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Ghella [55]
2 years ago
5

The sand pit for the long jump has a width of 2.75 meters and a length of 9.54 meters. Just in case it rains, the principal want

s to cover the sand pit with a piece of plastic the night before the event. How many square meters of plastic will the principal need to cover the sand pit?
Mathematics
1 answer:
Salsk061 [2.6K]2 years ago
7 0

Answer:

The principal will need 26.24 m² of plastic to cover the sand pit.

Step-by-step explanation:

In order to calculate the amount of plastic, we need to find out the area of the sandpit. The shape of the sandpit is a rectangle, so we can use the formula:

A=W×H

where,

W is the width of the sandpit

L is the length of the sandpit

Therefore,

A=2.75 m × 9.54 m = 26.24 m²

The amount of plastic needed is 26.24 m²

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Find the distance between the points (4/4,1/10) and (2/5,7/10)​
snow_tiger [21]

Answer:

d= 2345.67

Step-by-step explanation:

 or d= 18400

6 0
3 years ago
Ms. B is making snickerdoodle cookies. Her recipe uses one and a half teaspoons of cinnamon to make two dozen cookies. If she ne
Korvikt [17]

Answer:

First we must learn to dissect a question.

<h3>Explanation:</h3>

Part 1

We can list our facts first:

  • Every 2 dozen cookies takes 1.5 teaspoons of cinnamon to make
  • She needs 13 dozen cookies

She needs 13 dozen cookies. So (13/2)x 1.5 teaspoons

6.5 \times 1.5 = 9.75 \: teaspoons

<h3>Part 2</h3>

She needs 9.75 teaspoons and 3 teaspoons make a tablespoon

So..

9.75 \div 3 = 3 r0.75= 3tbsp \: and \: 0.75tsp

7 0
2 years ago
ln(y+1)-lny=1+3lnx . Express y in terms of x, in a form not involving logarithms. (4 marks, Maths CIE A level)
Delicious77 [7]
remember
ln(x)=log_e(x)
and
log_x(a)-log_x(b)= log_x( \frac{a}{b} )
and
log_a(b)=c means a^c=b
and
blog(a)=log(a^b)



so

ln(y+1)-ln(y)=1+3ln(x)
ln( \frac{y+1}{y} )=1+ln(x^3)

minus ln(x^3) from both sides

ln( \frac{y+1}{y}-ln(x^3) )=1
ln( \frac{y+1}{yx^3})=1
log_e( \frac{y+1}{yx^3})=1

translate

e^1=\frac{y+1}{yx^3}
e=\frac{y+1}{yx^3}

times both sides by yx^3

eyx^3=y+1

minus y from both sides

eyx^3-y=1
y(ex^3-1)=1

divide both sides by (ex³-1)

y= \frac{1}{ex^3-1}
6 0
2 years ago
Read 2 more answers
Teddy uses 2.5 gallons of ice to fill 4 buckets. He needs to 30 buckets.how many gallons of ice will teddy need
Ghella [55]

Answer:

18.75 gallons of ice

Step-by-step explanation:

I divided the 2.5 gallons of ice by the number of buckets (4) it filled to determine how many gallons of ice are in each bucket.

2.5 / 4 = 0.625

I then multiplied the amount of ice it takes to fill a bucket (0.625) by 30 buckets to get 18.75 gallons of ice.

8 0
3 years ago
Read 2 more answers
A. 3x-2y=-12<br> B.2x-3y=-12<br> C.3x+2y=12<br> D.3x+3y=-12
Nikolay [14]

Answer:

C

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

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m = \frac{0-6}{4-0} = \frac{-6}{4} = - \frac{3}{2} , then

y = - \frac{3}{2} x + c

the line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - \frac{3}{2} x + 6 ← equation in slope- intercept form

multiply through by 2 to clear the fraction

2y = - 3x + 12 ( add 3x to both sides )

3x + 2y = 12 ← equation in standard form

4 0
1 year ago
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