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An auditorium has 9025 seats arranged in rows and columns. Each rows contains as many as the total numbers of rows . Find the numbers of rows in the auditorium .

Answers

Answer 1

Answer:

95

Step-by-step explanation:

9025 is a perfect square of 95. hence the number of rows is 95.

Answer 2
☃︎ Answer :-

95

☃︎ Solution :-

Let the nuber of rows be x Number of columns = Number of = x Number of seats = Number of rows × Number of columns = 9025

[tex]☞︎︎︎ \: x \: \times \: x = 9025[/tex]

[tex]☞︎︎︎ \: {x}^{2} = (5 \times 5) \: \times \: (19 \times 19)[/tex]

[tex]☞︎︎︎ \: {x}^{2} = {95}^{2} [/tex]

[tex]☞︎︎︎ \: x \: = \sqrt{ {95}^{2} } [/tex]

[tex]☞︎︎︎ \: x = 95[/tex]

SourCandyy シ︎

Related Questions

Medication with strength 125 mg/5 mL has been ordered at 25 mg/kg. The patient weighs 215 lb. How much should be
administered? (If less than 1, round to the nearest hundredth; otherwise, round to the nearest tenth.)

Answers

The amount of mg required per kg for the patient is 2,438.1mg/kg

Ratios and proportions

Proportions are ratios of two integers.

Given the medication with a strength 125mg/5ml which has been ordered at 25 mg/kg.

For a patient that weighs 215lb, the weight in kg will be 97.5224kg

Since 25mg = 1 kg

x = 97.5224kg
x = 25 * 97.5224
x = 2,438.06

Hence the amount of mg required per kg for the patient is 2,438.06mg/kg

Learn more on ratio and proportion here: https://brainly.com/question/19994681

Danielle needs to walk three miles, if she wants to reach her destination in 45 minutes (3/4 hour), how fast does she need to walk?

Answers

1 mile per every 15 minutes

or 4 mph

6. Find the volume of the given figures. Compute and solve

Answers

Volume
= base area* height
=(2/2)^2 π*11
=34.6cm^3 (cor. to 3 sig. fig.)

A middle school principal wants to change the lunch menu. The principal surveys the students to determine how the students would feel about the change. What served method will produce the best repersentative sample
A)survey every 5th student who rides in a car to school
B)survey 3 randomly selected students from every homeroom
C) survey every 10 7th grade student during lunch
D) survey 5 randomly selected students

Answers

Answer:

B

Step-by-step explanation:

B is the best answer because it's a lot of students and unbiased

A boy has 380 prize tickets he wants to exchange for action figures at a prize booth. At
this prize booth 5 tickets can be exchanged for a large action figure, and 7 tickets can be
exchanged for 2 small action figures. The boy wants 4 times as many small action figures as
large action figures. Based on this information, can the boy get 80 small action figures?

Answers

Answer:

yes the boy can get 80 small action figures

Answer:

Yes

Step-by-step explanation:

Given

380 tickets in possession5 tickets → large action fig.7 tickets → 2 small action fig.Boy wants 4 times small action fig. as large action fig.

Solving

We need to find if he can get 80 small fig.S = 805L + 7(2S) = 3805L + 280 = 3805L = 100L = 20Now, our condition was that : [number of small fig. = 4 x number of large fig.]80 (small) = 4 x 20 (large) [∴ verified]⇒ He can get 80 small action figures

Can someone help me with these please

Answers

Answer:

1a. 210 m^2  1b. 14 ft^2  1c. 199.5 in^2

2a. 270 cm^2  2b. 162 m^2  2c. 272 cm^2

3a. 348 ft^2  3b. 230 in^2  3c. 312.5

Step-by-step explanation:

The area of a triangle can be calculated with one equation...

A = 1/2bh

b stands for base, h stands for height

1a. A = 1/2(21)(20)

    One half divides 20 easily..

A = 21(10)

A = 210

1b. A = 1/2(7)(4)

    One half divides 4 easily..

A = 2(7)

A = 14

1c. A = 1/2(19)(21)

A = 1/2(399)

A = 199.5

2a. A = 1/2(36)(15)

    One half divides 36 easily..

A = 18(15)

A = 270

2b. A = 1/2(18)(18)

   One half divides 9 easily..

A = 9(18)

A = 162

2c. A = 1/2(32)(17)

  One half divides 32 easily..

A = 16(17)

A = 272

3a. A = 1/2(29)(24)

  One half divides 24 easily..

A = 12(29)

A = 348

3b. A = 1/2(23)(20)

  One half divides 20 easily..

A = 10(23)

A = 230

3c. A = 1/2(25)(25)

A = 1/2(625)

A = 312.5

Finding area of triangle --> [tex]\frac{1}{2}*b*h[/tex]

b --> length of base of triangleh --> length of height of triangle

     Question 1:

         a.   [tex]Area = \frac{1}{2}*b*h = \frac{1}{2}*20*21 = 210 m^2[/tex]

         b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2}*4*7 = 14 ft^2[/tex]

         c. [tex]Area = \frac{1}{2}*b*h= \frac{1}{2} *21*19=199.5in^2[/tex]

     Question 2:

         a. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *36*15 = 270cm^2[/tex]

         b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *18*18 = 162m^2[/tex]

         b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *17*32 = 272cm^2[/tex]

     Question 3:

         a. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *24*29 = 348ft^2[/tex]

         b. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *20*23 = 230in^2[/tex]

         c. [tex]Area = \frac{1}{2}*b*h = \frac{1}{2} *25*25 = 312.5cm^2[/tex]

Finding Area of Parallelogram --> b * h

b: length of base of parallelogramh: length of height of parallelogram

     Question 1

         a. [tex]Area = b * h = 24 * 26 = 624cm^2[/tex]

         b. [tex]Area = b * h = 15 * 30 = 450in^2[/tex]

         c. [tex]Area = b * h = 21 * 31 = 651 mm^2[/tex]

 

      Question 2

         a. [tex]Area = b * h = 18 * 17 = 306 in^2[/tex]

         b. [tex]Area = b * h = 10.5 * 15 = 157.5m^2[/tex]

         c. [tex]Area = b * h = 12.5*11=137.5cm^2[/tex]

 

      Question 3:

          a. [tex]Area = b * h = 5.7*11.5=65.55in^2[/tex]

          b. [tex]Area = b * h = 8 * 12.5 = 100ft^2[/tex]

          c. [tex]Area = b * h = 1.7 * 3.6 = 6.12m^2[/tex]

Hope that helps!

The equation x2 + 4y2 = 36 represents which conic section?

ellipse

circle

hyperbola

parabola

Answers

Answer: The answer is ellipse

Find the missing side of the right triangle. Leave answer in
simplest radical form.
If the legs of a right triangle are 6 and 8, then the hypotenuse
is
a 40
b 30
C 20
d 10

Answers

Hello There!!

Given:-

Altitude (AB) = 6cm

Base (BC) = 8cm

To Find

Hypotenuse (AC) = ?

[tex] \fbox \text{According To Pythagoras Theorem = }[/tex]

[tex] \text{(Hypotenuse)² = (Altitude)² + (Base)²}[/tex]

Inserting The Values

[tex] \text{(Hypotenuse)²} =( {6})^{2} + (8) {}^{2} [/tex]

[tex] (\text{AC}) {}^{2} = (6) {}^{2} + (8) {}^{2} \\ \implies \text{(AC)} {}^{2} = 36 + 64 \\ \implies\text{AC} = \sqrt{100} \\ \implies\text{AC} = 10 \\ \\ \therefore \text{Hypotenuse (AC)} = 10 \text{cm}[/tex]

Correct Option D= 10cm

Hope this helps

i think its 8,770 wbu

help??​

Answers

Answer:

Your answer would be 8,770.

Step-by-step explanation:

the numbers list as 0,085-0,785-0,870-7,780-8,750-8,770 so you would be correct saying that 8,770 is the largest number.

The largest number in the question is 8,770

Find the value of the given trigonometric function.
cos 420°

Answers

Recall that cos(x + y) = cos(x) cos(y) - sin(x) sin(y). So

cos(420°) = cos(360° + 60°)

cos(420°) = cos(360°) cos(60°) - sin(360°) sin(60°)

cos(420°) = cos(60°)

since cos(360°) = 1 and sin(360°) = 0. Then

cos(420°) = cos(60°) = 1/2

answer the following question

Answers

Answer:

Letters as in the attached image.
Triangles ABC and ADC are congruent by SSS. From that, corresponding angles are congruent, in parcicualre B and D, both measuring 94°.
Final angle is obtained by difference. The internal angles of a quadrilater add to 360, so the remaining is 360-90-94-94 =82°

A workplace gave an “Employee Culture Survey” in which 500 employees rated their agreement with the statement, “I feel respected by those I work for.”The relative frequency of people who strongly agree with the statement is

Answers

Supposing that 400 people agree with this sentiment, the relative frequency is of 0.8.

What is a relative frequency?

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we suppose that out of 500 employees, 400 agree with the sentiment, hence the relative frequency is given by:

p = 400/500 = 0.8.

More can be learned about relative frequencies at https://brainly.com/question/14398287

What is the next number in the sequence? 9….16….24….33…

Answers

Answer:

43

Step-by-step explanation:

The first increase from 9 to 16 is 7

The second increase from 16 to 24 is 8

The third from 24 to 33 is 9

Following the pattern the next increase must be by 10. 33+10=43

According to the Mars company, packages of milk chocolate M&Ms contain 20% orange candies. Find the probability that in a random sample of 100 M&M candies, there are between 18% and 22% orange candies.​

Answers

Using the normal distribution, it is found that there is a 0.383 = 38.3% probability that the sample proportion is between 18% and 22%.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, the proportion and the sample size are of p = 0.2 and n = 100, respectively, hence:

[tex]\mu = p = 0.2[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.2(0.8)}{100}} = 0.04[/tex]

The probability that in a random sample of 100 M&M candies, there are between 18% and 22% orange candies is the p-value of Z when X = 0.22 subtracted by the p-value of Z when X = 0.18, hence:

X = 0.22:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.22 - 0.2}{0.04}[/tex]

Z = 0.5

Z = 0.5 has a p-value of 0.6915.

X = 0.18:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.18 - 0.2}{0.04}[/tex]

Z = -0.5

Z = -0.5 has a p-value of 0.3085.

0.6915 - 0.3085 = 0.383.

0.383 = 38.3% probability that the sample proportion is between 18% and 22%.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Find the area
A. 300 units
B. 520
C. 500 units

Answers

Answer:

b.520 units

Step-by-step explanation:

find the area of the bigger triangle the base is 20 which is 10×2 while the height is 28. 1/2×20×28=280units find the area of the smaller triangle. the base is also 20 while the height is 24. 1/2×20×24=240. sum the areas of the two triangles. 280+240=520units

In the equation 3s +135= 4.5 (s +10) what is s

Answers

3s + 135 = 4.5s + 45

Now move the variables and coefficients

135 = 1.5s + 45

And then the numbers

90 = 1.5s

Simplify

90/1.5 = 1.5s/1.5

60 = s

Hope this helps!

The revenue generated by a company manufacturing lawn mowers is
R=−0.9x2+90.2x , where x represents the number of mowers produced. The cost to produce the mowers is C=29x+500 , where x is the number of mowers produced.

Answers

The profit generated in terms of x is  −0.9x²+61.2x - 500

How to calculate profit functions

Given the following parameters

Revenue generated by a company = R=−0.9x²+90.2x

The cost to produce the mowers C(x) =  29x + 500

Determine the profit function

p(x) = R(x) - C(x)

P(x) = −0.9x²+90.2x  - (29x + 500)

P(x) = −0.9x²+90.2x - 29x - 500
P(x) = −0.9x²+61.2x - 500

Hence the profit generated in terms of x is  −0.9x²+61.2x - 500

Learn more on profit function here: https://brainly.com/question/25638609

Hi! I'm giving 35 points for this question! No scams or anything unrelated or you will get reported, thanks!

How could the relationship of the data be classified?

A fairly strong positive correlation

A fairly weak positive correlation

A fairly strong negative correlation

A fairly weak negative correlation

Answers

Answer:

A fairly weak positive correlation

Step-by-step explanation:

Answer:

B; A fairly weak positive correlation.

Step-by-step explanation:

Tip: You will know it's a negative if the line in the graph can be part of an N.

Factorize the given expressions below.
a) 6x power 2 -3x

b) x power 2 + 3x - 28

c) 4au + 24av - 5bu - 30bv
please answer and make it clear. give them brainlest answer.​

Answers

[tex]\textbf{a)}\\\\6x^2 -3x = 3x(2x-1)\\\\\textbf{b)}\\\\x^2+3x -28 \\\\=x^2 +7x-4x-28\\\\=x(x+7)-4(x+7)\\\\=(x-4)(x+7)\\\\\textbf{c)}\\\\4au+24av-5bu-30bv\\\\=4a(u+6v)-5b(u+6v)\\\\=(u+6v)(4a-5b)[/tex]

Step-by-step explanation:

A.6x^2-3x

3x(2x-1)

B.x^2+3x-28

product= -28x^2 sum= +3x factors= +7x, -4x

(x^+7x)(-4x-28)

x(x+7)-4(x+7)

(x-4)(x+7)

C.4au + 24av -5bu - 30bv

4a(u+6v)-5b(u+6v)

(4a-5b)(u+6v)

Approximate square root of 35 using an appropriate linear approximation.

Answers

Answer:

5.91

Step-by-step explanation:

35 is between the perfect squares 25 and 36.

√25 = 5

√36 = 6

     /            5         25       \

    |      d                       10   |

1  <              x          35         >    11

    |                                 1    |

     \            6          36       /

11/1 = 10/d

11d = 10

d = 0.909

√35 = 5 + d = 5.909

√35 = 5.91

A toy is shaped as a triangular prism. The toy has a
base of 108 square inches. What is the height of the toy if
the volume is 729 cubic inches?

Answers

Answer:

[tex]\huge\boxed{\sf h = 6.75 \ in.}[/tex]

Step-by-step explanation:

Given Data:

Base area = [tex]A_{B}[/tex] = 108 in.²

Volume = V  = 729 in.³

Required:

Height = h = ?

Formula:

[tex]V=A_{B}h[/tex]

Solution:

For h, rearranging formula:

[tex]\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}[/tex]

Mike earns $15 per hour and Sara earns $34 per hour. What is the relative change in wages from Mike to Sara?

Answers

To find the Relative Change (C) is equal to final value (x to the base of 2) minus initial value (x to the base of 1) divided by the initial value

$34 - $15 over $15 or $34-$15/$15

Which equals to 19/15 (Simplified and rounded to the nearest 100th) is equal to 1.27

When K is negative the parabola ………..

Answers

Answer:

  has its vertex below the x-axis

Step-by-step explanation:

In the vertex form equation for a parabola, the parameter k is the y-coordinate of the vertex.

__

When k is negative, the parabola has its vertex located below the x-axis.

pls help fast!!! will give brainliest!!!!!!

Answers

Answer:

A. About 47.5π

B. About 149.1

A point on a pre-image is currently located at (1, -3). The pre-image is translated 3
units right and 6 units up.
What are the NEW coordinates for the point after the translation? Use graph paper
to sketch the translation if needed.
(3, 4)
(3,4
(4,3)
)
(7.0)
0
(-2.2)

Answers

Answer:

(4,3)

Step-by-step explanation:

Since its a positive translation you add 3 to 1 because you are going to the right. You coordinates of that step then becomes (4,-3). Then you need to translate up 6 units. Because the y is -3 you add 3 to make 0, then 3 more (3+3=6) to get positive 3. You then end up with the coordinates (4,3)

What is equivalent to24.02

Answers

Answer:

Fraction 24 2/100 which equals 24 1/50 OR in decimal form 24.020

Step-by-step explanation:

Hope this helps! :)

Using two or more complete sentences, describe how to find the general rule for the arithmetic sequence with a4=−1 and a6=−13. In your final answer, include all of your calculations

Answers

Answer:

-4 is your final answer in it

I need help figuring out the answers

Answers

Answer:

The answer would be The answer would be 26 meters squared.

Step-by-step explanation:

1. Identify three rectangles
(The ones I identified were 5 by 2 [twice!] and 3 by 2)
2. Do 5x2 (10)
3. Do 5x2 again (10)
4. Do 3x2 (6)
5. Add 10, 10, and 6, to get 26
6. Label to get 26 meters squared. I hope this helps! :)

Please help me I’ll mark brainly

Answers

Answer:

Step-by-step explanation:

First box: (3/4)*b

Second box (3/4 * -8)

third box (3/4b)

fourth box: -6

5th box: 12

which best represents the relationship between x and y

y=2x
y=x+2
y=4x
y=x+4

Answers

Answer:

In y = 2x the value of y is twice the value of x, and in y = x + 2 the value of y is two more than the value of x.

Same for the y=4x and y=x+4, just plug the numbers into the sentence.

Step-by-step explanation:

two variables in which the value of one of them (usually y) depends on the value of the other one (usually x)
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