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3 years ago

I am not sure about any of my answers and I don’t know how to find the range for question b or the slope for question c.

Mathematics

1 answer:

myrzilka [38]3 years ago

7 0

Answer:

a) is correct

b) y = -a(x - 2.5)² + h

(5.5,0)

0 = -a(5.5-2.5)² + h

h = 9a

a = h/9

48 = -a(0-2.5)² + h

h = 48 + 6.25a

h = 48 + 6.25(h/9)

h = 157.0909090681

Range: [0,157]

c) (80-144)/(4.5-3)

= -42⅔ or -42.67

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3 years ago

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3 years ago

Read 2 more answers

Help ASAP! 20 Points!

ANTONII [103]

Volume of cylinder is 3 times of volume of cone having same base diameter and same height.

Solution:

Given that

A cylinder and A cone have the same diameter = 10 inches and same height = 12 inches

Need to find the relationship between volume of cylinder and cone.

Let’s calculate volume of each object separately first.

Calculation of volume of cylinder :

Formula of volume of cylinder is given as:

$V_{c y}=\pi r^{2} h$

Where π=3.14

$\text { radius } r=\frac{\text {diameter}}{2}=\frac{10}{2}=5 \text { inches }$

height h = 12 inches

On substituting given values in formula of cylinder we get

$\begin{array}{l}{V_{c y}=3.14 \times 5^{2} \times 12=942 \text { cubic inches }} \\\\ {\text { Volume of cylinder }=V_{c y}=942 \text { cubic inches }}\end{array}$

Calculation of volume of cone:

Formula of volume of cone is given as:

$V_{c o}=\frac{\pi r^{2} h}{3}$

Here π=3.14

$\begin{array}{l}{\text { radius } r=\frac{\text { diameter }}{2}=\frac{10}{2}=5 \text { inches }} \\\\ {\text { height } \mathrm{h}=12 \text { inches }}\end{array}$