One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
Answer:
a. The constant = 45
b. The unit rate is 45 miles per hour
c. d = 45t
Step-by-step explanation:
a. ∵ d ∝ t
∴ d = kt
∵ d = 90 at t = 2
∴ 90 = k(2)
∴ k = 90 ÷ 2 = 45
∴ The constant of proportionality is 45
b. ∵ k = d(miles) ÷ t(hours) = 45
∴ The unit rate is 45 miles per hour
c. The equation is ⇒ d = 45t
The 3 goes with the square root you don’t need to multiply or anything like that. If you need to simply for example 3 square root of 20 which is when 3 is outside the square root sign. The 20 will be separated with 4*5 in the square root and then you will square root the 4 leaving the 5 in and bringing 2 out. Now you can’t just bring it out and forget about the 3 outside you need to multiply that 2 and 3 and you get 6! So you final answer is 6 square root 5. Hope this helps reply if you have a question!
Answer:
No, it is not a right triangle.
Step-by-step explanation:
Given:
The sides of the triangle = 15 10 and 7
To Find:
Whether the triangle is a right triangle = ?
Solution:
According to Pythagorean theorem , In an right triangle the the sum of the squares of the two smaller sides must equal to the square of the larger side
where
a and b are the smaller sides
c is the larger side
Now from the given data, lets assume
a = 10 and b =7 and c =15
Substituting in the above equation we get,
100 + 49 = 225
149 = 225
So, the given triangle is not a right triangle.
Answer:
<u>600 meters</u>
Step-by-step explanation:
<u>Case 1 : Speed of 1 m/s</u>
- d = v * t
- d = 1 * t
- d = t [Equation 1]
<u>Case 2 : Speed of 1.5 m/s</u>
- d = v * t
- d = 1.5 * (t - 200)
- d = 1.5t - 300 [Equation 2]
As distance in both cases is the same, equate the values of d from both equations.
- t = 1.5t - 300
- 0.5t = 300
- t = 300 * 2
- <u>t = 600 s</u>
Now, put the value of t in <u>Equation 1</u> to find d.
