Answer:
Ms. Thomas was driving at constant rate of 52 miles/hour.
Step-by-step explanation:
Given:
Total time to travel (t) = 45 minutes
Distance drove (d) = 39 miles
we need to find the constant rate in miles per hour at which she was driving.
Solution:
Now we know that;
We need to find constant rate at miles per hour;
But time is given in minutes.
So we will convert minutes into hour by dividing by 60 we get;
time ![t =\frac{45}{60}= 0.75\ hrs](https://tex.z-dn.net/?f=t%20%3D%5Cfrac%7B45%7D%7B60%7D%3D%200.75%5C%20hrs)
Now we know that;
Distance is equal to rate times time.
framing in equation form we get;
distance ![d =rt](https://tex.z-dn.net/?f=d%20%3Drt)
Or
rate ![r= \frac{d}{t} = \frac{39}{0.75}= 52 \ mi/hr](https://tex.z-dn.net/?f=r%3D%20%5Cfrac%7Bd%7D%7Bt%7D%20%3D%20%5Cfrac%7B39%7D%7B0.75%7D%3D%2052%20%5C%20mi%2Fhr)
Hence Ms. Thomas was driving at constant rate of 52 miles/hour.
75m + 800 = 95m + 500
Solve that equation
Which should get you m=15
15 is your answer
Answer:
x = 47
Step-by-step explanation:
86° and 2x° are supplementary angles, which means that added together they should equal 180° (which is a line). Aka
86 + 2x = 180 (Let's solve for x) (subtract both sides by 86 to get x on one side)
2x = 94 (divide both sides by 2 to get x by itself)
x = 47
You would round 1506 to 1500 and and do not round 2. So then you woulddo 1500 divided by 2 to get 750!
Answer:
Step-by-step explanation:
To find the breadth use Pythagorean theorem
Breadth² = diagonal² - length²
= 34² - 30²
= 1156 - 900
= 256
Breadth = √256 = 16 cm
Breadth = 16 cm
Perimeter = 2*(length + breadth) = 2*(30 + 16) = 2*46 = 92 cm
Area = length * breadth = 30 *16 = 480 cm²