All categories

2 years ago

Identify the diameter of the circular base created by folding the figure into a right cone.

Mathematics

2 answers:

quester [9]2 years ago

5 0

Answer:

64 in

Step-by-step explanation:

Because the radius of the circle is 32 in,

the diameter is two times the radius, or 32 * 2 = 64 in

almond37 [142]2 years ago

3 0

Answer:

A. 48 in

Step-by-step explanation:

3/4 of the circumference of existing circle becomes the full circle of the base of the cone.

Circumference of the base:

C = 3/4*2π*32 = 48 π

Find its diameter:

C = πd ⇒ d = C/π
d = 48π/π = 48 in

You might be interested in

What are the square roots of 121? Select two answers from the choices below.

zhannawk [14.2K]

Answer:

No image or answer choices

Step-by-step explanation:

6 0

2 years ago

Need assistance please thanks.

Nitella [24]

I guess the answer is 66

5 0

2 years ago

1 27 points from 35 points.

pishuonlain [190]

Answer:

127 from 35

127 - 35

Step-by-step explanation:

6 0

2 years ago

K-1234=5678 what does k equal

artcher [175]

Answer:

k=6,912

Step-by-step explanation:

5678+1234=6912

5 0

3 years ago

Read 2 more answers

Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx≤1x>1

Lera25 [3.4K]

Assuming the function is

$f(x)=\begin{cases}2x&\text{for }x\le1\\bx^2+cx&\text{for }x>1\end{cases}$

For $f(x)$ to be differentiable, it necessarily has to be continuous. For this condition to be met, we need

$\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)$
$\iff\displaystyle\lim_{x\to1}2x=\lim_{x\to1}(bx^2+cx)$
$\iff2=b+c$

For the derivative to exist, the one-sided limits of the derivative must also exist and be equal. We have

$f'(x)=\begin{cases}2&\text{for }x1\end{cases}$

$\displaystyle\lim_{x\to1^-}2=\lim_{x\to1^+}(2bx+c)$
$\iff2=2b+c$

Now we solve for $b$ and $c$ :

$\begin{cases}b+c=2\\2b+c=2\end{cases}\implies b=0,c=2$

5 0

3 years ago