So, for
T = 2 pi square m / k
the steps would be:
1) multiply by k
2) divide by <span>2π</span><span>
3) square</span>
Hope this is useful
Hello! And thank you for your question!
First move all the terms to one side:
<span>x^<span><span>2</span><span></span></span></span>−4x−9−29=<span>0
</span>
Then simplify x^2−4x−9−29:
<span><span><span>x<span><span>^2</span><span></span></span></span>−4x−38=0</span><span>
Then use the quadratic formula:
x = 4 + 2</span>√42 over 2 , 4 - 2√42 over 2
Finally simplify:
x = 2 + √42, 2 - √42
Final Answer:
x = 2 + √42, 2 - √42
</span>
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:
180 sq mm, 9 sq un, 8 sq un
Step-by-step explanation:
Put your number into the half-angle formula and simplify.
The appropriate selection is ...
