Answer: the length of the arc from her dog house to the hydrant is 69 feet
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = 24 feet
θ = 165 degrees
Therefore,
Length of the minor arc, DG = 165/360 × 2 × 3.14 × 24
Length of arc = 69 feet rounded up to the nearest feet.
1. Horizontal asymptotes: None
Vertical asymptote: x=-2
RD: 2
Domain: First picture
Range: first pic
2.HA: y=1
VA: x= -5 negative
RD: x= 5 no negative
Domain: second pic
Range second pic
3.HA: y=0
VA: x=-4,4
RD: none
D: 3rd pic
R: 3rd pic
4.HA: none
VA: x=3
RD: x=-2
D: 4th
R: 4th
I hope this helps!!!!!!!
Answer:
18
Step-by-step explanation:
multyply both like 10 x 6 then 11 x 7 after that subtrac the numbers that you múltiple and you will get the answer
Well, we are starting with 100 servings, and we're trying to find the amount of ingredients necessary to create 25 servings. To do this, we must first simply divide 25 by 100 to see what the ratio would be, and when we do this, we can see that
25 / 100 =
![\frac{25}{100}](https://tex.z-dn.net/?f=%20%5Cfrac%7B25%7D%7B100%7D%20)
=
![\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20)
Now, all we have to do is multiply all of the ingredients by the ratio to find out how much we would use for only a quarter of the amount that the original recipe calls for.
In order to multiply by a whole number by a fraction, you just need to make sure that the numerator is lined up with the whole number, and then put a 1 below the whole number to turn it into a fraction. Then, you can divide the numerators and denominators together, respectively.
1.) 100 *
![\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20)
=
![\frac{100}{1} * \frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B100%7D%7B1%7D%20%2A%20%20%5Cfrac%7B1%7D%7B4%7D%20)
=
![\frac{100 * 1}{1 * 4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B100%20%2A%201%7D%7B1%20%2A%204%7D%20)
=
![\frac{100}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B100%7D%7B4%7D%20)
=
252.) 72 *
![\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20)
=
![\frac{72}{1} * \frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B72%7D%7B1%7D%20%2A%20%20%5Cfrac%7B1%7D%7B4%7D%20)
=
![\frac{72 * 1}{1*4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B72%20%2A%201%7D%7B1%2A4%7D%20)
=
![\frac{72}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B72%7D%7B4%7D%20)
=
18 3.) 14 *
![\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20)
=
![\frac{14}{1} * \frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B14%7D%7B1%7D%20%2A%20%5Cfrac%7B1%7D%7B4%7D%20)
=
![\frac{14 *1}{1*4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B14%20%2A1%7D%7B1%2A4%7D%20)
=
![\frac{14}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B14%7D%7B4%7D%20)
=
3 ![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
4.) 6 *
![\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20)
=
![\frac{6}{1} * \frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B1%7D%20%2A%20%5Cfrac%7B1%7D%7B4%7D%20)
=
![\frac{6*1}{1*4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%2A1%7D%7B1%2A4%7D%20)
=
![\frac{6}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B4%7D%20)
= <span>
1 ![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
</span>
5.) 24 *
![\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20)
=
![\frac{24}{1} * \frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B24%7D%7B1%7D%20%2A%20%5Cfrac%7B1%7D%7B4%7D%20)
=
![\frac{24*1}{1*4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B24%2A1%7D%7B1%2A4%7D%20)
=
![\frac{24}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B24%7D%7B4%7D%20)
=
66.) 80 *
![\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20)
= <span>
![\frac{80}{1} * \frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B80%7D%7B1%7D%20%2A%20%5Cfrac%7B1%7D%7B4%7D%20)
=
![\frac{80*1}{1*4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B80%2A1%7D%7B1%2A4%7D%20)
=
![\frac{80}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B80%7D%7B4%7D%20)
= <span>
20</span>
</span>7.) 50 *
![\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20)
=
![\frac{50}{1} * \frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B50%7D%7B1%7D%20%2A%20%5Cfrac%7B1%7D%7B4%7D%20)
=
![\frac{50*1}{1*4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B50%2A1%7D%7B1%2A4%7D%20)
=
![\frac{50}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B50%7D%7B4%7D%20)
=
12 ![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
And there you have the recipe ingredients necessary for 25 servings.
Hope that helped! =)