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2 years ago

What is the radius of the base of the cone in the figure below?

Mathematics

1 answer:

liubo4ka [24]2 years ago

7 0

Answer: approximately 12.17 units

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Work Shown:

We'll use the tangent ratio to find r

tan(angle) = opposite/adjacent

tan(49) = 14/r

r*tan(49) = 14

r = 14/tan(49)

r = 12.1700143294271

r = 12.17

The radius is approximately 12.17 units long.

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The table represents an exponential function. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4

scoray [572]

Answer:

The multiplicative rate of change of the function is $\dfrac{2}{3}$

Step-by-step explanation:

You are given the table

$\begin{array}{cc}x&y\\ \\1&6\\2&4\\ \\3&\dfrac{8}{3}\\ \\4&\dfrac{16}{9}\end{array}$

An exponential function can be written as

$y=a\cdot b^x,$

where b is the multiplicative rate of change of the function.

Find a and b. Substitute first two corresponding values of x and y into the function expression:

$6=a\cdot b^1\\ \\4=a\cdot b^2$

Divide the second equality by the first equality:

$\dfrac{4}{6}=\dfrac{a\cdot b^2}{a\cdot b^1}\Rightarrow b=\dfrac{2}{3}$

Substitute it into the first equality:

$6=a\cdot \dfrac{2}{3}\Rightarrow a=\dfrac{6\cdot 3}{2}=9$

So, the function expression is

$y=9\cdot \left(\dfrac{2}{3}\right)^x$

Check whether remaining two values of x and y suit this expression:

$9\cdot \left(\dfrac{2}{3}\right)^3=9\cdot \dfrac{8}{27}=\dfrac{8}{3}\\ \\9\cdot \left(\dfrac{2}{3}\right)^4=9\cdot \dfrac{16}{81}=\dfrac{16}{9}$

So, the multiplicative rate of change of the function is $\dfrac{2}{3}$

4 0

3 years ago

Read 2 more answers

Mr. Shahoian needs to replace the 166.25 ft of fencing around the flower beds in his backyard. The fencing is sold in lengths of

Pepsi [2]

Answer: Mr. Shahoian need to purchase 9 pieces of fencing.

Step-by-step explanation:

Given: Length of fencing around the flower beds in his backyard = 166.25 ft

The fencing is sold in lengths of 19 ft each.

Number of pieces of fencing = (Length of fencing ) ÷ (19)

i.e. Number of pieces of fencing = 166.25 ÷ 19

= 8.75 ≈ 9

Hence, Mr. Shahoian need to purchase 9 pieces of fencing.

4 0

3 years ago

What is 1+x=4,we're trying to find what x equals

IgorC [24]

The answer is (X=3). You could have did 4-1 which is 3.

5 0

2 years ago

Read 2 more answers

2(p+1)=16 A. 7 B. 7.5 C. 8.5 D. 9

dexar [7]

What exactly are we trying to work out here?

7 0

2 years ago

How do you solve this ?

levacccp [35]

Put the table into mahpapa.com and it will probably tell u other than that i dunno

5 0

3 years ago