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Answer:
Number of rotations r < 5.25
Step-by-step explanation:
Given: bottom of the desktop is 74.5 cm from the floor.
Top of Ignacio's legs are 49.3 cm from the floor.
Each clockwise rotation on the knob raises Ignacio's legs by 4.8 cm.
To find: Inequality to determine the number of clockwise rotations r, Ignacio could make with the knob without his legs touching the desk.
Solution: Distance between Ignacio's legs and the base of the desktop = 74.5 -49.3 = 25.2
Therefore inequality will be
Height raised in one rotation × r < 25.2
4.8×r < 25.2
r < 25.2÷4.8
r < 5.25
9 is 82 blue v-necks and 43 red crew necks. 10 is for one angle it's 56 and fornthe other it is 34. For the first one, let a = blue v-necks and b = red crew necks. Then we have a system of equations: a + b = 125(total amount of shirts) and 7.95a + 8.95b = 1036.75(cost of shirts times how many shirts sold is the profit they got). Multiplyig the top equation by 8.95 we get 8.95a + 8.95b = 1118.75. Subtract that from the second and we get (8.95 - 7.95)a + (8.95 - 8.95)b = 82. The b is gone from that zero and a is being multiplied by one so that means a = 82. Plugging that into a + b = 125 and we get 82 + b = 125 ∴ b = 43. For the second question, since two angles are complementary, we can say ∠A = 90° - ∠B Then its says ∠A = 2∠B - 12. So putting the second ∠A def. into the first equation we get 2∠B - 12 = 90° - ∠B. Adding ∠B to both sides we get 3∠B -12 = 90°. Then adding 12 to both sides we get 3∠B = 102°. Divide by three and you get ∠B = 34 ∴ ∠A = 56.
