Answer:
Length of the rope = 15.6 ft.
Step-by-step explanation:
Given:
Height of the pole from the ground = 12 ft
Adjacent distance from the pole = 10 ft
We have to find the length of the rope attached by Scott to secure the pole.
According to the question :
In forma right angled triangle as shown in the figure.
We have to find the measure of the hypotenuse.
Length of rope = Hypotenuse measure
Let the length of the rope = "h" ft
Using Pythagoras formula.
⇒ 
⇒ Plugging the values.
⇒ 
⇒ 
⇒ 
⇒ 
ft
The length of the rope, rounded to the nearest tenth is 15.6 ft.
Answer:
13 and 14.
Step-by-step explanation:
So we have two consecutive integers.
Let's call the first integer a.
Since the integers are consecutive, the other integer must be (a+1) (one more than the last one).
We know that the sum of the greatest integer (or a+1) and twice the lesser integer (a) is 40. Therefore, we can write the following equation:
The first term represents the greatest integer. The second term represents 2 times the lesser integer. And together, they equal 40.
Solve for a. Combine like terms:
Subtract 1 from both sides. The 1s on the left cancel:
Divide both sides by 3:
Therefore, a or the first integer is 13.
And the second integer is 14.
And we can check:
14+2(13)=14+26=40
Answer:
Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.
Step-by-step explanation:
Noah had to rationalize the denominator of 
According to him,
Solving the nominator and denominator
Noah did correctly till this point.
In the next step he add 25 and 7 in the denominator, whereas, it should be subtracted.
Hence,
Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.
Step-by-step explanation:
Area=10*7*16mm³=1120mm³
8/21 is the answer to the question
