Answer:
To find 6 rational numbers between 9 and 10 are
9x7\1x7 10x7\1x7
63\7 70\7
so, 6 rational numbers are:
64\7,65\7,66\7,67\7,68\7and 69\7
Answer:
10 cm
Step-by-step explanation:
If we assume that DC is parallel to AB, then triangle DOC is similar to triangle AOB.
However, even with this assumption, there is not enough information in the diagram to solve for DO. We would also need to know the length of CO. Then we could write a proportion:
DO / (DO + 20) = CO / (CO + 24)
Edit: OD is 2 cm shorter than OC. If we call x the length of OD, then the length of OC is x+2.
Putting this into our proportion:
x / (x + 20) = (x + 2) / (x + 2 + 24)
x / (x + 20) = (x + 2) / (x + 26)
Cross multiply:
x (x + 26) = (x + 2) (x + 20)
Distribute:
x² + 26x = x² + 20x + 2x + 40
x² + 26x = x² + 22x + 40
4x = 40
x = 10
So the length of DO is 10 cm.
Answer:
no ,yes yes I think.
Step-by-step explanation:
Answer:
They are 261.96 meters apart.
Step-by-step explanation:
From the question, considering a North, East, South and west pole, Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal.
Thus, the total angle between them is 23 + 33 = 56°.
Therefore, let the distance between them be c and we can calculate that using the cosine law. Thus,
c² = a² + b² – 2ab cos θ
Where a and b are distances travelled respectively by Gustavo and Aiden. While θ is the angle between them.
Thus,
c² = 300² + 250²– 2(300) (250)cos 56
c² = 90000 + 62500 - 83878.9355
c² = 68621.0645
c = √68621.0645
c = 261.96 m
They are 261.96 meters apart.
Answer:
The equation of the line with a slope of 1/5 that passes through the point (10,9) is:
Step-by-step explanation:
Given
Slope = m = 1/5
Point (10, 9)
To Determine
An equation of the line with a slope of 1/5 that passes through the point (10,9).
We know that the point-slope form of the line equation is
where
- m is the slope of the line
substituting the values m = 1/5 and the point (10, 9) in the equation
Add 9 to both sides
Therefore, the equation of the line with a slope of 1/5 that passes through the point (10,9) is:
