10)
60in=60in × (1ft/12in) = 5ft
30in= 30in × (1ft/12in) = 2.5ft
12in = 12in × (1ft/12in) = 1ft
answer is = 5ft × 2.5ft× 1ft =12.5 ft^3 = a
11)
dozen = 12 hammers
12 hammers = 20 pounds
therefore 1 hammer= 20/12 = 1.6666 lb
21 hammers ×1.666 = 35 = c
12)
convert qt to gal
600 gal × 4 qt/gal = 2400 qt
2400 qt ÷ 120 qt/min
=20 min = d
13)
Carla is 12
rob is 12+5= 17
cousin is 12-7 = 5
12+17+5= 34 =a
15)
convert 60ft into yards
60 ft × 0.333 yd/ft =20 yd
diameter = 20 yd
area of circle = (pi/4)×d^2
(pi/4)×20^2= 314.16 = b
For a right triangle, the sine of an angle is the ratio of the length of the side opposite to it and the hypotenuse and the its cosine is the ratio between the side adjacent to it and the hypotenuse. From the given choices, the angle being referred to is letter B. 45°.
Answer:
c
Step-by-step explanation:
Please see the attached picture for the full solution.
Answer:
Lineal.
Step-by-step explanation:
To determine if the sequence 4,10,20,34,52 ....... is a linear model, a quadratic model or a cubic model, the following mathematical logical reasoning must be carried out:
4 to 10 = +6
10 to 20 = +10
20 to 34 = +14
34 to 52 = +18
Thus, we can see at a glance that the sequence increases 4 numbers in each digit, adding first 6, then 10, then 14 and so on, with which the next numbers in that sequence should be 74 (+22), 100 ( +26), 130 (+30), 164 (+34), and so on.
Therefore, since there is no quadratic or cubic relationship, the sequence is linear.