Answer:
<h2>12 </h2>
Step-by-step explanation:
<h2>2.5x = 30</h2><h2>x = 30 / 2.5</h2><h2>x = 12</h2>
Answer:
D) 3:10
Step-by-step explanation:
Well only blues and yellows are at least $5. there are 25 yellows and 5 blues and if you add them together there's 30 in total. Now compare that 30 to 100 and you have 30:100. In the simplest form you have to divide both sides by 10 and it becomes 3:10.
Answer:
The height of the new cones will be 16.5 inches.
Step-by-step explanation:
We know that,
The volume of a cone is,
Where, r is the radius of the cone,
h is the height of the cone,
In the original cone,
r = 22 inches,
h = 66 inches,
Thus, the volume would be,
Also, for the new cone,
r = 44 inches,
Let H be the height,
So, the volume of the new cone would be,
According to the question,
Hence, the height of the new cones will be 16.5 inches.
Answer:
k = 10
Step-by-step explanation:
The triangles angels added up must equal 180 degrees, and the top angle is 65 degrees by the 180 degree rule.
So 10k + 15 must equal the remaining 115
subtract 15 from each side and you get 10k = 100
divide each each by 10 and you get the answer of k = 10
Answer:
36. Limit = 2/3.
Step-by-step explanation:
36.
(∛ x- 1) / (√x - 1)
Rationalise the expression:-
Multiply top and bottom by (√x + 1):-
(∛x - 1)(√x + 1) / (√x - 1)(√x + 1)
= x^5/6 + ∛x - √x - 1 / (x - 1)
Applying L'hopital's rule ( differentiating top and bottom of the fraction) we have:
Limit as x ----> 1 of [5/6 x^-1/6 + 1/3 x^(-2/3) - 1/2x^-1/2] / 1
= 5/6(1) + 1/3(1) - 1/2(1) = 2/3 (answer).
