Answer:
since inscribed angle is half of the central angle
x²+22=2(x²+3)
x²+22=2x²+6
22-6=2x²-x²
16=x²
x=√16=±4
determine the value(s) of x=±4
Answer:
Step-by-step explanation:
6 and 9
The principal amount is $37.5
Step-by-step explanation:
Rate of interest= 16%
Rate of Interest = $18
Time = 3 months
Interest = (principal amount x rate of interest x time) /100
18 = (p x 16 x 3) /100
1800 = 48p
P = 1800/48
P = 37.5
The principal amount is $37.5
Answer:
The answer for the question "What is the constant of proportionality?" is 2.
The answer for the question "If Micah saves $150, How much money will his parents give him?" is $300.
Step-by-step explanation:
a. If for every $5, Micah will receive $10 more that means that he will receive the double of his initial saving. So, a number that multiplied by 5 is equal to 10 is 2. Therefore, the proportionality equation will be Y=2X, where Y is 10 and X is 5. In cunclusion, 2 is the constant of proportionality.
b. Having in mind that the equation is Y=2X, and that X is equal to Micah's savings, we need to replace that X with 150. Then, 150 is multiplied by 2 and the result is Y, in this case 300. So, Micah's parents will give him $300 if he saves $150.
Answer:
The total area of the figure is 
Step-by-step explanation:
we know that
The area of the figure is equal to the area of the rectangle plus the area of the isosceles right triangle
<u>Find the area of rectangle</u>
Find the area of the isosceles right triangle
<u>Find the total area of the figure</u>
