Answer:
D. be congruent
Step-by-step explanation:
vertical angles are angles that are across from each other on intersecting lines and they are always congruent
Answer:
a. 144 cubic foot
b. 12 ft
c. 18 ft
Step-by-step explanation:
Let the volume of prism A be V_a
and that of prism b be V_b
ATQ, V_a + V_b= 432
also V_a= 0.5 V_b
⇒1.5 V_b= 432
= V_b= 432/1.5= 288 cubic feet
therefore V_a= 144 cubic feet
volume of prism= area of base×height = V_a
24×h = 144
⇒h= 12 ft
A_b= 2/3×24
⇒base area of prism B= 16 sq.ft
now 16×h_b= 288⇒h_b= 288/16= 18 ft
Answer with explanation:
It is given that, there is positive correlation between drinking coconut milk and eating potato chips.
→Correlation coefficient is denoted by r.
→The value of r lies between , -1 and 1 which is represented as , -1 ≤r≤1.
→Correlation that is relation between two variables is said to be strongly positive, if r is equal to 1, and it is said to be strongly weak, if it is equal to -1 , and said to have no association if r=0.
→ The meaning of positive correlation is that value of r, is greater than >0.8 but less than 1.
The two variables which are positively correlated ,can have following relationship.
1. With increase in one other increases.
2.With decrease in one other decreases.
3. Slope will be a linear that is a straight line not passing through origin.
Answer:
Container B has smaller surface area.
Step-by-step explanation:
Given:
Container A
Radius = 60/2 = 30 mm
Height = 4 x 60 = 240 mm
Container B
Length = 120
Width = 120
Height = 60
Computation:
Surface area of container A (Cylinder) = 2πr[h+r]
Surface area of container A (Cylinder) = 2[22/7][60][120+60]
Surface area of container A (Cylinder) = 67,885.70 mm² (Approx)
Surface area of container B (Cuboid) = 2[lb+bh+hl]
Surface area of container B (Cuboid) = 2[(14,400)+(7,200)+(7,200)]
Surface area of container B (Cuboid) = 57,600 mm²
Container B has smaller surface area.
Answer:
3/5 mph
Step-by-step explanation:
