Answer:
that polygon. Since the ratio P/s is constant, hence we can say that the perimeter of a square is directly proportional to the length of a side. Hence the constant of proportionality for the perimeter of a square and length of it's side is 4.08
Step-by-step explanation:
where's the question and picture
is more than 1/2 so he painted more than 1/2 of his house
Answer by JKismyhusbandbae: expression 2 and expression 1
Look at the four expressions. Simplify any expressions that can be simplified to see which two are equivalent.
8v × 30v = ( 8 × 30) × ( v × v) = ![240v^2](https://tex.z-dn.net/?f=240v%5E2)
Since expression 2 can be simplified to expression 1, they are equivalent.
It will take 0.4 seconds to get to the home plate.
Given:
The speed of the pitch thrown by Justin is 100 miles per hour
The distance of home plate from the pitching rubber is 60.5 feet
To find:
The time taken by a pitch to reach the home plate
Solution:
The distance home plate from the pitching rubber = d = 60.5 feet
![1 mile = 5280 feet\\1 foot=\frac{1}{5280} mile\\60.5 feet=60.5 \times \frac{1}{5280} mile=\frac{60.5}{5280}miles](https://tex.z-dn.net/?f=1%20mile%20%3D%205280%20feet%5C%5C1%20foot%3D%5Cfrac%7B1%7D%7B5280%7D%20mile%5C%5C60.5%20feet%3D60.5%20%5Ctimes%20%5Cfrac%7B1%7D%7B5280%7D%20mile%3D%5Cfrac%7B60.5%7D%7B5280%7Dmiles)
The speed of pitch thrown by Justin = s = 100 miles/hr
The time taken by a pitch to reach the home plate = t =?
The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.
![Speed=\frac{Distance}{Time}\\s=\frac{d}{t}\\100 miles/hr=\frac{\frac{60.5}{5280}miles}{t}\\t=\frac{60.5}{5280}miles\times \frac{1}{100 miles/hr}\\= 0.000114583 hr](https://tex.z-dn.net/?f=Speed%3D%5Cfrac%7BDistance%7D%7BTime%7D%5C%5Cs%3D%5Cfrac%7Bd%7D%7Bt%7D%5C%5C100%20miles%2Fhr%3D%5Cfrac%7B%5Cfrac%7B60.5%7D%7B5280%7Dmiles%7D%7Bt%7D%5C%5Ct%3D%5Cfrac%7B60.5%7D%7B5280%7Dmiles%5Ctimes%20%5Cfrac%7B1%7D%7B100%20miles%2Fhr%7D%5C%5C%3D%200.000114583%20hr)
In an hour there are 3600 seconds, then in 0.000114583 hours will be:
![1 hour=3600 seconds\\=0.000114583 \times 3600=0.4124988 s\approx 0.4 s](https://tex.z-dn.net/?f=1%20hour%3D3600%20seconds%5C%5C%3D0.000114583%20%5Ctimes%203600%3D0.4124988%20s%5Capprox%200.4%20s)
It will take 0.4 seconds to get to the home plate.
Learn more about conversions here:
brainly.com/question/24530464
brainly.com/question/17743460
Answer:
![-5, 18, \sqrt{13}](https://tex.z-dn.net/?f=-5%2C%2018%2C%20%5Csqrt%7B13%7D)
Step-by-step explanation:
We can solve the first equation, f of -3. The value of the function f is
, and plugging in -3 gets us
, this results in 10 divided by negative 2, which is negative 5.
Now, we must solve g of negative one third. The function g is defined as
. Plugging in negative one third into the question gets us ![|9(-\frac{1}{3})-15|](https://tex.z-dn.net/?f=%7C9%28-%5Cfrac%7B1%7D%7B3%7D%29-15%7C)
9 times negative one third is -3, and -3 minus 15 is -18. The absolute value of -18 is 18.
Now, we must solve h of negative 2, and h is defined as
. Plugging in negative 2, we have
. Negative 8 times negative 2 is positive 16, and 16 minus 3 is 13. The answer is the square root of 13