Answer:
Since 10/9 is greater than 1, multiplying by 10/9 makes the value larger
Step-by-step explanation:
Step 1: Solve the fraction
10/9 = 1.1112
Therefore 10/9 > 1
Step 2: Multiple the fraction by itself
10/9 x 10/9 = 100/81
Convert fraction to decimals
100/81 = 1.2345678901.....
1.234567901 > 1.1112
Therefore 10/9 x 10/9 is bigger than 10/9
Answer:
x = 34 degrees
Step-by-step explanation:
Each solid line and triangle add up to 180, so start from the left and slowly do your math.
180 - 112 = 68
180 - 68 - 43 = 69
180 - 69 = 111
180 - 111 - 35 = 34
x and the last angle are the same.
Answer:
$3628.24
Step-by-step explanation:
we use the formula for accrued value (A) with compounded interest:
where A= accrued value (principal plus the accumulated interest)
P = principal -> in our case $6000
r = annual interest rate (in decimal form) -> in our case 0.06
n = number of compoundings per year. In our case 2 (semiannually)
t = time in years -> in our case 8
Since this is the value of principal plus accumulated interest, we subtract from it the principal ($6000) to get the value of just the interest:
$9628.24 - $6000 = $3628.24
Answer: 5/4 = 1 2/8
Step-by-step explanation: That's the answer
Answers:
- x = 10
- angle CAT = 126 degrees
- angle MUD = 54 degrees
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Explanation:
∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.
( m∠CAT ) + ( m∠MUD ) = 180
( 11x+16 ) + ( 4x+14 ) = 180
11x+16 + 4x+14 = 180
(11x+4x) + (16+14) = 180
15x+30 = 180
15x = 180-30
15x = 150
x = 150/15
x = 10
Let's find each angle based on this x value
- m∠CAT=11x+16 = 11*10+16 = 110+16 = 126 degrees
- m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees
Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.
