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Elza [17]
3 years ago
6

A car drove 330 miles in 6 hours at a constant rate. If the car’s rate of travel slows by 10 mph, what is the new, slower rate o

f travel?
Mathematics
1 answer:
12345 [234]3 years ago
5 0

Answer:

45 mph

Step-by-step explanation:

Given: Distance travelled= 330 miles

           Time taken= 6 h

Lets find out speed of car drove.

Formula; Speed= \frac{Distance}{time}

Speed= \frac{330}{6} = 55\ mph

∴ Car´s speed is 55 mph.

As we have been informed that car´s rate of travel slows by 10 mph

∴ we have to reduce the current speed of car by 10 mph; (55-10)= 45\ mph

The new slower rate of travel is 45 mph.

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3 0
3 years ago
Find the values of x and y
zhuklara [117]

You can use a tangent:

tangent=\dfrac{opposite}{adjacent}

We have opposite = 17 and adjacent = x.

\tan30^o=\dfrac{\sqrt3}{3}

substitute:

\dfrac{17}{x}=\dfrac{\sqrt3}{3}       cross multiply

x\sqrt3=(3)(17)     multiply both sides by √3

x(\sqrt3)(\sqrt3)=51\sqrt3

3x=51\sqrt3      divide both sides by 3

x=17\sqrt3

Use the Pythagorean theorem:

y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34

-------------------------------------------------------------------------------------------------

Other method.

30^o-60^o-90^o triangle.

The sides are in the ratio 1:2:\sqrt3\to17:y:x

Therefore

17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3

 


4 0
3 years ago
An angle measure is 72.3 degrees. What is the measure of its complement? (I already tried 17.7 and that’s not correct).
Makovka662 [10]

Answer:

I got 17.7°

Step-by-step explanation:

Since a complimentary angle adds up to 90 degrees, this would be the right answer... does it require a degree symbol?

6 0
3 years ago
What is the first step in solving ln(x − 1) = ln6 − lnx for x?
Zarrin [17]
The first step to solving this problem is Multiplying In(x-1).
8 0
3 years ago
Read 2 more answers
Round to the nearest thousands<br> 3475.6993
Andreyy89

3475.699

°°°°°°°°°°°°°°°

Am I correct?

4 0
3 years ago
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