what is the value of x in the nearest whole number​

What Is The Value Of X In The Nearest Whole Number

Answers

Answer 1

Answer:

16

Step-by-step explanation:

To calculate x we must use the trig function of tangent:

as tangent is opposite divides by adjacent we can get this equation:

[tex]\tan 30 = \frac{9}{x}[/tex] which is equal to:

[tex]x=\frac{9}{\tan 30}[/tex] So x must equal to 15.588.. (just put the second bit in the calculator

As all the values provided are integers you round this to the nearest whole number:

16 (as the third digit, 5, rounds up)

so our answer is 16


Related Questions

The Paulsens ordered $75.41 worth of Chinese food. They paid 11.5% sales tax and left a
15% tip on $75.41. What was the total cost?

Answers

Answer:

$95.39

Step-by-step explanation:

First, find sales tax

75.41×(11.5/100)=8.67

Then, tip

75.41×(15/100)=11.31

Therefore,

75.41+8.67+11.31

is the total cost

Answer:

95.39

Step-by-step explanation:

An aerospace engineer is designing a model of a portion of a new telescope, a cylinder with a cone cut-out as shown below. What is the total volume of the materials used to make the new telescope piece?

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the required figure is not attached to the question.

From the question, we can deduce that the telescope is a composite figure made from a cone and a cylinder.

To get the volume of the materials used, you have to calculate the volume of the cone and that of the cylinder.

The sum of these volumes, is your answer.

Assume the following dimensions:

Cone

[tex]r = 5\\[/tex] --- radius

[tex]h = 7[/tex] --- height

Cylinder

[tex]r = 5\\[/tex] --- radius

[tex]h = 20[/tex] --- height

The volume of the cone is:

[tex]Volume = \frac{1}{3} \pi r^2h[/tex]

[tex]V_1= \frac{1}{3} \pi *5^2*7[/tex]

[tex]V_1= \frac{1}{3} \pi *25*7[/tex]

[tex]V_1= \frac{175}{3} \pi[/tex]

The volume of the cylinder is:

[tex]Volume = \pi r^2h[/tex]

[tex]V_2 = \pi * 5^2 * 20[/tex]

[tex]V_2 = \pi * 25* 20[/tex]

[tex]V_2 = 500\pi[/tex]

The total is:

[tex]Volume = V_1 + V_2[/tex]

[tex]Volume = \frac{175\pi}{3} + 500\pi[/tex]

Take LCM

[tex]Volume = \frac{175\pi+1500\pi}{3}[/tex]

[tex]Volume = \frac{1675\pi}{3}[/tex]

Remember, adjectives in Spanish agree with the gender of the noun they describe.
Por ejemplo: el chico ordenado / la chica artística

Answers

Answer:

1) A serious girl - Una chica seria/Una joven seria

2) The talented boy - El chico talentoso/El joven talentoso

3) An outgoing girl - Una chica extrovertida/Una joven extrovertida

4) The tasty ice cream - El helado delicioso/El helado sabroso

5) A funny book - Un libro divertido/Un libro entretenido

Step-by-step explanation:

Now, we present a possible set of solution, as there are solutions as many synonyms exist in Spanish. Then:

1) A serious girl - Una chica seria/Una joven seria

2) The talented boy - El chico talentoso/El joven talentoso

3) An outgoing girl - Una chica extrovertida/Una joven extrovertida

4) The tasty ice cream - El helado delicioso/El helado sabroso

5) A funny book - Un libro divertido/Un libro entretenido

All 210 students in a school went roller skating, to a water park, or both. The number of students who went only to the water park is four times the number of students who went only roller skating. The number of students who went only to the water park is two times the number of students who did both. How many students did both?

Answers

60 students out of 210 in a school went both roller skating and water park.

What is algebraic equation ?

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

Have given ,

Total students = 210

Let x = The number of students who went only to the roller skating

and y = The number of students who went to the water park and roller skating

x + 4x + y = 210  ⇒ 5x + y = 210 ......(i)

x + y + 2y = 210 ⇒ x + 3y = 210 ⇒ x = 210 - 3y

Put the value of x in equation no. (i),

5(210 - 3y) + y = 210 ⇒ 1050 - 14y = 210 ⇒ 14y = 1050 - 210

14y = 840 ⇒ y = 60

Hence , 60 students out of 210 in a school went both roller skating and water park.

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if two lines in a plane intersect then they are not parallel true or false

Answers

Answer:

true because parallel means lines that doesnt meet

Answer:true, parallel line never intersect, I hope this helps!!

Cute cat btw<3

36-x=-36 what's the answer to It​

Answers

Answer:

x = 72

Step-by-step explanation:

36 - x = -36

*subtract 36 from both sides*

-x = -72

*divide by -1*

x = 72

Answer:

0 is the answer of the equation

9. Which equation is represented by the table?
X
0
1
2.
3
у
40
20
10
5
a. 40(2)^x
b. 40(1/2)^x

Answers

the answer for that question is B

Question 2 of 5
Simplify.
(m3)6 +m18
A. m4
B. 1
C. m
D. m-9
SUBMIT

Answers

Using the first index law, the solution provided indicates that this has a value of 1.

What is the first index law?

X to the power of A multiplied by X to a power of B results in X to the power of A + B, according to the first law of indices. Keep in mind that adding the indices when multiplying terms with them means that the base must remain constant throughout.

What exactly is index theory?

A topological invariant of a certain class of differential operations on a manifold is studied in index theory, as well as the invariant's local formula in terms of the manifold's geometry. inspirational cases. operator elliptic The index theorem by Atiyah-Singer.

According to the given information:

(m³)⁶/m¹⁸ = m³ˣ⁸/m¹⁸

= m¹⁸/m¹⁸

= 1

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Ans the question...... very urgent ​

Answers

Answer:

The solution should be log7^3(49)-1/3log7(49)=1/3*2

B-2/3

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

x = 71/5  (as an improper fraction)

x = 14 1/5 (as a proper fraction

x = 14.2 (as a decimal)

Step-by-step explanation:

It's a rectangle so the diagonals are equal

7x - 9 = 2x + 62

Subtract 2x from both sides

5x - 9 = 62

Add 9 to both sides

5x = 71

Divide both sides by 5

x = 71/5  (as an improper fraction)

x = 14 1/5 (as a proper fraction

x = 14.2 (as a decimal)

Answer:

x= 14.2

Step-by-step explanation:

BD and and AC are equal so

7x-9 = 2x+62

isolate the variable means x = 14.2

first time I had to take out pencil and paper so I hope it's right

How many square feet of outdoor carpet will
we need for this hole?

Answers

Answer:

8

Step-by-step explanation:

What is the product of 2x 3y )( 2x 3y )? *?

Answers

The product of (2x-3y)(2x+3y) is 4x^2-9y^2

Product= (2x-3y)(2x+3y)

Let the product of (2x-3y)(2x+3y) be P

P=2x(2x+3y)-3y(2x+3y)

P= 2x(2x)+2x(3y)-3y(2x)-3y(3y) {using distributive property of multiplication}

This property states that  multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. The multiplication of (a-b)(a+b) is equal to a^2 - b^2. This result is used as an identity.

P= 4x^2 +6xy - 6xy -9y^2

solving 6xy-6xy=0

P= 4x^2 - 9y^2

4x^2-9y^2 is the product of (2x-3y)(2x+3y).

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can someone pls help

Answers

Hopes this helps:

Answer: 9

Have a great day.

The point A (1,1) and the point B(5,-1) lie on the line L. Find the equation of the line L

Answers

Answer is y = -1/2x + 1-1/2 for equation of line L

Step by step

Find slope using y2 - y1 over x2 - x1

-1 - 1 over 5 - 1 = -2/4 or simplified to -1/2

Now using point slope form, plug in one set of points (1, 1) and (m) slope of -1/2
y - y1 = m (x -x1)

y - 1 = -1/2 (x - 1)
Distribute multiply

y - 1 = -1/2x + 1/2
Add 1 to each side to isolate y

y -1 +1 = -1/2x + 1/2 + 1
Simplify

y = -1/2x + 1-1/2

That’s your equation of line L

You could also graph the two points and draw your line. Your slope is -1/2 (rise is -1 down, run is +2 right) and your y intercept is 1-1/2 where the line crosses the y axis.

When working modulo m, the notation a^-1 is used to denote the residue b for whichab = 1 (mod m), if any exists. For how many integers a satisfying 0 < a < 100 is it true thata(a − 1)−¹ = 4a-¹ (mod 20)?Please hurry up guys!!

Answers

There are 10 integers that satisfy 0 < a < 100.

What are integers?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

Here, we have

Given: When working modulo m, the notation a⁻¹ is used to denote the residue b for which ab = 1 (mod m), if any exists.

We have to find integers that satisfy 0 < a < 100.

a(a − 1)⁻¹ ≡  4a⁻¹ (mod 20)

a ≡ 4a⁻¹(a − 1)(mod 20)

a² ≡ 4(a-1)(mod 20)

a² - 4a + 4 ≡ 0(mod 20)

(a - 2)² ≡ 0(mod 20)

a = 2 + 10n | for n = (0, 1, 2, 3.....9)

Hence, there are 10 integers that satisfy 0 < a < 100.

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how to solve -6/ 2/3 (use inverse operations to solve it) please explain!

Answers

+6x2x-3x
+6-6
-6*2+3
=12

The following dotplot shows the centuries during which the 111111 castles whose ruins remain in Somerset, England were constructed. Each dot represents a different castle. According to the 1.5.IQR rule for outliers, how many high outliers are there in the data set?

Answers

The conclusion which we get after analyzing the data given is that there aren't outliers in the displayed data set.

We will calculate the interquartile range and us the rule 1.5 .

The formula to calculate  interquartile range is to subtract the value of first quartile by the value of second quartile.

IQR = Q3 - Q1

Therefore, interquartile range becomes,

IQR = 17 - 13

IQR = 4

Now , we will apply rule 1.5 and for that we will multiply 4 by 1.5 first

4 * 1.5 = 6

and then,

17 + 6 = 23

on applying the rue we will get ,

13 - 6 = 7 .

This value means that there is no outlier in the displayed data set.

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look at the screenshot.....

Answers

Answer:

the total surface area is 360 cm

Step-by-step explanation:

360 cm :))) hope this helped

test form 1a answers 6th grade three times Geoff's age plus 3 is myrkas age. myrka is 48. what is Geoff's age

Answers

Geoff is therefore 15 years old.Rearranging terms in an equation to get the solution is known as "solving by rearranging.

What does a math reshuffle mean?Rearranging terms in an equation to get the solution is known as "solving by rearranging." Keep these guidelines in mind when solving by rearranging: To shift terms from one side to the other, do the reverse operation.Rearranging terms in an equation to get the solution is known as "solving by rearranging." Keep these guidelines in mind when solving by rearranging: To shift terms from one side to the other, do the reverse operation.Geoff is therefore 15 years old.Rearranging terms in an equation to get the solution is known as "solving by rearranging.

Age of Myrka = 3x + Age of Geoff

3x + 3 = 48

3x = 48 - 3

3x = 45 x = 15

Geoff is therefore 15 years old.

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please help due next hour this is one of my answer I'm struggling with Show WORK please. No links
x/2 = -1
please help I need it

Answers

x/2 = -1

=> x = -1 × 2

=> x = -2

X/2=-1
you would multiply 2 bc a fraction means divide
X/2=-1
*2. *2
X=-2
your answer is X=-2


Lois is saving $11.00 out of her $32.00 allowance each week for a
scooter. She must divide the rest between her savings account, a
charity of her choice, and her college fund. Lois gives $10.00 per week
to a local charity. She puts the same amount in her saings account as
her college fund. How much does Lois put in her college fund each
week?

Answers

Answer:

the answer is $5.50

Step-by-step explanation:

32 total

10+11=21

32-21=11

so 11 left for college and saving account

now divide it with 2 so both gets same amount

11/2=5.50

What is the measure of ZB?

Answers

Answer:

m<B=60°

Step-by-step explanation:

an exterior angles equals the sum of its two remote interior angles, so:

m<A+m<B=m<BCG:

3x+4x=10x-45

7x=10x-45

-3x=-45

x=15

to find the measure of <B:

since m<B=4x:

4(15)=60°

so, m<B=60°

Answer:

Step-by-step explanation:

1/4 - 7/1 (pls i nee answer)

Answers

Answer:3/4 is the answer

Step-by-step explanation:

Answer:(s)

1/4  -  7/1  =  - 27/4  

Decimal:   - 6.75

Mixed number:  - 6 3/4

Step-by-step explanation:

1/4  -  7/1  =  - 27/4  or - 6.75 or  - 6 3/4

LCM:   4, 1  = 4

Adjust Fraction Based On LCM:

1/4 - 28/4

Apply The Fraction Rule:

a/c - b/c  =  a - b/c

1 - 28/4

Subtract the numbers:

1  -  28   =  - 27

             =  -27/4

Apply Fraction Rule:

- a/b  =  - a/b

Thus:

1/4 - 7/1  =  - 27/4  

Decimal:   - 6.75

Mixed Number Form  - 6 3/4

I hope that helps you!!!

What is the solution to 3(1-3x)=2(-4x+7)?

Answers

Answer:

x = -11

Step-by-step explanation:

3(1 - 3x) = 2(-4x + 7)

Distribute the 3.

(3 - 9x) = 2(-4x + 7)

Distribute the 2.

3 - 9x = -8x + 14

Add 8x to both sides.

3 - x = 14

Subtract 3 from both sides.

-x = 11

Multiply by -1.

x = -11.

Proof:

3(1 - 3x) = 2(-4x + 7)

3(1 - 3(-11)) = 2(-4(-11) + 7)

3(1 + 33) = 2(44 + 7)

3(34) = 2(51)

102 = 102

A small town surveyed 250 adults, 180 of whom were parents, about whether a park should be expanded. The results showed that 150 of the adults who were parents and 40 of the adults who err not parent’s thought the park should be expanded.

Answers

Answer: In this exercise we have to calculate the values ​​of the people who voted to expand the parking lot, so we have to:

Yes: parents will be 150 and not parents 40

No; parents will be 40 and not parents 30

As it is about sets, we have to use the data that were:

   total: 250 adults

   180 of whom were parents a park should be expanded.

   40 of the adults who were not parents thought the park should be expanded.

then calculate that:

Step-by-step explanation:

The surveyed parents favor park extension, and two way table is a way or representation of data. and The two-way table is completed as,

                        yes      no

parents              150  |    30

                                 |

not parents        40   |      30

The two-way table shown in the table is attached below.

What is two way table?

Two-way table is a way of representing of data to better understand it.

Given information-

The total number of adults took the survey is 250.

Total number of parents took the survey is 180.

150 of the adults with children and 40 of those without thought the park should be expanded.

Suppose the number of adults who are not the parents and took the survey is .

As the total number of adults took the survey is 250 in which the number of parents took the survey is 180. Thus the number of adults who are not the parents and took the survey is,

Suppose the parents who does not thing that the park should be expanded is .

There is total 180 parents. As 150 of the adults with children thought the park should be expanded. Thus, the parents who does not thing that the park should be expanded is,

Form the 70 adults who are not parents things that park should be expanded is 40, hence the adults who are not parents does not thing the park should be expanded is (70-40) which is 30.

Hence the two way table is completed as,

                        yes      no

parents              150  |    30

                                 |

not parents        40   |      30

the two way

YES                    NO

                          30  

                          30

(parents 150

not parents_40

Find the area of this parallelogram. Be sure to include the correct unit in your answer.

Answers

Answer:

The area of this parallelogram is 140 square feet.

Step-by-step explanation:

A = bh

A = 14 * 10

A = 140

Hope this helps; have a wonderful day!

The surface area of this regular pyramid is 1040 cm2. The base is a regular pentagon with side b = 16 cm and slant height l =15 cm. Find its apothem (a).
show work please. i will give brainliest ! :)

Answers

Answer:

(a) = 11 cm

Step-by-step explanation:

The formula for finding the surface area of a regular pyramid is B + (1/2*P*l), with B being the area of the base, p being the perimeter of the base, and l being the slant of the pyramid.

The area of a pentagon can be solved using the formula 1/2*a*p, with a being the apothem and p being the perimeter of the pentagon.

B + (1/2*80*15) = 1040B + 600 = 10401040 - 600 = 440 (440 is the area of pentagon)1/2*a*(16*5) = 44040*a = 440440/40 = 11

The apothem is 11 cm. Hope this helps!

im not sure how to answer thank you

Answers

The value of x in the triangle WXY is 27°

What is an equation?

An equation shows how two or more numbers and variables are related to each other.

∠VWY + ∠XWY = 180° (sum of angle in straight line)

6x + ∠XWY = 180°

∠XWY = 180 - 6x

∠XYW + ∠ZYW = 180° (sum of angle in straight line)

∠XYW + 4x = 180°

∠XYW = 180 - 4x

∠XWY + ∠XYW + ∠YXW = 180° (angle in a triangle)

(180 - 6x) + (180 - 4x) + 90 = 180

450 - 10x = 180

10x = 270

x = 27°

The value of x is 27°

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Is 8 15 17 a right triangle?

Answers

No, the sides of a right triangle do not include 8, 15, and 17. The sides of a right triangle must follow the Pythagorean theorem, so the sum of the squares of the two shorter sides must equal the square of the longest side. 8² + 15² does not equal 1

8² + 15² = 64 + 225 = 289

17² = 289

Therefore, 8, 15, and 17 are not the sides of a right triangle.

The Pythagorean theorem is an important mathematical concept used to determine if three numbers form the sides of a right triangle. This theorem states that the sum of the squares of the two shorter sides must equal the square of the longest side. In the case of 8, 15, and 17, 8² + 15² does not equal 17², so it is not a right triangle. To test this, we can calculate 8² + 15² = 289, and then 17² = 289. Since the two values are not equal, we can conclude that 8, 15, and 17 are not the sides of a right triangle.

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The value of πPhone stock has increased 9% each year for the past several years. In 2020, the stock was worth $75. What will the stock be worth in 7 years? What was the stock worth in 2016?

Answers

Answer:

2027 = $122.25

2016 = $48

Step-by-step explanation:

Find 1% of 75

75 / 100 = 0.75

multiply by 9

0.75 * 9 = 6.75

So that's $6.75 each year

Now, lets find our answers for 7 years.

6.75 * 7 = $47.25

75 + 47.25 = $122.25

The stock will be $122.25 in 2027

Now for 2016.

$6.75 * 4 = $27

$75 - $27 = $48

The stock was $48 in 2016

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