If the dimensions were all the same number ... the box was a cube ...
then each dimension would be (the cube root of 13,800) cm.
∛13,800 = 23.986... (rounded)
so the place to look is around 23 .
(22 x 23 x 24) = 12,144 <== too small; go up one integer
(23 x 24 x 25) = 13,800 <== Eureka !
The consecutive integers are 23, 24, and 25 .
1 2/5 pounds multiplied by 5 baskets is 7 pounds of berries. 7 pounds subtract 2 1/4 pounds is 4 3/4 pounds. Her estimation is reasonable because 4 3/4 pounds is about 5 pounds.
Note that this is a right triangle, and that the length of the hypotenuse (17) is given, as is one of the acute angles (30 degrees). We need to determine the length of the "adjacent side," that is, the side of the triangle adjacent to the 30 degree angle. Which of the 6 trig functions relates the 30 degree angle, the length of the hypo. and the length of the adj. side?
cos theta = (adjacent side) / (hypotenuse)
Then cos 30 degrees = x / 17 units, or (17 units) cos (30 degrees) = x
Use your calculator to find the value of cos 30. Multiply your result by (17 units).
The result is your answer (the length of the horiz. side, DF).
Answer:
Step-by-step explanation:
(0, 1) (4, -2)
(-2 - 1)/(4 -0) = -3/4