Answer:
The expression Riley could have used to find the product of the two numbers is 24 × (30 + 7).
Step-by-step explanation:
The distribution property for multiplication is:
In this case we need to determine the product of 37 and 24.
Compute the product as follows:
Thus, the product of 37 and 24 is 888.
To solve for Simple interest, we use the formula:
I = Principal x Rate x Time(year)
where:
I = Simple interest = ?
Principal = $2,350
Rate = Rate on Interest = 3.77% = 0.0377
Time = 15 months, we have to convert 15months to year
12 months = 1 year
15 months = ?
Cross multiply
= 15 x 1/12
= 1.25 year
The Simple interest is calculated as:
$2350 x 0.0377 x 1.25
= $110.74375
Approximately = $110.74
Therefore, the simple interest on $2,350 is $110.74
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Answer: The proof is mentioned below.
Step-by-step explanation:
Here, Given : m∠AOC = 160° m∠AOD= (3x-10)° and m∠ DOC= (x+14)°
Prove: x= 39°
Statement Reason
1. m∠AOC = 160°, m∠AOD= (3x-10)° 1. Given
and m∠ DOC= (x+14)°
2. m∠AOD+m∠DOC=m∠AOC 2. Because OD divides ∠AOC
into ∠AOD and ∠DOC
3. (3x-10)° +(x+14)°= 160° 3. By substitution
4. 4x+4 = 160° 4. By equating like terms
5. 4x= 156° 5. By subtraction property
of equality
6. x= 39° 6. By division property of equality
is the only acute angle whose sin = 1/2. Therefore, cos (
) =
It’s a infinite because do fist 2•3x= 6x then 2•1=2 then look 6x+2=6x+2
