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3 years ago

Is the enlargement shown below a dilation…. Please I need help ASAP

Mathematics

1 answer:

lesantik [10]3 years ago

8 0

I honestly don’t remember what a dilation is, but I can tell you that those triangles are not similar. 3:18 and 8:24 do not share the same ratio. 3 fits into 18 *6* times and 8 only fits into 24 *3*times.

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Earth revolves around the Sun in 365 days, but the planet Mercury does so in only 88 days. Compared to Earth, how many more comp

Elena L [17]

Answer:

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

Step-by-step explanation:

<u>Earth</u> takes 365 days to make a complete revolution.

we can say that the rotational speed of Earth is $\dfrac{1}{365}\frac{\text{rev}}{\text{day}}$

so, in a 1000 days how many revolutions will Earth have made?

$\dfrac{1}{365}\frac{\text{rev}}{\text{day}}\times(1000\,\text{day})$

see that the 'day's cancel out. Simply multiply the two numbers!

$2.739\text{rev}$

<u>Next, do the same for Mercury</u>

we can say that the rotational speed of Mercury is $\dfrac{1}{88}\frac{\text{rev}}{\text{day}}$

as it completes 1 revolution in 88 days.

so, in a 1000 days how many revolutions will Mercury have made?

$\dfrac{1}{88}\frac{\text{rev}}{\text{day}}\times(1000\,\text{day})$

multiplying by 1/88 by 1000 yields:

$11.363\text{rev}$

The Question is how many MORE complete revolutions will Mercury make in 1000 days?

We need to subtract the revolutions of Mercury with Earth to find how far ahead is Mercury from Earth

$11.363\text{rev} - 2.739\text{rev}$

$8.624\text{rev}$

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

5 0

3 years ago

PLEASEE HELPP!!!!

Alex73 [517]

y = - $\frac{1}{4}$ x + $\frac{15}{2}$

the equation of a line in slope- intercept form is

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

y = 4x + 5 is in this form with slope m - 4

Given the slope of a line m, then the slope ( $m_{2}$ ) of a line perpendicular to it is

$m_{2}$ = - (1 / m ) = - $\frac{1}{4}$

y = - $\frac{1}{4}$ x + c is the partial equation of the perpendicular line

to find c, substitute ( 2, 7 ) into the partial equation

7 = - $\frac{1}{2}$ + c ⇒ c = $\frac{15}{2}$

y = - $\frac{1}{4}$ x + $\frac{15}{2}$ ← equation of perp. line

5 0

3 years ago

One positive integer is 5 less than twice another. The sum of their squares is 725. Find the integers.

finlep [7]

Let the numbers are a and b; a - 5 = 2b, and -------------- (1)a2 + b2 = 250 ----------------(2) rewriting and squaring of (1) is given as; a2 = 4b2 + 20b + 25 -------- (3) substituting (3) into (2) (4b2 + 20b + 25) + b2 = 250, thus 5b2 + 20b - 225 = 0 by dividing both sides by 5 b2 + 4b - 45 = 0 solving the quadratic for b, we will get b = -9 or 5, substituting these for b in (1), we will get a asa = -13 or 15 However, if a and b must be positive integer, then a = 15 and b = 5 is the answer

4 0

4 years ago

lester jogs 5 3/4 miles each day that he jogs. last month, he jogged a total of 115 miles. how many days did he jog last month?

EastWind [94]

115 divided 23/4 is equivalent to 115 x 4/23= 20

5 0

3 years ago

Gavin is selling water bottles at a baseball game to help raise money for new uniforms.

coldgirl [10]

Answer:

$41.50 profit

Step-by-step explanation:

First, 1.25x48=60

Second, 60-18.50=41.50

7 0

3 years ago

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