12 = 2/3(x - 3)
<em><u>Distributive property.</u></em>
12 = 2/3x - 2
<em><u>Add 2 to both sides.</u></em>
14 = 2/3x
<em><u>Multiply both sides by 3.</u></em>
42 = 2x
<em><u>Divide both sides by 2.</u></em>
21 = x
The value of x is equal to 21.
Answer: 35 cm
Step-by-step explanation:
Given : Diameter of a circle= 24 cm
Let r be the radius of the circle.
then 
Since a tangent is always at right angles to the radius where it touches the circle.
Join the point A to the center of the circle such that it will become a right triangle with 37 cm as the longest sides [since it is the side opposite to the right angle.]
Let x denote the length of the tangents.
By Pythagoras theorem, we have
Hence, the length of each tangent from point a to the point of the tangency=35 cm
Answer:
135
Step-by-step explanation:
Hope this helps!
The amount that will be in the account after three years is $1,254.00.
Using this formula
B = P+ ( P x R x T)
Where:
B=Amount ?
P=Principal=$1,200
r=Rate=1.5% or 0.015
T=Time=3 years
Let plug in the formula
B=$1,200+($1,200×0.015×3)
B=$1,200+$54
B= $1,254.00
Inconclusion the amount that will be in the account after three years is $1,254.00.
Learn more here:
brainly.com/question/20348538
9514 1404 393
Answer:
3.8 = 38/10 = 19/5
Step-by-step explanation:
You can always represent a terminating decimal number as the ratio of integers. Count the number of decimal places, and multiply and divide it by 10 to that power. If you like, you can reduce the resulting fraction. 3.8 has 1 decimal place, so our chosen power of 10 is 10¹.
3.8 = (3.8×10¹)/(10¹) = 38/10 = 19/5
