All categories

2 years ago

A car drives at 45 km/h for 3 hours. How far does the car travel?

Mathematics

2 answers:

stellarik [79]2 years ago

8 0

Answer:

Hey!

The car travelled 135 kilometers!

Step-by-step explanation:

Here you have to do the speed (45km/h) multiplied by the time (3 hours)

45 x 3 = 135

So the car has travelled 135 kilometers!

HOPE THIS HELPS!!

cluponka [151]2 years ago

8 0

Answer: 135
Explanation: it is multiplying 45km by 3 and it equals 135km
If I helped please mark me brainliest

You might be interested in

A ladder 10 m long,leans against a vertical wall at an angle of 70° to the ground.if the ladder slips down the wall 4m,find,corr

lina2011 [118]

Answer:

(a) the new angle the ladder makes with the ground is $32.7^o$

(b) the ladder slipped back about 5 meters

Step-by-step explanation:

Notice that the ladder doesn't change its length in the process.

So let's start from the initial situation , finding the distance from the ground at which the ladder touches the wall when the angle with the ground is 70^o. Notice that this situation is represented by a right angle triangle with the right angle between the wall and the ground (see attached image), and that we can use the sine function to find the side opposite to the 70 degree angle:

$sin(70^o)=\frac{opposite}{hypotenuse} \\sin(70^o)=\frac{h}{10}\\h=10\, sin(70^o) \approx 9.4 \,\,m$

therefore 9.4 meters is approximately the height at which the ladder touches the wall initially.

Now, if the tip of the ladder goes down the wall 4 meters, it is now at 9.4 m - 4 m = 5.4 m from the ground. We can therefore use again the sine function to solve for the new angle:

$sin(x)=\frac{opposite}{hypotenuse} \\sin(x)=\frac{5.4}{10} \\sin(x)=0.54\\x=arcsin(0.54)\\x= 32.7^o$

To answer the second question we need to find the original distance from the wall that the bottom of the ladder was originally, and for that we can use the cosine function:

$cos(70^o)=\frac{adjacent}{hypotenuse} \\cos(70^o)=\frac{x}{10}\\x=10\,cos(70^o)\\x\approx 3.4 \,\,m$

Now fro the new position of the bottom of the ladder relative to the wall:

$cos(32.7^o)=\frac{adjacent}{10} \\adjacent=10\,cos(32.7^o)\\adjacent\approx 8.4\,\,m$

then the difference in between those two distances is what we need:

8.4 m - 3.4 m = 5 m

4 0

3 years ago

Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance

ANTONII [103]

Answer:

-35.626 < temperature < 733.928 . . . . degrees F

(-35.626, 733.928)

Step-by-step explanation:

It is convenient to let a calculator evaluate the expression for converting °C to °F.

-35.626 < temperature < 733.928 . . . . degrees F

(-35.626, 733.928) . . . . . . . . . . . . . . . . . in interval notation

_____

The given relation is C = 5/9(F -32). The inverse relation is F = 9/5C +32. That is the relation we need to use to answer this question.

4 0

3 years ago

If x- 2 is a factor of x^2 -bx+ b, where b is a constant, what is the value of b

KATRIN_1 [288]

$\bf x^2-\underline{b} x+b\implies \stackrel{given}{(x-2)}~(x-y)\impliedby \textit{now let's do some FOIL}\\\\
-------------------------------\\\\
\begin{cases}
-yx-2x=-\underline{b}x\implies y+2=\underline{b}\\
(-2)(-y)=b\implies 2y=b
\end{cases}
\\\\\\
\underline{b}=b\implies y+2=2y\implies 2=y$

what is b? from the first equation in the system, y + 2 = b.

4 0

3 years ago

Find the measure of angle 4

vivado [14]

Answer:

i feel this is an incomplete picture

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Raul has 4/5 pound of modeling clay. He needs to divide the clay into bags that hold 1/10 pound each. How many bags will he fill

____ [38]

Answer:

The Answer would be 8.

Step-by-step explanation:

I just did a quiz with this exact question

5 0

2 years ago