Answer:
He drove to pick Jack at a speed of 16.25mph
Step-by-step explanation:
In this question, we are trying to calculate the speed at which Mathew drove to pick up his cousin Jack.
Firstly, we need to calculate some stuffs.
like the total number of distance traveled? That is simply 8 miles + 11 miles = 19 miles! keep this!
Now, we need to know the total average speed. This is the total distance traveled over the time taken. The time taken is 24 minutes, let’s have this in hours. That would be 24/60 = 0.4 hours
The total average speed is thus 19 miles/ 0.4 hours = 47.5 mph
Now let’s go get the speed he drove to Jack!
directly from the question, we were told that the speed to the mall is 15mph faster. This means if the speed he took to fetch Jack was x, the speed to the mall would be x + 15
so this means;
x + x + 15 = 47.5
2x + 15 = 47.5
2x = 32.5
x = 32.5/2
x = 16.25 mph
Using the Pythagorean Theorem, it is found that the base of the pole should be set 10 feet from the end of the wire.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean Theorem relates the length of the legs and of a right triangle with the length of the hypotenuse h, according to the following equation:
In this problem, the distance is , while the other measures are , hence:
The base of the pole should be set 10 feet from the end of the wire.
More can be learned about the Pythagorean Theorem at brainly.com/question/654982
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Answer:
y - 2x = 3
Step-by-step explanation:
Use the point-slope formula y - k = m(x - h), with h = 0, k = 3 and m = 2:
y - 3 = 2(x - 0), or
y - 3 = 2x, or
y - 2x = 3
Note that the given point, (0, 3), is the y-intercept of this line, and so we immediately know b in y = mx + b: it is 3.
Answer:
0.61=61/100
Step-by-step explanation:
<span>3 1/2 yards = 54 inches
</span><span>2 feet 10 inches =34 inches
</span><span>She had 2 feet 10 inches of ribbon left after trimming some curtains, that means
</span>54 inches - X =34 inches, 54 inches -34 inches<span> = X, X=20 inches
</span><span>The solution is 20 inches</span>