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.
Let x = 1st number and y = 2nd number
Using the sentences:
The
sum of two numbers is 51: x + y = 51
one fourth of one number exceeds one fifth of another number by 6:
(1/4)x > (1/5)y + 6
This means y is the smaller number.
From x + y = 51 → x = 51 - y
Plug into the inequality
(1/4)(51 - y) > (1/5) y + 6
Multiply each side by 20
5(51 - y) > 4y + 120
251 - 5y > 4y + 120
-9y > -131
y <
The easiest way to do this is to convert both of the numbers to improper fractions. so 10 becomes 10/1 and 3 1/6 becomes 19/6. Then we multiply straight across so 10*19 is 190 and 1*6 is 6 and we get 190/6. This can be simplified to 95/3 which is 31 2/3. Hope this helps.
Answer:
+81
Step-by-step explanation:
neg times a neg = a positive
