What measurement is equivalent to 3 meters

A bicyclist heads east at 10km/h. After she has traveled 24.2 kilometers, another cyclist sets out in the same direction going 3

Alona [7]

We know that the first cyclist has traveled 24.2 km at a speed of 10 km/h. Lets use the equation $time= \frac{distance}{speed}$ to find the time of the first cyclist:
$t= \frac{24.2}{10}$
$t=2.42$
So, we know that she has traveled for 2.42 hours.

We also know that after she has traveled for 2.42 hours another cyclist sets out in the same direction, so if $t$ represents the time of our first cyclist, the time of our second cyclist will be $t-2.42$ .

Now we are going to use the equation $distance=(speed)(time)$ to relate the speeds and times of the two cyclist:
For the first one:
$distance=10t$ equation (1)
For the second one:
$distance=30(t-2.42)$ equation (2)

Replace (1) in (2)
$10t=30(t-2.42)$
The only thing left now is solve for $t$ :
$10t=30t-72.6$
$-20t=-72.6$
$t= \frac{-72.6}{-20}$
$t=3.63$

We can conclude that the second cyclist will catch up the first cyclist after 3.63 hours.

4 0

3 years ago

Find the lateral area of the regular prism with height h, if the base of the prism is: d Regular pentagon with the side 6 cm and

Aloiza [94]

Answer:

The lateral area of the regular prism is $450\ cm^{2}$

Step-by-step explanation:

we know that

The lateral area of the regular prism is equal to

$LA=Ph$

where

P is the perimeter of the base

h is the height of the prism

Find the perimeter of base P

$P=5(6)=30\ cm$ -----> the regular pentagon has 5 equal sides

we have

$h=15\ cm$

substitute in the formula

$LA=30(15)=450\ cm^{2}$

6 0

3 years ago

Read 2 more answers

Factorise the expression: x^2 - 144 and 2ax – 6ay + bx – 3by

emmasim [6.3K]

Answer:

(x-12)(x+12) and (2a+b)(x-3y)

Step-by-step explanation:

So first we have:

x^2-144

The key here is that there is no bx in the ax^2+bx+c equation here.

This means that b must equal 0, or in other words, cancel itself out.

To do this, first, the two factors must have opposite signs, and secondly, the blank values must be equal (x+_) * (x-_)

What could they be? The c value, 144, equals the two blank values multiplied together. Since they are in the same in this case, blank value^2 = 144, or $\sqrt{144} = blank$

$\sqrt{144} = 12$