Answer:
The base of the second parallelogram is 51cm.
Step-by-step explanation:
If the parallelograms are similar, it means by applying the same scale factor to all the sides in one gives you the other. The question tells us the height of the first shape is 8cm and the height of the second shape is 34cm. That means the scale factor is:
Apply this same scale factor to the base of the first shape to find the base of the second:
The distance that will separate each rest stop is 4 kilometers.
<h3>What is the distance?</h3>
Division is the process of parting a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
The distance = length of the trail / number of rest stops
20 km / 5 = 4km
To learn more about division, please check: brainly.com/question/13281206
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Answer:
B. 38.5
Step-by-step explanation:
Not 100% sure, but
41+36=77
77/2=
=38.5
Answer:
$0.025x² . . . where x is a number of percentage points
Step-by-step explanation:
The multiplier for semi-annual compounding will be ...
(1 + x/2)² = 1 + x + x²/4
The multiplier for annual compounding will be ...
1 + x
The multiplier for semiannual compounding is greater by ...
(1 + x + x²/4) - (1 + x) = x²/4
Maria's interest will be greater by $1000×(x²/4) = $250x², where x is a decimal fraction.
If x is a percent value, as in x = 6 when x percent = 6%, then the difference amount is ...
$250·(x/100)² = $0.025x² . . . where x is a number of percentage points
_____
<u>Example</u>:
For x percent = 6%, the difference in interest earned on $1000 for one year is $0.025×6² = $0.90.
Answer: 26 years old
Step-by-step explanation:
- Create an equation with Austin as x and Jamie as x+69 (I just like workin with addition signs more)= 4(x-3)= x+69-3
- Simplify the equations --> 4x-12=x+66
- Solve the equation: 3x-12=66 --> 3x=78 --> x=26
This is the same as other age problems, just with the extra step of distributing the multiplication.
