Ask question

Ask question

All categories

3 years ago

13

A regular pentagon was a perimeter of 21" is dilated by a scale factor of 5/3 to create a new pentagon what is the perimeter of

the new pentagon

1 answer:

yKpoI14uk [10]3 years ago

5 0

The new perimeter of the pentagon is 35".

This can be found by multiplying 3/5 by the original perimeter, 21"

You might be interested in

An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the

DedPeter [7]

<em><u>The inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground is:</u></em>

$d = -16t^2 + 1000$

<em><u>Solution:</u></em>

<em><u>The object falls, its distance, d, above the ground after t seconds, is given by the formula:</u></em>

$d = -16t^2 + 1000$

To find the time interval in which the object is at a height greater than 300 ft

Frame a inequality,

$-16t^2 + 1000 > 300$

Solve the inequality

Subtract 1000 from both sides

$-16t^2 + 1000 - 1000 > 300 - 1000\\\\-16t^2 > -700$

$16t^2 < 700\\\\Divide\ both\ sides\ by\ 16\\\\t^2 < \frac{700}{16}\\\\Take\ square\ root\ on\ both\ sides\\\\t < \sqrt{\frac{700}{16}}\\\\t < \pm 6.61$

Time cannot be negative

Therefore,

t < 6.61

And the inequality used is: $-16t^2 + 1000>300$

6 0

3 years ago

Circle has a circumference of 59 cm using 3.14 as an approximation for π (pie)

soldi70 [24.7K]

I believe the radius of the circle would be about 18.79 (rounded).
Hope this helps ;}

6 0

3 years ago

At the super school of

In-s [12.5K]

Answer:

Step-by-step explanation:

31:12 + ratio

6 0

3 years ago

What is the value of the expression (-8/9) divided by (-2/3) x (-4 1/2) ?

Law Incorporation [45]

Answer:

B) $x=-\frac{8}{27}$

Step-by-step explanation:

$-\frac{8}{9}=-\frac{2}{3}x(-4\frac{1}{2})$

To start things off, lets convert any <em>mixed numbers</em> like $-4\frac{1}{2}$ into <em>improper fractions</em>. In this case $-4\frac{1}{2}$ as an improper fraction is $-\frac{9}{2}$ .

$-\frac{8}{9}=-\frac{2}{3}x(-\frac{9}{2})$

Now let's multiply $-\frac{2}{3}x$ by $-\frac{9}{2}$ . When multiplying fractions, all you need to do is multiply the numerators and denominators separately. Your final answer should be $\frac{18}{6}x$ .
*Note: a <em>negative </em>times a <em>negative </em>is a <em>positive</em>, so that's why we now have an even number in front of $x$ instead of a negative number.

$-\frac{8}{9}=\frac{18}{6}x$

Now we want to isolate $x$ , so we'll have to divide $-\frac{8}{9}$ by $\frac{18}{6}$ , but dividing these two fractions seems like a pain. To make things a bit easier, let's turn our improper fraction into a whole number. To change this improper fraction into a whole number, we should ask ourselves what times $6$ is equal to $18$ ? In this case, the answer is 3, so $\frac{18}{6}$ is actually the same thing as the whole number $3$ .
*Note: In general, keeping fractions as either improper fractions or whole numbers will make doing math easier. Avoid mixed numbers like $-4\frac{1}{2}$ when trying to do math and simply change improper fractions into mixed numbers once you have your final solution.

$-\frac{8}{9}=3x$

Now divide $-\frac{8}{9}$ by $3$ . Think of it as multiplying the denominator of $-\frac{8}{9}$ by $3$ .

$-\frac{8}{27}=x$

6 0

3 years ago

X = 8 is a solution for the equation x/2 = 4

Naya [18.7K]

Answer:

x = 8 is a solution for the equation

4 0

3 years ago