Ask question

Ask question

All categories

3 years ago

5

a rectangle has an area of 40cm. the dimensions of the rectangle are multiplied to form a new rectangle with an area of 160cm. b

y what number were the dimensions multiplied?

1 answer:

denis-greek [22]3 years ago

4 0

The first rectangle has a length of 20cm and a width of 2cm for the area to be 40cm. so, the dimensions must be multiplied by 4 to equal 160cm.

You might be interested in

Convert x2 + y2 -4x = 0 to polar form.

Bingel [31]

Answer:

$r(r-4\cos \theta)=0$

Step-by-step explanation:

We are given the following equation:

$x^2 + y^2 -4x = 0$

We have to convert it into polar form.

We put

$x = r \cos \theta\\y = r\sin \theta$

Putting values, we get:

$x^2 + y^2 -4x = 0\\(r\cos \theta)^2 + (r\sin \theta)^2 - 4(r\cos \theta) = 0\\r^2(\cos^2 \theta + \sin^2 \theta) - 4r\cos \theta = 0\\r^2 - 4r\cos \theta = 0\\r(r-4\cos \theta)=0$

is the required polar form.

7 0

3 years ago

45 620 000 to the nearest million

aniked [119]

Answer:

46,000,000 (46 million)

Step-by-step explanation:

If the number to the right (in this case the hundred thousands place) is 5 or greater then you round up.

If it was lower than 5 you would round down.

As the number in the hundred thousands place is 6, this means we can round up.

6 0

3 years ago

Read 2 more answers

Suppose Sally has $28.00 in her bank account and starts saving $18.25 every week. Her friend Suzy has $161.00 in her bank accoun

Elza [17]

a.

Sally has $28.00 in her bank account and starts saving $18.25 every week.

Let x represent the number of weeks from when he have $28.00 in her account.

and y represent the amount in her account at week x;

We can write the function of the case as;

$y=mx+b$

where m is the amount she saves every week, and b the initial amount in her account.

$\begin{gathered} m=\text{ \$18.25} \\ b=\text{ \$28.00} \end{gathered}$

So, the function will be;

$y=18.25x+28$

b.

Her friend Suzy has $161.00 in her bank account and is withdrawing $15 every week.

Using the same rule as in a above;

$\begin{gathered} m=-15\text{ (withdrawing is negative)} \\ b=161 \end{gathered}$

The function will be;

$y=-15x+161$

c.

The graph of the two functions is shown below;

d.

The point where the two lines intersect is shown in the graph above.

The point is at;

$(4,101)$

Which is at week 4 and balance $101.

e.

The point at which they intersect is the point where they both have the same values.

It is the week when both Sally and Suzy have the same amount in there account.

So, at the fourth week (week 4) Sally and Suzy both have $101 in their account

3 0

1 year ago

Line segment XY has endpoints X(5, 7) and Y(– 3, 3). Find the equation for the perpendicular bisector of line segment XY.

Veronika [31]

Answer:b

Step-by-step explanation:

6 0

3 years ago

the slide at the playground has a height of 6 feet.The base of the slide measured on the ground is 8 feet.what is the length of

NemiM [27]

The formula for finding the length is
${a}^{2} + {b}^{2} = {c}^{2}$
All we have to do is plug in the numbers.

${6}^{2} + {8}^{2} = {c}^{2}$
36 + 64 = 100

Since 100 =
${c}^{2}$
we have to find the square root.

$\sqrt{100} = 10$

The length of the slide is 10 feet.

6 0

3 years ago