Step 1.
Calculate measure of angle α:
Step 2.
Calculate what fraction of the angle 360° is the angle α:
Step 3.
Calculate the circumference of the Earth (circle):
Step 4.
The length of arc is equal 1/40 of the circumference:
<h3>Answer: A) 628 miles</h3>
First, we have to find how many times 10 goes into 15.
We can divide 15 by 10, and we will see that 10 goes into 15 1 whole time, with 5/10 left over.
Now, we can simplify!
In order to simplify, we have to find the GCF (greatest common factor) of 5 and 10. Let's list out the factors (the numbers that can be divided into 5 and 10)
1*5
1*10
2*5
The largest factor, as we can see, is 5! Let's dicide 5/10 by 5.
5/5=1
10/5=2
So, 5/10 simplifies to 1/2, and, if we bring down the whole number we found before, 15/10 is equal to 1 and 1/2! :)
We can check this answer by multiplying the whole number, 1, by the denominator, (the bottom number of a fraction) 2, and adding the numerator, (the top number of a fraction), 1.
1*2=2
2+1=3
Keep the denominator as 2.
The improper fraction is 3/2, which is equivalent to 15/10 (multiply 3/2 by 5 to see)!
So, our answer is 1 1/2.
I hope I helped! :)
Answer: <span>D. Are perpendicular
</span><span>4x=3y+23 slope = 4/3
</span><span>4y+3x=-19 slope = -3/4</span>
add 6a and 5a and get 11a
then:
11a=-11
a=-1
