Answer: there are 25 red flowers in Sakura's garden.
Step-by-step explanation:
In Sakura's garden, for every 5 red flowers, there are 10 yellow flowers. This means that if there are 10 red flowers, there would be 20 yellow flowers. if there are 20 red flowers, there would be 40 yellow flowers. Therefore, the ratio of red flowers to yellow flowers in the garden is
5/10 = 10/20 £= 20/40 = 1/2 = 1:2
Total ratio = 2 + 1 = 3
If there are 75 total red and yellow flowers, then the total number of red flowers are in Sakura's garden would be
1/3 × 75 = 25
I might be wrong cause I don’t removed this from 4 years ago but it should be 36.4 also plz mark brainlyiest
Answer:
Option C, ![f(-1) = 4\\](https://tex.z-dn.net/?f=f%28-1%29%20%3D%204%5C%5C)
Step-by-step explanation:
<u>Step 1: Set x to -1</u>
<u />![f(x)=4x^2](https://tex.z-dn.net/?f=f%28x%29%3D4x%5E2)
![f(-1)=4(-1)^2](https://tex.z-dn.net/?f=f%28-1%29%3D4%28-1%29%5E2)
![f(-1)= 4(1)](https://tex.z-dn.net/?f=f%28-1%29%3D%204%281%29)
![f(-1) = 4\\](https://tex.z-dn.net/?f=f%28-1%29%20%3D%204%5C%5C)
Answer: Option C, ![f(-1) = 4\\](https://tex.z-dn.net/?f=f%28-1%29%20%3D%204%5C%5C)
Answer:
C. 210 miles
Step-by-step explanation:
We have been given that two cars leave Phoenix and travel along roads 90 degrees apart. Car 1 leaves 30 minutes earlier than Car 2 and averages 42 mph.
We will use distance formula and Pythagoras theorem to solve our given problem.
![\text{Distance}=\text{Speed}\times \text{Time}](https://tex.z-dn.net/?f=%5Ctext%7BDistance%7D%3D%5Ctext%7BSpeed%7D%5Ctimes%20%5Ctext%7BTime%7D)
![\text{Distance covered by Car 1 in 3.5 hours}=\frac{42\text{ Miles}}{\text{Hour}}\times \text{3.5 hour}](https://tex.z-dn.net/?f=%5Ctext%7BDistance%20covered%20by%20Car%201%20in%203.5%20hours%7D%3D%5Cfrac%7B42%5Ctext%7B%20Miles%7D%7D%7B%5Ctext%7BHour%7D%7D%5Ctimes%20%5Ctext%7B3.5%20hour%7D)
.
Since car 1 leaves 30 minutes before car 2, so car 2 will travel for only 3 hours when car 1 will travel for 3.5 hours.
![\text{Distance covered by Car 2 in 3 hours}=\frac{50\text{ Miles}}{\text{Hour}}\times \text{3 hour}](https://tex.z-dn.net/?f=%5Ctext%7BDistance%20covered%20by%20Car%202%20in%203%20hours%7D%3D%5Cfrac%7B50%5Ctext%7B%20Miles%7D%7D%7B%5Ctext%7BHour%7D%7D%5Ctimes%20%5Ctext%7B3%20hour%7D)
![\text{Distance covered by Car 2 in 3 hours}=150\text{ Miles}](https://tex.z-dn.net/?f=%5Ctext%7BDistance%20covered%20by%20Car%202%20in%203%20hours%7D%3D150%5Ctext%7B%20Miles%7D)
Since both car travel along roads 90 degree apart, therefore, the distance between both cars after Car 1 has traveled 3.5 hours would be hypotenuse with legs 147 and 150.
![\text{Distance between both cars}=\sqrt{147^2+150^2}](https://tex.z-dn.net/?f=%5Ctext%7BDistance%20between%20both%20cars%7D%3D%5Csqrt%7B147%5E2%2B150%5E2%7D)
![\text{Distance between both cars}=\sqrt{21609+22500}](https://tex.z-dn.net/?f=%5Ctext%7BDistance%20between%20both%20cars%7D%3D%5Csqrt%7B21609%2B22500%7D)
![\text{Distance between both cars}=\sqrt{44109}](https://tex.z-dn.net/?f=%5Ctext%7BDistance%20between%20both%20cars%7D%3D%5Csqrt%7B44109%7D)
![\text{Distance between both cars}=210.021427\approx 210](https://tex.z-dn.net/?f=%5Ctext%7BDistance%20between%20both%20cars%7D%3D210.021427%5Capprox%20210)
Therefore, the both cars will be 210 miles apart and option C is the correct choice.
Answer:
![\frac{18√2}{√3}](https://tex.z-dn.net/?f=%5Cfrac%7B18%E2%88%9A2%7D%7B%E2%88%9A3%7D)
Step-by-step explanation:
- The lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3.
- The lengths of the sides of a 45-45-90 triangle are in the ratio 1 : 1 : √2
- We can get the length of the longest side of the bottom triangle is 9×2÷√3 =
![\frac{18}{√3}](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7B%E2%88%9A3%7D)
- And based on the theory shown on the 2nd step, we can get x (the length of the longest side of the upper triangle) is
x√2