Answer:
The distance traveled in this time downstream is 1,000 ft
Step-by-step explanation:
In order to calculate how far downstream is she swept when she reaches the opposite bank we would have to make the following calculation:
distance traveled in this time downstream=speed*time to reach other side
speed=6 ft/s
time to reach other side=500/3
time to reach other side=166.66 s
Therefore, distance traveled in this time downstream = 6*166.66
distance traveled in this time downstream= 1,000 ft
The distance traveled in this time downstream is 1,000 ft
Answer:
Length of first leg = 1.4feet
Hypotenuse = 4.2feet
Explanation:
Since we are dealing with a right angled triangle, we will apply the Pythagoras theorem to solve the question. According to Pythagoras theorem, the square of the hypotenuse is equal to the sum if the square of the other two legs.
Mathematically, a² = b²+c² where a is the hypotenuse and b, c are the other two legs.
From the question, since hypotenuse of a right triangle is three times the length of its first leg, then a = 3b.
Also the other leg is four feet i.e c= 4
Substituting this values into the Pythagoras formula;
a²=b²+c²
(3b)² = b²+4²
9b² = b²+16
9b²-b² = 16
8b² = 16
b² = 16/8
b² = 2
b = √2
b = 1.4
Since a = 3b
a = 3(1.4)
a = 4.2
Hence, the length of the first leg is 1.4feet and that of the hypotenuse is 4.2feet both to the nearest tenth.
Answer: y > -1/2x + 2
Step-by-step explanation: first, in order to find the inequalities you should find the gradient by choosing two points from the line and you should you the formula m=y2-y1/x2-x1 to find the gradient.
Next, you should find the y-intercept in order to complete the inequality it can be easily found as the y-intercept is the place where the line crosses the y axis
Then you create your equation { y = -1/2x + 2 } and then if above the line is shaded then it is {> greater than} and if below the line is shaded then it should be {< less than}
(so you should replace the equation with the lesser or greater sign according to the way the graph is shaded)
Answer:
a. A triangular prism
b. SA = bh + Pd
c. 144 cm²
Step-by-step explanation:
b. SA = bh + Pd where b is the base of the base triangle, is the height of the base triangle, P is the perimeter of the base triangle, and d is the depth of the triangle (the depth is perpendicular to the base triangle)
SA = bh + Pd
b = 4
h = 3
P = 3 + 4 + 5 = 12
d = 11, so
SA = 4(3) + 12(11) = 144
Answer:
The number would be 8 trust me
Step-by-step explanation:
I know my MATH mark me brainliest pls