By inspection, LMNO is similar to PQRS.
For similar figures, corresponding sides are proportional, therefore
LM/PQ=MN/QR
Substituting values
4/2=6/c
Cross-multiply
4c=6*2=12
c=12/4=3
Answer:the total number of horses in the herd is 36
Step-by-step explanation:
Let x represent the total number of horses in the herd.
One fourth of the herd of horses was seen in the forest. This means that the number of horses that was seen in the forest would be
1/4 × x = x/4
Twice the square root of the herd had gone to the mountain slopes. This means that the number of horses that had gone to the mountain slopes would be
2 × √x = 2√x
Three times five horses remained on the riverbank. This means that the number that remained would be
3 × 5 = 15
Therefore
x/4 + 2√x + 15 = x
x - x/4 - 15 = 2√x
(4x - x - 60)/4 = 2√x
(3x - 60)/4 = 2√x
Cross multiplying,
3x - 60 = 8√x
Squaring both sides of the equation, it becomes
(3x - 60)(3x - 60) = 64x
9x² - 180x - 180x + 3600 = 64x
9x² - 360x - 64x + 3600 = 0
9x² - 424x + 3600 = 0
Applying the quadratic equation
x = (- b ±√b² - 4ac)/2a
x = ( - - 424 ± √-424² - 4(9 × 3600)/2 × 9
x = (424 ± √179776 - 129600)/18
x = (424 ±√50176)/18
x = (424 + 224)/18 or
x = (424 - 224)/18
x = 36 or x = 11.11
the number of horses must be whole number. Therefore, the number of horses is 36
Answer:
It's ratios. Comparisions I think
Step-by-step explanation:
The speed of the runner:Number of races she won- Positive
The size of the vehichle:Miles per Gallon of gas in the tank so how far it can travel- Negative
The number of the Telephones you own:Calls you recieve-Positive
Do you have another thing to show? Or is it just that?
Hey there! :)
There are 3 pennies
There is a total of 18 coins; 3 + 5 + 4 + 6 = 18
3 ÷ 18 = 0.16666666667 = 0.17
Your answer is 1/6 or 0.17
Hope this helps :)
-2(20-50)
60 is your answer
