Ask question

Ask question

All categories

3 years ago

9

Can you write an expression for the number of miles george travels in h hours, George drives 45 mi/h?

1 answer:

Ratling [72]3 years ago

6 0

If he drives 45 miles each hour, then in 'h' hours, he will cover ' 45h ' miles.

You might be interested in

Find an equation for the line passing through the point (6,1) and perpendicular to the line y=4x-2

Murrr4er [49]

Answer:

y = -1/4x + 2.5

or

y = -1/4x + 5/2

Step-by-step explanation:

First we know that a perpendicular line is one that intersects at a 90-degree angle. This is simply the negative inverse of the slope in our case. So, 4 turns into -1/4 and that is our new slope. Next we know that we want it to pass through the point (6,1). Right now our equation is y = -1/4x + b. We can plug (6,1) into this equation and solve.

1 = -1/4(6) + b

1 = -6/4 + b

4/4 + 6/4 = 10/4

10/4 = b

simplify: 5/2 or 2.5 = b

Now we have our y-intercept, so we can complete our equation.

y = -1/4x + 2.5

or

y = -1/4x + 5/2

4 0

2 years ago

1. A right triangle LMN is given where: side MN = 8 side NL (the hypotenuse) =

inessss [21]

Step-by-step explanation:

$\underline{ \underline{ \text{Given}}} :$

Length of MN ( Base ) = 8
Length of NL ( Hypotenuse ) = 10

$\underline{ \underline{ \text{To \: find}}} :$

Length of LM ( Perpendicular )

$\underline{ \underline{ \text{Using \: pythagoras \: theorem}}} :$

$\boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}$

⤑ $\sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }$

⤑ $\sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }$

⤑ $\sf{ \sqrt{100 - 64}}$

⤑ $\sf{ \sqrt{36}}$

⤑ $\boxed{ \sf{6\: units}}$

$\pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}$

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

5 0

3 years ago

Can someone help me with this maths equations please?

ale4655 [162]

Answer:

T=4B+10C

Step-by-step explanation:

for every bag there are 4 doughnuts

for every carton there are 10 doughnuts

4 0

2 years ago

Paige launched a ball using a catapult she built. The height of the ball (in meters above the ground) ttt seconds after launch i

agasfer [191]

Answer:

1) Factor form : $h(t)=-5t(t-8)$

2) 8 second after launch.

Step-by-step explanation:

The height of the ball (in meters above the ground) t seconds after launch is modeled by

$h(t)=-5t^2+40t$

To find the time when ball hit the ground, we need to find the factor form of the given function.

$h(t)=-5t(t-8)$

When ball hi the ground, then height of the ball from the ground is 0.

$h(t)=0$

$-5t(t-8)=0$

Using zero product property, we get

$-5t=0\Rightarrow t=0$

$t-8=0\Rightarrow t=8$

Ball hit the ground at t=0 and t=8. It means ball hit the ground in starting and 8 second after launch.

5 0

3 years ago

For the triangle shown below, complete the following table.

Virty [35]

Answer:

See below ~

Step-by-step explanation:

<u>Sin A</u> : opposing side of ∠A / hypotenuse

<u>3/5</u>

<u>Sin C</u> : opposing side of ∠C / hypotenuse

<u>4/5</u>

<u></u>

<u>Cos A</u> : adjacent side of ∠A / hypotenuse

<u>4/5</u>

<u></u>

<u>Cos C</u> : adjacent side of ∠C / hypotenuse

<u>3/5</u>

6 0

2 years ago