   =  0,10/2      α/2 = 0,05

z(c)  =  - 1,64     ( from  z-table)

MOE  =  z(c)*√(p*q)/n

MOE  =   1,64 * √ ( 0,092*0,908)/500

MOE  =  1,64 *√0,08353/500

MOE  =  1,64 * 0,0129

MOE  = 0,021

Then  CI = 90 % is:

CI  =  (  0,12 -  0,021   <  P  <  0,12 + 0,021 )

CI =  (   0,099 ;  0,141)

We have with 90 % of confidence for finding the value of p in the interval

Test Hypothesis

Null Hypothesis                        H₀             p  =  p₀

Alternative Hypothesis            Hₐ             p < p₀

we have  for  α = 0,1     z(c)  =  - 2,32  from z table

And  z(s)  = ( p  -  p₀  ) /  √ (p*q)/n

z(s)  = ( 0,092 - 0,12 ) / √(0,092*0,908)/500

z(s)  =  - 0,028 / 0,0129

z(s)  =  - 2,17

Comparing  z(s)  and  z(c)  we see that

|z(s)| < |z(c)|

So  z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education

r(x)=2square root of x S(x)= square root of x (rs)(4)=

Answers

Answer:

[tex](rs)(4) = 8[/tex]

Step-by-step explanation:

Given

[tex]r(x) = 2\sqrt{x[/tex]

[tex]s(x) = \sqrt x[/tex]

Required

Determine [tex](rs)(4)[/tex]

In functions:

[tex](fg)(x) = f(x) * g(x)[/tex]

This implies that:

[tex](rs)(x) = r(x) * s(x)[/tex]

Substitute values for r(x) and s(x)

[tex](rs)(x) = 2\sqrt{x} * \sqrt{x}[/tex]

[tex](rs)(x) = 2(\sqrt{x})^2[/tex]

[tex](rs)(x) = 2x[/tex]

Substitute 4 for x

[tex](rs)(4) = 2 * 4[/tex]

[tex](rs)(4) = 8[/tex]

A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion of those who make a donation when contacted by phone is known to be p=0.05. For samples of size 100, which of the following best interprets the mean of the sampling distribution of the sample proportion of people who make a donation when contacted by phone?

a. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.05.
b. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.07.
c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
d. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.07.
e. The probability that the mean of the sampling distribution of sample proportions is greater than 0.07 is 0.05.

Answers

Answer: c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.

Step-by-step explanation:

Mean of the sampling distribution of the sample proportion = p (Population proportion.)

Here, the population proportion of those who make a donation when contacted by phone is known to be p=0.05.

Then, Mean = p = 0.05

Hence, the correct option is

c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.

This question is based on the concept of statistics. Hence, the correct option is  (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.

Given:

A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion p=0.05. For samples of size 100.

According to the question,

Mean of  sampling distribution of the sample proportion = p (Population proportion.)

It is given that, the population proportion of those who make donation when contacted by phone is known to be p=0.05.

Thus, Mean = p = 0.05

Hence, the correct option is  (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.

For more details, prefer this link:

https://brainly.com/question/10211620

What is the equation of the line that has a slope of 14
and goes through the point (8,−3)?

y=1/4x−5

y=1/4x+5

y=1/4x−11

y=1/4x+1

Answers

Answer:

y=1/4x+1

please mark as brainliest

Divide the following complex numbers:
(3+ i) / (2-3i)

O A. - 3 - 1
O B. 1 3 - 1
}
C
9 11
+
13 13
D.
3 11
5

Answers

Answer:

Standard complex form 3/13 + 11/13i

Step-by-step explanation:

not sure  if this helps

(x3 + 3x² + x + 6) + (x - 1)

Answers

Answer:

x^3 + 3x^2 + 2x + 5

Step-by-step explanation:

combine like-terms

△ KLM ∼ △ KCB . What is the value of x?

Answers

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

Since the two triangles are similar, write the following proportion:

[tex]\frac{24}{16}=\frac{15}{2x-6}[/tex]

Cross-multiply and solve:

[tex]24(2x-6)=16\cdot 15,\\48x-144=240,\\48x=384,\\\fbox{$x=8$}[/tex].

Given f(x) = -4x + 7 and g(x) = x3, choose
the expression for (fºg)(x).

Answers

Answer:

Solution,

Given,

f(x) = -4x + 7

g(x) = [tex]x^{3}[/tex]

Now,

fog(x) = f{g(x)} = f([tex]x^{3}[/tex]) = -4[tex]x^{3}[/tex]+7

A teacher is 5 feet 8 inches tall and she shrinks to 9 inches. How tall will her pencil be if it undergoes the same scale shrink and was originally 12 inches?
A) 1.59 inches
B) 1.86 inches
C) 2.68 inches
D) 6.8 inches

Answers

Answer:

c

Step-by-step explanation:

2.68

Amy purchased a brand–new mountain bike, which she's riding through the winding trails. The bike's displacement is given by
s(t) = t3 − 2t2 + 3. What is the bike's acceleration after three minutes?

Answers

Answer:

a = 14 m/min²

Step-by-step explanation:

The displacement of bike is given by :

[tex]s(t)=t^3-2t^2+3[/tex]

Velocity, [tex]v=\dfrac{ds(t)}{dt}[/tex]

Finding velocity of the bike.

[tex]v=\dfrac{d}{dt}(t^3-2t^2+3)\\\\=3t^2-4t[/tex]

Acceleration, [tex]a=\dfrac{dv(t)}{dt}[/tex]

[tex]a=\dfrac{d}{dt}(3t^2-4t)\\\\=6t-4[/tex]

At t = 3 minutes,

a = 6(3) - 4

= 18-4

= 14 m/min²

So, the bike's acceleration after 3 minutes is 14 m/min².

What is the value of the expression ?

Answers

[tex]16 - 3(8 - 3) {}^{2} \div 5[/tex]ANSWER

[tex]1[/tex]EXPLANATION

[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]

[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]

[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]

[tex]16 - 3 \times 5 {}^{1} [/tex]

[tex]16 - 3 \times 5[/tex]

[tex]16 - 15[/tex]

[tex]1[/tex]

HopeItHelps you

#CarryOnLearning

What’s a perfect cube
M

Answers

ice cube.........................

Solve for x.
ASAP, please help me

Answers

Answer:

8

Step-by-step explanation:

180=90+40+6x+2

180=132+6x

48=6x

x=8

Answer:

x=4 i think havent done this in a long time

Step-by-step explanation:

Help plz:)))I’ll mark u Brainliest

Answers

6/2 or 3/0 I dont know if this is right I'm really not sure but the sums look right except for the fact that you can simplify down to 3/0 overall I think its ok

Step-by-step explanation:

39+24+33 = 96

11+13+8 = 32

96/32 simplified down = 6/2 = 3/0

Angles in a triangle

Answers

Answer

1=62

2=45

3=24

Angle 1

1 plus 118 equals 180 degrees (because both of the angles combined creates a straight angle).

1+118=180

180-118=1

1=62

Angle 2

The angles in a triangle add up to 180 degrees.

You know that angle 1 is 62 degrees.

And the other angle is 73 degrees.

You can now find angle 2.

62+73+2=180

2=180-62-73

2=45

Angle 3

Angle three is in a different triangle.

You already know that the angles in a triangle added up are 180 degrees.

The other missing angle in the triangle can be found by subtracting 73 from 180.

180-73=107

Now you know that two of the angles in the triangle are 107 and 49.

You can now find angle 3.

107+49+3=180

3=180-107-49

3=24

you should give the person above a brainliest!! :)

NEEED HELP QUICK PLS PLS pls pls pls .

Answers

Answer:

step 4 is correct because h-¹(x)=2x+5

can u pls help me with this question asap ​

Answers

Answer:

$14670

Step-by-step explanation:

Selling price of the house = $326000

Commission rate of the agency = 4.5%

Commission amount earned by the agency = 326000 × 0.045

                                                                        = $14670

Commission rate of the agent = 20% of commission earned by the agency

= [tex]\frac{20}{100}\times 14670[/tex]

= $2934

Therefore, agency made $14670 on the house.

28) Solve the inequality: 12x−10>170
A. x>15
B. x<−90
C. x<−58
D. x<15

Answers

Answer:

p=5x+3y

solve for x, number of cupcakes. isolate x

5x=p-3y

divide by 5

x=(p-3y)/5

Step-by-step explanation:

D. x<15

I will give brainiest to whoever answers correctly !!

Answers

Answer:

April 25 150 days

Step-by-step explanation:

Help do this if possible kk rlly stuck
X^2 – 11x + 18 = 0

Answers

Answer:

x = - 9, x = 2

Step-by-step explanation:

[tex] {x}^{2} - 11x + 18 = 0 \\ \\ {x}^{2} - 9x - 2x + 18 = 0 \\ \\ x(x +9 ) - 2(x + 9) = 0 \\ \\ (x + 9)(x - 2) = 0 \\ \\ x + 9 = 0 \: \: or \: \: x - 2 = 0 \\ \\ x = - 9 \: \: or \: \: x = 2 \\ [/tex]

Dont have to graph it, just tell me the answers, I kinda need this now :v

Answers

Answer:

3/4(n)+1

3/4(8)+1=

6+1=7

3/4(12)+1=

9+1=10

3/4(14)+1=

10.5+1=11.5

3/4(20)+1=

15+1=16

I hope this helps:

write the standard number 723,600 in scientifict notation

Answers

Answer:

723,600 = 7.236 × [tex]10^{5}[/tex]

Step-by-step explanation:

Scientific notation is a way to express numbers in a form that makes numbers that are too small or too large more convenient to write. It is commonly used in mathematics, engineering, and science, as it can help simplify arithmetic operations.

A cash register contains $10 bills and $50 bills with a total value of $1080. If there are 28 bills total, then how many of each does the register contain?

Answers

Answer:

20 $50 bills

8 $10 bills

Step-by-step explanation:

Find how many $10 and $50 bills are in the cash register.

Make a systems of equations:

t = Amount of $10 bills

f = Amount of $50 bills

10t + 50f = 1080

t + f = 28

Lets solve for $50 bills first:

10t + 50f = 1080

-10(t + f = 28) = -10t - 10f = -280

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

Solve for f:

10t + 50f = 1080

-10t - 10f = -280

40f = 800

Divide both sides by 40.

f = 20

There are 20 $50 bills.

Now we need to find how many $10 bills are in the register.

Plug in 20 to "f" in one of the equations and solve for "t".

Solve:

t + 20 = 28

Subtract 20 from both sides.

t = 8

There are 8 $10 bills.

Your answer should be:

20 $50 bills

8 $10 bills

A bowl holds the 10 pieces of fruit shown below.

If Jasmine writes the fraction of fruit that are apples and does not reduce the fraction, which of the following would be the numerator of the fraction?

Answers

Answer: 10

Step-by-step explanation: 10 is the total number of all the fruits so that is what you are dividing by

Answer:

Step-by-step explanation:

36 over 9 = g over 1​

Answers

Answer:

4/1

Step-by-step explanation:

g is 4

Which of the following represents y as a function of x?

Answers

Answer:

The table only represent s y as function of x

I will give brainiest to whoever answers correctly !!

Answers

Answer:

She will have to pay back the principal amount of $28,000 plus $728.00 in interest for a total of $28,728.00

Step-by-step explanation:

Interest = principal x interest rate x time period

Interest = 28,000 x .013 x 2

Interest = $728

Total payback amount = principal + interest

Total payback amount = 28000 + 728

Total payback amount = $28,728.00

I hope this helps!

-TheBusinessMan

Write as a polynomial: 2a^2(a-1)(3-a)

Answers

Step-by-step explanation:

HI tkando45

To write as a polynomial, just multiply every term int he first parenth by every term in the second parentheses.

 

It is like distributing:

 

For Example

a2(a-4) - 2a(a-4) + 3(a-4)

 

a3 - 4a2 - 2a2 + 8a + 3a - 12

 

Now combine like terms:  

 

a3 - 6a2 + 11a -12   <----  that is your polynomial

now use the above examples and calculate ur question

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