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Tresset [83]
3 years ago
8

26. 50 students sit in a class room. Each student

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0
<h2><em>each student requires 9m² of floor  </em></h2><h2><em>and given the no. of students is 50 </em></h2><h2><em>So the total area of the room is 9m²X50=450m² </em></h2><h2><em>Given the length of the room is 25m </em></h2><h2><em>so the Breadth is =450/25=18m </em></h2><h2><em> </em></h2><h2><em>each student requires 108m³ of space  </em></h2><h2><em>so total volume of the room is 108X50=5400m³ </em></h2><h2><em>we know that : Volume=Area X h </em></h2><h2><em>                      so⇒5400=450Xh </em></h2><h2><em>                          ⇒h=5400/450=  12m</em></h2><h2><em /></h2><h2><em>HOPE IT HELPS (◕‿◕✿)</em></h2>
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12. Carmen multiplied a non-zero rational number by its additive inverse. Which statement about the product must be true?
nignag [31]

Answer:

<u>Option C. The product was negative.</u>

Step-by-step explanation:

Let the non-zero rational number is = \frac{x}{y}

So, its additive inverse = -\frac{x}{y}

The result of multiplication the non-zero rational number by its additive inverse = \frac{x}{y} *-\frac{x}{y} =-\frac{x^2}{y^2}

We will check the options:

A. The product was the multiplicative inverse of the original number.

<u>Wrong </u>because the product = \frac{x}{y} *-\frac{x}{y} =-\frac{x^2}{y^2}

B. The product was the additive inverse of the original number.

<u>Wrong </u>because the product = \frac{x}{y} *-\frac{x}{y} =-\frac{x^2}{y^2}

C. The product was negative.

<u>True</u>

D. The product was positive.

<u>Wrong </u>because the product was negative.

<u>So, the answer is option C.</u>

6 0
3 years ago
In which triangle is the measure of the unknown angle, x, equal to the value of sin–1(StartFraction 5 Over 8. 3 EndFraction)?.
almond37 [142]

The triangle is a right-angled triangle with a perpendicular side of 5 and a hypotenuse of 8.3.

<h2 /><h2>Given to us</h2>

\theta = sin^{-1}\dfrac{5}{8.3}

<h2>Sine θ</h2>

as we know that sine for any angle is the ratio of its perpendicular to the hypotenuse,  and trigonometry is only applicable to a right-angled triangle.

therefore,

\theta = sin^{-1}\dfrac{5}{8.3}\\\\sin \theta=\dfrac{5}{8.3}=\dfrac{Perpendicular}{Hypotenuse}\\

Hence, the triangle is a right-angled triangle with a perpendicular side of 5 and a hypotenuse of 8.3.

Learn more about Sine:

brainly.com/question/18055768

6 0
2 years ago
4,845 to the nearest hundred.
Evgen [1.6K]

Answer:4,845

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
An animal shelter spends $5.50 per day to care for each bird and $8.50 per day to care for each cat. Nicole noticed that the she
Pavel [41]

Answer: there were 19 birds at the shelter on Wednesday

Step-by-step explanation:

Let x represent number of beds at the shelter on Wednesday.

Let y represent the number of cats at the shelter on Wednesday.

Nicole found a record showing that there were a total of 40 birds and cats on Wednesday. This means that

x + y = 40

The animal shelter spends $5.50 per day to care for each bird and $8.50 per day to care for each cat. Nicole noticed that the shelter spent $283.00 caring for birds and cats on Wednesday. This means that

5.5x + 8.5y = 283 - - - - - - - - - - -1

Substituting x = 40 - y into equation 1, it becomes

5.5(40 - y) + 8.5y = 283

220 - 5.5y + 8.5y = 283

- 5.5y + 8.5y = 283 - 220

3y = 63

y = 63/3 = 21

x = 40 - y

x = 40 - 21 = 19

4 0
4 years ago
Read 2 more answers
Mr. Smith goes to the concession stand and buys 2 soft pretzels and 1 cheeseburger for $8.25. Mr. Martin goes to the same conces
polet [3.4K]

Answer:

<em>$4.15</em>

Step-by-step explanation:

Let the cost of a cheeseburger be x

Let the cost of a soft pretzels be y

If Mr. Smith goes to the concession stand and buys 2 soft pretzels and 1 cheeseburger for $8.25, this is expressed as;

x + 2y = 8.25 .... 1

Also, if Mr. Martin goes to the same concession stand and buys 1 soft pretzel and 3 cheeseburgers for $13.50, this is expressed as;

3x + y = 13. 50..... 2

The required equations are:

x + 2y = 8.25

3x + y = 13. 50

Find x and y by solving simultaneously:

From 1: x + 2y = 8.25

x = 8.25 - 2y ..... 3

Substitute 3 into 2

3(8.25-2y)+y = 13.50

24.75 - 6y+y = 13.50

24.75 - 5y = 13.50

-5y = 14.50 - 24.75

-5 y = 10.25

y = -10.25/-5

y = 2.05

Since x = 8.25 - 2y

x = 8.25 - 2(2.05)

x = 8.25 - 4.1

x = 4.15

<em>Hence the cost of a cheesburger is $4.15</em>

4 0
3 years ago
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