Find the value of x. Round your answer to the nearest tenth.

Find The Value Of X. Round Your Answer To The Nearest Tenth.

Answers

Answer 1

Answer:

x = 9.7

Step-by-step explanation:

Reference angle (θ) = 68°

Opposite = 24

Adjacent = x

Apply, the trigonometric function, TOA which is:

[tex] tan (/theta) = \frac{Opp}{Adj} [/tex]

Plug in the values

[tex] tan 68 = \frac{24}{x} [/tex]

Multiply both sides by x

[tex] x*tan 68 = 24 [/tex]

Divide both sides by tan 68

[tex] x = \frac{24}{tan 68} [/tex]

x = 9.69662942

x = 9.7 (nearest tenth)


Related Questions

How many 3/4 cup servings are in 12 cups of cherries?

Answers

Answer:

Exactly 16

Step-by-step explanation:

3/4 is .75

12/.75 would be 16

anybody know the answer to this question? I’m kinda lost

Answers

Answer:

A. For every 1 inch of mercury the pressure increases, the boiling point is expected to increase by 1.9°F

Step-by-step explanation:

A regression model is in the form :

y = mx + c

With m being the slope = rate of change

In regression, the value of the slope gives the rate of change in y value per unit increase in the value of x

The slope in the question above is 1.9, this means for every unit increase in mercury pressure, then boiling point, y increases by 1.9°F

which sentence is true iready math

Answers

Could you please use a picture?
I think you forgot to upload a pic?

Precision is a measure of how close an answer is to the actual or expected
value.
True or false ?

Answers

i’m pretty sure it’s true

Answer:

False

Step-by-step explanation:

Precision  describes repeatability.  

Accuracy  describes the closeness of a measurement to the actual value.

 So your measurements may be precise but not accurate; for example if you used a faulty measurement system. And of course, you could get accurate results SOME of the time (which describes the exprerience of most researchers).

Errors in precision are usually detected.........eventually, invariably after you have shot your mouth off to your professor.

In a survey conducted at a pet store, 150 customers were asked if they owned
birds or fish. The survey data are shown in the relative frequency table.
What percentage of the people surveyed own fish?
A. 10%
B. 6%
C. 4%
D. 0.1%

Answers

Answer: the answer should be 10%

Step-by-step explanation:

Answer:

10% is correct!

pls i need help i’ll give brainliest!

Answers

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

The rule here is that the product of the lengths from the external point of intersection (angle vertex) to the intersections with the circle is the same for both secants. The tangent counts as intersecting the circle twice. So, we have ...

  (6)(6) = (3)(x)

  x = 36/3 = 12 . . . . . divide by the coefficient of x

Help me PLEASEEEEEEEEEEEEE

Answers

So basically I think it’s a and d

Answer:

B, C, D.

Step-by-step explanation:

These are all statistical questions since these can be answered by collecting data that vary.

Cameron earned a grade of 73% on his multiple choice math final that had a total of 200 problems. How many problems on the final exam did Cameron get wrong?

Answers

Answer:

54

Step-by-step explanation:

Calculation to determine How many problems on the final exam did Cameron get wrong

Wrong Numbers of problems=Total number of problems-(Percentage of grade earned*Total Number of problems)

Let plug in the formula

Wrong Numbers of problems=200-(73%*200)

Wrong Numbers of problems=200-146

Wrong Numbers of problems=54 problems

Therefore the problems on the final exam that Cameron get wrong is 54

Answer:

54

Step-by-step explanation:

ok

Pleaseee help me!!!!- no links please.

Answers

Suppose Easton entered in * x * shows , So we have :

60/100 × x = 15

x = 1500/60

x = 150/6

x = 25

Thus he entered 25 shows last year.

The function f gives the weekly profit, in thousand dollars, that an airline makes on its flights from Boston to Washington D.C. when the ticket price is p dollars. Interpret the following.
f'(70) = 1.5
When the ticket price is _____, the weekly profit to the airline on flights from Boston to Washington is _____

Answers

Answer:

When the ticket price is $70, the weekly profit to the airline on flights from Boston to Washington is $1500.

Step-by-step explanation:

The function has the following format:

f(p)

That is, f is a function of p.

The derivative, f'(p), is the variation of f for the given value of p.

f'(70) = 1.5

p = 70, thus, ticket price of $70.

f'(70) = 1.5 means that the weekly profit to the airline on flights from Boston to Washington is 1.5 thousand dollars, that is, $1500.

Thus the correct answer is:

When the ticket price is $70, the weekly profit to the airline on flights from Boston to Washington is $1500.

Find the sum of the geometric series if n = 6, r= 1/4, a = 2.

Answers

Sn = a(1-r^n)/(1-r)

Sn= 8(1-1/4096)/3= 2.67

What do u multiply first?

Answers

Answer:

Order of operations tells you to perform multiplication and division first, working from left to right, before doing addition and subtraction. Continue to perform multiplication and division from left to right. Next, add and subtract from left to right.

pls Mark me as brainliest trust me..

A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical stores. Using this estimate, what is the probability that a randomly selected online customer does not live within 50 miles of a physical store? .78 .50 .28 .22

Answers

Answer:

[tex]p' = 0.22[/tex]

Step-by-step explanation:

Given

[tex]p = \frac{78}{100}[/tex]

Required

Probability that a [tex]customer[/tex] does [tex]not[/tex] live [tex]within[/tex] [tex]50[/tex] miles

To do this, we make use of complement rule;

Which states that:

[tex]p + p' = 1[/tex]

Make p' the subject

[tex]p' = 1 - p[/tex]

So, we have:

[tex]p' = 1 - \frac{78}{100}[/tex]

Express fraction as decimal

[tex]p' = 1 - 0.78[/tex]

[tex]p' = 0.22[/tex]

30
7
0.7
dbksb
FS MATHS L2
Practise the Skill
1)
There are 14 women and 7 men in a café.
What is the probability that a person picked at random will be a woman?
Give your answer as a fraction in its lowest terms.
2)
Sally has a pack of playing cards and she chooses a card at random.
a) What is the probability that she picks an ace?
Give your answer as a fraction in its lowest terms.​

Answers

Answer:

1) 2/1

2) 13/1

Step-by-step explanation:

please help I don't know how to do​

Answers

Answer:

9y+7=2y+98

5y=91

y=91\5

What is the length of NP?

Answers

Answer:

[tex]c=\sqrt{174}[/tex]

Step-by-step explanation:

First, find the length of MP. This can be done with the Pythagorean Theorem.

We can use x as angle MP.

a² + b² = c²

10²+ 7² = x²

100 + 49 = x²

x² = 149

Take the square root to get

x = √(149)

Now do the Pythagorean Theorem for Triangle MNP. We can again use x for angle NP.

a² + b² = c²

5² + √(149)² = c²

25 + 149 = c²

c² = 174

c = √(174)

A survey that asked people in the United States about their
feelings of personal well-being found that 85% are generally
happy. To test this finding, you survey 26 people at random and
finding that 19 consider themselves generally happy. Would
you reject the survey's findings?​

Answers

Answer:

Yes I would

Step-by-step explanation:

You would not have enough test subjects to have an accurate survey.

1 out of 5 pairs of Henry's shoes no longer fit him. what fraction of his shoe collection still fit ?​

Answers

the answer is 4/5.

hope this helps!!

Answer:

4/5

Step-by-step explanation:

here ya are. I hope this helps, it's just 1 pair out of the 5 that don't fit. Meaning the 4 out of 5 fit. therefore 4/5

What is the vertex of the given quadratic function?
g(x)=3(x – 4)² + 7

Answers

Answer:    (4, 7)

============================================================

Explanation:

Compare the given equation to the vertex form y = a(x-h)^2 + k

You'll see that a = 3, h = 4 and k = 7

The vertex is (h,k) = (4,7)

The value of 'a' determines if the parabola opens upward or downward. Since a > 0, it opens upward. This furthermore leads to the vertex being the lowest point on the parabola.

The value of 'a' also determines how vertically stretched or compressed the parabola is.

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex  form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

The transformation of y=f(x) to y=f(2x) is a:

Answers

Answer:

c) vertical stretch by a factor of 2

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

Horizontal stretch by a factor of 1/2.

We can also describe this as a horizontal compression by a factor 2

Simplify (3√5 − 5√2 ) (4√5 + 3√2 )​

Answers

Answer:

=30−11√1

hope it helped!

What is the value of x in the equation 7(x − 2) = 5(x + 4)?

Answers

Answer: x= 17 I hope that helps you understand it Goodbye!

Step-by-step explanation:  

7(x-2)=5(x+4) So the first step is to Distribute meaning Multiply so 7(x-2 ) that would give you -14 that where I got that from and I just did 5(x+4)= 20 and bring the x down

1. 7x-14=5x+20 So, I just do the opposite of subtracting which is adding so, I'm going to add 14 to both sides

2. 7x=5x+20+14 = 5x+34

3. 7x= 5x+34 So, I'm going to do the opposite of adding now which is subtracting meaning I'm just going to subtract 5x from both sides

4. 7x-5x=34 So then I do 7x-5x=2x

5. 2x= 34 so. I just Divide 2 from both sides x=34/2= 17

So, your answer would be x=17 and yes you got to put the variable for your answer to be right you can't just put 17 it got to be x= 17 and variable is just letters in the equation don't let it confused you but that would be your answer x=17 And can you make me Brainliest Please  

can you help me with this one

Answers

Answer:

q = 3m

Step-by-step explanation:

We know that segment HF is half of IJ, therefore we can say;

IJ / 2 = HF or q

6 / 2 = HF or q

3 = HF or q

Hope this helps!

45 = (y + 7) + 11 please help

Answers

Answer:

9/4

Step-by-step explanation:

45/(y+7)+11

y=2

45/(2+7)+11

45/9+11

45/20

9/4

If this helps please mark as brainliest

Answer:

16

Step-by-step explanation:

45 ÷ (y + 7) + 11

45 ÷ (2 + 7) + 11

45 ÷ (9) + 11

5 + 11

16

What is the value of the following expression when
y = 4?
y³ + 6​

Answers

Answer:

70

Step-by-step explanation:

y^3 +6

Let y=4

4^3 +6

64+6

70

Assume that we want to estimate the mean IQ score for the population of statistics students. How many statistics students must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 3 IQ points of the population mean? The Standard Deviation is 15.

Answers

Answer:

97 students must be randomly selected for IQ tests.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The Standard Deviation is 15.

This means that [tex]\sigma = 15[/tex]

How many statistics students must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 3 IQ points of the population mean?

This is n for which M = 3. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]3 = 1.96\frac{15}{\sqrt{n}}[/tex]

[tex]3\sqrt{n} = 1.96*15[/tex]

Simplifying both sides by 3

[tex]\sqrt{n} = 1.96*5[/tex]

[tex](\sqrt{n})^2 = (1.96*5)^2[/tex]

[tex]n = 96.04[/tex]

Rounding up(as with a sample size of 96 the margin of error will be slightly above 3):

97 students must be randomly selected for IQ tests.

4. Tyquan had his car towed by Lakeview's Towing Service. It cost him $3.00 per mile to have it towed
plus a flat fee of $70.00. The function for his cost is represented by the function C(m) = 3m + 70. What
does C(22) represent in this situation?
a. Tyquan had hisbear towed for 136 mile and it cost $22.00
b. Tyquan had his car towed for 22 miles and it cost him $136.00
c. Tyquan had his car towed for 3 miles at $70.00
d. Tyquan had his car towed 22 miles for $70.00

Answers

Answer:

B is the answer trust me I already took the math.

Step-by-step explanation:

Plz help me well mark brainliest if correct....??????????????...

Answers

Answer:

D). 100

Step-by-step explanation:

The range is the highest number-lowest number in data. 150 is the highest, 50 is the lowest. Therefore, 150-50=100

The perimeter of the
rectangle is 14 m and
the area is 12 m2.
Calculate the length
of the rectangle
diagonal​

Answers

Answer:

5

Step-by-step explanation:

area of rectangle = l(ength)×w(idth)

perimeter = 2×l + 2×w

diagonal = sqrt(l² + w²) (Pythagoras)

l×w = 12. => l = 12/w

2×l + 2×w = 14

2×12/w + 2×w =14

12/w + w = 7

12 + w² = 7w

w² - 7w + 12 = 0

=> (after a little thinking and trying : what 2 numbers multiply to 12 and add to -7 ? -3 and -4

=> (w-3)×(w-4) = 0

so, we get 2 solutions for w : 3 and 4

that gives us 2 solutions for l : 4 and 3

so, one is 3 and the other 4. it does not matter which is which. length 4 and width 3 produce the same diagonal as length 3 and width 4.

diagonal = sqrt(l² + w²) = sqrt(16 +9) = sqrt(25) = 5

what is 2 5/12 - 1 8/12 = ?

Answers

0.75 or 3/4
hoped this helped ✅

Answer:

3/4.

Step-by-step explanation:

Convert both of the mixed numbers into improper fractions.

2 5/12 becomes 29/12, 1 8/12 becomes 20/12.

From there, subtract 20/12 from 29/12 and you get 9/12.

Simplify 9/12 to get 3/4.

Your answer is 3/4.

I hope this helped, have a nice day.

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