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3 years ago

The area of a rectangle 54 cm2. and its length =9cm. find :

Mathematics

1 answer:

alexira [117]3 years ago

4 0

Answer:

A) 6cm

B) 2:3

C) 1:5

Step-by-step explanation:

A) area of rectangle = width × length

54cm^2 = x × 9

x = 54 ÷ 9

width = 6cm

B) the width = 6cm

the length = 9cm

the ratio between the width and the length

=》6cm : 9cm

if you simplify, it becomes 2: 3

C) the perimeter of the rectangle

= (2 × width) + (2 × length)

= (2 × 6) + (2 × 9)

= 12 + 18

= 30 cm

the ratio between the width and the perimetet

=》 6cm : 30 cm

if you simplify, it becomes 1 : 5

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Function 1: y = 4x + 5

vlabodo [156]

Y=mx+b
m=slope

given
y=4x+5
m=4=slope

2.
for the points (x1,y1) and (x2,y2), the slope of the line passing trhough those points is (y2-y1)/(x2-x1)
given
(1,6) and (3,10)
slope=(10-6)/(3-1)=4/2=2

function 1 slope is 4
function 2 slope is 2
4>2

the first one has greater rate of change

6 0

3 years ago

Read 2 more answers

Find the distance between the points (8,1) and (2,10).<br> Round decimals to the nearest tenth.

miss Akunina [59]

The nearest distance between the points (8,1) and (2,10) is 11 units, which is mentioned in and also calculated by using formula.

Step-by-step explanation:

The given is,

Two points are (8,1) (2,10)

Step: 1

By graphical method, refer the attachment,

First point (8,1)

The values of x=8 and y=1 noted in the graph

Second point (2,10)

The values of x=2 and y=10 noted in the graph

Now join the two points (8,1) and (2,10)

Measure the distance between two points, the distance is 11 units. Due to some error the value becomes 10.98 or 11.1 we need to convert the answer into nearest whole number.

( OR )

Step:1

By formula method,

Distance = $\sqrt{(x_{2} - x_{1} )^{2} +(y_{2} - y_{1} )^{2} }$ .....................(1)

Where,

(8,1) are ( $x_{1},y_{1}$ )

(2,10) are ( $x_{2},y_{2}$ )

From the equation,

= $\sqrt{(2 - 8 )^{2} +(10 - 1 )^{2} }$

= $\sqrt{(-6 )^{2} +(9 )^{2} }$

= $\sqrt{36 +81 }$

= $\sqrt{117}$

= 10.81665

≅ 11 ( Answer convert to the nearest tenth)

Distance = 11 units

Result:

The nearest distance between the points (8,1) and (2,10) is 11 units, which is mentioned in and also calculated by using formula.

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3 years ago

Ayala biked 12.76 miles on Sunday, 3.45 miles on Monday, and 6.52 miles on Tuesday. Over those three days, about how many miles

agasfer [191]

Answer:

23 miles

Step-by-step explanation:

12.76=13

3.45=3

6.52=7

13+3+7=23

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3 years ago

Read 2 more answers

Problem 9

lapo4ka [179]

Answer:

3:36PM

Step-by-step explanation:

Leon starts at 12PM with 12 gallons of gas, and after 2 hours he has used 5 gallons of gas. This means that every 2 hours he uses 5 gallons of gas.

Next we will find at what point Leon will stop to get gas. Since he will stop when the tank is at $\frac{1}{4}$ capacity, we can use the equation:

$\frac{1}{4} * 12 = \boxed{3}$

This shows $\frac{1}{4}$ of his tank's capacity ( $12$ ) is equal to $3$ gallons. This means he will stop for gas when $3$ gallons are remaining.

Now we need to find how many gallons of gas he uses, but as a unit rate. (This will allow us to find what time Leon will stop to get gas.) To find the unit rate, we will need to find how many gallons of gas he uses per hour.

$\frac{\mbox{5 gallons}}{\mbox{2 hours}} = \frac{\mbox{2.5 gallons}}{\mbox{1 hours}}$

This is a simple proportion, and now we know he uses $2.5$ gallons of gas per hour.

Now we can how many hours of gas Leon has left.

He has $7$ gallons of gas left at 2PM, so we can divide to find how many hours left of gas he has.

$\frac{7-3}{2.5} = 1.6$

The $7-3$ is because Leon doesn't stop when his tank is empty, he stops $3$ gallons earlier. We are dividing by $2.5$ because that is how much gas he uses per hour, meaning the result of this division ( $1.6$ ) is how many hours he has left.

Now we can solve for what time Leon will stop to get gas.

12PM + $2$ hours of driving + the remaining $1.6$ hours = 3:36PM

( $1.6$ hours is equal to 1 hour and 36 minutes)

Therefore, Leon will stop for gas at 3:36PM

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2 years ago

The number of kilometers George ran is equal to the product of two odd integers. George May have run ? kilometers.

Serggg [28]

B. 11
Although eleven is a prime number, it's two factors (1 and 11) are odd integers

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3 years ago