help huryyyyyyyyyyyyy

Help Huryyyyyyyyyyyyy

Answers

Answer 1

Answer: 4

Step-by-step explanation:

Because %s can be expressed as fractions over 100, because 90 is 70% of x, 70% is 70% of 100.  Thus, 90/x = 70/100.

Hope it helps <3

Answer 2

Answer:

4

Step-by-step explanation:

90 is 70% of x.

90 = 70% × x

90 = 70/100x

Divide both sides by x.

90/x = 70/100


Related Questions

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

upper box is 0

middle box is 3 and

the downer box is 6

Step-by-step explanation:

Have a nice day

Find the area of the shaded regions.

Answers

Answer:

[tex]A = A_c-A_t=4\pi -8=4.5664cm^2[/tex]

Step-by-step explanation:

The area of the shaded region can be calculated as the area of the semicircle less the area of the right triangle.

The area of the right triangle can be calculated as:

[tex]A_t=\frac{b*h}{2} =\frac{LM*MN}{2}[/tex]

Where LM and MN have the same length because the internal angles are L=45°, M=90°, and N=45°. So the area is:

[tex]A_t=\frac{4*4}{2}=8[/tex]

The diameter of the circle can be calculated using the Pythagorean theorem as:

[tex]D=\sqrt{(LM)^2+(MN)^2} =\sqrt{4^2+4^4}=4\sqrt{2}[/tex]

So, the radius is [tex]r=2\sqrt{2}[/tex]

Finally, the area of the semicircle is:

[tex]A_c=\frac{\pi*r^2 }{2}=\frac{\pi*(2\sqrt{2})^2 }{2}=4\pi[/tex]

So, the area of the shaded region is:

[tex]A = A_c-A_t=4\pi -8=4.5664cm^2[/tex]

plzz help brainliest thanks and 20 points Look at the cups shown below (images are not drawn to scale): A cone is shown with width 2 inches and height 3 inches, and a cylinder is shown with width 2 inches and height 7 inches. How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tenth. 18.8 cubic inches 21.9 cubic inches 25.1 cubic inches 32.6 cubic inches

Answers

Answer:

18.8 cubic inches

Step-by-step explanation:

1. Solve for the volume of Cup A. (volume of a cone = 1/3πr² · h)

1/3 · 3.14 · 1² · 3 = 3.14 in³

2. Solve for the volume of Cup B (volume of a cylinder = πr² · h)

3.14 · 1² · 7 = 21.98 in³

3. Subtract the volume of Cup A from Cup B

21.98 - 3.14 = 18.84

4. Round 18.84 to the nearest tenth

18.84 → 18.8 in.³

Answer:

18 .8

Step-by-step explanation:

got it right on test

Select the correct option.
In a game, bonus points are awarded based on the number of the level that is cleared. The bonus points are calculated by a function
that is 15 times the cube root of the level cleared and rounded to the closest integer value.
Which of the following options represents the bonus points scored as the levels advance?

Answers

Answer:

Graph A.

Step-by-step explanation:

Which of the following is the slope-intercept form of 6x + 2y = 28
a) y= 3x-4
b) y= 3x +4
c) y= -3x+4
d) y= -3x-4

Answers

The answer is Y=-3x+14
None of these answers are correct.

The answer is y= -3x+14

-s^2+2s=0 Separate the two values with a comma.

Answers

Answer:

s = 0     OR     s = 2

Step-by-step explanation:

=> [tex]-s^2+2s = 0[/tex]

=> [tex]-s(s-2)=0[/tex]

So, Either:

=> -s = 0   OR    s-2 = 0

=> s = 0     OR     s = 2

Answer:

s=0,2

Step-by-step explanation:

-s^2+2s=0

Factor out -s

-s ( s-2) =0

Using the zero product property

-s =0  s-2 =0

s=0   s=2

The sum of two positive integers is 37. When the smaller integer is subtracted from twice the larger, the result is 41. Find the two integers.

Answers

Answer:

26 and 11

Step-by-step explanation:

When your add them you get 37, and when you multiply 26 by two you get 52. 52-11 is 41.

n ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?

Answers

Answer:

48.28 cm

Step-by-step explanation:

Since the shape is a cube of side 20cm, then all the side of the cube will be 20cm since all the side of a cube are all equal.

The shortest path the ant can be take is to first travel along the diagonal of the square from point A to the other edge on the front face and then move to point B on its adjacent side on a straight line.

To get the total distance he will take, we will first calcuate the value of the diagonal distance of the square face using pythagoras theorem as shown.

hypotenuse² = opposite² + adjacent²

The opposite = adjacent = 20cm

The hypotenuse is the length of the diagonal that we need.

hyp² = 20²+20²

hyp² = 400+400

hyp² = 800

hyp = √800

hyp = 28.28 cm

The length of the diagonal is 28.28 cm.

Afterwards, the ant will move 20cm to point B from the stopping point.

Total distance will be 28.28 + 20 = 48.28 cm

What is the five-number summary for this data set?
12, 15, 17, 20, 22, 25, 27, 30, 33, 37
Assume the numbers in each answer choice are listed in this order: min, Q1,
median, Q3, max.

Answers

Answer: min = 12, Q1 =17,  median =23.5 , Q3 = 30, max = 37 .

Step-by-step explanation:

The five-number summary for this data set consists  of  min, Q1,

median, Q3, max.

Given data: 12, 15, 17, 20, 22, 25, 27, 30, 33, 37, which is already arranged in a order.

Minimum value = 12

Maximum value = 37

since , number of observations = 10 (even)

So , Median = Mean of middle most terms

Middle most terms = 22, 25

Median =[tex]\dfrac{22+25}{2}=23.5[/tex]

First quartile ([tex]Q_1[/tex])= Median of first half ( 12, 15, 17, 20, 22)

= middle most term

= 17

Third quartile ([tex]Q_3[/tex]) = Median of second half (25, 27, 30, 33, 37)

= middle most term

= 30

Hence, five-number summary for this data set :

min = 12, Q1 =17,  median =23.5 , Q3 = 30, max = 37 .

Which is true about the polynomial 9x²y – 6x - 5y^2

Answers

Answer:

D

Step-by-step explanation:

It is a trinomial with a degree of 3.

This is the correct answer on the exam.

Which value of x would make NO IKI
?
K
(x + 2) in
o 1
N
(x - 3) in
06
o 8
x-4) in 0
x in
o 10
Save and Exit
Next
Submit

Answers

Answer:

[tex]\boxed{x = 8}[/tex]

Step-by-step explanation:

For NO ║ KJ, The two triangles must be similar and their sides must be proportional.

So, the proportion of their sides is:

=> [tex]\frac{x-4}{x} = \frac{x-3}{x+2}[/tex]

Cross Multiplying

[tex]\sf x (x-3)= (x-4)(x+2)\\Multiplying\\x^2-3x = x^2+2x-4x-8\\x^2-3x = x^2-2x-8\\Subtracting\ x^2\ to \ both \ sides\\ -3x = -2x -8\\Adding \ 2x\ to\ both\ sides\\-3x+2x = -8\\-x = -8\\[/tex]

x = 8

So, For x = 8, NO will be parallel to KJ.

A company is evaluating which of two alternatives should be used to produce a product that will sell for $35 per unit. The following cost information describes the two alternatives.


Process A Process B
Fixed Cost $500,000 $750,000
Variable Cost per Unit $25 $23

Requirement:;
i) Calculate the breakeven volume for Process A. (show calculation to receive credit)

ii) Calculate the breakeven volume for Process B. (show calculation to receive credit)

III) Directions: Show calculation below and Circle the letter of the correct answer.
If total demand (volume) is 120,000 units, then the company should
select Process A with a profit of $940,000 to maximize profit
select Process B with a profit of $450,000 to maximize profit
select Process A with a profit of $700,000 to maximize profit
select Process B with a profit of $690,000 to maximize profit


Answers

Answer:

A.50,000 units

B.62,500 units

C.Process A with a profit of $700,000 to maximize profit

Step-by-step explanation:

A.Calculation for the breakeven volume for Process A

Using this formula

Breakeven volume for Process A= Fixed cost/(Sales per units-Variable cost per units)

Let plug in the formula

Breakeven volume for Process A=500,000/(35-25)

Breakeven volume for Process A=500,000/10

Breakeven volume for Process A=50,000 units

B.Calculation for the breakeven volume for Process B

Using this formula

Breakeven volume for Process B= Fixed cost/(Sales per units-Variable cost per units)

Let plug in the formula

Breakeven volume for Process B=750,000/(35-23)

Breakeven volume for Process B=750,000/12

Breakeven volume for Process B=62,500 units

C. Calculation for what the company should do if the total demand (volume) is 120,000 units

Using this formula

Profit=(Total demand*(Sales per units-Variable cost per units for Process A)- Process A fixed cost

Let plug in the formula

Profit =120,000*($35-$25)-$500,000

Profit=120,000*10-$500,000

Profit=1,200,000-$500,000

Profit= $700,000

Therefore If total demand (volume) is 120,000 units, then the company should select Process A with a profit of $700,000 to maximize profit.

An open box with no lid has a square base and four sides of equal height. The height is 4 inches
greater than the length and width (which are the same). What are the dimensions of the box if the
volume is 63 cubic inches and the surface area is 93 square inches?
PLEASE SHOW YOUR WORK:) THANK YOU SO MUCH

Answers

Answer:

width = length = 3 inches

height = 7 inches

Step-by-step explanation:

If x is the width and length of the base, and y is the height, then:

y = x + 4

The volume of the box is:

63 = x²y

The surface area of the box is:

93 = x² + 4xy

Substitute the first equation into the third.

93 = x² + 4x (x + 4)

93 = x² + 4x² + 16x

0 = 5x² + 16x − 93

0 = (x − 3) (5x + 31)

x = 3

y = 7

Use the second equation to check your answer.

63 = (3)²(7)

63 = 63

Answer:

Length=Width=3

Height=7.

Step-by-step explanation:

First, let's write some equations. So, we have an open box (with no lid) that has a square base. It has a height 4 units more of its width/length.

First, let's write the equation for the volume. The volume of a rectangular prism is:

[tex]V=lwh[/tex]

Recall that we have a square base. In other words, the length and width are exactly the same. Therefore, we can do the following substitution:

[tex]V=(w)wh=w^2(h)[/tex]

Now, recall that the height is four units more than the width/length. Therefore, we can make the following substitution:

[tex]V=w^2(w+4)\\63=w^2(w+4)[/tex]

We can't really do anything with this. Let's next find the equation for the surface area.

So, we have 5 sides (not 6 because we have no lid). The bottom side is a square, so it's area is w^2. Since we have a square base, the remaining four sides will have an area w(w+4). In other words:

[tex]93=w^2+4(w(w+4))[/tex]

The left term represents the area of the square base. The right term represents the area of one of the rectangular sides, times sides meaning four sides. Simplify:

[tex]93=w^2+4w^2+16w\\5w^2+16w-93=0[/tex]

This seems solvable. Let's try it. Trying factoring by guessing and checking.

We can see that it is indeed factor-able. -15 and 31 are the numbers:

[tex]5w^2-15w+31w-93=0\\5w(w-3)+31(w-3)=0\\(5w+3)(w-3)=0\\w=3\\h=w+4=7[/tex]

We ignore the other one because width cannot be negative.

So, the width/length is 3 and the height is 7. We can check this by plugging this into the volume formula:

[tex]63\stackrel{?}{=}(3)^2(7)\\63\stackrel{\checkmark}{=}63[/tex]

35 is 10% of what number?

Answers

Answer:

Step-by-step explanation:

If you take 10 percent of a number and get 35, then what is that number?

In other words, you know that 10 percent of a number is 35 and you want to know what that initial number is.

To solve this problem you multiply 35 by 100 and then divide the total by 10 as follows:

(35 x 100) / 10

When we put that into our calculator, we get the following answer:

350

Therefore, you can derive that 10 percent of 350 equals 35.

We wish to estimate what percent of adult residents in a certain county are parents. Out of 500 adult residents sampled, 175 had kids. Based on this, construct a 99% confidence interval for the proportion p of adult residents who are parents in this county. Express your answer in tri-inequality form. Give your answers as decimals, to three places.

Answers

Answer:

The 99% confidence interval  is  [tex]0.3003 < I < 0.3997[/tex]

Step-by-step explanation:

From the question we are told that

     The sample size is  [tex]n = 500[/tex]

      The the number that are parents  x =  175

The  proportion of parents is  mathematically represented as

       [tex]\r p = \frac{x}{n}[/tex]

substituting values

      [tex]\r p = \frac{175}{500}[/tex]

     [tex]\r p = 0.35[/tex]

The  level of confidence is given as 99%  which implies that the level of significance is  

       [tex]\alpha = 100 - 99[/tex]

       [tex]\alpha =[/tex]1%

      [tex]\alpha = 0.01[/tex]

The critical value for this level of significance is obtained from the table of critical value as

          [tex]t_{x, \alpha } = t_{175, 0.05} = 2.33[/tex]

Generally the margin of error is mathematically evaluated as

       [tex]M =\frac{ t_{175, 0.01 } * \sqrt{\r p (1-\r p)} }{\sqrt{n} }[/tex]

substituting values

     [tex]M =\frac{ 2.33 * \sqrt{\r 0.35 (1-0.35)} }{\sqrt{500} }[/tex]

     [tex]M = 0.0497[/tex]

Generally the 99% confidence interval is mathematically represented as

        [tex]I = \r p \pm M[/tex]

    [tex]\r p -M < I < \r p + M[/tex]

substituting values

    [tex]0.35 -0.0497 < I < 0.35 + 0.0497[/tex]

    [tex]0.3003 < I < 0.3997[/tex]

need help thanksssss

Answers

Before we can find any of the three items mentioned, we need the height. The diameter is 10, so the radius is 5. A right triangle with hypotenuse 13 and leg 5 forms. The height is h. Use the pythaogrean theorem to solve for h

5^2+h^2 = 13^2

25+h^2 = 169

h^2 = 169-25

h^2 = 144

h = sqrt(144)

h = 12

The height is 12. We now have enough info to find the volume, the lateral area and surface area.

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

Volume

V = (1/3)*pi*r^2*h

V = (1/3)*3.14*5^2*12

V = 314 cubic cm

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

Lateral Area

LA = pi*r*L

LA = 3.14*5*13

LA = 204.1 square cm

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

Surface Area

SA = 2*pi*r + pi*r*L .... note how we add on the lateral area to the bottom circular area

SA = 2*3.14*5 + 3.14*5*13

SA = 235.5 square cm

The quotient of a number and -5 has a result of 2. What is the number?
Type the correct answer in the box. Use numerals instead of words.

Answers

Answer:

-10

-5 * 2 = -10

Hope this is right

The shape of a garden is rectangular at the center and semicircular at the ends. Find the area and perimeter of this garden { length of the rectangle is 20 - (3.5+3.5) meters} The First, correct answer gets BRAINLIEST

Answers

Mensuration:

Mensuration is the branch of mathematics which concerns itself with the measurement of Lengths, areas & volume of different geometrical shapes or figures.

Plane Figure: A figure which lies in a plane is called a plane figure.

For e.g:  a rectangle, square, a rhombus, a parallelogram, a trapezium.

 

Perimeter:

The perimeter of a closed plane figure is the total length of its boundary.

In case of a triangle or a polygon the perimeter is  the sum of the length of its sides.

Unit of perimeter is a centimetre  (cm), metre(m) kilometre(km) e.t.c

Area: The area of the plane figure is the measure of the surface enclose by its boundary.

 

The area of a triangle are a polygon is the measure of the surface enclosed by its sides.

A square centimetre (cm²) is generally taken at the standard unit of an area. We use square metre (m²) also for the units of area.

Circumference of a circle is the perimeter of a circle.

In a circle the radius is half of the diameter.

The approximate value of π( Pi) is= 22/7 

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

Gravel is being dumped from a conveyor belt at a rate of 35 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 12 ft high? (Round your answer to two decimal places.)

Answers

Answer:

0.31 ft/s

Step-by-step explanation:

The volume of a cone is given by the formula:

V = πr²h/3

From the question, we are given the diameter and the height to be equal, thus;

r = h/2

Putting h/2 for r into the volume equation, we have;

V = (π(h/2)²h)/3

V = πh³/12

Using implicit derivatives,we have;

dV/dt = (πh²/4)(dh/dt)

From the question, we want to find out how fast is the height of the pile increasing. This is dh/dt.

We have;

dV/dt = 35 ft³/min and h = 12ft

Plugging in the relevant values, we have;

35 = (π×12²/4)(dh/dt)

dh/dt = (35 × 4)/(144 × π)

dh/dt = 0.3095 ft/s ≈ 0.31 ft/s

Solve the quadratic equation by factoring 9x^2 -16 = 0

Answers

Answer: x= - 4/3 and x = 4/3

Step-by-step explanation:

(3x-4) times (3x+4) = 0

Compare the following pairs of decimals. Use to indicate their relationship. a. 0.7 _______ 0.52 b. .52 _______ .045 c. 0.49 _______ 0.94 d. 0.302 _______ .23 e. 0.9 _______ 0.6 f. 2.36 _______ 3.19

Answers

Answer:

a)0.7 is greater than>0.52

b)0.52 is greater than>0.045

c)0.49 is less than<0.94

d)0.302 is greater than>0.23

e)0.9 is greater than>0.6

f)2.36 is less than<3.19

help with this will give bralienst pleaseeee

Answers

Answer:

D

Step-by-step explanation:

You can test this out with a number.

try dividing 23 by 8:

you will get 2 remainder 7 which works for the condition.

Note: Whenever you divide a number by x(other number) the remainder will always have to be to less than x:

The only one that applies to this aforementioned condition is 8.

Answer:

D

Step-by-step explanation:

The remainder can never be greater than the number by which it is divided

For example:

n = any number

n / 2 -> The remainder will never be greater than 2 (0 < remainder <2)

n / 3 -> The remainder will never be greater than 3 (0 < remainder <3)

n / 4 -> The remainder will never be greater than 4 (0 < remainder <4)

n / 5 -> The remainder will never be greater than 5 (0 < remainder <5)

n / 6 -> The remainder will never be greater than 6 (0 < remainder <6)

..... etc

The diagram shows a right triangle and three squares. The area of the largest square is 55 units.
Which could be the areas of the smaller squares?
Choose all answers that apply:
A
12 and 43
B
14 and 40
16 and 37

Answers

Answer:

It's 12 and 43

Step-by-step explanation:

A square is a plane shape with equal length of sides, while a right triangle is a triangle that has one of its angles to be [tex]90^{o}[/tex]. Thus, the areas of the smaller squares could be:

A. 12 and 43

A square has equal length of sides, so that its area is given as:

Area of a square = length x length

                            = [tex]l^{2}[/tex]

For the largest square its area = 55 [tex]units^{2}[/tex], so that:

Area = [tex]l^{2}[/tex]

⇒ 55 = [tex]l^{2}[/tex]

l = [tex]\sqrt{55}[/tex]

Now applying the Pythagoras theorem to the right triangle, we have:

[tex]/Hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

where hypotenuse = [tex]\sqrt{55}[/tex]

([tex]\sqrt{55}[/tex][tex])^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex] = 55

Therefore, the addition of the areas of the smaller squares should be equal to that of the largest square.

Thus from the theorem above, the areas of the smaller squares could be 12 and 43.

i.e 12 + 43 = 55

Visit: https://brainly.com/question/18440758

4. Starcraft 2 player Serral won 36 out of his last 45 matches in high-level play. Continuing with that level of competition, where each match ends in a win or a loss, answer the following queries. (a) If Serral is scheduled to play exactly 6 games, what is the probability that Serral will lose at most 2 games. (b) If the venue instead has players keep playing until their first loss, what is the probability that Serral will have a win streak of at least 4 games

Answers

Answer:

Starcraft

a) Probability of losing at most 2 games = 33%

b) Probability of winning at least 4 games = 67%

Step-by-step explanation:

a) To lose 2 out of 6 games, the probability is 2/6 x 100 = 33.333%

b) To win at least 4 games out of 6, the probability is 4/6 x 100 = 66.667%

c) Since Serral is playing 6 games, for her to lose at most 2 of the games is described as a probability in this form 2/6 x 100.  This shows the chance that 2 of the games out of 6 could be lost by Serral.  On the other hand, the probability of Serral winning at least 4 of the 6 games is given as 4/6 x 100.  It implies that there is a chance, 4 out of 6, that Serral would win the game.

PLEASE HELP ASAP. Drag each tile to the correct box

Answers

Answer:

3 <1<4<2

hope it worked

pls mark me as

BRAINLIEST

plss

Answer:

3>1>2>4

Step-by-step explanation:

Need help with this, I don’t need an explanation, just the answer.

Answers

Answer:

-4

Step-by-step explanation:

give me brainliest please

Answer: x= 4.25 y= 12.75

Step-by-step explanation:

Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes. This system of equations models the situation. x + y =125 5x + 8y = 775

Answers

Answer:

[tex] x+y = 125[/tex]   (1)

[tex] 5x+8y = 775[/tex]   (2)

We can solve for y from equation (1) and we got:

[tex] y = 125-x[/tex]   (3)

And replacing (3) into (2) we got:

[tex] 5x +8(125-x) = 775[/tex]

And solving for x we got:

[tex] 1000-3x = 775[/tex]

[tex] 3x= 225[/tex]

[tex] x=75 [/tex]

And solving for y from (3) we got:

[tex] x= 125-75 =50[/tex]

And the solution would be x = 50 and y =75

Step-by-step explanation:

For this problem we have the following system of equations:

[tex] x+y = 125[/tex]   (1)

[tex] 5x+8y = 775[/tex]   (2)

We can solve for y from equation (1) and we got:

[tex] y = 125-x[/tex]   (3)

And replacing (3) into (2) we got:

[tex] 5x +8(125-x) = 775[/tex]

And solving for x we got:

[tex] 1000-3x = 775[/tex]

[tex] 3x= 225[/tex]

[tex] x=75 [/tex]

And solving for y from (3) we got:

[tex] x= 125-75 =50[/tex]

And the solution would be x = 50 and y =75

Two points on line p have
coordinates (2, 1) and (5, 3).
The slope of the line is?

A. 2
B. 3/2
C. 1
D. 2/3
E. 4

Answers

Answer:

D. 2/3

Step-by-step explanation:

[tex](2, 1) (5, 3)\\x_1 =2 \\y_1 =1\\x_2=5\\y_2 =3\\m =\frac{y_2-y_1}{x_2-x_1} \\\\m = \frac{3-1}{5-2} \\\\m = 2/3[/tex]

Brainliest for correct awnser Estimate the line of best fit using two points on the line.A.y = −8x + 80B.y = 4x + 80C.y = −4x + 80D.y = 8x + 80

Answers

Answer:

A.y = −8x + 80B

Step-by-step explanation:

first you have to find the slope :

P1(2,64). P2(6,32)

slope=Y2-Y1/X2-X1

slope=64-32/2-6

slope= -8

y= -8x + b. now solve for "b" by using one of the coordinates given above.

y= -8x + b. I will use coordinate p(2,64)

64= -8(2) + b

64 + 16 = b

80= b

you can use any of the coordinates i.e either P1(2,64)or P2(6,32) it doesn't affect the value of "b".

line of equation is :

.y = −8x + 80B

Answer: y= -8x+80

Step-by-step explanation:

Help ASAP!!!!

1. Solve for x. Round to the nearest hundredth if necessary.


Answers

Answer:

The answer is option B

34.28

Step-by-step explanation:

To solve for x we use tan

tan ∅ = opposite / adjacent

From the question

The adjacent is x

The opposite is 19

So we have

tan 29 = 19/ x

x = 19/ tan 29

x = 34.276

x = 34.28 to the nearest hundredth

Hope this helps

Answer:

x ≈ 34.28

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan29° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{19}{x}[/tex] ( multiply both sides by x )

x × tan29° = 19 ( divide both sides by tan29° )

x = [tex]\frac{19}{tan29}[/tex] ≈ 34.28 ( to the nearest hundredth )

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