Answer:
20
Step-by-step explanation:
9514 1404 393
Answer:
cos(x) = 0.6
Step-by-step explanation:
First, we need to find UQ.
UQ = UP·cos(y°) = UP·√(1 -sin²(y°)) = (26 cm)√(1 -25/169) = (26 cm)(12/13)
UQ = 24 cm
Then TQ is ...
TQ = 1/3UQ = 1/3(24 cm) = 8 cm
And cos(x°) is ...
cos(x°) = √(1 -sin²(x)) = √(1 -64/100)
cos(x°) = 6/10 = 3/5
cos(x°) = 3/5 = 0.6
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
4x=20
4/4x=20/4
x=5
u want to isolate the variable to solve these equations
