Answer: 80
Step-by-step explanation:
Do 6 x 40=240 to find the amount of rope needed in ft
Do 240 divided by 3 to convert to yards
Answer:
x ≥4
Step-by-step explanation:
-4(8-3x) ≥6x-8
Distribute
-32+12x ≥6x-8
Subtract 6x from each side
-32+12x-6x ≥6x-6x-8
-32+6x ≥-8
Add 32 from each side
-32+32 +6x ≥-8+32
6x ≥ 24
Divide each side by 6
6x/6 ≥24/6
x ≥4
Answer:
Area of field = 10 cm²
Step-by-step explanation:
Given field is a trapezium;
Parallel sides of given field are; 1¹/₂ cm and 3¹/₂ cm
Height of trapezium = 4 cm
Find:
Area of field
Computation:
Area of field = Area of trapezium
Area of trapezium = [Sum of Parallel sides / 2][h]
Area of field = [(1¹/₂ + 3¹/₂) / 2][4]
Area of field = [(5) / 2][4]
Area of field = [2.5][4]
Area of field = 10 cm²
Answer:
79.1 ft
Step-by-step explanation:
Draw a vertical segment about 3 inches tall. Label the upper endpoint A and the lower endpoint B. That is the cell phone tower. Starting at point B, draw a horizontal segment 1 inch long to the right. Label the right endpoint C. Connect C to A with a segment.
Segment BC is 25 ft long. Segment AB is 75 ft long. Angle B is a right angle.
You are looking for the length of segment AC, the guy wire length.
Triangle ABC is a right triangle with right angle B.
Sides AB and BC are the legs, and side AC is the hypotenuse.
We can use the Pythagorean Theorem:
(leg1)^2 + (leg2)^2 = (hyp)^2
Let one leg be a, the other leg be b, and let the hypotenuse be c.
Then you have
a^2 + b^2 = c^2
We have a = 75 ft
b = 25 ft
We are looking for c, the length of the hypotenuse.
(75 ft)^2 + (25 ft)^2 = c^2
5625 ft^2 + 625 ft^2 = c^2
6250 ft^2 = c^2
c^2 = 6250 ft^2
Take the square root of both sides.
c = 79.0569... ft
Answer: 79.1 ft
