45 feet.
Absolute value is the distance of a number from 0. Say 0 is the surface of the ocean, then the diver is 45 feet away from it. Either from above or below, they are the same distance away.
Answer:
Height above the bottom gorge is 113 feet
Step-by-step explanation:
The width of the gorge = 40 feet
The height of the higher cliff = 158 feet
The height of the lower cliff = 98 feet
The length of the bridge = √((158-98)² + 40²) = 72.11 feet
The slope of the bridge = (158-98)/40 = 1.5
The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet
The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°
The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet
Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;
Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.
Answer:
THE FIRST ONE IS -3<1
THE SECOND ONE IS 7.11>-7.1
THE THIRD ONE IS 16 OVER 5
I DON'T KNOW THE LAST TWO SORRY
Answer:
h≅ 8 yards
Step-by-step explanation:
Given data
Volume of cone= 301.44 cubic yards
Radius of cone= 6 yards
Required
The Height of the cone
The expression for the volume of a cone is given as
V= 1/3πr^2h
Substitute
301.44= 1/3* 3.142*6^2*h
301.44= 37.704*h
Divide both sides by 37.704
h= 301.44/37.704
h= 7.99
h≅ 8 yards
Answer:
Step-by-step explanation:
The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.