Answer: 40 tons
Step-by-step explanation:
One Ton= 2,000 lbs.
80,000/2,000= 40
Step-by-step explanation:
I think the typing of the answer options must have some typos.
the magnitude of a vector is the length of the vector.
the length of the vector is Pythagoras over its coordinates.
this vector goes from (3, -6) to (-4, 1), so the relative vector coordinates are -4 - 3 and 1 - -6 = -7, 7.
so the magnitude of length of the vector is
sqrt((-7)² + 7²) = sqrt(49+49) = sqrt(98)
= 9.899494937...
the direction angle is the angle of the vector with the x-axis.
it is the inverse tan of y/x. and in this case in the second (upper left) quadrant, since the vector is pointing up and left.
the inverse tan of 7/-7 = inverse tab of 1/-1 =
inverse tan of -1 in the second quadrant is 135°.
Answer: Surface area = 29.32 inches²
Step-by-step explanation:
The surface area is the sum of areas of the faces. There are two triangular faces and three rectangular faces.
The formula for determining the area of a triangle is expressed as
Area = 1/2 × base × height
Base = 2 inches
Height = 2 inches
Area = 1/2 × 2 × 2 = 2 inches²
Area of the 2 triangular faces
= 2 × 2 = 4 inches²
The area of the two equal rectangles is
Area = 2 × 2 × 4 = 16 inches²
To determine the width, w of the rectangular base, we would apply Pythagoras theorem.
Hypotenuse ² = opposite side² + adjacent side²
w² = 2² + 2²
w² = 4 + 4 = 8
w = √8 = 2.83
Area of the rectangular base is
2.83 × 4 = 11.32 inches²
Surface area = 4 + 16 + 11.32 = 31.32 inches²
Answer:
1/2
Step-by-step explanation:
there are exactly 50-50 chances of you rolling an odd since the die goes up to 6. there are 3 odd numbers in a 6-sided die, that over 6 is equal to 1/2.
