Answer:
4.
5.
Step-by-step explanation:
The sides of a (30 - 60 - 90) triangle follow the following proportion,
Where (a) is the side opposite the (30) degree angle, (
) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,
4.
It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.
The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times (
). Thus the following statement can be made,
The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,
5.
In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,
The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,
The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,
Answer:
b. How many ways arc there to go 12 miles?
≡ p(12) = 25
c. How many ways arc there to go 20 miles?
≡ p(20) = 131
d. How many ways arc there to go 22 miles?
≡p(22) 199
Step-by-step explanation:
a) supposed you walked for the first hour. Then you would have travelled 3 miles. if you jogged you would have covered 5miles and if you run you would have covered 10miles. now you have to decide how to run the rest miles from the n miles.
Thus, the number of ways one can cover n miles will be given by the recurrence relation
p(n) = p( n-3) + p( n-5) + p( n - 10)
now to solve the rest of the question, let us make a table which provides the number of ways for n = 1 to 22.
check the attachment for the table
b. How many ways arc there to go 12 miles?
≡ p(12) = 25
c. How many ways arc there to go 20 miles?
≡ p(20) = 131
d. How many ways arc there to go 22 miles?
≡p(22) 199
Answer:
6 miles
Step-by-step explanation:
Flat fee is $4
Per mile is $3
Equation :
4 + 3m = 22
subtract 4 from both sides
3m = 18
divide each side by 3
m = 6
The ride is 6 miles.
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-Chetan K
Answer: Hope this helps
Step-by-step explanation:
6.39 = 639
100
= 639
100
as a fraction
To convert the decimal 6.39 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
6.39 = 6.39
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
6.39
1
= (6.39 × 100)
(1 × 100)
= 639
100
.
(This fraction is alread reduced, We can't reduce it any further).
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 639
100
is also equal to 639
100
when expressed as a mixed number
If you want to find the whole, you have to start by dividing 100% by 60%, so you can multiply that quotient by 3/4 to find the whole. 100/60=10/6=5/3. That means 5/3*60%=100%, so 3/4*5/3=whole. 3/4*5/3=15/12, and simplify to get 5/4, or 1 1/4. 3/4 is 60% of 1 and 1/4, or 5/4.
