Answer:
x=-10
Step-by-step explanation:
2(x+3)=x-4 (Multiply the 2 by the x and the 3);
2x+6=x-4 (Now you group like terms)
2x-x=-4-6
x=-10
Step-by-step explanation:
a) Line AB ll DC
b) Line GH acts as a transversal.
c) <10 ; <12 , <9 ; <11
d) <8 = 180° - 120° = <u>60</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<6 = <u>120</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<5 = <u>60</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<4 = <u>60</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<3 = <u>120</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<2 = <u>120</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
<1 = <u>60</u><u>°</u><u>(</u><u>Ans</u><u>)</u>
Answer:
2.05 inches
Step-by-step explanation:
V = 4/3 x πr³
36=4πr³/3
36x3= 4πr³
108= 4πr³
108/4 = πr³
27= πr^3
27/π =r³
r=
![\sqrt[3]{27 \div \pi}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B27%20%5Cdiv%20%5Cpi%7D%20)
r= 2.048in
round off to 2.05in
<u>PROOF</u>
V = 4÷3 x πr³
V= 4/3 x π(2.05)³
V=4/3 x π8.6
V=4×π×8.6/3
V=108/3
V=36in³
Therefore: radius= <u>2.05 inches</u>
Answer:
133.33 years
Step-by-step explanation:
Given that:
Principal = $500
Interest rate (r) = 1.5% = 0.015
Triple amount of principal = $500 * 3 = $1500 = final amount (A)
Number of years (t) =?
Using the relation :
A = P(1 + rt)
1500 = 500(1 + 0.015t)
1500 / 500 = 1 + 0.015t
3 = 1 + 0.015t
3 - 1= 0.015t
2 = 0.015t
2 / 0.015 = 0.015t / 0.015
133.333 = t
133.33 years
